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    "# High-Q phase-gradient metasurfaces in Tidy3D\n",
    "\n",
    "**Author: Hamish Carr Delgado, Stanford University.**\n",
    "\n",
    "This tutorial builds a phase-gradient metasurface workflow in Tidy3D, starting from a single nanobar unit cell and ending with a fully 3D notched supercell that supports a resonant guided-mode response. The goal is to connect the physical design logic — phase coverage, supercell construction, guided-mode identification, and symmetry breaking — to a simulation-ready beam-steering metasurface example.\n",
    "\n",
    "The design is based on the following papers:\n",
    "\n",
    "> **Nonreciprocal Flat Optics with Silicon Metasurfaces**\n",
    "> Mark Lawrence, David R. Barton III, Jennifer A. Dionne\n",
    "> *Nano Letters* (2018)\n",
    "> [https://pubs.acs.org/doi/abs/10.1021/acs.nanolett.7b04646](https://pubs.acs.org/doi/abs/10.1021/acs.nanolett.7b04646)\n",
    "\n",
    "> **High quality factor phase gradient metasurfaces**\n",
    "> Mark Lawrence, David R. Barton III, Jefferson Dixon, Jung-Hwan Song, Jorik van de Groep, Mark L. Brongersma, Jennifer A. Dionne\n",
    "> *Nature Nanotechnology* (2020)\n",
    "> [https://www.nature.com/articles/s41565-020-0754-x](https://www.nature.com/articles/s41565-020-0754-x)\n",
    "\n",
    "The notebook is organized as a progressive design study. We first establish phase control in a simple dielectric bar library, then assemble a phase-gradient supercell, identify the underlying guided mode in the widest bar, perturb that mode with a notch, and finally simulate the full 3D notched supercell to recover the resonant diffraction response and field profile.\n",
    "\n",
    "## Tutorial Roadmap\n",
    "\n",
    "The tutorial is organized into six sections:\n",
    "\n",
    "1. **Unit-cell transmission and phase response.** Sweep the width of a dielectric nanobar unit cell and extract transmission amplitude and phase to build a design library.\n",
    "2. **Choosing a phase triplet for beam steering.** Select three bar widths whose transmitted phases span a \\(2\\pi\\) ramp in steps of \\(2\\pi/3\\) with high transmission.\n",
    "3. **Building and testing a three-bar phase-gradient supercell.** Assemble the chosen widths into a supercell and verify that the structure redirects light into the \\(\\pm 1\\) diffraction orders.\n",
    "4. **Guided-mode analysis of the widest bar.** Solve for the modes supported by the widest bar in a finite-width 3D configuration to identify the mode that will later be perturbed.\n",
    "5. **Choosing the perturbation period and building the perturbed bar.** Introduce a symmetry-breaking notch in the widest bar and verify resonant coupling to the guided mode in a 3D simulation.\n",
    "6. **High-Q phase-gradient metasurface with periodic perturbations.** Insert the notched widest bar back into the supercell, extract the resonant wavelength from the diffraction response, and visualize the resonant guided-mode profile.\n",
    "\n",
    "<img src=\"img/phase_gradient_metasurface.png\" width=\"600\" alt=\"Schematic\">\n"
   ]
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    "## Physical Picture\n",
    "\n",
    "A silicon nanobar behaves in two useful ways. First, when illuminated at normal incidence, its width controls the complex transmission coefficient, so a width sweep can be used to build a phase library for metasurface design. Second, the same bar also supports guided modes, which normally couple only weakly to free-space radiation.\n",
    "\n",
    "A phase-gradient metasurface uses several bar widths that provide different transmitted phases while maintaining high transmission. Repeating a supercell made of those widths creates a transverse phase ramp, which redirects light into a nonzero diffraction order.\n",
    "\n",
    "To obtain a high-Q response, we then add a weak periodic perturbation along the bar. This perturbation supplies the momentum and symmetry breaking needed to couple an incident plane wave into a guided mode. Because the perturbation can be kept small, the resonant leakage rate remains weak, producing a narrow linewidth and large quality factor.\n"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:12:43 -03 </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Using canonical configuration directory at                </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'/home/filipe/.config/tidy3d'</span><span style=\"color: #800000; text-decoration-color: #800000\">. Found legacy directory at           </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'~/.tidy3d'</span><span style=\"color: #800000; text-decoration-color: #800000\">, which will be ignored. Remove it manually or run      </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'tidy3d config migrate --delete-legacy'</span><span style=\"color: #800000; text-decoration-color: #800000\"> to clean up.               </span>\n",
       "</pre>\n"
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       "\u001b[2;36m14:12:43 -03\u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING: Using canonical configuration directory at                \u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'/home/filipe/.config/tidy3d'\u001b[0m\u001b[31m. Found legacy directory at           \u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'~/.tidy3d'\u001b[0m\u001b[31m, which will be ignored. Remove it manually or run      \u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'tidy3d config migrate --delete-legacy'\u001b[0m\u001b[31m to clean up.               \u001b[0m\n"
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   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import tidy3d as td\n",
    "import tidy3d.web as web\n",
    "from tidy3d.plugins.mode import ModeSolver"
   ]
  },
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   "source": [
    "## Common Parameters\n",
    "\n",
    "We define the material system, wavelength range, and geometric scales once at the top of the notebook. This reduces redundancy and makes it easier to compare the unperturbed and perturbed designs on equal footing. The silicon bar and sapphire substrate are described by [Medium](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Medium.html) objects with constant permittivities.\n"
   ]
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   "source": [
    "# Optical and spectral settings\n",
    "lambda0 = 1.50 * um\n",
    "freq0 = td.C_0 / lambda0\n",
    "bandwidth = 0.20 * freq0\n",
    "num_freqs = 101\n",
    "freqs = np.linspace(freq0 - bandwidth / 2, freq0 + bandwidth / 2, num_freqs)\n",
    "\n",
    "# Materials\n",
    "si = td.Medium(permittivity=3.48**2, name=\"Si\")\n",
    "sapphire = td.Medium(permittivity=1.75**2, name=\"sapphire\")\n",
    "air = td.Medium(permittivity=1.0, name=\"air\")\n",
    "\n",
    "# Unit-cell geometry\n",
    "h_bar = 0.70 * um\n",
    "p_bar = 0.707 * um\n",
    "sub_t = 5.0 * um\n",
    "pml_t = 1.00 * um\n",
    "\n",
    "# Grid / runtime\n",
    "run_time = 2e-12"
   ]
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   "source": [
    "## Helper Functions\n",
    "\n",
    "The functions below provide a clean separation between geometry construction and simulation setup. The same conventions are reused for the unit-cell, supercell, and perturbed-bar simulations. They build the [Structure](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Structure.html) objects for the bar and substrate, together with the [PlaneWave](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.PlaneWave.html) source and the [DiffractionMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.DiffractionMonitor.html), [FluxMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FluxMonitor.html), and [FieldMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FieldMonitor.html) monitors used throughout the notebook.\n"
   ]
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    "# Example source and monitors for the 2D unit-cell simulations\n",
    "\n",
    "source = td.PlaneWave(\n",
    "    source_time=td.GaussianPulse(freq0=freq0, fwidth=bandwidth),\n",
    "    size=(td.inf, td.inf, 0),\n",
    "    center=(0, 0, -2),\n",
    "    direction=\"+\",\n",
    "    pol_angle=0,\n",
    "    name=\"planewave\",\n",
    ")\n",
    "\n",
    "monitor_t = td.DiffractionMonitor(\n",
    "    center=(0, 0, 1.5),\n",
    "    size=(td.inf, td.inf, 0),\n",
    "    freqs=[freq0],\n",
    "    name=\"t\",\n",
    ")\n",
    "\n",
    "T_monitor = td.FluxMonitor(\n",
    "    center=(0, 0, 3),\n",
    "    size=(td.inf, td.inf, 0),\n",
    "    freqs=freqs,\n",
    "    name=\"Transmission\",\n",
    ")\n",
    "\n",
    "R_monitor = td.FluxMonitor(\n",
    "    center=(0, 0, -3),\n",
    "    size=(td.inf, td.inf, 0),\n",
    "    freqs=freqs,\n",
    "    name=\"Reflection\",\n",
    ")\n",
    "\n",
    "xz_field = td.FieldMonitor(\n",
    "    center=(0, 0, 0),\n",
    "    size=(td.inf, 0, 3),\n",
    "    fields=[\"Ex\", \"Ey\", \"Ez\", \"Hx\", \"Hy\", \"Hz\"],\n",
    "    freqs=[freq0],\n",
    "    name=\"XZ field\",\n",
    "    colocate=True,\n",
    ")\n",
    "\n",
    "\n",
    "def make_substrate(period_x, period_y=td.inf, sub_t=sub_t):\n",
    "    return td.Structure(\n",
    "        geometry=td.Box(\n",
    "            center=(0, 0, -sub_t / 2),\n",
    "            size=(td.inf, td.inf, sub_t),\n",
    "        ),\n",
    "        medium=sapphire,\n",
    "        name=\"substrate\",\n",
    "    )\n",
    "\n",
    "\n",
    "def make_bar(width, center=(0, 0, h_bar / 2), length=td.inf, height=h_bar):\n",
    "    return td.Structure(\n",
    "        geometry=td.Box(center=center, size=(width, length, height)),\n",
    "        medium=si,\n",
    "        name=f\"bar_w_{width:.3f}\",\n",
    "    )\n",
    "\n",
    "\n",
    "def make_unit_cell(width, period=p_bar):\n",
    "    return make_bar(width=width, length=td.inf)\n",
    "\n",
    "\n",
    "def make_unit_cell_sim(width, period=p_bar, dl=0.02):\n",
    "    sim_size_2d = (period, 0, sub_t + h_bar + 2 * pml_t)\n",
    "\n",
    "    sim = td.Simulation(\n",
    "        center=(0, 0, 0),\n",
    "        size=sim_size_2d,\n",
    "        grid_spec=td.GridSpec.uniform(dl=dl),\n",
    "        structures=[\n",
    "            make_unit_cell(width, period=period),\n",
    "            make_substrate(period_x=period),\n",
    "        ],\n",
    "        sources=[source],\n",
    "        monitors=[monitor_t],\n",
    "        run_time=5e-12,\n",
    "        shutoff=1e-7,\n",
    "        boundary_spec=td.BoundarySpec(\n",
    "            x=td.Boundary.periodic(),\n",
    "            y=td.Boundary.periodic(),\n",
    "            z=td.Boundary.pml(),\n",
    "        ),\n",
    "        symmetry=(0, 0, 0),\n",
    "        medium=air,\n",
    "    )\n",
    "    return sim"
   ]
  },
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   "source": [
    "## 1. Unit-Cell Transmission and Phase Response\n",
    "\n",
    "We first compute the complex transmission of a single periodic nanobar cell. The important quantity is the zeroth transmitted diffraction order, since that is the forward-propagating channel used to define the local phase response. We extract it from a [DiffractionMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.DiffractionMonitor.html) placed above the bar.\n",
    "\n",
    "In practice, we sweep the bar width and extract both the amplitude and phase of the transmitted field. The width sweep is launched in parallel using a [Batch](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.web.api.container.Batch.html), and the resulting phase library is later used to choose widths for a phase-gradient supercell.\n"
   ]
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "example_width = 0.30 * um\n",
    "sim_size_2d = (p_bar, 0, sub_t + h_bar + 2 * pml_t)\n",
    "\n",
    "bar = make_bar(example_width, length=td.inf)\n",
    "substrate = make_substrate(period_x=p_bar)\n",
    "\n",
    "sim_uc = td.Simulation(\n",
    "    center=(0, 0, 0),\n",
    "    size=sim_size_2d,\n",
    "    grid_spec=td.GridSpec.uniform(dl=0.02),\n",
    "    structures=[bar, substrate],\n",
    "    sources=[source],\n",
    "    monitors=[T_monitor, R_monitor, xz_field],\n",
    "    run_time=run_time,\n",
    "    shutoff=1e-7,\n",
    "    boundary_spec=td.BoundarySpec(\n",
    "        x=td.Boundary.periodic(),\n",
    "        y=td.Boundary.periodic(),\n",
    "        z=td.Boundary.pml(),\n",
    "    ),\n",
    "    symmetry=(0, 0, 0),\n",
    "    medium=air,\n",
    ")\n",
    "\n",
    "sim_uc.plot(y=0)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "e05374f1",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "0e14eae1308f4d258b6fdcf46ac742d1",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:12:59 -03 </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">41</span> tasks.                      \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:12:59 -03\u001b[0m\u001b[2;36m \u001b[0mStarted working on Batch containing \u001b[1;36m41\u001b[0m tasks.                      \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:14:02 -03 </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1.025</span> for the whole batch.                \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:14:02 -03\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m1.025\u001b[0m for the whole batch.                \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Use <span style=\"color: #008000; text-decoration-color: #008000\">'Batch.real_cost()'</span> to get the billed FlexCredit cost after    \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>completion.                                                        \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mUse \u001b[32m'Batch.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed FlexCredit cost after    \n",
       "\u001b[2;36m             \u001b[0mcompletion.                                                        \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "40026824ab604876b53919dbef97d965",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:14:25 -03 </span>Batch complete.                                                    \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:14:25 -03\u001b[0m\u001b[2;36m \u001b[0mBatch complete.                                                    \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "widths = np.linspace(0.20, 0.45, 41) * um\n",
    "\n",
    "batch = web.Batch(simulations={f\"w_{w:.4f}\": make_unit_cell_sim(w) for w in widths})\n",
    "batch_data = batch.run(path_dir=\"data/unit_cell_width_sweep\")\n",
    "\n",
    "t = np.zeros(len(widths), dtype=complex)\n",
    "\n",
    "for i, w in enumerate(widths):\n",
    "    data = batch_data[f\"w_{w:.4f}\"]\n",
    "    t[i] = data[\"t\"].amps.sel(f=freq0, orders_x=0, orders_y=0, polarization=\"p\").item()\n",
    "\n",
    "amps = np.abs(t)\n",
    "theta = np.unwrap(np.angle(t))\n",
    "theta = theta - theta[0]\n",
    "theta_norm = theta / (2 * np.pi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e0f03461",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 700x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(7, 5))\n",
    "plt.plot(widths / um, theta_norm, linewidth=3, c=\"blue\")\n",
    "plt.plot(widths / um, amps, linewidth=3, c=\"red\")\n",
    "\n",
    "plt.xlabel(\"Bar width (µm)\")\n",
    "plt.xlim(widths[0] / um, widths[-1] / um)\n",
    "plt.ylim(-0.05, 1.05)\n",
    "plt.yticks(np.linspace(0, 1, 6))\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "49b2bfa4",
   "metadata": {},
   "source": [
    "## 2. Choosing a Phase Triplet for Beam Steering\n",
    "\n",
    "A phase-gradient metasurface redirects light by imposing a transverse phase discontinuity, as described by the generalized Snell's law framework introduced by Yu *et al.* [Science 2011]. For a linear phase profile, the metasurface behaves like a blazed grating: a total phase ramp of \\(2\\pi\\) across one supercell period \\(\\Lambda\\) preferentially redirects light into a nonzero diffraction order.\n",
    "\n",
    "To couple the transmitted field mainly into the \\(\\pm 1\\) diffraction order at the design wavelength, we choose a supercell period of approximately \\(\\Lambda = 2121\\) nm. Dividing this into three equal subcells gives \\(p_{\\mathrm{bar}} = \\Lambda/3 = 707\\) nm per bar, so neighboring bars should differ in transmitted phase by \\(2\\pi/3\\) to span a full \\(2\\pi\\) ramp across the supercell.\n",
    "\n",
    "With this choice, three bar widths from the unit-cell sweep act as a compact phase library: each supercell approximates a linear phase ramp, and repeating it across the surface directs light into the desired first diffraction order.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ffb9d898",
   "metadata": {},
   "source": [
    "We now search the width sweep for triplets that satisfy two conditions:\n",
    "\n",
    "1. The transmitted phases are close to three evenly spaced values separated by \\(2\\pi/3\\).\n",
    "2. The transmission amplitudes of all three bars exceed a chosen threshold.\n",
    "\n",
    "After finding all valid triplets, we rank them by mean amplitude, minimum amplitude, or the product of amplitudes. This makes it easy to pick a set of widths that provides both good phase coverage and strong transmission.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "4db8fb70",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Found 15 valid triplets\n",
      "\n",
      "Top 10 triplets by mean amplitude:\n",
      "indices=(0, 7, 17), w=[0.2    0.2438 0.3062], amp=[0.9933 0.95   0.9529], phase/2pi=[0.     0.3061 0.6622], mean=0.9654, min=0.9500, prod=0.8992\n",
      "indices=(3, 10, 40), w=[0.2188 0.2625 0.45  ], amp=[0.9939 0.9646 0.937 ], phase/2pi=[0.0808 0.414  0.7429], mean=0.9652, min=0.9370, prod=0.8983\n",
      "indices=(2, 10, 39), w=[0.2125 0.2625 0.4438], amp=[0.9951 0.9646 0.9336], phase/2pi=[0.0591 0.414  0.736 ], mean=0.9644, min=0.9336, prod=0.8960\n",
      "indices=(1, 8, 18), w=[0.2062 0.25   0.3125], amp=[0.9954 0.9505 0.9427], phase/2pi=[0.0303 0.3601 0.686 ], mean=0.9629, min=0.9427, prod=0.8919\n",
      "indices=(2, 9, 38), w=[0.2125 0.2563 0.4375], amp=[0.9951 0.956  0.9231], phase/2pi=[0.0591 0.3839 0.7264], mean=0.9581, min=0.9231, prod=0.8782\n",
      "indices=(2, 9, 19), w=[0.2125 0.2563 0.3188], amp=[0.9951 0.956  0.9176], phase/2pi=[0.0591 0.3839 0.7144], mean=0.9562, min=0.9176, prod=0.8730\n",
      "indices=(2, 10, 20), w=[0.2125 0.2625 0.325 ], amp=[0.9951 0.9646 0.9006], phase/2pi=[0.0591 0.414  0.7336], mean=0.9534, min=0.9006, prod=0.8644\n",
      "indices=(2, 9, 37), w=[0.2125 0.2563 0.4312], amp=[0.9951 0.956  0.905 ], phase/2pi=[0.0591 0.3839 0.7141], mean=0.9520, min=0.9050, prod=0.8610\n",
      "indices=(3, 10, 21), w=[0.2188 0.2625 0.3313], amp=[0.9939 0.9646 0.876 ], phase/2pi=[0.0808 0.414  0.7514], mean=0.9448, min=0.8760, prod=0.8398\n",
      "indices=(1, 8, 36), w=[0.2062 0.25   0.425 ], amp=[0.9954 0.9505 0.8794], phase/2pi=[0.0303 0.3601 0.7   ], mean=0.9417, min=0.8794, prod=0.8320\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Best triplet indices: [ 1  8 36]\n",
      "Best triplet w: [0.20625 0.25    0.425  ]\n",
      "Best triplet |t|: [0.99543214 0.95045022 0.87935738]\n",
      "Best triplet phase/2π: [0.03031425 0.36010208 0.69998862]\n"
     ]
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "phase = np.mod(theta, 2 * np.pi)\n",
    "amp = np.abs(t)\n",
    "w_list = widths / um\n",
    "\n",
    "dphi_target = 2 * np.pi / 3\n",
    "phase_tol = 0.05 * 2 * np.pi\n",
    "amp_thresh = 0.8\n",
    "\n",
    "triplet_data = []\n",
    "seen = set()\n",
    "\n",
    "for i0 in range(len(phase)):\n",
    "    phi0 = phase[i0]\n",
    "\n",
    "    phi1_target = np.mod(phi0 + dphi_target, 2 * np.pi)\n",
    "    phi2_target = np.mod(phi0 + 2 * dphi_target, 2 * np.pi)\n",
    "\n",
    "    dphi1 = np.angle(np.exp(1j * (phase - phi1_target)))\n",
    "    dphi2 = np.angle(np.exp(1j * (phase - phi2_target)))\n",
    "\n",
    "    cand1 = np.where(np.abs(dphi1) < phase_tol)[0]\n",
    "    cand2 = np.where(np.abs(dphi2) < phase_tol)[0]\n",
    "\n",
    "    if cand1.size == 0 or cand2.size == 0:\n",
    "        continue\n",
    "\n",
    "    i1 = int(cand1[np.argmin(np.abs(dphi1[cand1]))])\n",
    "    i2 = int(cand2[np.argmin(np.abs(dphi2[cand2]))])\n",
    "\n",
    "    idx_trip = tuple(sorted([i0, i1, i2]))\n",
    "\n",
    "    if len(set(idx_trip)) < 3 or idx_trip in seen:\n",
    "        continue\n",
    "    seen.add(idx_trip)\n",
    "\n",
    "    amps_trip = amp[list(idx_trip)]\n",
    "    phases_trip = phase[list(idx_trip)]\n",
    "\n",
    "    if np.all(amps_trip > amp_thresh):\n",
    "        triplet_data.append(\n",
    "            {\n",
    "                \"indices\": idx_trip,\n",
    "                \"w\": w_list[list(idx_trip)],\n",
    "                \"amp\": amps_trip,\n",
    "                \"phase_norm\": phases_trip / (2 * np.pi),\n",
    "                \"mean_amp\": np.mean(amps_trip),\n",
    "                \"min_amp\": np.min(amps_trip),\n",
    "                \"prod_amp\": np.prod(amps_trip),\n",
    "            }\n",
    "        )\n",
    "\n",
    "best_by_mean = sorted(triplet_data, key=lambda x: x[\"mean_amp\"], reverse=True)\n",
    "best_by_min = sorted(triplet_data, key=lambda x: x[\"min_amp\"], reverse=True)\n",
    "best_by_prod = sorted(triplet_data, key=lambda x: x[\"prod_amp\"], reverse=True)\n",
    "\n",
    "print(f\"Found {len(triplet_data)} valid triplets\\n\")\n",
    "\n",
    "print(\"Top 10 triplets by mean amplitude:\")\n",
    "for item in best_by_mean[:10]:\n",
    "    print(\n",
    "        f\"indices={item['indices']}, \"\n",
    "        f\"w={np.round(item['w'], 4)}, \"\n",
    "        f\"amp={np.round(item['amp'], 4)}, \"\n",
    "        f\"phase/2pi={np.round(item['phase_norm'], 4)}, \"\n",
    "        f\"mean={item['mean_amp']:.4f}, \"\n",
    "        f\"min={item['min_amp']:.4f}, \"\n",
    "        f\"prod={item['prod_amp']:.4f}\"\n",
    "    )\n",
    "\n",
    "# Choose one candidate, matching the previous notebook style\n",
    "best = best_by_mean[9]\n",
    "idx_trip = np.array(best[\"indices\"])\n",
    "w_trip = w_list[idx_trip]\n",
    "\n",
    "phase_norm = np.mod(theta, 2 * np.pi) / (2 * np.pi)\n",
    "amp = np.abs(t)\n",
    "\n",
    "fig, ax_phase = plt.subplots(figsize=(6, 4))\n",
    "\n",
    "color_phase = \"C0\"\n",
    "color_amp = \"C1\"\n",
    "\n",
    "ax_phase.plot(\n",
    "    w_list,\n",
    "    phase_norm,\n",
    "    color=color_phase,\n",
    "    lw=2,\n",
    "    label=\"Phase / 2π\",\n",
    ")\n",
    "\n",
    "ax_phase.plot(\n",
    "    w_trip,\n",
    "    phase_norm[idx_trip],\n",
    "    linestyle=\"none\",\n",
    "    marker=\"o\",\n",
    "    markersize=8,\n",
    "    markeredgecolor=\"k\",\n",
    "    markerfacecolor=color_phase,\n",
    "    label=\"bar widths\",\n",
    ")\n",
    "\n",
    "ax_phase.set_xlabel(\"w (µm)\")\n",
    "ax_phase.set_ylabel(\"Phase / 2π\", color=color_phase)\n",
    "ax_phase.tick_params(axis=\"y\", labelcolor=color_phase)\n",
    "\n",
    "ax_amp = ax_phase.twinx()\n",
    "ax_amp.plot(\n",
    "    w_list,\n",
    "    amp,\n",
    "    color=color_amp,\n",
    "    lw=2,\n",
    "    ls=\"--\",\n",
    "    label=\"|t|\",\n",
    ")\n",
    "ax_amp.set_ylabel(\"|t|\", color=color_amp)\n",
    "ax_amp.tick_params(axis=\"y\", labelcolor=color_amp)\n",
    "ax_amp.set_ylim(0, 1.05 * amp.max())\n",
    "\n",
    "lines_phase, labels_phase = ax_phase.get_legend_handles_labels()\n",
    "lines_amp, labels_amp = ax_amp.get_legend_handles_labels()\n",
    "ax_phase.legend(lines_phase + lines_amp, labels_phase + labels_amp, loc=\"best\")\n",
    "\n",
    "fig.tight_layout()\n",
    "plt.show()\n",
    "\n",
    "print(\"Best triplet indices:\", idx_trip)\n",
    "print(\"Best triplet w:\", w_trip)\n",
    "print(\"Best triplet |t|:\", amp[idx_trip])\n",
    "print(\"Best triplet phase/2π:\", phase_norm[idx_trip])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "21597aec",
   "metadata": {},
   "source": [
    "## 3. Building and Testing a Three-Bar Phase-Gradient Supercell\n",
    "\n",
    "Once a suitable triplet of bar widths has been selected, we can combine the three unit cells into a single supercell. Repeating this supercell along the metasurface imposes a discrete approximation to a linear phase ramp, which should redirect transmitted light into a nonzero diffraction order.\n",
    "\n",
    "Here we construct a three-bar supercell with period \\(3p_{\\mathrm{bar}}\\), using the selected widths in neighboring cells. We then simulate the structure and examine the transmitted diffraction efficiencies as a function of wavelength. If the phase-gradient design is working as intended, most of the transmitted power should be directed into one of the first diffraction orders rather than remaining in the zeroth order.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "dc28ee9f",
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_3bar_unit_cell_sim(w1, w2, w3, dl=0.02):\n",
    "    sim_size_3bar = (3 * p_bar, 0, sub_t + h_bar + 2 * pml_t)\n",
    "\n",
    "    monitor_t_3bar = td.DiffractionMonitor(\n",
    "        center=(0, 0, 1.5),\n",
    "        size=(td.inf, td.inf, 0),\n",
    "        freqs=freqs,\n",
    "        name=\"t\",\n",
    "    )\n",
    "\n",
    "    xz_field_3bar = td.FieldMonitor(\n",
    "        center=(0, 0, 0),\n",
    "        size=(td.inf, 0, td.inf),\n",
    "        fields=[\"Ex\", \"Ey\", \"Ez\", \"Hx\", \"Hy\", \"Hz\"],\n",
    "        freqs=freqs,\n",
    "        name=\"xz_field\",\n",
    "        colocate=True,\n",
    "    )\n",
    "\n",
    "    structures = [\n",
    "        make_bar(w1, center=(-p_bar, 0, h_bar / 2), length=td.inf),\n",
    "        make_bar(w2, center=(0.0, 0, h_bar / 2), length=td.inf),\n",
    "        make_bar(w3, center=(p_bar, 0, h_bar / 2), length=td.inf),\n",
    "        make_substrate(period_x=3 * p_bar),\n",
    "    ]\n",
    "\n",
    "    sim = td.Simulation(\n",
    "        center=(0, 0, 0),\n",
    "        size=sim_size_3bar,\n",
    "        grid_spec=td.GridSpec.uniform(dl=dl),\n",
    "        structures=structures,\n",
    "        sources=[source],\n",
    "        monitors=[monitor_t_3bar, xz_field_3bar],\n",
    "        run_time=5e-12,\n",
    "        shutoff=1e-7,\n",
    "        boundary_spec=td.BoundarySpec(\n",
    "            x=td.Boundary.periodic(),\n",
    "            y=td.Boundary.periodic(),\n",
    "            z=td.Boundary.pml(),\n",
    "        ),\n",
    "        symmetry=(0, 0, 0),\n",
    "        medium=air,\n",
    "    )\n",
    "    return sim"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "5c3fc114",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "w1, w2, w3 = best[\"w\"]\n",
    "sim_3bar = make_3bar_unit_cell_sim(w1, w2, w3)\n",
    "\n",
    "ax = sim_3bar.plot(y=0)\n",
    "sim_3bar.plot_grid(y=0, ax=ax)\n",
    "ax.set_aspect(0.8)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "e37bd866",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:14:50 -03 </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'3bar_sim'</span> with resource_id                           \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-9bc35d3f-338b-49fa-bd9e-8a7088be6b3d'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:14:50 -03\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'3bar_sim'\u001b[0m with resource_id                           \n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'fdve-9bc35d3f-338b-49fa-bd9e-8a7088be6b3d'\u001b[0m and task_type \u001b[32m'FDTD'\u001b[0m.  \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>View task using web UI at                                          \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-9bc35d3f-338b-49fa-bd9e-8a7088be6b3d\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-9bc35d3f-338</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-9bc35d3f-338b-49fa-bd9e-8a7088be6b3d\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">b-49fa-bd9e-8a7088be6b3d'</span></a>.                                         \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                                          \n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=402207;https://tidy3d.simulation.cloud/workbench?taskId=fdve-9bc35d3f-338b-49fa-bd9e-8a7088be6b3d\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=332650;https://tidy3d.simulation.cloud/workbench?taskId=fdve-9bc35d3f-338b-49fa-bd9e-8a7088be6b3d\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=402207;https://tidy3d.simulation.cloud/workbench?taskId=fdve-9bc35d3f-338b-49fa-bd9e-8a7088be6b3d\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=522855;https://tidy3d.simulation.cloud/workbench?taskId=fdve-9bc35d3f-338b-49fa-bd9e-8a7088be6b3d\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=402207;https://tidy3d.simulation.cloud/workbench?taskId=fdve-9bc35d3f-338b-49fa-bd9e-8a7088be6b3d\u001b\\\u001b[32m-9bc35d3f-338\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=402207;https://tidy3d.simulation.cloud/workbench?taskId=fdve-9bc35d3f-338b-49fa-bd9e-8a7088be6b3d\u001b\\\u001b[32mb-49fa-bd9e-8a7088be6b3d'\u001b[0m\u001b]8;;\u001b\\.                                         \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/folder-431883bc-afbb-4cc8-a95f-ddfeaeeb059a\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=695240;https://tidy3d.simulation.cloud/folders/folder-431883bc-afbb-4cc8-a95f-ddfeaeeb059a\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\.                                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "5e558e92719b43129385fb3c6cda112c",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:14:53 -03 </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.025</span>. Minimum cost depends on task     \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>execution details. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed  \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>FlexCredit cost after a simulation run.                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:14:53 -03\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.025\u001b[0m. Minimum cost depends on task     \n",
       "\u001b[2;36m             \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed  \n",
       "\u001b[2;36m             \u001b[0mFlexCredit cost after a simulation run.                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:14:55 -03 </span>status = queued                                                    \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:14:55 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                    \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or              \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the web UI.      \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Terminating the Python script will not stop the job running on the \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>cloud.                                                             \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mTo cancel the simulation, use \u001b[32m'web.abort\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or              \n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'web.delete\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or abort/delete the task in the web UI.      \n",
       "\u001b[2;36m             \u001b[0mTerminating the Python script will not stop the job running on the \n",
       "\u001b[2;36m             \u001b[0mcloud.                                                             \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "fb369a09e2514d3badc267816a2f254a",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:15:05 -03 </span>starting up solver                                                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:15:05 -03\u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                                 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>running solver                                                     \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                     \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "27ea8bcd52464c3da79d2d4283b6276d",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:15:16 -03 </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">57</span>%, exiting.                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:15:16 -03\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected at \u001b[1;36m57\u001b[0m%, exiting.                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:15:17 -03 </span>status = postprocess                                               \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:15:17 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                               \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "7770b76514ef4c2ea3748f6a6673e4d0",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:15:23 -03 </span>status = success                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:15:23 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                   \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:15:25 -03 </span>View simulation result at                                          \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-9bc35d3f-338b-49fa-bd9e-8a7088be6b3d\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-9bc35d3f-338</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-9bc35d3f-338b-49fa-bd9e-8a7088be6b3d\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">b-49fa-bd9e-8a7088be6b3d'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                         \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:15:25 -03\u001b[0m\u001b[2;36m \u001b[0mView simulation result at                                          \n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=170743;https://tidy3d.simulation.cloud/workbench?taskId=fdve-9bc35d3f-338b-49fa-bd9e-8a7088be6b3d\u001b\\\u001b[4;34m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=474578;https://tidy3d.simulation.cloud/workbench?taskId=fdve-9bc35d3f-338b-49fa-bd9e-8a7088be6b3d\u001b\\\u001b[4;34mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=170743;https://tidy3d.simulation.cloud/workbench?taskId=fdve-9bc35d3f-338b-49fa-bd9e-8a7088be6b3d\u001b\\\u001b[4;34m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=288951;https://tidy3d.simulation.cloud/workbench?taskId=fdve-9bc35d3f-338b-49fa-bd9e-8a7088be6b3d\u001b\\\u001b[4;34mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=170743;https://tidy3d.simulation.cloud/workbench?taskId=fdve-9bc35d3f-338b-49fa-bd9e-8a7088be6b3d\u001b\\\u001b[4;34m-9bc35d3f-338\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=170743;https://tidy3d.simulation.cloud/workbench?taskId=fdve-9bc35d3f-338b-49fa-bd9e-8a7088be6b3d\u001b\\\u001b[4;34mb-49fa-bd9e-8a7088be6b3d'\u001b[0m\u001b]8;;\u001b\\\u001b[4;34m.\u001b[0m                                         \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "438d575a430045eeadc11511e7a2557a",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:15:34 -03 </span>Loading results from data/tutorial/3bar_sim.hdf5                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:15:34 -03\u001b[0m\u001b[2;36m \u001b[0mLoading results from data/tutorial/3bar_sim.hdf5                   \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_3bar_data = web.run(\n",
    "    sim_3bar,\n",
    "    task_name=\"3bar_sim\",\n",
    "    path=\"data/tutorial/3bar_sim.hdf5\",\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "fff8503b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "diff_t = sim_3bar_data[\"t\"]\n",
    "\n",
    "freqs_3bar = np.asarray(diff_t.f)\n",
    "lams = td.constants.C_0 / freqs_3bar\n",
    "lams_um = lams\n",
    "\n",
    "amps = diff_t.amps\n",
    "amps_p = amps.sel(polarization=\"p\")\n",
    "eta_p = np.abs(amps_p) ** 2\n",
    "\n",
    "try:\n",
    "    eta_p_1d = eta_p.squeeze(\"orders_y\")\n",
    "except Exception:\n",
    "    eta_p_1d = eta_p\n",
    "\n",
    "orders_x = np.asarray(eta_p_1d.coords[\"orders_x\"])\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(6, 4))\n",
    "\n",
    "for m in orders_x:\n",
    "    eta_m = np.asarray(eta_p_1d.sel(orders_x=m))\n",
    "    ax.plot(lams_um, eta_m, label=f\"m = {m}\")\n",
    "\n",
    "ax.set_xlabel(\"Wavelength (µm)\")\n",
    "ax.set_ylabel(\"Diffraction efficiency (p-pol)\")\n",
    "ax.set_title(\"Transmitted diffraction efficiency vs wavelength\")\n",
    "ax.legend(title=\"Order\", bbox_to_anchor=(1.05, 1), loc=\"upper left\")\n",
    "ax.set_ylim(0, 1.05 * np.max(np.asarray(eta_p_1d)))\n",
    "\n",
    "fig.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8fa7223b",
   "metadata": {},
   "source": [
    "The result confirms that the three-bar supercell functions as a beam-steering metasurface. Instead of transmitting mostly into the zeroth order, the structure redirects most of the transmitted power into one of the first diffraction orders over a broad wavelength range. This verifies that the discrete phase ramp selected from the unit-cell phase library is sufficient to produce the intended anomalous refraction behavior.\n",
    "\n",
    "We can also inspect the near-field distribution inside and above the supercell. The field profile on the \\(xz\\) plane shows how the three neighboring bars shape the transmitted wavefront and launch a tilted outgoing field. In particular, the phase ramp encoded by the three bar widths appears as a spatially varying field pattern above the metasurface, consistent with the redistribution of power into a nonzero diffraction order.\n",
    "\n",
    "To make this more intuitive, we animate the real part of the complex field at a fixed frequency near \\(f_0\\). This phase sweep reconstructs the time-harmonic oscillation of the field and makes the steered transmitted wavefront easier to see than a single static snapshot.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "3b21d78b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x700 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "xz = sim_3bar_data[\"xz_field\"]\n",
    "\n",
    "Ex_da = xz.Ex.sel(f=freq0, method=\"nearest\").squeeze()\n",
    "\n",
    "if Ex_da.dims == (\"z\", \"x\"):\n",
    "    Ex_da = Ex_da.transpose(\"x\", \"z\")\n",
    "\n",
    "x = np.asarray(Ex_da.coords[\"x\"])\n",
    "z = np.asarray(Ex_da.coords[\"z\"])\n",
    "Ex_plot = np.real(np.asarray(Ex_da))\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10, 7))\n",
    "pcm = ax.pcolormesh(\n",
    "    x,\n",
    "    z,\n",
    "    Ex_plot.T,\n",
    "    shading=\"auto\",\n",
    "    cmap=\"RdBu_r\",\n",
    ")\n",
    "\n",
    "ax.set_xlabel(\"x (µm)\")\n",
    "ax.set_ylabel(\"z (µm)\")\n",
    "ax.set_title(r\"$E_x$ on the $xz$ plane near $f_0$\")\n",
    "ax.set_aspect(\"equal\")\n",
    "\n",
    "cbar = fig.colorbar(pcm, ax=ax)\n",
    "cbar.set_label(r\"$E_x$ (arb. units)\")\n",
    "\n",
    "fig.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "4f83c184",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "<link rel=\"stylesheet\"\n",
       "href=\"https://maxcdn.bootstrapcdn.com/font-awesome/4.4.0/css/font-awesome.min.css\">\n",
       "<script language=\"javascript\">\n",
       "  function isInternetExplorer() {\n",
       "    ua = navigator.userAgent;\n",
       "    /* MSIE used to detect old browsers and Trident used to newer ones*/\n",
       "    return ua.indexOf(\"MSIE \") > -1 || ua.indexOf(\"Trident/\") > -1;\n",
       "  }\n",
       "\n",
       "  /* Define the Animation class */\n",
       "  function Animation(frames, img_id, slider_id, interval, loop_select_id){\n",
       "    this.img_id = img_id;\n",
       "    this.slider_id = slider_id;\n",
       "    this.loop_select_id = loop_select_id;\n",
       "    this.interval = interval;\n",
       "    this.current_frame = 0;\n",
       "    this.direction = 0;\n",
       "    this.timer = null;\n",
       "    this.frames = new Array(frames.length);\n",
       "\n",
       "    for (var i=0; i<frames.length; i++)\n",
       "    {\n",
       "     this.frames[i] = new Image();\n",
       "     this.frames[i].src = frames[i];\n",
       "    }\n",
       "    var slider = document.getElementById(this.slider_id);\n",
       "    slider.max = this.frames.length - 1;\n",
       "    if (isInternetExplorer()) {\n",
       "        // switch from oninput to onchange because IE <= 11 does not conform\n",
       "        // with W3C specification. It ignores oninput and onchange behaves\n",
       "        // like oninput. In contrast, Microsoft Edge behaves correctly.\n",
       "        slider.setAttribute('onchange', slider.getAttribute('oninput'));\n",
       "        slider.setAttribute('oninput', null);\n",
       "    }\n",
       "    this.set_frame(this.current_frame);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.get_loop_state = function(){\n",
       "    var button_group = document[this.loop_select_id].state;\n",
       "    for (var i = 0; i < button_group.length; i++) {\n",
       "        var button = button_group[i];\n",
       "        if (button.checked) {\n",
       "            return button.value;\n",
       "        }\n",
       "    }\n",
       "    return undefined;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.set_frame = function(frame){\n",
       "    this.current_frame = frame;\n",
       "    document.getElementById(this.img_id).src =\n",
       "            this.frames[this.current_frame].src;\n",
       "    document.getElementById(this.slider_id).value = this.current_frame;\n",
       "  }\n",
       "\n",
       "  Animation.prototype.next_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.min(this.frames.length - 1, this.current_frame + 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.previous_frame = function()\n",
       "  {\n",
       "    this.set_frame(Math.max(0, this.current_frame - 1));\n",
       "  }\n",
       "\n",
       "  Animation.prototype.first_frame = function()\n",
       "  {\n",
       "    this.set_frame(0);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.last_frame = function()\n",
       "  {\n",
       "    this.set_frame(this.frames.length - 1);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.slower = function()\n",
       "  {\n",
       "    this.interval /= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.faster = function()\n",
       "  {\n",
       "    this.interval *= 0.7;\n",
       "    if(this.direction > 0){this.play_animation();}\n",
       "    else if(this.direction < 0){this.reverse_animation();}\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_forward = function()\n",
       "  {\n",
       "    this.current_frame += 1;\n",
       "    if(this.current_frame < this.frames.length){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.first_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.last_frame();\n",
       "        this.reverse_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.last_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.anim_step_reverse = function()\n",
       "  {\n",
       "    this.current_frame -= 1;\n",
       "    if(this.current_frame >= 0){\n",
       "      this.set_frame(this.current_frame);\n",
       "    }else{\n",
       "      var loop_state = this.get_loop_state();\n",
       "      if(loop_state == \"loop\"){\n",
       "        this.last_frame();\n",
       "      }else if(loop_state == \"reflect\"){\n",
       "        this.first_frame();\n",
       "        this.play_animation();\n",
       "      }else{\n",
       "        this.pause_animation();\n",
       "        this.first_frame();\n",
       "      }\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.pause_animation = function()\n",
       "  {\n",
       "    this.direction = 0;\n",
       "    if (this.timer){\n",
       "      clearInterval(this.timer);\n",
       "      this.timer = null;\n",
       "    }\n",
       "  }\n",
       "\n",
       "  Animation.prototype.play_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = 1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_forward();\n",
       "    }, this.interval);\n",
       "  }\n",
       "\n",
       "  Animation.prototype.reverse_animation = function()\n",
       "  {\n",
       "    this.pause_animation();\n",
       "    this.direction = -1;\n",
       "    var t = this;\n",
       "    if (!this.timer) this.timer = setInterval(function() {\n",
       "        t.anim_step_reverse();\n",
       "    }, this.interval);\n",
       "  }\n",
       "</script>\n",
       "\n",
       "<style>\n",
       ".animation {\n",
       "    display: inline-block;\n",
       "    text-align: center;\n",
       "}\n",
       "input[type=range].anim-slider {\n",
       "    width: 374px;\n",
       "    margin-left: auto;\n",
       "    margin-right: auto;\n",
       "}\n",
       ".anim-buttons {\n",
       "    margin: 8px 0px;\n",
       "}\n",
       ".anim-buttons button {\n",
       "    padding: 0;\n",
       "    width: 36px;\n",
       "}\n",
       ".anim-state label {\n",
       "    margin-right: 8px;\n",
       "}\n",
       ".anim-state input {\n",
       "    margin: 0;\n",
       "    vertical-align: middle;\n",
       "}\n",
       "</style>\n",
       "\n",
       "<div class=\"animation\">\n",
       "  <img id=\"_anim_imgccef86c3b9e143c5983f0c70de2c6098\">\n",
       "  <div class=\"anim-controls\">\n",
       "    <input id=\"_anim_sliderccef86c3b9e143c5983f0c70de2c6098\" type=\"range\" class=\"anim-slider\"\n",
       "           name=\"points\" min=\"0\" max=\"1\" step=\"1\" value=\"0\"\n",
       "           oninput=\"animccef86c3b9e143c5983f0c70de2c6098.set_frame(parseInt(this.value));\">\n",
       "    <div class=\"anim-buttons\">\n",
       "      <button title=\"Decrease speed\" aria-label=\"Decrease speed\" onclick=\"animccef86c3b9e143c5983f0c70de2c6098.slower()\">\n",
       "          <i class=\"fa fa-minus\"></i></button>\n",
       "      <button title=\"First frame\" aria-label=\"First frame\" onclick=\"animccef86c3b9e143c5983f0c70de2c6098.first_frame()\">\n",
       "        <i class=\"fa fa-fast-backward\"></i></button>\n",
       "      <button title=\"Previous frame\" aria-label=\"Previous frame\" onclick=\"animccef86c3b9e143c5983f0c70de2c6098.previous_frame()\">\n",
       "          <i class=\"fa fa-step-backward\"></i></button>\n",
       "      <button title=\"Play backwards\" aria-label=\"Play backwards\" onclick=\"animccef86c3b9e143c5983f0c70de2c6098.reverse_animation()\">\n",
       "          <i class=\"fa fa-play fa-flip-horizontal\"></i></button>\n",
       "      <button title=\"Pause\" aria-label=\"Pause\" onclick=\"animccef86c3b9e143c5983f0c70de2c6098.pause_animation()\">\n",
       "          <i class=\"fa fa-pause\"></i></button>\n",
       "      <button title=\"Play\" aria-label=\"Play\" onclick=\"animccef86c3b9e143c5983f0c70de2c6098.play_animation()\">\n",
       "          <i class=\"fa fa-play\"></i></button>\n",
       "      <button title=\"Next frame\" aria-label=\"Next frame\" onclick=\"animccef86c3b9e143c5983f0c70de2c6098.next_frame()\">\n",
       "          <i class=\"fa fa-step-forward\"></i></button>\n",
       "      <button title=\"Last frame\" aria-label=\"Last frame\" onclick=\"animccef86c3b9e143c5983f0c70de2c6098.last_frame()\">\n",
       "          <i class=\"fa fa-fast-forward\"></i></button>\n",
       "      <button title=\"Increase speed\" aria-label=\"Increase speed\" onclick=\"animccef86c3b9e143c5983f0c70de2c6098.faster()\">\n",
       "          <i class=\"fa fa-plus\"></i></button>\n",
       "    </div>\n",
       "    <form title=\"Repetition mode\" aria-label=\"Repetition mode\" action=\"#n\" name=\"_anim_loop_selectccef86c3b9e143c5983f0c70de2c6098\"\n",
       "          class=\"anim-state\">\n",
       "      <input type=\"radio\" name=\"state\" value=\"once\" id=\"_anim_radio1_ccef86c3b9e143c5983f0c70de2c6098\"\n",
       "             >\n",
       "      <label for=\"_anim_radio1_ccef86c3b9e143c5983f0c70de2c6098\">Once</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"loop\" id=\"_anim_radio2_ccef86c3b9e143c5983f0c70de2c6098\"\n",
       "             checked>\n",
       "      <label for=\"_anim_radio2_ccef86c3b9e143c5983f0c70de2c6098\">Loop</label>\n",
       "      <input type=\"radio\" name=\"state\" value=\"reflect\" id=\"_anim_radio3_ccef86c3b9e143c5983f0c70de2c6098\"\n",
       "             >\n",
       "      <label for=\"_anim_radio3_ccef86c3b9e143c5983f0c70de2c6098\">Reflect</label>\n",
       "    </form>\n",
       "  </div>\n",
       "</div>\n",
       "\n",
       "\n",
       "<script language=\"javascript\">\n",
       "  /* Instantiate the Animation class. */\n",
       "  /* The IDs given should match those used in the template above. */\n",
       "  (function() {\n",
       "    var img_id = \"_anim_imgccef86c3b9e143c5983f0c70de2c6098\";\n",
       "    var slider_id = \"_anim_sliderccef86c3b9e143c5983f0c70de2c6098\";\n",
       "    var loop_select_id = \"_anim_loop_selectccef86c3b9e143c5983f0c70de2c6098\";\n",
       "    var frames = new Array(40);\n",
       "    \n",
       "  frames[0] = \"data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAlgAAAGQCAYAAAByNR6YAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90\\\n",
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       "7zx84AMfWPQzu3btwne/+92e57/1rW/hm9/8Jg4dOoTPfOYzeOyxx/Czn/0MTz/99Cmt8Xvf+x6m\\\n",
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       "b//2bzh27Fjt+Xe/+9347Gc/ize84Q34zne+gy9/+cv4/ve/jzvuuOOU1vmP//iPuOKKK7Bu3bpT\\\n",
       "ug4hSyGa718lhBBC1pjLL78cv/u7v4u9e/cC8DlY27dvx2233TbS+/z85z/H+eefj4cffhi/+Zu/\\\n",
       "OdJrE9KEFSxCCCFj5XOf+xzWr1+/6vd58skn8eUvf5niiqwJrGARQgiZKFargkXIWkKBRQghhBAy\\\n",
       "YtgiJIQQQggZMRRYhBBCCCEjhgKLEEIIIWTEUGARQgghhIwYCixCCCGEkBFDgUUIIYQQMmIosAgh\\\n",
       "hBBCRgwFFiGEEELIiKHAIoQQQggZMRRYhBBCCCEjhgKLEEIIIWTEUGARQgghhIwYCixCCCGEkBFD\\\n",
       "gUUIIYQQMmL+Pyn28S9qKDWuAAAAAElFTkSuQmCC\\\n",
       "\"\n",
       "\n",
       "\n",
       "    /* set a timeout to make sure all the above elements are created before\n",
       "       the object is initialized. */\n",
       "    setTimeout(function() {\n",
       "        animccef86c3b9e143c5983f0c70de2c6098 = new Animation(frames, img_id, slider_id, 80.0,\n",
       "                                 loop_select_id);\n",
       "    }, 0);\n",
       "  })()\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "from matplotlib.animation import FuncAnimation\n",
    "from IPython.display import HTML\n",
    "\n",
    "Ex_vals = np.asarray(Ex_da)\n",
    "Ex_mag = np.abs(Ex_vals)\n",
    "Ex_arg = np.angle(Ex_vals)\n",
    "\n",
    "n_frames = 40\n",
    "phases = np.linspace(0, 2 * np.pi, n_frames, endpoint=False)\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(6, 4))\n",
    "\n",
    "Ex_frame = Ex_mag * np.cos(Ex_arg - phases[0])\n",
    "\n",
    "pcm = ax.pcolormesh(\n",
    "    x,\n",
    "    z,\n",
    "    Ex_frame.T,\n",
    "    shading=\"auto\",\n",
    "    cmap=\"RdBu_r\",\n",
    "    vmin=-np.max(Ex_mag),\n",
    "    vmax=np.max(Ex_mag),\n",
    ")\n",
    "\n",
    "ax.set_xlabel(\"x (µm)\")\n",
    "ax.set_ylabel(\"z (µm)\")\n",
    "ax.set_title(r\"$\\Re\\{E_x\\}$ on the $xz$ plane at $f_0$\")\n",
    "ax.set_aspect(\"equal\")\n",
    "\n",
    "cbar = fig.colorbar(pcm, ax=ax)\n",
    "cbar.set_label(r\"$\\Re\\{E_x\\}$ (arb. units)\")\n",
    "\n",
    "fig.tight_layout()\n",
    "\n",
    "\n",
    "def update(i):\n",
    "    Ex_frame = Ex_mag * np.cos(Ex_arg - phases[i])\n",
    "    pcm.set_array(Ex_frame.T.ravel())\n",
    "    return (pcm,)\n",
    "\n",
    "\n",
    "anim = FuncAnimation(\n",
    "    fig,\n",
    "    update,\n",
    "    frames=n_frames,\n",
    "    interval=80,\n",
    "    blit=True,\n",
    ")\n",
    "\n",
    "plt.close(fig)\n",
    "HTML(anim.to_jshtml())"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5f360aea",
   "metadata": {},
   "source": [
    "## 4. Guided-Mode Analysis of the Widest Bar\n",
    "\n",
    "The three-bar supercell demonstrates beam steering, but it does not yet explain how a high-\\(Q\\) resonance can be introduced. To build that part of the design, we next analyze the guided modes supported by one of the nanobars in the supercell using the [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) plugin.\n",
    "\n",
    "We focus on the widest bar in the selected triplet, since it typically supports the most strongly confined modes in this geometry. By solving for its guided modes, we can extract both the modal field profiles and the propagation constant \\(\\beta\\), which together tell us how light propagates along the bar.\n",
    "\n",
    "This information is essential because a guided mode cannot usually be excited directly from normal-incidence free-space illumination. To couple light into that mode, we must later add a weak periodic perturbation that supplies the missing momentum. The required perturbation period is set by the guided wavelength \\(\\lambda_g = 2\\pi/\\beta\\).\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "f383d387",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:15:38 -03 </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Use the remote mode solver with subpixel averaging for    </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">better accuracy through </span><span style=\"color: #008000; text-decoration-color: #008000\">'tidy3d.web.run(...)'</span><span style=\"color: #800000; text-decoration-color: #800000\"> or the deprecated    </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'tidy3d.plugins.mode.web.run(...)'</span><span style=\"color: #800000; text-decoration-color: #800000\">. Alternatively, you can install </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">the package </span><span style=\"color: #008000; text-decoration-color: #008000\">'tidy3d-extras'</span><span style=\"color: #800000; text-decoration-color: #800000\"> using </span><span style=\"color: #008000; text-decoration-color: #008000\">'pip install \"tidy3d\"'</span><span style=\"color: #800000; text-decoration-color: #800000\"> and set   </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'config.simulation.use_local_subpixel=True'</span><span style=\"color: #800000; text-decoration-color: #800000\">.                       </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:15:38 -03\u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING: Use the remote mode solver with subpixel averaging for    \u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[31mbetter accuracy through \u001b[0m\u001b[32m'tidy3d.web.run\u001b[0m\u001b[32m(\u001b[0m\u001b[32m...\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m\u001b[31m or the deprecated    \u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'tidy3d.plugins.mode.web.run\u001b[0m\u001b[32m(\u001b[0m\u001b[32m...\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m\u001b[31m. Alternatively, you can install \u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[31mthe package \u001b[0m\u001b[32m'tidy3d-extras'\u001b[0m\u001b[31m using \u001b[0m\u001b[32m'pip install \"tidy3d\u001b[0m\u001b[32m\"'\u001b[0m\u001b[31m and set \u001b[0m\u001b[31m  \u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'config.simulation.\u001b[0m\u001b[32muse_local_subpixel\u001b[0m\u001b[32m=\u001b[0m\u001b[32mTrue\u001b[0m\u001b[32m'\u001b[0m\u001b[31m.\u001b[0m\u001b[31m                       \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
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       "    .dataframe thead th {\n",
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       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th>wavelength</th>\n",
       "      <th>n eff</th>\n",
       "      <th>k eff</th>\n",
       "      <th>loss (dB/cm)</th>\n",
       "      <th>TE (Ex) fraction</th>\n",
       "      <th>wg TE fraction</th>\n",
       "      <th>wg TM fraction</th>\n",
       "      <th>mode area</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>f</th>\n",
       "      <th>mode_index</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th rowspan=\"4\" valign=\"top\">2.067534e+14</th>\n",
       "      <th>0</th>\n",
       "      <td>1.45</td>\n",
       "      <td>3.071280</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001525</td>\n",
       "      <td>0.901049</td>\n",
       "      <td>0.899968</td>\n",
       "      <td>0.222209</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.45</td>\n",
       "      <td>2.927399</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.990738</td>\n",
       "      <td>0.723665</td>\n",
       "      <td>0.948246</td>\n",
       "      <td>0.288919</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.45</td>\n",
       "      <td>2.546938</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.874179</td>\n",
       "      <td>0.794376</td>\n",
       "      <td>0.747433</td>\n",
       "      <td>0.332909</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.45</td>\n",
       "      <td>2.546307</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.015817</td>\n",
       "      <td>0.652361</td>\n",
       "      <td>0.917692</td>\n",
       "      <td>0.344248</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"4\" valign=\"top\">2.053373e+14</th>\n",
       "      <th>0</th>\n",
       "      <td>1.46</td>\n",
       "      <td>3.066298</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001576</td>\n",
       "      <td>0.899598</td>\n",
       "      <td>0.899149</td>\n",
       "      <td>0.223469</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.46</td>\n",
       "      <td>2.919543</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.990453</td>\n",
       "      <td>0.720415</td>\n",
       "      <td>0.947682</td>\n",
       "      <td>0.291697</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.46</td>\n",
       "      <td>2.533974</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.870152</td>\n",
       "      <td>0.793691</td>\n",
       "      <td>0.743615</td>\n",
       "      <td>0.337302</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.46</td>\n",
       "      <td>2.533062</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.016546</td>\n",
       "      <td>0.648753</td>\n",
       "      <td>0.917310</td>\n",
       "      <td>0.347876</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"4\" valign=\"top\">2.039404e+14</th>\n",
       "      <th>0</th>\n",
       "      <td>1.47</td>\n",
       "      <td>3.061292</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001629</td>\n",
       "      <td>0.898137</td>\n",
       "      <td>0.898331</td>\n",
       "      <td>0.224744</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.47</td>\n",
       "      <td>2.911622</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.990161</td>\n",
       "      <td>0.717166</td>\n",
       "      <td>0.947117</td>\n",
       "      <td>0.294510</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.47</td>\n",
       "      <td>2.520921</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.866047</td>\n",
       "      <td>0.793076</td>\n",
       "      <td>0.739751</td>\n",
       "      <td>0.341775</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.47</td>\n",
       "      <td>2.519713</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.017309</td>\n",
       "      <td>0.645194</td>\n",
       "      <td>0.916939</td>\n",
       "      <td>0.351542</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"4\" valign=\"top\">2.025625e+14</th>\n",
       "      <th>0</th>\n",
       "      <td>1.48</td>\n",
       "      <td>3.056260</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001683</td>\n",
       "      <td>0.896666</td>\n",
       "      <td>0.897516</td>\n",
       "      <td>0.226036</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.48</td>\n",
       "      <td>2.903638</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.989861</td>\n",
       "      <td>0.713920</td>\n",
       "      <td>0.946550</td>\n",
       "      <td>0.297358</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.48</td>\n",
       "      <td>2.507780</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.861866</td>\n",
       "      <td>0.792533</td>\n",
       "      <td>0.735842</td>\n",
       "      <td>0.346330</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.48</td>\n",
       "      <td>2.506262</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.018106</td>\n",
       "      <td>0.641688</td>\n",
       "      <td>0.916578</td>\n",
       "      <td>0.355246</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"4\" valign=\"top\">2.012030e+14</th>\n",
       "      <th>0</th>\n",
       "      <td>1.49</td>\n",
       "      <td>3.051204</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001739</td>\n",
       "      <td>0.895185</td>\n",
       "      <td>0.896703</td>\n",
       "      <td>0.227343</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.49</td>\n",
       "      <td>2.895588</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.989554</td>\n",
       "      <td>0.710677</td>\n",
       "      <td>0.945981</td>\n",
       "      <td>0.300240</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.49</td>\n",
       "      <td>2.494552</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.857610</td>\n",
       "      <td>0.792065</td>\n",
       "      <td>0.731887</td>\n",
       "      <td>0.350967</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.49</td>\n",
       "      <td>2.492708</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.018939</td>\n",
       "      <td>0.638240</td>\n",
       "      <td>0.916228</td>\n",
       "      <td>0.358987</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"4\" valign=\"top\">1.998616e+14</th>\n",
       "      <th>0</th>\n",
       "      <td>1.50</td>\n",
       "      <td>3.046122</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001796</td>\n",
       "      <td>0.893693</td>\n",
       "      <td>0.895892</td>\n",
       "      <td>0.228667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.50</td>\n",
       "      <td>2.887474</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.989240</td>\n",
       "      <td>0.707439</td>\n",
       "      <td>0.945411</td>\n",
       "      <td>0.303158</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.50</td>\n",
       "      <td>2.481237</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.853280</td>\n",
       "      <td>0.791670</td>\n",
       "      <td>0.727887</td>\n",
       "      <td>0.355686</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.50</td>\n",
       "      <td>2.479054</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.019810</td>\n",
       "      <td>0.634854</td>\n",
       "      <td>0.915890</td>\n",
       "      <td>0.362766</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"4\" valign=\"top\">1.985381e+14</th>\n",
       "      <th>0</th>\n",
       "      <td>1.51</td>\n",
       "      <td>3.041016</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001855</td>\n",
       "      <td>0.892192</td>\n",
       "      <td>0.895084</td>\n",
       "      <td>0.230008</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.51</td>\n",
       "      <td>2.879295</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.988917</td>\n",
       "      <td>0.704205</td>\n",
       "      <td>0.944839</td>\n",
       "      <td>0.306110</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.51</td>\n",
       "      <td>2.467837</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.848879</td>\n",
       "      <td>0.791352</td>\n",
       "      <td>0.723841</td>\n",
       "      <td>0.360487</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.51</td>\n",
       "      <td>2.465300</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.020719</td>\n",
       "      <td>0.631534</td>\n",
       "      <td>0.915562</td>\n",
       "      <td>0.366583</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"4\" valign=\"top\">1.972319e+14</th>\n",
       "      <th>0</th>\n",
       "      <td>1.52</td>\n",
       "      <td>3.035885</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001916</td>\n",
       "      <td>0.890681</td>\n",
       "      <td>0.894278</td>\n",
       "      <td>0.231365</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.52</td>\n",
       "      <td>2.871050</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.988586</td>\n",
       "      <td>0.700976</td>\n",
       "      <td>0.944265</td>\n",
       "      <td>0.309097</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.52</td>\n",
       "      <td>2.454351</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.844410</td>\n",
       "      <td>0.791111</td>\n",
       "      <td>0.719750</td>\n",
       "      <td>0.365372</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.52</td>\n",
       "      <td>2.451446</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.021670</td>\n",
       "      <td>0.628286</td>\n",
       "      <td>0.915246</td>\n",
       "      <td>0.370438</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"4\" valign=\"top\">1.959428e+14</th>\n",
       "      <th>0</th>\n",
       "      <td>1.53</td>\n",
       "      <td>3.030730</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.001978</td>\n",
       "      <td>0.889160</td>\n",
       "      <td>0.893475</td>\n",
       "      <td>0.232740</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.53</td>\n",
       "      <td>2.862739</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.988247</td>\n",
       "      <td>0.697754</td>\n",
       "      <td>0.943690</td>\n",
       "      <td>0.312118</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.53</td>\n",
       "      <td>2.440782</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.839874</td>\n",
       "      <td>0.790947</td>\n",
       "      <td>0.715614</td>\n",
       "      <td>0.370339</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.53</td>\n",
       "      <td>2.437493</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.022662</td>\n",
       "      <td>0.625113</td>\n",
       "      <td>0.914941</td>\n",
       "      <td>0.374332</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"4\" valign=\"top\">1.946704e+14</th>\n",
       "      <th>0</th>\n",
       "      <td>1.54</td>\n",
       "      <td>3.025549</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.002042</td>\n",
       "      <td>0.887629</td>\n",
       "      <td>0.892675</td>\n",
       "      <td>0.234132</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.54</td>\n",
       "      <td>2.854362</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.987900</td>\n",
       "      <td>0.694540</td>\n",
       "      <td>0.943113</td>\n",
       "      <td>0.315174</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.54</td>\n",
       "      <td>2.427129</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.835274</td>\n",
       "      <td>0.790862</td>\n",
       "      <td>0.711433</td>\n",
       "      <td>0.375391</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.54</td>\n",
       "      <td>2.423444</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.023699</td>\n",
       "      <td>0.622021</td>\n",
       "      <td>0.914649</td>\n",
       "      <td>0.378265</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"4\" valign=\"top\">1.934145e+14</th>\n",
       "      <th>0</th>\n",
       "      <td>1.55</td>\n",
       "      <td>3.020344</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.002108</td>\n",
       "      <td>0.886089</td>\n",
       "      <td>0.891877</td>\n",
       "      <td>0.235541</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>1.55</td>\n",
       "      <td>2.845919</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.987544</td>\n",
       "      <td>0.691333</td>\n",
       "      <td>0.942535</td>\n",
       "      <td>0.318264</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1.55</td>\n",
       "      <td>2.413395</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.830614</td>\n",
       "      <td>0.790856</td>\n",
       "      <td>0.707208</td>\n",
       "      <td>0.380525</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1.55</td>\n",
       "      <td>2.409299</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.024781</td>\n",
       "      <td>0.619016</td>\n",
       "      <td>0.914368</td>\n",
       "      <td>0.382238</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                         wavelength     n eff  k eff  loss (dB/cm)  \\\n",
       "f            mode_index                                              \n",
       "2.067534e+14 0                 1.45  3.071280    0.0           0.0   \n",
       "             1                 1.45  2.927399    0.0           0.0   \n",
       "             2                 1.45  2.546938    0.0           0.0   \n",
       "             3                 1.45  2.546307    0.0           0.0   \n",
       "2.053373e+14 0                 1.46  3.066298    0.0           0.0   \n",
       "             1                 1.46  2.919543    0.0           0.0   \n",
       "             2                 1.46  2.533974    0.0           0.0   \n",
       "             3                 1.46  2.533062    0.0           0.0   \n",
       "2.039404e+14 0                 1.47  3.061292    0.0           0.0   \n",
       "             1                 1.47  2.911622    0.0           0.0   \n",
       "             2                 1.47  2.520921    0.0           0.0   \n",
       "             3                 1.47  2.519713    0.0           0.0   \n",
       "2.025625e+14 0                 1.48  3.056260    0.0           0.0   \n",
       "             1                 1.48  2.903638    0.0           0.0   \n",
       "             2                 1.48  2.507780    0.0           0.0   \n",
       "             3                 1.48  2.506262    0.0           0.0   \n",
       "2.012030e+14 0                 1.49  3.051204    0.0           0.0   \n",
       "             1                 1.49  2.895588    0.0           0.0   \n",
       "             2                 1.49  2.494552    0.0           0.0   \n",
       "             3                 1.49  2.492708    0.0           0.0   \n",
       "1.998616e+14 0                 1.50  3.046122    0.0           0.0   \n",
       "             1                 1.50  2.887474    0.0           0.0   \n",
       "             2                 1.50  2.481237    0.0           0.0   \n",
       "             3                 1.50  2.479054    0.0           0.0   \n",
       "1.985381e+14 0                 1.51  3.041016    0.0           0.0   \n",
       "             1                 1.51  2.879295    0.0           0.0   \n",
       "             2                 1.51  2.467837    0.0           0.0   \n",
       "             3                 1.51  2.465300    0.0           0.0   \n",
       "1.972319e+14 0                 1.52  3.035885    0.0           0.0   \n",
       "             1                 1.52  2.871050    0.0           0.0   \n",
       "             2                 1.52  2.454351    0.0           0.0   \n",
       "             3                 1.52  2.451446    0.0           0.0   \n",
       "1.959428e+14 0                 1.53  3.030730    0.0           0.0   \n",
       "             1                 1.53  2.862739    0.0           0.0   \n",
       "             2                 1.53  2.440782    0.0           0.0   \n",
       "             3                 1.53  2.437493    0.0           0.0   \n",
       "1.946704e+14 0                 1.54  3.025549    0.0           0.0   \n",
       "             1                 1.54  2.854362    0.0           0.0   \n",
       "             2                 1.54  2.427129    0.0           0.0   \n",
       "             3                 1.54  2.423444    0.0           0.0   \n",
       "1.934145e+14 0                 1.55  3.020344    0.0           0.0   \n",
       "             1                 1.55  2.845919    0.0           0.0   \n",
       "             2                 1.55  2.413395    0.0           0.0   \n",
       "             3                 1.55  2.409299    0.0           0.0   \n",
       "\n",
       "                         TE (Ex) fraction  wg TE fraction  wg TM fraction  \\\n",
       "f            mode_index                                                     \n",
       "2.067534e+14 0                   0.001525        0.901049        0.899968   \n",
       "             1                   0.990738        0.723665        0.948246   \n",
       "             2                   0.874179        0.794376        0.747433   \n",
       "             3                   0.015817        0.652361        0.917692   \n",
       "2.053373e+14 0                   0.001576        0.899598        0.899149   \n",
       "             1                   0.990453        0.720415        0.947682   \n",
       "             2                   0.870152        0.793691        0.743615   \n",
       "             3                   0.016546        0.648753        0.917310   \n",
       "2.039404e+14 0                   0.001629        0.898137        0.898331   \n",
       "             1                   0.990161        0.717166        0.947117   \n",
       "             2                   0.866047        0.793076        0.739751   \n",
       "             3                   0.017309        0.645194        0.916939   \n",
       "2.025625e+14 0                   0.001683        0.896666        0.897516   \n",
       "             1                   0.989861        0.713920        0.946550   \n",
       "             2                   0.861866        0.792533        0.735842   \n",
       "             3                   0.018106        0.641688        0.916578   \n",
       "2.012030e+14 0                   0.001739        0.895185        0.896703   \n",
       "             1                   0.989554        0.710677        0.945981   \n",
       "             2                   0.857610        0.792065        0.731887   \n",
       "             3                   0.018939        0.638240        0.916228   \n",
       "1.998616e+14 0                   0.001796        0.893693        0.895892   \n",
       "             1                   0.989240        0.707439        0.945411   \n",
       "             2                   0.853280        0.791670        0.727887   \n",
       "             3                   0.019810        0.634854        0.915890   \n",
       "1.985381e+14 0                   0.001855        0.892192        0.895084   \n",
       "             1                   0.988917        0.704205        0.944839   \n",
       "             2                   0.848879        0.791352        0.723841   \n",
       "             3                   0.020719        0.631534        0.915562   \n",
       "1.972319e+14 0                   0.001916        0.890681        0.894278   \n",
       "             1                   0.988586        0.700976        0.944265   \n",
       "             2                   0.844410        0.791111        0.719750   \n",
       "             3                   0.021670        0.628286        0.915246   \n",
       "1.959428e+14 0                   0.001978        0.889160        0.893475   \n",
       "             1                   0.988247        0.697754        0.943690   \n",
       "             2                   0.839874        0.790947        0.715614   \n",
       "             3                   0.022662        0.625113        0.914941   \n",
       "1.946704e+14 0                   0.002042        0.887629        0.892675   \n",
       "             1                   0.987900        0.694540        0.943113   \n",
       "             2                   0.835274        0.790862        0.711433   \n",
       "             3                   0.023699        0.622021        0.914649   \n",
       "1.934145e+14 0                   0.002108        0.886089        0.891877   \n",
       "             1                   0.987544        0.691333        0.942535   \n",
       "             2                   0.830614        0.790856        0.707208   \n",
       "             3                   0.024781        0.619016        0.914368   \n",
       "\n",
       "                         mode area  \n",
       "f            mode_index             \n",
       "2.067534e+14 0            0.222209  \n",
       "             1            0.288919  \n",
       "             2            0.332909  \n",
       "             3            0.344248  \n",
       "2.053373e+14 0            0.223469  \n",
       "             1            0.291697  \n",
       "             2            0.337302  \n",
       "             3            0.347876  \n",
       "2.039404e+14 0            0.224744  \n",
       "             1            0.294510  \n",
       "             2            0.341775  \n",
       "             3            0.351542  \n",
       "2.025625e+14 0            0.226036  \n",
       "             1            0.297358  \n",
       "             2            0.346330  \n",
       "             3            0.355246  \n",
       "2.012030e+14 0            0.227343  \n",
       "             1            0.300240  \n",
       "             2            0.350967  \n",
       "             3            0.358987  \n",
       "1.998616e+14 0            0.228667  \n",
       "             1            0.303158  \n",
       "             2            0.355686  \n",
       "             3            0.362766  \n",
       "1.985381e+14 0            0.230008  \n",
       "             1            0.306110  \n",
       "             2            0.360487  \n",
       "             3            0.366583  \n",
       "1.972319e+14 0            0.231365  \n",
       "             1            0.309097  \n",
       "             2            0.365372  \n",
       "             3            0.370438  \n",
       "1.959428e+14 0            0.232740  \n",
       "             1            0.312118  \n",
       "             2            0.370339  \n",
       "             3            0.374332  \n",
       "1.946704e+14 0            0.234132  \n",
       "             1            0.315174  \n",
       "             2            0.375391  \n",
       "             3            0.378265  \n",
       "1.934145e+14 0            0.235541  \n",
       "             1            0.318264  \n",
       "             2            0.380525  \n",
       "             3            0.382238  "
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "lams_mode = np.arange(1.45, 1.55 + 1e-9, 0.01)\n",
    "freqs_mode = td.C_0 / lams_mode\n",
    "\n",
    "w1, w2, w3 = best[\"w\"]\n",
    "\n",
    "Lx_mode = 6 * w3\n",
    "Lz_mode = sub_t + h_bar + 2 * pml_t\n",
    "\n",
    "wg_core = td.Structure(\n",
    "    geometry=td.Box(center=(0, 0, h_bar / 2), size=(w3, td.inf, h_bar)),\n",
    "    medium=si,\n",
    "    name=\"wg_core\",\n",
    ")\n",
    "\n",
    "wg_substrate = td.Structure(\n",
    "    geometry=td.Box(\n",
    "        center=(0, 0, -sub_t / 2),\n",
    "        size=(td.inf, td.inf, sub_t),\n",
    "    ),\n",
    "    medium=sapphire,\n",
    "    name=\"wg_substrate\",\n",
    ")\n",
    "\n",
    "sim_mode = td.Simulation(\n",
    "    center=(0, 0, 0),\n",
    "    size=(Lx_mode, 0, Lz_mode),\n",
    "    grid_spec=td.GridSpec.uniform(dl=0.02),\n",
    "    structures=[wg_core, wg_substrate],\n",
    "    sources=[],\n",
    "    monitors=[],\n",
    "    run_time=1e-12,\n",
    "    boundary_spec=td.BoundarySpec(\n",
    "        x=td.Boundary.pml(),\n",
    "        y=td.Boundary.periodic(),\n",
    "        z=td.Boundary.pml(),\n",
    "    ),\n",
    "    symmetry=(0, 0, 0),\n",
    "    medium=air,\n",
    ")\n",
    "\n",
    "mode_spec = td.ModeSpec(\n",
    "    num_modes=4,\n",
    "    target_neff=2.7,\n",
    ")\n",
    "\n",
    "plane = td.Box(\n",
    "    center=(0, 0, 0),\n",
    "    size=(Lx_mode, 0, Lz_mode),\n",
    ")\n",
    "\n",
    "mode_solver = ModeSolver(\n",
    "    simulation=sim_mode,\n",
    "    plane=plane,\n",
    "    mode_spec=mode_spec,\n",
    "    freqs=freqs_mode,\n",
    ")\n",
    "\n",
    "mode_data = mode_solver.solve()\n",
    "mode_data.to_dataframe()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "78657e6b",
   "metadata": {},
   "source": [
    "We begin by plotting the first few modal field profiles at a representative wavelength near \\(1.5\\) µm. These mode shapes help us identify the character of the supported guided modes and distinguish the dominant fundamental-like solutions from higher-order ones.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "b4226bed",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x2400 with 16 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lam_plot = 1.50\n",
    "f0_ind = np.argmin(np.abs(lams_mode - lam_plot))\n",
    "num_modes_plot = 4\n",
    "\n",
    "fig, axes = plt.subplots(\n",
    "    num_modes_plot,\n",
    "    2,\n",
    "    figsize=(10, 6 * num_modes_plot),\n",
    "    tight_layout=True,\n",
    ")\n",
    "\n",
    "for m in range(num_modes_plot):\n",
    "    abs(mode_data.Ex.isel(mode_index=m, f=f0_ind)).plot(\n",
    "        x=\"x\",\n",
    "        y=\"z\",\n",
    "        ax=axes[m, 0],\n",
    "        cmap=\"magma\",\n",
    "        add_colorbar=True,\n",
    "    )\n",
    "    abs(mode_data.Ez.isel(mode_index=m, f=f0_ind)).plot(\n",
    "        x=\"x\",\n",
    "        y=\"z\",\n",
    "        ax=axes[m, 1],\n",
    "        cmap=\"magma\",\n",
    "        add_colorbar=True,\n",
    "    )\n",
    "\n",
    "    axes[m, 0].set_title(f\"Mode {m}: |Ex| at λ = {lams_mode[f0_ind]:.2f} µm\")\n",
    "    axes[m, 0].set_aspect(\"equal\")\n",
    "\n",
    "    axes[m, 1].set_title(f\"Mode {m}: |Ez| at λ = {lams_mode[f0_ind]:.2f} µm\")\n",
    "    axes[m, 1].set_aspect(\"equal\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "852d7adf",
   "metadata": {},
   "source": [
    "After identifying the guided modes, we examine their dispersion through the propagation constant \\(\\beta\\). Here we focus on modes 0 and 1, which correspond most closely to the fundamental TE-like and TM-like guided modes of the bar. These are the most relevant modes for the perturbative high-\\(Q\\) design that follows.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "c78b5c17",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n_eff_da = np.real(mode_data.n_eff)\n",
    "f_mode = np.asarray(n_eff_da.coords[\"f\"])\n",
    "n_eff = np.asarray(n_eff_da)\n",
    "\n",
    "lam_mode = td.C_0 / f_mode\n",
    "beta = (2 * np.pi * f_mode[:, None] / td.C_0) * n_eff\n",
    "\n",
    "modes_to_plot = [0, 1]\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(6, 4))\n",
    "\n",
    "for m in modes_to_plot:\n",
    "    ax.plot(lam_mode, beta[:, m], label=f\"Mode {m}\")\n",
    "\n",
    "ax.set_xlabel(\"Wavelength (µm)\")\n",
    "ax.set_ylabel(r\"$\\beta$ (rad/µm)\")\n",
    "ax.set_title(r\"Propagation constant $\\beta$ vs wavelength\")\n",
    "ax.legend()\n",
    "ax.grid(True, alpha=0.3)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6546ea38",
   "metadata": {},
   "source": [
    "From the propagation constant, we can compute the guided wavelength \\(\\lambda_g = 2\\pi/\\beta\\). This quantity sets the spatial scale of the longitudinal perturbation needed to phase-match the incident plane wave into the guided mode. In the next section, we use this result to choose the perturbation period for the resonant metasurface design.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "99ffea86",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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V734HDx5Eq9UaYgd1FMnDw8NoAv26deto1aqVyfeLi4ujTZs2JufN/SMlv6dg73a/917uef7zn//wn//8h6SkJNq2bcv7779frMTpboX5TJuzn52dHZs2bTJqu/P2qrnXdPz4caPRsRMnTqDX643+Lcz5rLu7u+Ps7JzvH6GF7YOCmPuZEOaRxEkU2SuvvMLy5csZPXo0ERERJk/H3D0y0KRJE1JSUjhw4IDhr6NLly6xatWq+34vGxsb+vTpw+rVqzl37pzhNs6RI0f4888/jfb7v//7P5YvX87BgwdNhr+Tk5MNIwLmnO9+unTpwty5czl58qThaZVatWrRsmVLw9NfuQnVnTHe3TcLFizId+QtNDSUGjVqsHLlSo4cOUJISIjRD2tzrzc/xTm2oPOFhoayevVqLl68aBhJOXHiBP/73/9M9s+tz2PJyuF//vkna9euZcWKFYbzV69enfr165s8RTRlyhROnDjByZMnuXnzJh07dizwCdHcOU7mKGiOk06nY+jQoezatYs1a9bQsWPHAs9x8OBBvL29DU9dgTon6u6n79avX89DDz1kcnxcXBxVqlQhMzPTUEQ2KyuLhQsXGt1uu5d7vfd0Oh03btzAxcXFsL+HhwdeXl5kZmbe99yFUZjPtDn7FXTbtbDXtHDhQnr37m14vWDBAgCjBMucz7pWq2Xw4MF8//33REZGmsxzUhSlWJ/VwnwmhHkkcRJF5uPjw/Lly3niiSdo3ry5oXK4oiicPn2a5cuXo9VqqVevHgCPP/44r776Kg8//DATJ07k5s2bLFq0iGbNmt13YiPAtGnT2LBhA126dOE///kPOTk5LFiwAF9fX6OlXf773/+ydetW2rdvz7hx42jVqhVXr14lOjqazZs3G265mHu+e+nSpQvvv/8+58+fN0qQunbtypIlS2jUqJHh+nM99NBDfPfdd7i4uNCqVSt27drF5s2bqVmzpsn57ezseOSRR1ixYgXp6el89NFHJvuYe735Kc6x+Xn33XfZuHEjnTt35vnnn0en0/Hpp5/SunVrk/XIgoKCAHjjjTd4/PHHsbOzY8CAAYX6fnfKzs5m0qRJ9OjRw2RkpFWrVka/JC5evMjSpUuJj4+nZs2a1KxZk/bt2xc4z8QSc5xeeukl1q5dy4ABA7h69apJwcs75wMePHjQJElKSEigSpUqXL9+HVdXV06fPs2RI0dYtGiR0X4pKSmcP38egG7dujFy5Ehu3brFDz/8wOHDh/Otz5Sfe7330tLSqFevHo8++ij+/v5Uq1aNzZs3s2/fPqPRFUsx931anPdzYa/p9OnTDBw4kL59+7Jr1y6+//57nnzySfz9/Q37mPtZnzlzJhs3bqRbt24888wztGzZkkuXLvHzzz+zY8cOXF1di3RthflMiEKw4hN8ooI6ceKE8vzzzytNmzZVHB0dFScnJ6VFixbKc889p8TGxhrtu3HjRqV169aKvb290rx5c+X77783uxyBoijKX3/9pQQFBSn29vZK48aNlcWLF+d7fGJiojJ+/Hilfv36ip2dnVK7dm2lZ8+eyueff16k8xUkNTVVsbGxUapXr2706Pb333+vAMrw4cNNjrl27ZoyatQopVatWkq1atWUPn36KEePHlUaNmyojBw50mT/TZs2KYCi0WiU8+fP5xuHOddbUJ+ac2xunyQnJxsdm985IyIilMDAQMXe3l5p0qSJ8uWXXyovvfSS4ujoaBL3jBkzlLp16ypardZwnsJ8rzvNnTtXsbW1VQ4ePGiyLTw8XNFoNEpaWpqiKIry7bffKl27djXap3v37spPP/2U77ktoVu3bvcsY5Art5TA66+/bnT8mDFjFAcHB+WRRx5RFEVRPv30U8XFxUXJzs422m/Hjh0KoIwdO9bwb9qgQQPlscceM3pU3hwFvfcyMzOVKVOmKP7+/kr16tWVqlWrKv7+/spnn31233PerxzB3f/uucz9TJu7393MvabcOA8fPqw8+uijSvXq1RU3NzdlwoQJyq1bt4z2Lcxn/ezZs8qIESMUd3d3xcHBQWncuLEyfvx4JTMzs8jXVpjPhDCfRlFKeZlsIUSFN3jwYA4dOpTvnLLSMH/+fHbt2sXKlSsBuHz5Mg0bNiQyMtJoXlFZ1r9/f0OhyjstXryY559/npSUlPs+fSgK791332XatGkkJycbCreKykXqOAkhLOrWrVtGr48fP8769esNS2uUBc2bN+fvv//mwoULJCcnM3r0aHQ6Xb7lKcqq7t27M3nyZJP2gwcPUrduXUmahCghMsdJCGFRjRs35umnn6Zx48acPXuWRYsWYW9vzyuvvFLaoRn07duXfv360aJFCxo1asRTTz3FpUuXDIvglgcF9WdcXFyBT+sJIYpPRpyEEBbVt29ffvzxR1544QUWLFhAu3bt+Pvvv8vUaI5Go2Hp0qWkpaURFxdHcnKy2RXjy7qDBw9K4iRECZI5TkKISmfnzp00bNgQT09PVq1axYQJE4iNjTWrvpEQonIrP+PSQghhIVFRUYSFhaHX6/H39+ePP/6QpEkIYRYZcRJCCCGEMJPMcRJCCCGEMJMkTkIIIYQQZpI5TmbS6/VcvHiR6tWrl9jipEIIIYSwPkVRSEtLw8vLC6323mNKkjiZ6eLFi9SvX7+0wxBCCCFECTl//rzJ+qJ3k8TJTNWrVwfUTpWKvCq9Xm9Ylft+GbooPulv65L+th7pa+uS/jaVmppK/fr1Db/r70USJzPl3p5zdnaWxOk2vV5PRkYGzs7O8uGzAulv65L+th7pa+uS/i6YOVNxpMeEEEIIIcwkiZMQQgghhJnkVp2F6XQ6srOzSzsMq9Dr9WRnZ5ORkVHmhnvt7e3LXExCCCHKP0mcLERRFBISErh+/Xpph2I1iqKg1+tJS0srcyUatFot3t7e2Nvbl3YoQgghKhBJnCwkN2ny8PCgSpUqZS6RKAmKopCTk4OtrW2Zut7cmluXLl2iQYMGZSo2IYQQ5ZskThag0+kMSVPNmjVLOxyrKauJE4C7uzsXL14kJycHOzu70g5HCCFEceh1cGYnpCVA9drQqBNobUolFEmcLCB3TlOVKlVKORKRK/cWnU6nk8RJCCHKs0NrYd0rkHoxr83ZC8I+BN+BVg9HZs9aUFkbdanM5N9CCCEqgENr4cfhxkkTQOoltf3QWquHJImTEEIIIcoevU4daULJZ+PttvWvqvtZkSROosRt27YNjUZTqZ44FEIIUUxndpqONBlRIOWCup8VSeJUxuj0Ov6Jj2LVvo38Ex+FroQz6aeffhqNRsNzzz1nsm38+PFoNBqefvrpEo3BXNu2baNt27Y4ODjQtGlTli1bVtohCSGEKCkp/5q3X1pCycZxF5kcXoasi9nKmyvncel6kqGtjqsH7w2dTFhgjxL7vvXr12fFihXMmzcPJycnADIyMli+fDkNGjQose9bGKdPnyYsLIznnnuOH374gYiICMaOHUudOnXo06dPaYcnhBDCUlIuwN6vYM/n5u1fvXbJxnMXGXEqI9bFbGXskqlGSRNAwvUkxi6ZyrqYrSX2vdu2bUv9+vX57bffDG2//fYbDRo0IDAw0GjfzMxMJk6ciIeHB05OTnTv3p19+/YZ7bN+/XqaNWuGk5MTPXr04MyZMybfc8eOHXTp0gUnJyfq16/PxIkTSU9PLzDGxYsX4+3tzZw5c2jZsiUTJkzg0UcfZd68ecW7eCGEEKVPUeDUdnXC95zW8NdHkJEKmnulKRpwqauWJrAiSZxKiKIopGfeMusr9dYN3lg5917T33hz5VxSb90w63yKkt+Z7m306NF8/fXXhtdLly5l1KhRJvu98sor/Prrr3zzzTdERUXRpEkT+vbty9WrVwE4f/48jzzyCAMGDCA2NpaxY8fy2muvGZ3j5MmT9O3bl//7v//jwIEDrFy5kh07djBhwoQC49u1axehoaFGbX369GHXrl2FvlYhhBBlROYN2LsUPu0IS8Pg0Bp1srd3F3jiOxjyNaC5/XWn26/7f2D1ek5yq66E3MzKoMmLlrm9pgCXrifTbHLoffcFOPnxVqo6OBXqezz11FNMnTqVs2fPAvDPP/+wYsUKtm3bZtgnPT2dRYsWsWzZMvr164eiKCxevBgfHx+++uorpkyZwqJFi2jSpAlz5swBoHnz5sTFxfHBBx8YzjNr1iyGDRvGpEmTAPDx8eGTTz6hW7duLFq0CEdHR5P4EhIS8PT0NGrz9PQkNTWVW7duGW4xCiGEKAcun4C9X0L0D5CRorbZVYHAJ6D9OPBslbev1sa0jpOLl5o0lUIdJ0mcBKBW2g4LC2PZsmUoikJYWBi1atUy2ufkyZNkZ2fTuXNnQ5udnR0hISEcOXIEgCNHjtC+fXuj4zp27Gj0ev/+/Rw4cIAffvjB0Ja77t3p06dp2bKlpS9PCCFEadPr4fhG2P05HN+c116ziZosBT4JTq6mx/kOhJZhUjm8oqti78jJj82bl7T7eCzDPp183/1+mDCPDj4BZn3vohg9erThdtnChQuLdA5z3Lhxg2effZaJEyeabCtoMnrt2rVJTEw0aktMTMTZ2VlGm4QQoiy7dQ2ivoc9X8C1M2qbRgPNekOHZ6HJg6C9z8whrQ007lLioZpDEqcSotFozL5d1r1VCHVcPUi4npTvPCcNUMfNk+6tQrApwQy7b9++ZGVlodFo8n1SrUmTJtjb2/PPP//QsGFDQF1uZt++fYbbbi1btmTtWuNKrrt37zZ63bZtWw4fPkzTpk3Njq1jx46sX7/eqG3Tpk0mo1lCCCHKiEtxarK0fyVk31LbHF0haDiEjIGajUs1vKKSyeFlgI3WhveGqiNOBUx/Y8aQSSWaNAHY2Nhw5MgRDh8+jI2N6feqWrUqzz//PFOmTGHDhg0cPnyY5557jps3bzJmzBgAnnvuOY4fP86UKVOIj49n+fLlJvWWXn31VXbu3MmECROIjY3l+PHjrFmz5p6Tw5977jlOnTrFK6+8wtGjR/nss8/46aefmDz5/iN1QgghrESXDXG/wRd9YWFniFymJk21W8PgBfDKUej3frlNmkBGnMqMsMAefPnsLNM6Tm6ezBgyqUTrON3J2dn5ntv/+9//otfrGT58OGlpaQQFBbFhwwbc3NwA9Vbbr7/+yuTJk1mwYAEhISHMnDmT0aNHG87h5+fHX3/9xRtvvEGXLl1QFIUmTZowdOjQAr+vt7c369atY/LkyXz88cfUq1ePL7/8Umo4CSFEWZCWCPu+hn1L8wpSam3V+Untn4WGHdTbcxWARinKs+uVUGpqKi4uLqSkpJgkFxkZGZw+fRpvb+98nwgrDJ1ex+7jsSSlXsHDuSYdfAJKfKSpqBRFIScnB1tb2zK3qK4l/03KCr1eT1JSEh4eHmjvNx9AFJv0t/VIX1uXxfpbUeD8Xti9RC0joMtW26t5QrtR6pdzHcsEXcLu9Tv+bjLiVMbYaG3o3DyotMMQQggh8pd9Cw78os5fuhib196gPbR/BnwHga19qYVX0iRxEkIIIcT9XTurLoUS+Y36pByArSP4PQYdxoFXQKmGZy1ldkx04cKFNGrUCEdHR9q3b8/evXsL3HfZsmVoNBqjr3vdnnnuuefQaDTMnz+/BCIXQgghKghFgRNb4PvHYa4fbJ+vJk2uDaHPDHjlCDyysNIkTVBGR5xWrlxJeHg4ixcvpn379syfP58+ffoQHx+Ph4dHvsc4OzsTHx9veF3QnJtVq1axe/duvLy8SiR2IYQQotzLSIWY5ertuMvH89qbPqjWXmrWu9QKUJa2Mpk4zZ07l3HjxhnWSlu8eDHr1q1j6dKlJuue5dJoNNSufe8Vki9cuMALL7zAn3/+SVhYmMXjFkIIIco0vQ5O78DxwnFI9wHvB4wToKSjsOdziFkBWTfUNofq0HYYhIwDd5/SibsMKXOJU1ZWFlFRUUydOtXQptVqCQ0NveeCrjdu3KBhw4bo9Xratm3LzJkz8fX1NWzPfYR+ypQpRu1CCCFEpXBoLax7BW3qRVxz25y9oN8ssLFTn4479Vfe/u7NocMzEPC4mjwJoAwmTpcvX0an0+W7oOvRo0fzPaZ58+YsXboUPz8/UlJS+Oijj+jUqROHDh2iXr16AHzwwQfY2trmu8xHfjIzM8nMzDS8Tk1NBdQETK/XG+2r1+tRFMXwVZnkXm9Zu+7cf4v8/r3Kq9z3WUW5nrJO+tt6pK+t4PBaNCtGAopRoWUl9SKsHGloUzRaaNEfpf048O6aV3upgv/bFOa9V+YSp6Lo2LGj0dIbnTp1omXLlixZsoQZM2YQFRXFxx9/THR0tNn1hmbNmsW0adNM2pOTk8nIyDBqy87ORq/Xk5OTQ05OTvEuphxRFAWdTgcUPKestOTk5KDX67ly5Qp2dnalHY5F6PV6UlJSUBRFat1YgfS39UhflzC9Dvc/XkFzV9IEeatTKGhIbzuWm22Goa9+ew5wcrI1oyxVaWlpZu9b5hKnWrVqYWNjk++Crvebw5TLzs6OwMBATpw4AcD27dtJSkoyWkBWp9Px0ksvMX/+fM6cOWNyjqlTpxIeHm54nZqaSv369XF3d8+3AGZaWhq2trbY2pa5Li1xZTExsbW1RavVUrNmzQpVAFOj0eDu7i6/XKxA+tt6pK9L2OntaG8k3HMXDQpV/AdSxTvAOjGVMYX5PVHmfsvb29sTFBREREQEgwcPBtQPVURExD3XMruTTqcjLi6O/v37AzB8+HBCQ0ON9unTpw/Dhw83TEC/m4ODAw4ODibtWq3W5IOt1WqNSiFUFoqiGK73Xte9bds2evTowbVr13B1dbVKbLn/Fvn9e5VnFfGayjLpb+uRvi4h187Czs/M2lV7Iwkqaf8X5n1XJnsoPDycL774gm+++YYjR47w/PPPk56ebkhyRowYYTR5fPr06WzcuJFTp04RHR3NU089xdmzZxk7diwANWvWpHXr1kZfdnZ21K5dm+bNm5fKNRZIr4NT22H/z+p/9boS/XZPP/00Go2G5557zmTb+PHj0Wg0PP300yUagzkuXbrEk08+SbNmzdBqtUyaNKm0QxJCiLJJr4fjEbdrL/lD/P/MO666eXd1KrsyN+IEMHToUJKTk3n77bdJSEggICCADRs2GCaMnzt3zig7vHbtGuPGjSMhIQE3NzeCgoLYuXMnrVq1Kq1LKJrbTzyQejGvzdkLwj5UF0osIfXr12fFihXMmzcPJycnQL39uHz5cqPbm6UpMzMTd3d33nzzTebNm1fa4QghRNlz63pe7aUrJ/PaG3eHhANw8xqQ34M8GnDxgkadrBNnOVcmR5wAJkyYwNmzZ8nMzGTPnj20b9/esG3btm0sW7bM8HrevHmGfRMSEli3bh2BgYH3PP+ZM2fK1qjFobXw43DjpAkg9ZLafmhtiX3rtm3bUr9+fX777TdD22+//UaDBg1M+jEzM5OJEyfi4eGBk5MT3bt3Z9++fUb7rF+/nmbNmuHk5ESPHj3ynUO2Y8cOunTpgpOTE/Xr12fixImkp6cXGGOjRo34+OOPGTFiBC4uLsW7YCGEqEgSDsLqF+HDFrD+NTVpcnCGjs/Bi1Ewei0M+uT2zgVMD+//QaUtaFlYZTZxKvcUBbLSzfvKSIV1U8j/L4HbbeteUfcz53xFKA0wevRovv76a8PrpUuX5jv/65VXXuHXX3/lm2++ISoqiiZNmtC3b1+uXr0KwPnz53nkkUcYMGAAsbGxjB071qRo6cmTJ+nbty//93//x4EDB1i5ciU7duwwew6bEEJUejlZ6kK7X/SBTztB5NeQfRM8W8HAefDKUfVuRW7BSt+B8MR34FzH+DwuXmp7Cd7VqGjK5K26CiH7Jkyvc//9zKKoI1Hv1TNv97cvgX3VQn2Hp556iqlTp3L27FkA/vnnH1asWMG2bdsM+6Snp7No0SKWLVtGv379UBSFxYsX4+Pjw1dffcWUKVNYtGgRTZo0Yc6cOYBaYysuLo4PPvjAcJ5Zs2YxbNgww4ifj48Pn3zyCd26dWPRokUV5ik4IYSwuNSLsO9r2LcMbtx++lxrC60GQvtx6u22gh7W8R0ILcPQn95B6oXjONf1QXt35XBxX5I4CQDc3d0JCwtj2bJlKIpCWFgYtWrVMtrn5MmTZGdn07lzZ0ObnZ0dISEhHDlyBIAjR44Y3VYFjGpsAezfv58DBw7www8/GNpyi9+dPn2ali1bWvryhBCi/FIUOPMP7P4cjvye99BQ9doQ/DS0G2U6klQQrQ14dyGjanOcPTwq7VN0xSGJU0mxq6KO/JjjzE749v/uv9+IX82bvGdXxbzve5fRo0cbbpctXLiwSOcwx40bN3j22WfzreJeViajCyFEqctMg9iV6mTvpCN57Y06q6NLrQaoS6UIq5LEqaRoNObfLmv6oPr0XOol7vnEQ9MHS3RItW/fvmRlZaHRaOjTp4/J9iZNmmBvb88///xDw4YNAbVq+r59+wy33Vq2bMnatcYT2Xfv3m30um3bthw+fJimTZuWzIUIIUR5lnzs9kK7P6rJE6h/EAc8riZMtWW91dIkiVNZoLVRJ/H9OBz1CYc7kyfrPfFgY2NjuOVmY2P6vapWrcrzzz/PlClTqFGjBvXr1+eDDz7g5s2bjBkzBoDnnnuOOXPmMGXKFMaOHUtUVJTRE5AAr776Kh06dGDChAmMHTuWqlWrcvjwYTZt2sSnn35aYHyxsbGAOmKVnJxMbGws9vb25a/shBBC3E2Xo9Zb2v0FnNqW116rqZosBT4JjvJEcVkgiVNZkfvEw911nFy81KTJSk883L2czN3++9//otfrGT58OGlpaQQFBbFhwwbc3NwA9Vbbr7/+yuTJk1mwYAEhISHMnDmT0aNHG87h5+fHX3/9xRtvvEGXLl1QFIUmTZowdOjQe37vO0sjREVFsXz5cho2bJhvuQMhhCgXbiRD5DJ1wnfKv2qbRgst+qkJU+PuMg+pjNEoZW1Z+zIqNTUVFxcXUlJS8l2r7vTp03h7exf/iTC9Tp3zlJagTvxr1KnMPvGgKAo5OTnY2tqWuaVmLPpvUkbo9XqSkpLw8PCQZSmsQPrbeipdXysKnN+rzl06uAp02Wp7lZp5k73dSm6+Z6XrbzPc63f83WTEqazR2kDjLqUdhRBCCEvLuglxv6pPx13an9deL1gdXWr9MNhVjD/0KjJJnIQQQoiSdOUU7P0Kor9Tl0UBsHUEv0fVhKnuvVe6EGWLJE5CCCFEYd1vWoVeD8c3qrfjjm/OW9HBrRGEjIGgp9Rbc6LckcRJCCGEKIx7Lcju/QBEfw97voRrZ/K2N+ulji759Cqz81aFeSRxEkIIIcyVuyD73TX3Ui/Cj0+B1g70tyd7O7qqI0shY6BmE2tHKkqIJE4WJA8olh3ybyGEsDi9Th1pyrdQce4+2VC7DXR4Vp3DZF+0lRxE2SWJkwXY2akl72/evImTk1MpRyMAsrKygPwLeQohRJGc2Wl8e64g/WdB464lH48oFZI4WYCNjQ2urq4kJSUBUKVKlTJX16gklNU6Tnq9nuTkZKpUqYKtrbzFhRAWoNfD8U3m7ZuWWLKxiFIlv1UspHbt2gCG5KkyUBQFvV6PVqstU4kTgFarpUGDBmUuLiFEOXPzKkT/AHu/hKunzTumeu2SjUmUKkmcLESj0VCnTh08PDzIzs4u7XCsQq/Xc+XKFWrWrFnmqs/a29uXuZiEEOXIhWh13bi4XyEnQ21zcAZFB1npBRx0e0H2Rp2sFqawPkmcLMzGxqbSzKvR6/XY2dnh6OgoSYoQovzLvgVxv6m1ly5E57XX8VNLCfg9Cscjbj9VB6W1ILsoXUVOnLKzs0lISODmzZu4u7tTo0YNS8YlhBBCWMeVU7BvKUR9B7euqW029uoSKO3HQv0QyL3tX0YWZBelp1CJU1paGt9//z0rVqxg7969ZGVloSgKGo2GevXq0bt3b5555hnatWtXUvEKIYQQxafXwbE7Knvncm0A7UZD8AioWiv/Y30HQsuwcrMgu7AssxOnuXPn8v7779OkSRMGDBjA66+/jpeXF05OTly9epWDBw+yfft2evfuTfv27VmwYAE+Pj4lGbsQQghROOmXIfJbdYTp+rm8dp9Q9XZcs97mJUCyIHulZXbitG/fPv7++298fX3z3R4SEsLo0aNZvHgxX3/9Ndu3b5fESQghROlTFDi/V10G5eAq0Kl13nByg6Dh6ghTzcalG6MoN8xOnH788Uez9nNwcOC5554rckBCCCGERWSlw4Ff1ITp0v689rpt1dGlNo+AnRQtFoUjT9UJIYSoWC4fV5OlmOWQkaK22TpCm/9TJ3vXCyrd+ES5VuTEKSMjgwMHDpCUlIRerzfaNnCgPFUghBDCinQ5EP8/NWE6uTWvvYY3hIyFtk9ClZqlF5+oMIqUOG3YsIERI0Zw+fJlk20ajQadTlfswIQQQoj7SkuEyG9g39eQekFt02igeV81YWraE6TOnLCgIr2bXnjhBR577DEuXbqEXq83+rJU0rRw4UIaNWqEo6Mj7du3Z+/evQXuu2zZMjQajdGXo6Oj0T7vvvsuLVq0oGrVqri5uREaGsqePXssEqsQQggrUhS1FMDKUfBRK4h4T02aqtSEruEQfgCeWgnNeknSJCyuSCNOiYmJhIeH4+npael4AFi5ciXh4eEsXryY9u3bM3/+fPr06UN8fDweHh75HuPs7Ex8fLzh9d1rlDVr1oxPP/2Uxo0bc+vWLebNm0fv3r05ceIE7u7uJXIdQgghLCgzDWJXquvGJR7Oa68fos5dav0w2DqUXnyiUihS4vToo4+ybds2mjRpYul4ALVm1Lhx4xg1ahQAixcvZt26dSxdupTXXnst32M0Go1hod38PPnkkybf46uvvuLAgQP07NnTcsELIYQwn14Hp3fgeOE4pPuA9wOmdZQSj6jJUuwKNXkCsKsC/kMgZAx4+Vs/blFpFSlx+vTTT3nsscfYvn07bdq0wc7Ozmj7xIkTixxQVlYWUVFRTJ061dCm1WoJDQ1l165dBR5348YNGjZsiF6vp23btsycObPAmlNZWVl8/vnnuLi44O8vHzghhCgVh9bCulfQpl7ENbfN2QvCPoQW/eDIH+pk79Pb846p1VSduxT4JDi5mp5TiBJWpMTpxx9/ZOPGjTg6OrJt2zaj22IajaZYidPly5fR6XQmtwE9PT05evRovsc0b96cpUuX4ufnR0pKCh999BGdOnXi0KFD1KtXz7DfH3/8weOPP87NmzepU6cOmzZtolat/EvqZ2ZmkpmZaXidmpoKYJjLJdS+UBRF+sNKpL+tS/q7hB1ei2bFSEDhzokVSuol+PEpcHRFk3FdbdNooUV/lJCx0Lhb3rpx8m9TJPLeNlWYvihS4vTGG28wbdo0XnvtNbRlYOJdx44d6dixo+F1p06daNmyJUuWLGHGjBmG9h49ehAbG8vly5f54osvGDJkCHv27Ml33tSsWbOYNm2aSXtycjIZGRklcyHljF6vJyUlBUVRysT7oKKT/rYu6e8SpNfh/scraO5KmgA0KOr/ZFxH51STW75Duek7FH31Omp7crJVQ62I5L1tKi0tzex9i5Q4ZWVlMXTo0BLp8Fq1amFjY0NiYqJRe2Ji4j3nMN3Jzs6OwMBATpw4YdRetWpVmjZtStOmTenQoQM+Pj589dVXRrcFc02dOpXw8HDD69TUVOrXr4+7uzvOzs5FuLKKR6/Xo9FocHd3lw+fFUh/W5f0dwk6vR3tjYT77qZ57EuqNO1BFSuEVJnIe9vU3U/i30uREqeRI0eycuVKXn/99aIcfk/29vYEBQURERHB4MGDAfUfOSIiggkTJph1Dp1OR1xcHP3797/nfnq93uh23J0cHBxwcDB9OkOr1cob7Q4ajUb6xIqkv61L+ruE/LvPrN20t65KOYESIu9tY4XphyIlTjqdjg8//JA///wTPz8/k8nhc+fOLcppDcLDwxk5ciTBwcGEhIQwf/580tPTDU/ZjRgxgrp16zJr1iwApk+fTocOHWjatCnXr19n9uzZnD17lrFjxwKQnp7O+++/z8CBA6lTpw6XL19m4cKFXLhwgccee6xYsQohhDBD9i2I+w32fgX/Rpp3THXz7jIIYU1FSpzi4uIIDAwE4ODBg0bb7q6fVBRDhw4lOTmZt99+m4SEBAICAtiwYYNhwvi5c+eMssNr164xbtw4EhIScHNzIygoiJ07d9KqVSsAbGxsOHr0KN988w2XL1+mZs2atGvXju3btxf45J0QQggLuHIS9i6F6O/h1jW1TWsLNnZqMpUvDbh4QaNOVgtTCHNpFEVRSjuI8iA1NRUXFxdSUlJkjtNter2epKQkPDw8ZLjXCqS/rUv6uxh0ORC/Qa29dGJLXrtrA2g3CoKGw9nd8OPw2xvu/DV0+4/vJ74DX1n3tCTIe9tUYX7HF3mR3/wkJyezefNmnnjiCUueVgghRHmQlnB73bhlxuvG+fRSC1U2651X3NJ3oJocrXsFUi/mncPFC/p/IEmTKLOKlDhNnz493/aTJ0/y22+/SeIkhBCVhaLA6R3q6NLh30Gfo7ZXqQlBI9QRphqN8j/WdyC0DEN/egepF47jXNcHbX6Vw4UoQ4qUOK1atcrotU6n4/z586SmpvLee+9ZJDAhhBBlWEYKxPyoTvZOzlsnlAbt1crerQebt26c1ga8u5BRtTnOHh7yFJ0o84qUOMXExJi05eTkMGnSJA4dOlTsoIQQQpRRF/erydL+nyD7ptpmXxUCHldvx9VuXbrxCVHCLDbHydbWlkmTJuHn52epUwohhCgLsjPg4G/qunF3lhLwaAntx4L/UHCUh2ZE5WDRyeFnz57F29vbkqcUQghRWq6cgn1LIeq7vFICNnbQaiC0HwcNO+atGydEJVGkxOmTTz4xaUtMTGTp0qUMGDDAaHtxFvwVQghhZbocOPanOtn7eEReu0t9daJ38AioZrq+pxCVRZESp3nz5uXb7ujoyKZNm9i0aROgFsOUxEkIIcqBtMTbpQS+vquUQKg62fvOUgJCVGJFSpxOnz5t6TiEEEJYm6LAmX/UuUuH195VSmD47VICMv1CiDuZnTidO3eOBg0amH3iCxcuULdu3SIFJYQQogTllhLYtxSSjua1N2ivPhnnOxjszF8tXojKxOyCGe3atePZZ59l376CV7VOSUnhiy++oHXr1vz6668WCVAIIYSZ9Do4tR32/6z+V68z3n7pAKyeCB80Vyt2Jx1VSwm0Gw3j/4FnNqllBSRpEqJAZo84HT58mPfff59evXrh6OhIUFAQXl5eODo6cu3aNQ4fPsyhQ4do27YtH374If379y/JuIUQQtzp0FrT5UucvaDve6DLVid7n7/jD1+PluroUsDjUkpAiEIo9CK/t27dYt26dezYsYOzZ89y69YtatWqRWBgIH369KF164pZ/EwW+TUlC0Val/S3dZWr/j609vaCuff5cZ5bSiBkLDTqVGZKCZSrvq4ApL9Nlegiv05OTjz66KM8+uijRQ5QCCGEheh16kjTvZImjQ08OBXaPS2lBIQoJkk1hRCiPDuz0/j2XH4UnVqsUpImIYrNopXDhRBCWImiwKm/YNN08/ZPSyjZeISoJCRxEkKI8uTmVYhZrpYSuHzC/OOq1y65mISoRCRxEkKIsk5R4N99sHcpxP0GORlqu0N18H8MDv8BN5LJf56TBly81MngQohik8RJCCHKqswbsP8ndXTp0oG89jp+aikBv8fAoRo0efD2U3UajJOn20/N9f9AlksRwkIskjj17dsXf39//Pz88PPzo2XLltjaSk4mhBBFknAI9n0FsSshM01ts3WENo+oCVO9YONSAr4D4YnvTOs4uXipSZPvQOvGL0QFZpHs5sEHH+Sff/5Bo9GwYsUKtmzZQrt27Rg+fDhjxoyxxLcQQoiKLTsDDq1Wb8ed253XXqupWtk78EmoUqPg430HQssw9Sm7tAR1TlOjTjLSJISFWSRx+vHHH4mJiTG83rZtG7///jvx8fG89dZbzJgxwxLfRgghKp4rJ2HfMoj+Tp34DaC1hZYPqaNLjbuaX6hSawONu5RYqEIICyVOTk5OHD9+HB8fHwC6d+/O5MmTiY6OJigoSBInIYS4ky4H4v8He7+CE1vy2l3qQfDTEDxCnoITooyySOL02WefMWTIEDp16kRAQADHjx/Hzs4OjUZDdna2Jb6FEEKUf6kXIfIb9St3LpJGAz6h6jIoPr3ARuaHClGWWeQTGhAQwL59+1i1ahUHDhygTp06rFu3jps3b8rSLEKIyk2vh5Nb1Sfjjq5Xl0gBqFoLgkaoI0w1GpVmhEKIQrDYnza2trY89thjPPbYY0bt77zzjqW+hRBClB/pVyDmBzVhunIqr71RZ3Wyt+9AsHUovfiEEEVS7MRJp9Nx9OhRDh48aPhatWqVJWITQojyRVHg3B517tKh1ZCTqbY7OEPgE2rC5NmyVEMUQhRPoRKnU6dOERcXZ5QkHT9+nOzsbOzt7WnZsiVt2rSxSGALFy5k9uzZJCQk4O/vz4IFCwgJCcl332XLljFq1CijNgcHBzIy1Oq62dnZvPnmm6xfv55Tp07h4uJCaGgo//3vf/Hy8rJIvEKISiwjVS1UufcrSDyU1+4VcLtQ5aNgX7XUwhNCWI7ZidNTTz3Fjz/+iEajoUqVKqSnpxMWFsbbb79NmzZt8PHxwcbGMvVCVq5cSXh4OIsXL6Z9+/bMnz+fPn36EB8fj4dH/qt7Ozs7Ex8fb3ituePx3Zs3bxIdHc1bb72Fv78/165d48UXX2TgwIFERkZaJGYhRCV0KU5Nlvb/BFk31DY7J2jzKISMhnpBpRufEMLizE6cfvnlFz755BPGjBlDTk4Ob7zxBkuWLKFFixY89NBDFkuaAObOncu4ceMMo0iLFy9m3bp1LF26lNdeey3fYzQaDbVr5//4rouLC5s2bTJq+/TTTwkJCeHcuXM0aNDAYrELISoAvQ5O78DxwnFI9wHvB/IKSWbfgoOr1ITp/L68Y9yb3S5U+QQ4uZVO3EKIEmd24jR58mRGjBiBo6MjAB9//DEjRozgueee45dffuGzzz6jb9++xQ4oKyuLqKgopk6damjTarWEhoaya9euAo+7ceMGDRs2RK/X07ZtW2bOnImvr2+B+6ekpKDRaHB1dS12zEKICuTQWlj3CtrUi7jmtjl7QdfJcO0sRP8At66p7TZ20GoAtBujJlfmFqoUQpRbZidOs2bNMmkLCgpi7969fPLJJwwdOpSwsDA+/vhj3N3dixzQ5cuX0el0eHp6GrV7enpy9OjRfI9p3rw5S5cuxc/Pj5SUFD766CM6derEoUOHqFevnsn+GRkZvPrqqzzxxBM4Ozvne87MzEwyMzMNr1NTUwHQ6/Xo9fqiXl6FotfrURRF+sNKpL+t4PBaNCtGAgp3pkBK6kU0f0zJe+1aHyXoaQgaDtVuTx9QFPVLFJq8t61L+ttUYfqi2E/VaTQaXnzxRR599FEmTpxIixYtuHLlSnFPWygdO3akY8eOhtedOnWiZcuWLFmyxKRqeXZ2NkOGDEFRFBYtWlTgOWfNmsW0adNM2pOTkw2Tzis7vV5PSkoKiqKg1WpLO5wKT/q7hOl1uP/xCpq7kiYADaAA2Dhwve98Mht2V2/d3QRuJlk70gpH3tvWJf1tKi0tzex9LVbHqW7duvz666+sW7euWOepVasWNjY2JCYmGrUnJiYWOIfpbnZ2dgQGBnLixAmj9tyk6ezZs2zZsqXA0SaAqVOnEh4ebnidmppK/fr1cXd3v+dxlYler0ej0eDu7i4fPiuQ/i5hJ/9CeyOhwM0aAF0mLh71oHYdq4VVGch727qkv03lTkMyh8Vr+4eFhRXreHt7e4KCgoiIiGDw4MGA+o8cERHBhAkTzDqHTqcjLi6O/v37G9pyk6bjx4+zdetWatasec9zODg44OBgWpxOq9XKG+0OGo1G+sSKpL9LQFoCRH0H/yw0a3ftjSSQ/rc4eW9bl/S3scL0Q5lcFCk8PJyRI0cSHBxMSEgI8+fPJz093fCU3YgRI6hbt65h3tX06dPp0KEDTZs25fr168yePZuzZ88yduxYQE2aHn30UaKjo/njjz/Q6XQkJKh/WdaoUQN7e/vSuVAhROnQ6+HUX7DvazjyB+hzzD9WFt8VolIrk4nT0KFDSU5O5u233yYhIYGAgAA2bNhgmDB+7tw5o+zw2rVrjBs3joSEBNzc3AgKCmLnzp20atUKgAsXLrB27VpAXVfvTlu3bqV79+5WuS4hRCkraBmUBu3VNeM2T4fUBG7PaLqLBly8oFEnKwUrhCiLNIoij4GYIzU1FRcXF1JSUmSO0216vZ6kpCQ8PDxkuNcKpL+LSFHg7K7by6CsAV2W2u5QHQIeV2sv1b5duuTQWvhxeO6Bd5zk9nTxJ75T15gTFiXvbeuS/jZVmN/xZXLESQghiu3WdYhdoY4uJd1RysQrUK3q3eb/wKGa8TG+A9XkaN0rkHoxr93FC/p/IEmTEKLoiVNERAQREREkJSWZ1D9YunRpsQMTQohCUxS4EAV7l0Lcr2qVbwC7KuD3GISMgrpt730O34HQMgz96R2kXjiOc10ftHdWDhdCVGpFSpymTZvG9OnTCQ4Opk6dOkbrwgkhhNVlpsGBX9SE6dL+vHbPVuqtuICh4Ohi/vm0NuDdhYyqzXH28JCn6IQQBkVKnBYvXsyyZcsYPnz4/XcWQoiScilOvRUXuzJvkV1bB2j9MISMgfohsgyKEMKiipQ4ZWVl0amTPFkihCgFWTfzFtn9NzKvvVbTvEV2q9y7TpsQQhRVkRKnsWPHsnz5ct566y1LxyOEEPlLildHl2J+hIzrapvWFloNVCd7e3eR0SUhRIkzO3G6c/kRvV7P559/zubNm/Hz88POzs5o37lz51ouQiFE5ZWTqZYI2LcUzvyT1+7aENqNgqCn8hbZFUIIKzA7cYqJiTF6nVtI8uDBg0btMlFcCFFsV05B5DJ1KZSbtxcN12ihRT/1dlzTnjJhWwhRKsxOnLZu3Wr4/3PnzlGvXj2TwlmKonD+/HnLRSeEqDx02XD0f+rcpZN5P29w9oLgkRA0Alzqll58QghBEec4eXt7c+nSJTw8jIfIr169ire3NzqdziLBCSHKOb0OzuxUF9KtXltdruTuekjXz+eNLqWpa0ii0aijSiFjoFkfsJFavUKIsqFIP40KWqXlxo0bODo6FisgIUQFcWitaQVuZy8I+xBahsHxTWrdpWMbQbldRLequzqyFDwSajQqlbCFEOJeCpU45U4Q12g0vP3221SpUsWwTafTsWfPHpNFdIUQlZBhzbe7/shKvQQ/PqWWC8iduwTg3VV9Mq7lQ2Brb9VQhRCiMAqVOOVOEFcUhbi4OOzt837A2dvb4+/vz8svv2zZCIUQ5Ytep4403Z00QV7bzStqJe+g4RA8Ctx9rBmhEEIUWaESp9wJ4qNGjeLjjz++7wrCQohK6MxO49tzBRn6NfiElnw8QghhQUWa4/T1119bOg4hREWgKHBym3n73rxWoqEIISoOnV7H7uOxJKVewcO5Jh18ArAppYW3i5Q43VkM804ajQZHR0eaNm3KoEGDqFGjRrGCE0KUE+lXIGY5RH4Nl0+Yd0z12iUbkxCiQlgXs5U3V87j0vUkQ1sdVw/eGzqZsMAeVo+nSIlTTEwM0dHR6HQ6mjdvDsCxY8ewsbGhRYsWfPbZZ7z00kvs2LGDVq1aWTRgIUQZoSjqbbl9S+HQGtBlqe12VQEFsm8WcKAGXLzU0gRCCHEP62K2MnbJVJMZkwnXkxi7ZCpfPjvL6slTkUrvDho0iNDQUC5evEhUVBRRUVH8+++/9OrViyeeeIILFy7QtWtXJk+ebOl4hRCl7eZV2LkQPmkHX/WDAz+rSZNXAAz6GF47Bo9+Dmhuf93p9uv+H5jWcxJCiDvo9DreXDnvXo+Z8NZP89HprVs7skgjTrNnz2bTpk1Gk8NdXFx499136d27Ny+++CJvv/02vXv3tligQohSpChwdrd6K+7gKnUNOQD7qtDmUQgZBXXb5u3vOxCe+M60jpOLl5o0+Q60bvxCiHJn9/FYo9tzd1OAi9cS2X08ls7Ng6wWV5ESp5SUFJKSkkxuwyUnJ5OamgqAq6srWVlZxY9QCFF6bl2D2BWwbxkkHclrr91GXWTXfwg4FvB0re9AtdDl/SqHCyFEPo5cOGnWfkmpV+6/kwUVKXEaNGgQo0ePZs6cObRr1w6Affv28fLLLzN48GAA9u7dS7NmzSwWqBDCShQFzu+FfV9D3G+Qk6G22zmpo0vtnoZ6weqyKPejtYHGXUo0XCFExZGUcoW10RGs3reJyFNxZh3j4VyzhKMyVqTEacmSJUyePJnHH3+cnJwc9US2towcOZJ58+YB0KJFC7788kvLRSqEKFkZKRC7Uk2YEg/ltXv6qqNLAUPVopVCCGFB19NTWRezldWRm/gnPhp97hJMgL2tHVk52fkepwHquHnSwSfAOoHeVqTEqVq1anzxxRfMmzePU6dOAdC4cWOqVatm2EeWXhGiHFAUuBAFe7+GuF/znoSzdYQ2j6gJU/0Q80aXhBDCTOkZN/nzwHZW7dvItsN7yNblGLa19fbl4eDeDAh6kKjTBxm7ZCpgvBZB7k+kGUMmWb2eU7GWHK9WrRp+fn6WikUIYS0ZqerTcPu+hksH8to9WtweXXocnNxKLz4hRIWTkZ3J1kO7WbVvI5sO7OBWdqZhW6u6TRncrheDgnvRsJaXoT0ssAdfPjvLtI6TmyczhkwqP3WcACIiIoiIiCApKQm9Xm+0benSpcUOTAhRAi7EqMnSgZ8hK11ts3UA38HQbjQ07CCjS0IIi8nR5bD9aCSrIzexPmYbaRnphm3e7vUY3K4Xg4N709zLu8BzhAX2oK9/1/JdOXzatGlMnz6d4OBg6tSpg0Z+0ApRdmXegAO/qAnTxZi89lo+6uhS4BNQxbqTK4UQFZder2fvyQOs2reR36O3cPXGdcM2LzcPBgaFMrhdL/wbtDA7f7DR2li15MC9FClxWrx4McuWLWP48OGWjkcIYSkX96vJ0v6fIOuG2mZjr5YJaDcaGnWW0SUhhEUoisL+c0dZvW8Ta6M2c/Fa3m21GtVcGdD2QR5u15uQJn5otUWqvV1mFClxysrKolOnkl0uYeHChcyePZuEhAT8/f1ZsGABISEh+e67bNkyRo0aZdTm4OBARkaG4fVvv/3G4sWLiYqK4urVq8TExMgEdlHxZKXDgV/VQpX/RuW112oKwaMg8EmoKqNLQgjLiL94mtWRG1m9bxOnk/81tFd3rEr/wO4MDu5FlxbB2NoUa0p1mVKkKxk7dizLly/nrbfesnQ8AKxcuZLw8HAWL15M+/btmT9/Pn369CE+Ph4PD498j3F2diY+Pt7w+u7hv/T0dB544AGGDBnCuHHjSiRuIUqMXgend+B44Tik+4D3A8aFJBMOqmvGxf4EmWoRWmzsoNUAdXTJu4uMLgkhLOLs5YusidzE6n2bOHwhb1FvJzsHevk9wMPtetPDtwOOdg6lGGXJKVLilJGRweeff87mzZvx8/PDzs7OaPvcuXOLFdTcuXMZN26cYRRp8eLFrFu3jqVLl/Laa6/le4xGo6F27YJXW8+9rXjmzJlixSaE1R1aC+teQZt6EdfcNmcv6DNDXSNu31I4vy9v/xret+cuDYNq7qUQsBCiokm4nszvUVtYFbmR6NN5dd7sbGzp4duBwcG96OPXhaqOVUoxSusoUuJ04MABw22ugwcPGm0r7kTxrKwsoqKimDp1qqFNq9USGhrKrl27Cjzuxo0bNGzYEL1eT9u2bZk5cya+vr5FjiMzM5PMzLxHJXOXktHr9SZPEVZWer0eRVGkP0rS4bVoVowEFKPlcpXUi/DzGEOborWFlmEowaPAuyvkziGQf5sik/e39UhfW49Or2PXsRhO/HuGpvUa0bFZYIFPp129kcL62K2sidzMzuMxKIpaSUmr0dKpWVsGB/eiX0A33KrmLbtUXv8NCxN3kRKnrVu3FuUws1y+fBmdToenp6dRu6enJ0ePHs33mObNm7N06VL8/PxISUnho48+olOnThw6dIh69eoVKY5Zs2Yxbdo0k/bk5GSjuVOVmV6vJyUlBUVRyv1kvzJJr8P9j1fQ3JU0QV7xN0Vjw42QF7jV6jH0VW+PLl2+bM0oKyx5f1uP9LV1RBzexYcbviTxjrXdPJ1r8krfsfRs1RGA9MxbbDu6h/8d3M7uk7Hk6HWGff3rt6Bv6wfo1aoztaqrdd6y0zNISi//vxPT0tLM3rfIs7W2b9/OkiVLOHXqFD///DN169blu+++w9vbmwceeKCopy2Sjh070rFjR8PrTp060bJlS5YsWcKMGTOKdM6pU6cSHh5ueJ2amkr9+vVxd3fH2bmARU0rGb1ej0ajwd3dXX7YlYTT29HeSLjnLhpFR9VWPanqXfTRVZE/eX9bj/R1yVsfs42Xf/rAqPo2qAvkvvzTBzwX+iTnr1xi88F/yMjOMmz3refD4OBeDAzqSf2adawbtBU5OjqavW+REqdff/2V4cOHM2zYMKKjow23tFJSUpg5cybr168vymkBqFWrFjY2NiQmJhq1JyYm3nMO053s7OwIDAzkxIkT99+5AA4ODjg4mE5s02q18sG+g0ajkT6xtOxbcHAVbPvIrN21N5Lybs0Ji5L3t/VIX5ccnV7HWz/PN0maIG8Zk0Wblxvamng2YHBwLwa364VP7UbWCLHUFeZ9V6R36HvvvcfixYv54osvjCaGd+7cmejo6KKc0sDe3p6goCAiIiIMbXq9noiICKNRpXvR6XTExcVRp07FzY5FBZR4GP6YAh80h1+fgytmJv7VzfuDQghROe0+Hmu0XElBBgWFsun1b9jx7kqmDBhXaZKmwirSiFN8fDxdu3Y1aXdxceH69evFjYnw8HBGjhxJcHAwISEhzJ8/n/T0dMNTdiNGjKBu3brMmjULgOnTp9OhQweaNm3K9evXmT17NmfPnmXs2LGGc169epVz585x8eJFwzUA1K5d2+yRLCEsLuumOrq072s4vzev3bUhBA2HvV9CWiLk+7eiBly8oFHJ1lQTQpRfiqKw50SsWfv2DehKmwbNSzagCqBIiVPt2rU5ceIEjRo1MmrfsWMHjRs3LnZQQ4cOJTk5mbfffpuEhAQCAgLYsGGDYcL4uXPnjIbVrl27xrhx40hISMDNzY2goCB27txJq1atDPusXbvWqEjm448/DsA777zDu+++W+yYhSiUhENqkcrYlZCRorbdfjKO4KehSQ/19ptHC/hxOOp08HzWBu//gXE9JyFEpacoCocvnGD1vk2sjtzE+SuXzDrOw1mK45pDo+Q+X1gIs2bN4vvvv2fp0qX06tWL9evXc/bsWSZPnsxbb73FCy+8UBKxlqrU1FRcXFxISUmRyeG36fV6kpKS8PDwkHkJ5shKh7hVasJ0Z90lt0ZqstR2GFT3ND3udh0nUi/mtbnUVZMm34ElHXWlJe9v65G+towTCWdZHbmJNZGbOJ5w1tDuZO8IisKt7Mx8j9MAddw82ff+b6W2cG5pK8zv+CKNOL322mvo9Xp69uzJzZs36dq1Kw4ODrz88ssVMmkSolguxd0eXbqjqrfWFlo+BO2ehsbd7z2523cgtAxDf3oHqReO41zXB+3dlcOFEJXS+SuXWBO5mTWRm4g7f8zQ7mBrT2ibTgwK7kVom85sPbSLsUvU+oj5jF0zY8ikSps0FVaRRpxyZWVlceLECW7cuEGrVq2oVq2aJWMrU2TEyZT8lXgPWekQ95ta1fvONePcGqlVvdsOg2r5Lx9UEOlv65L+th7p68JJTLnM71ERrI7cTOSpOEO7rdaGbq3aMzi4F339u1LdqarRcetitvLmynlGE8W93DyZMWQSYYE9rBZ/WVTiI0657O3tjeYRCVHpXTqgTvTe/xNk3i6oZmMHLQeoo0t3VvUWQggzXb2RwvqYrayO3MzOY9HoFbXStUajMVTxDgvsQY1qLgWeIyywB339u7LrWAzHz5/Cp37je1YOF/kzO3G6sxjk/RR3rTohypXMGxD3q5owXbijHIesGSeEKIa0W+ls2P83qyM38dfhPUZVvIMbt2FwcCgDgnri6VLL7HPaaG3o1KwtTV3ryQhfEZmdOMXExJi1X3HXqhOi3LgYC/uWqaNLWTfUNhs7aDUAgkeBdxcZXRJCFMrNrAw2x/3DmshNbI7bSWZOXhXvNvWbMeh2Fe8GtbxKMcrKzezEqSTXpxOi3MhMgwO3R5cu3vHHRM0mt0eXnoSq5v/1J4QQWTnZbDu8hzWRm9iwfzvpmTcN25p6NmRwu14MCg6VgpRlRIVYq06IEnchRh1dOvDzXaNLA9WEybsLyGirEMJMObocdh6LZnXkJtbFbCPlZt4is/Vr1jEsedKqblO5k1PGlLm16oQoMzLTYP/PELlMvS2Xq1ZT9VZc4BMyuiSEMJteryfyVByrIzexNiqCy2nXDNs8XWoxKCiUwe1CCWzkK8lSGVakxCl3rboRI0awYsUKQ3vnzp157733LBacEBan18GZnZCWoK7x1qiTcT0kRVFvwRlGl9LVdht78B2kji416iyjS0JUcjq9jt3HY0lKvYKHc006+ATk+3SaoigcOBevJkuRm7lwLW8B+xpVXXio7YMMCg4t8HhR9pTJteqEKBH5VeB29oKwD6FJdzVR2rcMLu3P217LR02WAp6AqrIcgRAi/3pIdVw9eG/oZEM9pKMXT7EmchOr923idPK/hv2qO1alX0A3BrfrRZcW7bCzKVZVIFEKyuRadUJY3KG1t9d8u6vea+pF+PEpdURJd/vpFVsHdXQpeJQ6IiWjS0KI29bFbGXskqkmy24nXE9izJKpPNKuN0cunuTIhZOGbU52DvT278Lg4F708O2Ao52DdYMWFlWkxGncuHG8+OKLLF26FI1Gw8WLF9m1axcvv/wyb731lqVjFKJ49Dp1pMnkR90ddFnq6FLIaAh4HKrI6JIQwphOr+PNlfPy/UmS2/bbvo0A2NnY8qBvRwa360XvNg9Q1bGK1eIUJUvWqhMV35mdxrfnCjJwHjQ2vQUthBAAu4/HGt2eK8j43k/xQp8RuFaV5bkqoiIlThqNhjfeeIMpU6ZUmrXqRDl18ypEf2/evmmJ999HCFEpXUtPYdXt0aT7aV2/mSRNFZisVScqHkVRR5kiv4ZDayAn07zjqtcu2biEEOXKjYzcJU8289fhPWTrcsw6zsNZbvVXZEVKnMaOHctTTz1F9+7dLRyOEMWQfhlilkPkN3D5eF67py+k/AsZqeQ/z0kDLl7qRHAhRKWWt+TJZiIO7iQjO+8Pr5ZeTfj3agJpGen5HqsB6rh50sEnwDrBilJRpMQpOTmZvn374u7uzuOPP85TTz2Fv7+/pWMT4v70ejj9t1pG4MjvoMtW2+2rQptHod1IqBsEh3+//VSdBuPk6fYTc/0/MK7nJISoNDKzs/jryB5W79vEhgPbuZl5y7CtqWdDBgWHMig4lGZ1vA1P1UG+P0mYMWSS1GOq4IqUOK1Zs4Zr167x888/s3z5cubOnUuLFi0YNmwYTz75pEmZAiEsLi1RnbsU+Q1cO5PXXjcQgp8Gv0fBoXpeu+9AeOI70zpOLl5q0uQ70FqRCyHKgBxdDjvio1gduYn1MdtIvXXDsC13yZNBwaH41vMxquIdFtiDL5+dZVrHyc2TGUMmGeo4iYpLoyjKPZ7RNs+///7Ljz/+yNKlSzl+/Dg5OebdBy5PUlNTcXFxISUlBWdnmfQH6vIBSUlJeHh4oNVqrfANdXAiQk2Wjv4P9LffZw7O4P+YmjB53Wfk836Vw8swq/d3JSf9bT3W6mudXseeE/tZHbmJP6K3cvXGdcO22i7uDAzqafaSJ+ZWDi+L5L1tqjC/44tdsjQ7O5vIyEj27NnDmTNn8PT0LO4phTCWcgGivlO/Us7ntdcPUat6tx6s3pozh9YGGncpkTCFEGWPoihEnz7E6shN/B61hYSUZMO2mtXdeCiwB4Pb9aJ9E/9CJRE2Whs6Nw8qiZBFGVfkxGnr1q0sX76cX3/9Fb1ezyOPPMIff/zBgw8+aMn4RGWly4FjG9UFdo9tBEWvtju5qsufBI8ET3miUwhhSlEUDp4/xpqozayJ3Mz5K5cM21yqVKd/QHcGB4fSuXkQtrLkiSikIr1j6taty9WrV+nbty+ff/45AwYMwMFBSsgLC7h2FqK+hajvIS3vhx2NOqu34nwHgp1TqYUnhCi74i+evp0sbeJk4jlDe1WHKvT178Kg4F50b9Uee1u7UoxSlHdFSpzeffddHnvsMVxdXS0cjqiUdNlwdL06unRii1qHCdRlT9oOg6CR4O5TqiEKIcqmM8n/siZyM6sjNxmtD+do50Bom84MCgqlZ5tOVLF3LMUoRUVS5LXqAA4fPsy5c+fIysoy2j5woDyhJMxw5SREfqs+HZeeN++AJj3UW3Etw9QFd4UQ4g4XriayNmozayIjiD172NBuZ2NL91btGRzciz7+XajmaObcRyEKoUiJ06lTp3j44YeJi4tDo9GQ+2Be7lMIOp3OchGKiiUnU62ptG+ZWn8pVzVPaPsUBA2Hmo1LLTwhhHXp9Dp2HYvh+PlT+NRvTMdmgfk+nZaceoW1UVtYG7WZPSf2G9q1Gi1dWgQzKLgX/QO6yVInosQVKXF68cUX8fb2JiIiAm9vb/bu3cuVK1d46aWX+Oijjywdo6gIko+pt+JilqvrxwFoNOATqs5dat4XbGTegRCVybqYrab1kFw9eG/oZMICe3AtPYX1MdtYHbmJf+Kj0d9+SESj0dC+aQCDgnryUNsHcXeuUVqXICqhIiVOu3btYsuWLdSqVQutVotWq+WBBx5g1qxZTJw4kZiYGEvHKcoavQ5O78DxwnFI9wHvB0zrIWXfgoOr1YTp7K68due6EPQUtB0Obg2sGbUQoozIrcB9dyHBhOtJjFkylTb1m3Pkwgly9Hl3MNp6+zIoKJQBQT3xcvOwbsBC3FakxEmn01G9ulqVuVatWly8eJHmzZvTsGFD4uPjLRLYwoULmT17NgkJCfj7+7NgwQJCQkLy3XfZsmWMGjXKqM3BwYGMjAzDa0VReOedd/jiiy+4fv06nTt3ZtGiRfj4yKTjQju0Fta9gjb1Iq65bc5eEPah+tRbwiF1gd3YnyDjurpdawPN+kC7p8GnV7kpOimEsDydXsebK+flu3JkblvcefV3iW89HwYH92JgUE8aute1WoxCFKRIiVPr1q3Zv38/3t7etG/fng8//BB7e3s+//xzGjcu/vyUlStXEh4ezuLFi2nfvj3z58+nT58+xMfH4+GR/18Zzs7ORknb3VVfP/zwQz755BO++eYbvL29eeutt+jTpw+HDx/G0VGetjDbobW313y760de6iX48Smo2USd9J3LtSEEj1DnLznXsWqoQoiyaffxWKPbcwX5ZORbDOkYZoWIhDBfkRKnN998k/R0dXXo6dOn89BDD9GlSxdq1qzJypUrix3U3LlzGTdunGEUafHixaxbt46lS5fy2muv5XuMRqOhdu3a+W5TFIX58+fz5ptvMmjQIAC+/fZbPD09Wb16NY8//nixY64U9Dp1rbd7/Z145SRobKDVAPXJuCY9QEr6CyGArJxs/j6yjwV/fmvW/nZSb0mUQUVKnPr06WP4/6ZNm3L06FGuXr2Km5vbfdf3uZ+srCyioqKYOnWqoU2r1RIaGsquXbsKPO7GjRs0bNgQvV5P27ZtmTlzJr6+vgCcPn2ahIQEQkNDDfu7uLjQvn17du3alW/ilJmZSWZmpuF1amoqoK7xo9fri3WN5dbpHWjvXCC3APqhy9TEydBQSfvLwvR6PYqiVN73n5VJf1tGji6HncdjWBu1mfUx27h+M83sY92r15D+LwHy3jZVmL6wWK35GjUs81TD5cuX0el0JmveeXp6cvTo0XyPad68OUuXLsXPz4+UlBQ++ugjOnXqxKFDh6hXrx4JCQmGc9x9ztxtd5s1axbTpk0zaU9OTjaaO1VpKApVD/1JdTN2Tb2aTEbS/YfhReHo9XpSUlJQFEUW5rQC6e+i0+v1xJw7wp+HdrD58E6upqcYttWs6krPVh3ZdOgfrt9MzXf8WgN4ONfC27kOSfKzxOLkvW0qLc38hL5IidOIESPo3r073bp1o0mTJkU5hUV17NiRjh07Gl536tSJli1bsmTJEmbMmFGkc06dOpXw8HDD69TUVOrXr4+7u/t9V06uUNKvQOyPaKK/Q5Ns3sR/57o+OBcwF00UnV6vR6PR4O7uLj/srED6u3AURSH6zCHWRkXwe1QECSmXDdvcqroQFtidgUE96eij1mlaH7ONcV+8jgbjm/+59yzeHxpOndoyL7IkyHvbVGHmOhcpcbK3t+e///0vY8eOpW7dunTr1s2QSBX3KbVatWphY2NDYmKiUXtiYmKBc5juZmdnR2BgICdOnAAwHJeYmEidOnkfxMTERAICAvI9h4ODQ77r7+WWX6jQ9Ho49RdEfgNHfleXRAGwdVJrL2XfLOBADbh4ofV+QOY1lRCNRlM53oNlhPT3vSmKQtz5eNZEbmZtVITRYrrOTtXoF9CNQcGhdGnRDru7FtN9KOhBvtTOMq3j5ObJjCGTCAvsYbXrqIzkvW2sMP1QpMTpyy+/BODChQv8/fff/PXXX8yZM4dnn32WOnXq8O+//xbltICalAUFBREREcHgwYMBNTuOiIhgwoQJZp1Dp9MRFxdH//79AfD29qZ27dpEREQYEqXU1FT27NnD888/X+RYK5zUS+ryJ1HfwbUzee1egepEb79H4eS220/VQb5/J/b/QEoNCFHBHb14ijWRm1gTuZlTSecN7VUcnOjr14VBwaF0b9UBBzv7e54nLLAHff27mlU5XIiyolhznNzc3KhZsyZubm64urpia2uLu7t7sYMKDw9n5MiRBAcHExISwvz580lPTzc8ZTdixAjq1q3LrFmzAPXJvg4dOtC0aVOuX7/O7NmzOXv2LGPHjgXUzHrSpEm89957+Pj4GMoReHl5GZKzSkuXA8c3qUUq4/+E25V5cXQB/8fUBXa9/PP29x0IT3ynPl1350RxFy81afKVdQqFqIhOJp5jTeRm1kRtJv7iKUN7cRfTtdHa0KlZW5q61sPDw0NGQESZV6TE6fXXX2fbtm3ExMTQsmVLunXrxmuvvUbXrl1xc3MrdlBDhw4lOTmZt99+m4SEBAICAtiwYYNhcve5c+eMPlzXrl1j3LhxJCQk4ObmRlBQEDt37qRVq1aGfV555RXS09N55plnuH79Og888AAbNmyovDWcrp5WR5aif4C0vOF1GnZS6y75Dgb7Kvkf6zsQWoahP72D1AvHca7rc/v2nPyVKERFcu7yRdZEbWZt5Gbizh8ztNvZ2PKgb0cGBYfS2+8BWUxXVCoaJXeF3kLQarW4u7szefJkHnnkEZo1a1YSsZUpqampuLi4kJKSUn4nh+dkwpE/IPJbOLk1r71KTQh8Ur0d527+v6VerycpKUn+SrQS6W/rqqz9felaEmujIlgTtZno04cM7TZaG7q2bMegoFD6BXTDpYo5z9iap7L2dWmR/jZVmN/xRRpxiomJ4a+//mLbtm3MmTMHe3t7wwTx7t27V4pEqlxJildvxcX+aLzAbpMearLUIgxs7z0XQQhRcSWnXuH36K2sjdzMnpP7yf17WqPR0KlZWwYH96J/YHdqVnMt1TiFKAuKlDj5+/vj7+/PxIkTAdi/fz/z5s1j/Pjx6PV6dDrdfc4gSlxW+u0Fdr+Bc7vz2p291OVPgoaDW8NSC08IYXk6vY7dx2NJSr2Ch3NNOvgEFDjR+lp6CutjtrE6chP/xEejV/IKAIY08WNQcC8GtH0QD5ea1gpfiHKhSImToijExMSwbds2tm3bxo4dO0hNTcXPz49u3bpZOkZRGBdj1WRp/8+QqVY7R2sDzftC0Ah1gV0bi9U9FUKUEetitpo+2u/qwXtDJxse7U+9dYMN+/9m9b5N/H1kLzn6vD9yAxq2YnC7UAa07UndGp4m5xdCqIr0G7RGjRrcuHEDf39/unXrxrhx4+jSpQuurq4WDk+YJSNFTZQiv4FL+/Pa3Rqpt+ICn5QFdoWowNbFbGXskqkmVbgTricxdslUnun5OGcvX2TLoV1k5WQbtvvW82FwcC8GBvWkoXtd6wYtRDlVpMTp+++/p0uXLuV3knRFoChwbo86d+ngKsi+pbbb2OctsOvdVQpRClHB6fQ63lw5715Lb7MkYoWhzad2Iwa368WgoFCa1pbb9UIUVpESp7CwMEvHIcyVfhliV6ijS3cugeLRQk2W/B+HqjInQYjKYvfxWKPbcwX5v3Z9mNB3OC28mhR7MXYhKjOZ7FLa9Do4sxPSEqB6bWjUybQekl4Pp7apZQTuXALFrgq0eURNmOqHqE/KCSEqjWxdDlsP777/jkCoX2da1m1awhEJUfFJ4lSaDq01rcDt7AVhH6pFJlMvQtTtJVCun83b584lUBzldqkQlYlOr2PnsWjWRG5mfcw2rqanmHWch7OMRAthCZI4lZZDa2+v+XbXzITUS/DjU1A3EC7uv/8SKEKICk+v17Pn5H7WRG7mj+gtXE67ZthWo5orGVmZ3My6le+xGtSFczv4BFgnWCEqOEmcSoNep4403Ws654UY9b8NO6qjS/daAkUIUeEoikLU6YOsidzM71FbSEhJNmxzq+pM/4DuDAoOpVOztvx5YDtjl0xVj7vjHLk372cMmSQL5wphIWYnTuHh4WafdO7cuUUKptI4s9P49lxB/m+xWkpACFEpKIrC/nNHWRO5mbVREVy4mmDY5uxUjb7+XRkUHErXliHY3VGPLSywB18+O8u0jpObJzOGTDLUcRJCFJ/ZiVNMTIzR6+joaHJycmjevDkAx44dw8bGhqCgIMtGWBGlJdx/HwCtXcnGIYQodYqicPjCCUOydCb5X8O2qg5V6OP3AIOCQ+neqgMOdgUvjRQW2IO+/l3NrhwuhCgasxOnrVvzFoWdO3cu1atX55tvvsHNzQ2Aa9euMWrUKLp06WL5KCua6rUtu58QotyJv3iaNVGbWRu5mROJeQ9/ONk5ENrmAQYF96Rn60442TuafU4brQ2dm8sfr0KUpCLNcZozZw4bN240JE0Abm5uvPfee/Tu3ZuXXnrJYgFWSI06qU/PpV4i/3lOGnDxUvcTQlQYpxLPsSZqM2siIzh68aSh3cHWnp6tOzIwKJRebTpT1VHmMwpRVhUpcUpNTSU5OdmkPTk5mbS0tGIHVeFpbdSSAz8OR52+mc90zv4fmNZzEkKUO2cvX2Tt7ZGluPPHDO12NrZ0b9WeQcGh9PHrSnWnqqUYpRDCXEVKnB5++GFGjRrFnDlzCAkJAWDPnj1MmTKFRx55xKIBVli+A+GJ70zrOLl4qUmT78DSi00IUSwXryWxNmozayI3E3PmsKHdRmtDlxbBDAwKpX9AN1yrSh02IcqbIiVOixcv5uWXX+bJJ58kO1utYm1ra8uYMWOYPXu2RQOs0HwHQsuw+1cOF0KUeYkpl/k9egtrIzez9+QBQ7tWo6VTs7YMCg6lX0A3alV3u8dZhBBlXZESpypVqvDZZ58xe/ZsTp5U79M3adKEqlVlqLnQtDbQWCbUC1GW6PQ6dh2L4fj5U/jUb0zHZoH5Pp12Oe0a62K2siZyM7uOx6AoebfdOzQNYGBwKA8F9sDDRap2C1FRFLkA5vbt21myZAmnTp3i559/pmrVqnz33Xd4e3vzwAMPWDJGIYSwmnUxW03rIbl68N7QyYQF9uBaegr/i/2LNZGb2REfhU6vM+zX1tuXQUGhDAjqiZebR2mEL4QoYUVKnH799VeGDx/OsGHDiI6OJjMzE4CUlBRmzpzJ+vXrLRqkEEJYw7qYrYxdMtXkWdeE60mMWTKVNvWbc+TCCXLuSJb8GrRgUHAoA9o+SINaXtYNWAhhdUVKnN577z0WL17MiBEjWLFihaG9c+fOvPfeexYLTgghrEWn1/Hmynn3WgiJuPPxALSq25RBwaEMDOqJt0d9q8UohCh9RUqc4uPj6dq1q0m7i4sL169fL25MQghhdbuPxxrdnivIxyPfYmjHMCtEJIQoi7RFOah27dqcOHHCpH3Hjh00bty42EEJIYS1ZGRnsj5mGzNXLzJrf3tbWQpJiMqsSCNO48aN48UXX2Tp0qVoNBouXrzIrl27ePnll3nrrbcsHaMQQlhUZnYWfx3Zw5rIzfx5YDs3Mm6afayHszwhJ0RlVqTE6bXXXkOv19OzZ09u3rxJ165dcXBw4OWXX+aFF16wdIxCCFFsWTnZbD+6jzWRm9mw/29Sb90wbKvr5klY2x78tvdPrqRdK2ghJOq4edLBJ8BaIQshyqAiJU4ajYY33niDKVOmcOLECW7cuEGrVq2oVq2apeMTQogiy9Hl8E98FGuiNrM+5i+u30w1bKvt4s6AoAcZFBxK20a+aLVa2jf1Z+ySqQUthMSMIZPyreckhKg8ilzHCcDe3p5WrVpZKhYhhCi23OKVa6Mi+CNmK1dvXDdsc3euwUOBarIU0sQPrdZ4mmdYYA++fHaWaR0nN09mDJlEWGAPa12GEKKMMjtxCg8PN/ukc+fOLVIwd1q4cCGzZ88mISEBf39/FixYYFgX715WrFjBE088waBBg1i9erWhPTExkVdffZWNGzdy/fp1unbtyoIFC/Dx8Sl2rEKI0qXX69lzcj9rIyP4I2YLyalXDdtqVHPlocAeDAwOpaNPwH1HjMICe9DXv6tZlcOFEJWP2YlTTEyM0evo6GhycnJo3rw5AMeOHcPGxoagoKBiB7Vy5UrCw8NZvHgx7du3Z/78+fTp04f4+Hg8PAquxnvmzBlefvllunQxXsJEURQGDx6MnZ0da9aswdnZmblz5xIaGsrhw4dlqRghyiG9Xk/U6YOsidzMH9FbSUhJNmxzq+pM/4DuDAzqSefmQdjaFG5w3UZrQ6dmbWnqWg8PDw+TkSkhROVl9k+TrVu3Gv5/7ty5VK9enW+++QY3N3XBymvXrjFq1CiTpKUo5s6dy7hx4xg1ahSgLiq8bt06li5dymuvvZbvMTqdjmHDhjFt2jS2b99uVE/q+PHj7N69m4MHD+Lr6wvAokWLqF27Nj/++CNjx44tdsxCiJKnKAoxZw6zJmozf0Rt4cK1RMM2Z6dq9AvoxqDgULq0aIddIZMlIYQwR5F+ssyZM4eNGzcakiYANzc33nvvPXr37s1LL71U5ICysrKIiopi6tSphjatVktoaCi7du0q8Ljp06fj4eHBmDFj2L59u9G23CVhHB0djc7p4ODAjh078k2cMjMzDccBpKaqk0r1ej16vb5oF1fB6PV6FEWR/rCSytrfiqIQd/4Ya6M283v0Fs5fuWTYVs2xCn38ujAwKJSuLdrhYGdv2Fbcfqqs/V0apK+tS/rbVGH6okiJU2pqKsnJySbtycnJpKWlFeWUBpcvX0an0+Hp6WnU7unpydGjR/M9ZseOHXz11VfExsbmu71FixY0aNCAqVOnsmTJEqpWrcq8efP4999/uXTpUr7HzJo1i2nTppm0Jycnk5GRUbiLqqD0ej0pKSkoiiK3MqygMvW3oigcTzzLn4d2sPHQP5y/mvc5dbJzpFvzdvT27Uznpm0NyVLKtesWjaEy9Xdpk762LulvU4XJXYqUOD388MOMGjWKOXPmGCZs79mzhylTpvDII48U5ZRFlpaWxvDhw/niiy+oVatWvvvY2dnx22+/MWbMGGrUqIGNjQ2hoaH069cPRcmvYgtMnTrVaEJ8amoq9evXx93dHWdn5xK5lvJGr9ej0Whwd3eXD58VVIb+jr94irXRW1gbtZmTiecM7Y52DoS27sTAoJ482LoTVewd73EWy6gM/V1WSF9bl/S3qTvvSN1PkRKnxYsX8/LLL/Pkk0+SnZ2tnsjWljFjxjB79uyinNKgVq1a2NjYkJiYaNSemJhI7dq1TfY/efIkZ86cYcCAAYa23CE3W1tb4uPjadKkCUFBQcTGxpKSkkJWVhbu7u60b9+e4ODgfONwcHDAwcHBpF2r1cob7Q4ajUb6xIrKW3/r9Dp2H48lKfUKHs416ZDPU20nEs6yJmoza6MiiL94ytDuYGtPz9YdGRgUSq82nanqWMXa4Ze7/i7PpK+tS/rbWGH6oUiJU5UqVfjss8+YPXs2J0+eBKBJkyYWeTrN3t6eoKAgIiIiGDx4MKAmQhEREUyYMMFk/xYtWhAXF2fU9uabb5KWlsbHH39M/frGK5e7uLgA6oTxyMhIZsyYUeyYhRCm1sVsNa2H5OrBe0Mn41vPhzWRarJ06N/jhu12Nrb08O3AoKBQevt1obqTPPEqhChbivXYSdWqVfHz87NULAbh4eGMHDmS4OBgQkJCmD9/Punp6Yan7EaMGEHdunWZNWsWjo6OtG7d2uh4V1dXAKP2n3/+GXd3dxo0aEBcXBwvvvgigwcPpnfv3haPX4jKbl3MVsYumWqydMml60mMWTLVqM1Wa0PXliEMCg6lr39XXKpUt16gQghRSIUqgDljxgyqVq1632KYxS2AOXToUJKTk3n77bdJSEggICCADRs2GCaMnzt3rtDDi5cuXSI8PJzExETq1KnDiBEjZEFiIUqATq/jzZXz8l3v7U7dbidL/QK64VbVxSqxCSFEcRWqAGbufKa7i2HeSaPRFLitMCZMmJDvrTmAbdu23fPYZcuWmbRNnDiRiRMnWiAyIcS9rI/ZZnR7riAT+46kc/PiF8wVQghrKlIBzDv/XwghElMu80f0VtZGbWbPif1mHZOUeqWEoxJCCMuT0rpCiCJJTr1yO1mKYPeJ2AJLexTEw7lmCUUmhBAlp0iJ0/Tp0++5/e233y5SMEKIsu1y2jXWx2xjbVQEO49Fo1fyqu0GN27DwKCe9AvoxsDZz5JwPSnfeU4aoI6bJx18AqwVthBCWEyREqdVq1YZvc7Ozub06dPY2trSpEkTSZyEqECu3kjhf7HbWBO5mX+ORaPT6wzbAhu1YmBQTwYE9aRejbw6a+8NnczYJVPRgFHylDsDcsaQSSb1nIQQojwoUuKU3+Tw1NRUnn76aR5++OFiByWEKF3X01NZH/sXv0dF8PfRfUbJkl+DFoZkqWEtr3yPDwvswZfPzjKt4+TmyYwhkwgL7FHi1yCEECXBYnOcnJ2dmTZtGgMGDGD48OGWOq0QwkpSbqaxYf/frI2K4O8je8nW5Ri2tanfjIFBoQwIepBG7vXMOl9YYA/6+ne9b+VwIYQoTyw6OTwlJYWUlBRLnlIIUYLSbqXz5wE1Wdp2eA9ZOdmGba3qNjWMLDXxbFCk89tobaTkgBCiQilS4vTJJ58YvVYUhUuXLvHdd9/Rr18/iwQmhCgZNzLS2XhgB2ujIth6aDeZOVmGbc29GjMwqCcDg3riU7tR6QUphBBlVJESp3nz5hm91mq1uLu7M3LkSKZOnVrAUUKI0pKecZNNB//h96gIIg7uIiM707DNp3bD27fhetLCq3EpRimEEGVfkRKn06dPWzoOIYSF3czKICJuJ2uiNhMR9w+37kiWGnvUZ1BwKAODetLCq4nFKv4LIURFV6jE6datW0RERPDQQw8BMHXqVDIz834Y29raMn36dBwdHS0bpRCVnE6vY9exGI6fP4VP/cZ0bBaY7yTrW1kZbDm0i7VREWw8sINbWRmGbQ1r1TUkS771fCRZEkKIIihU4vTNN9+wbt06Q+L06aef4uvri5OTEwBHjx6lTp06TJ482fKRClFJrYvZavpYv6sH7w2dTFhgDzKyM9l2aA9rozbz54EdpGfeNOxXv2YdBgb1ZFBwKG3qN5dkSQghiqlQidMPP/zAK6+8YtS2fPlyGjdW50V8//33LFy4UBInISxkXcxWxi6ZalKBO+F6EmOWTKWjTwBx549xIyMvWapbo7ZhgndAw5aSLAkhhAUVKnE6ceIEbdq0Mbx2dHREq9UaXoeEhDB+/HjLRSdEJabT63hz5bx8ly3Jbdt1PBaAOq7ut5OlUNp6+0qyJIQQJaRQidP169eN5jQlJycbbdfr9UbbhRBFt/t4rNHtuYK8PyScUd0fNfojRgghRMko1E/aevXqcfDgwQK3HzhwgHr1zKsqLITIX7Yuh22H9zBn3Vdm7V+juqskTUIIYSWFGnHq378/b7/9NmFhYSZPzt26dYtp06YRFhZm0QCFqAxydDnsPBbN2qgI1sds42q6+RX4PZxrlmBkQggh7lSoxOn111/np59+onnz5kyYMIFmzZoBEB8fz6effkpOTg6vv/56iQQqREWTo8th1/EY1kZFsC5mG1dvXDdsq1ndjX4B3fjf7fb85jlpUBfN7eATYKWIhRBCFCpx8vT0ZOfOnTz//PO89tprKIr641yj0dCrVy8+++wzPD09SyRQISoCnV7HruOxrI3azLqYbVxJu2bYVqOqC2FtezAwqCcdfQKxtbGlR6v2jF0yFQ0YJU+5U79nDJkki+YKIYQVFbpyuLe3Nxs2bODq1aucOHECgKZNm1KjRg2LBydERaDT69hzYv/tkaWtJKdeNWyrUdWF/oHdGRjUk07N2mJrY/yRDAvswZfPzjKt4+TmyYwhkwgL7GGtyxBCCEERl1wBqFGjBiEhIZaMRYgKQ6fXsffkAdZGqslSUuoVwzbXKs70D+zGwKBQOjcPws7m3h/DsMAe9PXvalblcCGEECWryImTEMKYXq9n36kDrI2K4I/orSSmXDZsc63iTL+AbgwIepAuLdrdN1m6m43Whk7N2tLUtR4eHh7yFJ0QQpQSSZyEKAa9Xk/kqTh+j97C71FbSEjJq23m7FSNfgHdGBjUky4t2mFva1eKkQohhLAESZyEKCS9Xk/0mUOsjYzg9+gILl03Tpb6+ndlQFBPurUMkWRJCCEqGEmchDCDoijEnDnEmqgI/ojawoVriYZt1R2r0se/KwNvJ0sOdvalGKkQQoiSJImTqFR0eh27j8eSlHoFD+eadPAJKHCStZosHeb36C2sjYrgwtUEw7aqDlXo699FTZZatcfRzsFalyCEEKIUSeIkKo11MVtNH+t39eC9oZMNj/UrisL+c0dZG7mZ36O3cP7KJcO+VR2q0MfvAQYGhdLdV5IlIYSojMps4rRw4UJmz55NQkIC/v7+LFiwwKzyBytWrOCJJ55g0KBBrF692tB+48YNXnvtNVavXs2VK1fw9vZm4sSJPPfccyV4FaKsWBezlbFLpppU4E64nsTYJVN565EJXE1PYW1UBOcuXzRsr+LgRO82DzAwqCc9fDvgZO+IEEKIyqtMJk4rV64kPDycxYsX0759e+bPn0+fPn2Ij4/Hw8OjwOPOnDnDyy+/TJcuXUy2hYeHs2XLFr7//nsaNWrExo0b+c9//oOXlxcDBw4sycsRpUyn1/Hmynn5LluS2zb9t08NbU72jvT2y02WOlJFkiUhhBC3lcliMHPnzmXcuHGMGjWKVq1asXjxYqpUqcLSpUsLPEan0zFs2DCmTZtG48aNTbbv3LmTkSNH0r17dxo1asQzzzyDv78/e/fuLclLEWXA7uOxRrfnCtLRpy1fjJvJoY82sGTse4QF9pCkSQghhJEyN+KUlZVFVFQUU6dONbRptVpCQ0PZtWtXgcdNnz4dDw8PxowZw/bt2022d+rUibVr1zJ69Gi8vLzYtm0bx44dY968efmeLzMzk8zMTMPr1NRUQH0UXa/XF/XyKhS9Xo+iKGW6PxRFIfJUnFn7PvXAQMICuwOUyWsqD/1dkUh/W4/0tXVJf5sqTF+UucTp8uXL6HQ6k8WCPT09OXr0aL7H7Nixg6+++orY2NgCz7tgwQKeeeYZ6tWrh62tLVqtli+++IKuXbvmu/+sWbOYNm2aSXtycjIZGRnmX1AFptfrSUlJQVGUMlXJWlEUjiWeYdOhnWw89A/nrl68/0GAvd6GpKT7j0yVlrLa3xWV9Lf1SF9bl/S3qbS0NLP3LXOJU2GlpaUxfPhwvvjiC2rVqlXgfgsWLGD37t2sXbuWhg0b8vfffzN+/Hi8vLwIDQ012X/q1KmEh4cbXqemplK/fn3c3d1xdnYukWspb/R6PRqNBnd391L/8CmKwuELJ/gjegu/R2/lVNI5wzYHWzs0Gi0Z2Zn5HqsB6rh50Ldd9zK9/ltZ6u/KQPrbeqSvrUv625Sjo/nTMspc4lSrVi1sbGxITEw0ak9MTKR27dom+588eZIzZ84wYMAAQ1vukJutrS3x8fF4eXnx+uuvs2rVKsLCwgDw8/MjNjaWjz76KN/EycHBAQcH08fNtVqtvNHuoNFoSq1PFEXhyIUThjpLJxPzkiVHOwce9O3AwKBQQtt04q8jexm7RL39e+ckcc3t/84YMhm7clDluzT7uzKS/rYe6Wvrkv42Vph+KHOJk729PUFBQURERDB48GBATYQiIiKYMGGCyf4tWrQgLs54Dsubb75JWloaH3/8MfXr1ycjI4Ps7GyTjrGxsZF7vOXMncnS71FbOJF41rDNwdaenq07MiCoJ73adKaaY1XDtrDAHnz57CzTOk5unswYMslQx0kIIYS4lzKXOIFaOmDkyJEEBwcTEhLC/PnzSU9PZ9SoUQCMGDGCunXrMmvWLBwdHWndurXR8a6urgCGdnt7e7p168aUKVNwcnKiYcOG/PXXX3z77bfMnTvXqtcmCk9RFI5ePMnaqC38HhVhkiw96NuRgcGmydLdwgJ70Ne/q9mVw4UQQoi7lcnEaejQoSQnJ/P222+TkJBAQEAAGzZsMEwYP3fuXKGHF1esWMHUqVMZNmwYV69epWHDhrz//vtSALOMujNZ+iM6guMJpsnSgKAH6dXmAao7FZws3c1Ga0Pn5kElEbIQQohKQKMoSn51AcVdUlNTcXFxISUlRSaH36bX60lKSsLDw8Mi98nVZOkUa6Mi8k2Wevh2YGBQz0InSxWFpftb3Jv0t/VIX1uX9LepwvyOL5MjTqJyyU2Wfo/abJQs2dvaqSNLbR+kt1+XSpksCSGEKFskcRKlIi9ZiuB4whlDu72tHT1aqSNLkiwJIYQoayRxElZz9OIpfo+KYG0+yVL3Vu0NyZKzU7XSC1IIIYS4B0mcRJHo9Dp2HYvh+PlT+NRvTMdmgfk+nRZ/8TRrozbze/QWjl06bWjPTZYGtO1JH39JloQQQpQPkjiJQlsXs9W0HpKrB+8NnUxYYA/iL57m92h1ZOnuZKlbyxAGBoVKsiSEEKJcksRJFMq6mK2MXTKVux/FvHQ9iTFLpuLl5snFa3lV3+1sbNWRpaCe9PHrgkuV6tYNWAghhLAgSZyE2XR6HW+unGeSNN3p4rVEbLU2dL9dOkCSJSGEEBWJJE7CbLuPxxrdnivI0uc+oLffA1aISAghhLAuSZzEfeXOWfp+xxqz9k/PvFnCEQkhhBClQxInka/c0gF3Pw1nDg/nmiUUlRBCCFG6JHESBgXVWbKzsaVbq/Y8FNiD/65ZTGLK5XznOWmAOm6edPAJsFLEQgghhHVJ4lSJ5a4N93v0lnwreHdrGWLyNFx1p6qMXTIVDRglT5rb/50xZFK+9ZyEEEKIikASp0rmXgvpmlNnKSywB18+O8u0jpObJzOGTCIssIdVrkMIIYQoDZI4VQJqsnSStVFb8k2WClvBOyywB339u5pVOVwIIYSoSCRxqqDykqUIfo/awolE42SpR6sODAh6sMhrw9lobejUrC1NXevh4eGBVqu1ZPhCCCFEmSSJUwWiKApHLpy4PWfJ8smSEEIIUdlJ4lTO5SZLa2+XDjiZeM6wzcHWnh6+HRjQVk2WqjtVLcVIhRBCiPJPEqdySFEUDl84YaizJMmSEEIIYR2SOJUynV7H7uOxJKVewcO5Jh18AvKdZJ2bLK2N3Mzv0Vs4lXTesM3B1p4HfTsyIOhBerV5QJIlIYQQooRI4lSK1sVsNX2s39WD94ZOJiywB4qicOjf44aRJUmWhBBCiNIliVMpWRezlbFLpppU4E64nsSYJVPpH9CdIxdOcDr5X8M2B1t7erbuyICgnvRq05lqjpIsCSGEENYkiVMp0Ol1vLlyXr7LluS2rY/dBoCjnQMP+naQZEkIIYQoAyRxKgW7j8ca3Z4ryOT+oxnfe5gkS0IIIUQZIVULS0FS6hWz9mtWp5EkTUIIIUQZIolTKfBwrmnR/YQQQghhHZI4lYIOPgHUcfVAU8B2DeDl5kkHnwArRiWEEEKI+5HEqRTYaG14b+hkAJPkKff1jCGTZNFcIYQQoowps4nTwoULadSoEY6OjrRv3569e/eaddyKFSvQaDQMHjzYqF2j0eT7NXv27BKI/v7CAnvw5bOzqO3qYdRex82TL5+dRVhgj1KJSwghhBAFK5NP1a1cuZLw8HAWL15M+/btmT9/Pn369CE+Ph4PD48Cjztz5gwvv/wyXbp0Mdl26dIlo9f/+9//GDNmDP/3f/9n8fjNFRbYg77+Xc2qHC6EEEKI0lcmE6e5c+cybtw4Ro0aBcDixYtZt24dS5cu5bXXXsv3GJ1Ox7Bhw5g2bRrbt2/n+vXrRttr165t9HrNmjX06NGDxo0bl8g1mMtGa0Pn5kGlGoMQQgghzFPmEqesrCyioqKYOnWqoU2r1RIaGsquXbsKPG769Ol4eHgwZswYtm/ffs/vkZiYyLp16/jmm28K3CczM5PMzEzD69TUVAD0ej16vd7cy6nQ9Ho9iqJIf1iJ9Ld1SX9bj/S1dUl/mypMX5S5xOny5cvodDo8PT2N2j09PTl69Gi+x+zYsYOvvvqK2NhYs77HN998Q/Xq1XnkkUcK3GfWrFlMmzbNpD05OZmMjAyzvk9Fp9frSUlJQVEUtNoyO12uwpD+ti7pb+uRvrYu6W9TaWlpZu9b5hKnwkpLS2P48OF88cUX1KpVy6xjli5dyrBhw3B0dCxwn6lTpxIeHm54nZqaSv369XF3d8fZ2bnYcVcEer0ejUaDu7u7fPisQPrbuqS/rUf62rqkv03dKx+4W5lLnGrVqoWNjQ2JiYlG7YmJiSbzlABOnjzJmTNnGDBggKEtd8jN1taW+Ph4mjRpYti2fft24uPjWbly5T3jcHBwwMHBwaRdq9XKG+0OGo1G+sSKpL+tS/rbeqSvrUv621hh+qHM9Zi9vT1BQUFEREQY2vR6PREREXTs2NFk/xYtWhAXF0dsbKzha+DAgfTo0YPY2Fjq169vtP9XX31FUFAQ/v7+JX4tQgghhKhYytyIE0B4eDgjR44kODiYkJAQ5s+fT3p6uuEpuxEjRlC3bl1mzZqFo6MjrVu3Njre1dUVwKQ9NTWVn3/+mTlz5ljlOoQQQghRsZTJxGno0KEkJyfz9ttvk5CQQEBAABs2bDBMGD937lyRhhdXrFiBoig88cQThT5WURQg7+k6oY4EpqWl4ejoKMO9ViD9bV3S39YjfW1d0t+mcn+35/6uvxeNYs5egn///dfktp8QQgghKo7z589Tr169e+4jiZOZ9Ho9Fy9epHr16mg0BS3PW7nkPml4/vx5edLQCqS/rUv623qkr61L+tuUoiikpaXh5eV131G4MnmrrizSarX3zUIrK2dnZ/nwWZH0t3VJf1uP9LV1SX8bc3FxMWs/ubkphBBCCGEmSZyEEEIIIcwkiZMoMgcHB9555518C4UKy5P+ti7pb+uRvrYu6e/ikcnhQgghhBBmkhEnIYQQQggzSeIkhBBCCGEmSZyEEEIIIcwkiZMA4O+//2bAgAF4eXmh0WhYvXq12cf+888/2NraEhAQYLLtwoULPPXUU9SsWRMnJyfatGlDZGSk5QIvp0qiv3U6HW+99Rbe3t44OTnRpEkTZsyYYdYSAhVdYft727ZtaDQak6+EhASj/RYuXEijRo1wdHSkffv27N27twSvovwoif6eNWsW7dq1o3r16nh4eDB48GDi4+NL+ErKvpJ6b+f673//i0ajYdKkSZYPvpySxEkAkJ6ejr+/PwsXLizUcdevX2fEiBH07NnTZNu1a9fo3LkzdnZ2/O9//+Pw4cPMmTMHNzc3S4VdbpVEf3/wwQcsWrSITz/9lCNHjvDBBx/w4YcfsmDBAkuFXW4Vtb/j4+O5dOmS4cvDw8OwbeXKlYSHh/POO+8QHR2Nv78/ffr0ISkpydLhlzsl0d9//fUX48ePZ/fu3WzatIns7Gx69+5Nenq6pcMvV0qir3Pt27ePJUuW4OfnZ6lwKwZFiLsAyqpVq8zad+jQocqbb76pvPPOO4q/v7/RtldffVV54IEHLB9gBWOp/g4LC1NGjx5t1PbII48ow4YNs1CkFYM5/b1161YFUK5du1bgPiEhIcr48eMNr3U6neLl5aXMmjXLQpFWDJbq77slJSUpgPLXX38VL8AKxJJ9nZaWpvj4+CibNm1SunXrprz44osWi7O8kxEnUWRff/01p06d4p133sl3+9q1awkODuaxxx7Dw8ODwMBAvvjiCytHWXHcr787depEREQEx44dA2D//v3s2LGDfv36WTPMCiUgIIA6derQq1cv/vnnH0N7VlYWUVFRhIaGGtq0Wi2hoaHs2rWrNEKtEArq7/ykpKQAUKNGDWuEVuHcr6/Hjx9PWFiY0XtcqGStOlEkx48f57XXXmP79u3Y2ub/Njp16hSLFi0iPDyc119/nX379jFx4kTs7e0ZOXKklSMu38zp79dee43U1FRatGiBjY0NOp2O999/n2HDhlk52vKvTp06LF68mODgYDIzM/nyyy/p3r07e/bsoW3btly+fBmdToenp6fRcZ6enhw9erSUoi6/7tffd9Pr9UyaNInOnTvTunXrUoi4/DKnr1esWEF0dDT79u0r5WjLJkmcRKHpdDqefPJJpk2bRrNmzQrcT6/XExwczMyZMwEIDAzk4MGDLF68WBKnQjC3v3/66Sd++OEHli9fjq+vL7GxsUyaNAkvLy/p70Jq3rw5zZs3N7zu1KkTJ0+eZN68eXz33XelGFnFVNj+Hj9+PAcPHmTHjh3WDLNCuF9fnz9/nhdffJFNmzbh6OhYipGWXZI4iUJLS0sjMjKSmJgYJkyYAKhJkqIo2NrasnHjRh588EHq1KlDq1atjI5t2bIlv/76a2mEXW6Z299Tpkzhtdde4/HHHwegTZs2nD17llmzZkniZAEhISGGX9S1atXCxsaGxMREo30SExOpXbt2aYRX4dzZ33eaMGECf/zxB3///Tf16tUrhcgqnjv7OioqiqSkJKORPp1Ox99//82nn35KZmYmNjY2pRVqmSCJkyg0Z2dn4uLijNo+++wztmzZwi+//IK3tzcAnTt3Nnlc+NixYzRs2NBqsVYE5vb3zZs30WqNpy3a2Nig1+utFmtFFhsbS506dQCwt7cnKCiIiIgIBg8eDKjJbEREhCG5FcVzZ38DKIrCCy+8wKpVq9i2bZvhfS+K786+7tmzp8nPm1GjRtGiRQteffXVSp80gSRO4rYbN25w4sQJw+vTp08TGxtLjRo1aNCgAVOnTuXChQt8++23aLVak3kFHh4eODo6GrVPnjyZTp06MXPmTIYMGcLevXv5/PPP+fzzz612XWVVSfT3gAEDeP/992nQoAG+vr7ExMQwd+5cRo8ebbXrKqsK098A8+fPx9vbG19fXzIyMvjyyy/ZsmULGzduNJwjPDyckSNHEhwcTEhICPPnzyc9PZ1Ro0ZZ/frKmpLo7/Hjx7N8+XLWrFlD9erVDXWHXFxccHJysu4FliGW7uvq1aub/LypWrUqNWvWlPlkuUr5qT5RRuQ+onr318iRIxVFUZSRI0cq3bp1K/D4/B6PVxRF+f3335XWrVsrDg4OSosWLZTPP/+8ZC6gnCmJ/k5NTVVefPFFpUGDBoqjo6PSuHFj5Y033lAyMzNL7kLKicL29wcffKA0adJEcXR0VGrUqKF0795d2bJli8l5FyxYoDRo0ECxt7dXQkJClN27d1vpisq2kujv/M4HKF9//bX1LqwMKqn39p2kHIExjaJIWWEhhBBCCHNIHSchhBBCCDNJ4iSEEEIIYSZJnIQQQgghzCSJkxBCCCGEmSRxEkIIIYQwkyROQgghhBBmksRJCCGEEMJMkjgJIYQQQphJEichhLCAd999l4CAgNIOw0Cj0bB69epCHfP0009TtWpVJk6cWKjj3nrrLZ555plCHVMUixcvZsCAASX+fYS4F0mchCglTz/9NBqNxuTrznWnhLgfSyZsH3/8MUuXLuXTTz9l165dZh2TkJDAxx9/zBtvvGGRGO5l9OjRREdHs3379hL/XkIURBInIUpR3759uXTpktFXfqu+Z2VllUJ0orJxcXFh6NChdO3ale+++86sY7788ks6depEw4YNSzg6sLe358knn+STTz4p8e8lREEkcRKiFDk4OFC7dm2jLxsbG7p3786ECROYNGkStWrVok+fPgAcPHiQfv36Ua1aNTw9PRk+fDiXL182nE+v1zNr1iy8vb1xcnLC39+fX3755Z4xnD17lgEDBuDm5kbVqlXx9fVl/fr1AGzbtg2NRsO6devw8/PD0dGRDh06cPDgQcPxV65c4YknnqBu3bpUqVKFNm3a8OOPPxp9D71ez4cffkjTpk1xcHCgQYMGvP/++4bt58+fZ8iQIbi6ulKjRg0GDRrEmTNnCow5ODiYjz76yPB68ODB2NnZcePGDQD+/fdfo9G77777juDgYKpXr07t2rV58sknSUpKMsRWr149/r+9+w+KqmrjAP5dNGAXRENIEX/sQAqLQyjMpGjKroLQKAmpQ0ANETjZOCKIP3LS1NCkLEIcU1NyNVnRkj9QEUgDQsEkxbXk94KgDeaIlCAu4PK8f/jufb2y4I6l1rzPZ4aZveece85z77Kzz5xzdnfHjh2iMcrLy2FhYYHGxkYAwB9//IHY2Fg4OjrCzs4OM2bMgFar7ffe7tmzBwqFAtbW1nB3d8eXX34p1F25cgUSiQRZWVlQqVSQyWTw8vLqNdOze/dujBo1CjKZDKGhoUhJScGQIUMAAGq1Ghs2bIBWqxVmLNVqtXDuzZs3ERoaCplMhrFjxyI7O7vfeI0mT56Mw4cPo7u7+5FtMzMzey2fyeVypKamisomTJiA9evXC8cSiQS7du3CnDlzIJPJoFAoUFpairq6OiiVStjY2GDKlCnQ6XSifoKDg5GdnY27d++adS2M/e2e9a8MM/b/KioqiubOnWuyzs/Pj2xtbWnFihVUVVVFVVVV1NraSo6OjrR69WqqrKykCxcuUEBAAKlUKuG8jRs3kru7O+Xm5pJOp6O9e/eSlZUVFRYW9hnH7NmzKSAggC5dukQ6nY6OHj1KRUVFRPS/X15XKBSUn59Ply5dojlz5pBcLqeuri4iIrp27Rpt2bKFysvLSafTUVpaGg0YMIB++uknYYyVK1fS888/T2q1murq6qi4uJh2795NRERdXV2kUCjonXfeoUuXLlFFRQVFRESQm5sbdXZ2mox52bJlNHv2bCIi6unpIXt7e3JwcKATJ04QEdGBAwfI2dlZaJ+enk45OTmk0+motLSUfH196dVXXxXqly9fTq+88opojMTERFGZv78/BQcHU1lZGdXU1FBiYiINHTqUWlpaiIho3bp15OXlJbQ/cOAAOTk50ZEjR6i+vp6OHDlC9vb2pFariYiooaGBAJC7uzsdO3aMqquraf78+TRmzBjq7u4mIqLTp0+ThYUFbdmyhaqrq2n79u1kb29PgwcPJiKijo4OSkxMpPHjx1NzczM1NzdTR0cHEREBoJEjR5JGo6Ha2lqKi4sjW1tbId6+dHd3k7OzMwGg7Ozsftu2tLSQRCKhs2fPisrHjBlDX3zxhajMy8uL1q1bJxwDIGdnZzp06BBVV1dTSEgIyeVymjFjBuXm5lJFRQVNnjyZgoKCRP3cuXOHLCwsqKCgoN/YGHtSOHFi7BmJioqiAQMGkI2NjfA3f/58IrqfOE2cOFHUPikpiWbNmiUqu3r1KgGg6upq0uv1JJPJqKSkRNQmJiaGwsPD+4zD09OT1q9fb7LOmDhlZmYKZS0tLSSVSunQoUN99jl79mxKTEwkIqLbt2+TlZWVkCg97JtvviE3Nzfq6ekRyjo7O0kqlVJeXp7Jc7Kzs2nw4MF07949unjxIg0fPpyWLl1Kq1atIiKi2NhYioiI6DO+srIyAkBtbW1ERFReXk4SiYQaGxuJiMhgMJCzszPt2LGDiIiKi4vJzs6O9Hq9qB9XV1fatWsXEfVOnFxdXUmj0YjaJyUlka+vLxH9L3Has2ePUH/58mUCQJWVlUREFBYWJiSIRpGRkULiZGpcIwC0Zs0a4bi9vZ0ACMllXzQaDdna2tLMmTMpLCys37bl5eUEgJqamkTl5iZOD8ZXWlpKACg9PV0oO3jwIFlbW/ca15iEM/YsDHwGk1yMsf9SqVSiJSIbGxvhsY+Pj6itVqtFQUEBbG1te/Wj0+nQ3d2Njo4OBAQEiOq6urowceJEAMD48eOFpadp06bhxIkTiIuLw3vvvYf8/Hz4+/tj3rx5eOmll0R9+Pr6Co/t7e3h5uaGyspKAIDBYMDHH3+Mw4cP47fffkNXVxc6Ozshk8kAAJWVlejs7MTMmTNN3gOtVou6ujoMGjRIVK7X63st0xhNmzYNbW1tKC8vR0lJCfz8/KBUKpGcnAwAKCoqwooVK4T258+fx/r166HVatHa2oqenh4AQFNTEzw8PDBhwgQoFApoNBq8//77KCoqwo0bN7BgwQIhxvb2dgwdOlQUx927d03GeOfOHeh0OsTExGDhwoVC+b179zB48GBR2wfvtZOTEwDgxo0bcHd3R3V1NUJDQ0XtX375ZRw7dszkfXnYg33b2NjAzs5OWKLsy9atWxEdHQ2VSoXIyEi0tbX1em6MjMtl1tbWZsXTX3zDhg0DAHh6eorK9Ho9bt++DTs7O6FcKpWio6PjscZk7K/ixImxZ8jGxgYvvvhin3UPam9vR3BwMD755JNebZ2cnIR9R8ePH4ezs7Oo3srKCgCQk5Mj7FuRSqUAgNjYWAQGBuL48ePIz8/H5s2b8fnnn2PJkiVmXcOWLVuwdetWpKamwtPTEzY2NoiPjxc2tBvH6Ut7ezt8fHyQkZHRq87R0dHkOUOGDIGXlxcKCwtRWlqKgIAATJ8+HWFhYaipqUFtbS38/PwA3E9iAgMDERgYiIyMDDg6OqKpqQmBgYGiTfeRkZFC4qTRaBAUFCQkSu3t7XByckJhYaHJWExdE3B/f9KkSZNEdQMGDBAdP/fcc8JjiUQCAEJi91c92Lex//76Li0tRVlZGTQaDUaOHAmpVIqsrCxERUWZbO/g4AAAaG1t7fO5MjIYDP3GZ7x2c+7HrVu3HjkeY08KJ06M/Ut4e3vjyJEjkMvlGDiw90vXw8MDVlZWaGpqEpKGh/X1yadRo0Zh0aJFWLRoEVavXo3du3eLEqezZ89i9OjRAO6/SdbU1EChUAAAzpw5g7lz5+LNN98EcP9NrqamBh4eHgCAsWPHQiqV4tSpU4iNjTV5XYcOHcILL7wgmlV4FD8/PxQUFODcuXPYtGkT7O3toVAosGnTJjg5OWHcuHEAgKqqKrS0tCA5ORmjRo0CAPz888+9+ouIiMCaNWtw/vx5fPfdd9i5c6coxuvXr2PgwIGQy+WPjG3YsGEYMWIE6uvrERkZafY1PczNzQ1lZWWisoePLS0tTSYljyM1NRUhISFwcXEBACxYsAAHDhzoM3FydXWFnZ0dKioqhPtt9PvvvwuPu7u7cfXq1b8lRp1OB71eL8yiMva08afqGPuXWLx4MW7duoXw8HCUlZVBp9MhLy8P0dHRMBgMGDRoEJYvX46EhATs27cPOp0OFy5cwLZt27Bv374++42Pj0deXh4aGhpw4cIFFBQUCEmR0UcffYRTp07h119/xdtvvw0HBweEhIQAuJ8Yff/99ygpKUFlZSXeffdd0ZumtbU1Vq1ahZUrV2L//v3Q6XQ4e/Ys0tPTAdyf6XFwcMDcuXNRXFyMhoYGFBYWIi4uDteuXeszbqVSiby8PAwcOBDu7u5CWUZGhihxHD16NCwtLbFt2zbU19cjOzsbSUlJvfqTy+WYMmUKYmJiYDAY8Nprrwl1/v7+8PX1RUhICPLz83HlyhWUlJTggw8+MJmEAcCGDRuwefNmpKWloaamBr/88gv27t2LlJSUPq/pYUuWLEFOTg5SUlJQW1uLXbt24cSJE8JMjDHuhoYGXLx4ETdv3kRnZ6fZ/T/o6tWryMrKwrJly4Syt956Cz/88AOam5tNnmNhYQF/f3+cPn26V93XX3+NkydPora2FgkJCfjzzz+h0+lE/xuPo7i4GC4uLnB1df1L/TD2uDhxYuxfYsSIEThz5gwMBgNmzZoFT09PxMfHY8iQIbCwuP9STkpKwtq1a7F582YoFAoEBQXh+PHjJr8byshgMGDx4sVC+3Hjxok+Ng8AycnJWLp0KXx8fHD9+nUcPXoUlpaWAIA1a9bA29sbgYGBUCqVGD58uJBUGa1duxaJiYn48MMPoVAoEBYWJuy1kclk+PHHHzF69Gi8/vrrUCgUiImJgV6v73cGatq0aejp6RElSUqlEgaDAUqlUihzdHSEWq3Gt99+Cw8PDyQnJ4u+yuBBkZGR0Gq1CA0NFS0xSiQS5OTkYPr06YiOjsa4cePwxhtvoLGxUdib87DY2Fjs2bMHe/fuhaenJ/z8/KBWq/t9Lh42depU7Ny5EykpKfDy8kJubi4SEhJEe4rmzZuHoKAgqFQqODo69voqCHNt374d3t7emDp1qmh8uVzeb5+xsbHIzMzstZwWHByMuLg4eHp64tatW9i4cSOysrJw8uTJx4rP6ODBg6J9Y4w9bRIiomcdBGPsn6mwsBAqlQqtra0m9/Kwp2/hwoWoqqr6x3x7NhFh0qRJSEhIQHh4OID7s2Dx8fGIj4//W8e6fPkyZsyYgZqaml6b7Bl7WnjGiTHG/sE+++wz4ZOHxmXXvvYcPQsSiQRfffUV7t2798THam5uxv79+zlpYs8Ubw5njLF/sHPnzuHTTz9FW1sbXFxckJaWZnKT/bM0YcKEp/IDx/7+/k98DMYehZfqGGOMMcbMxEt1jDHGGGNm4sSJMcYYY8xMnDgxxhhjjJmJEyfGGGOMMTNx4sQYY4wxZiZOnBhjjDHGzMSJE2OMMcaYmThxYowxxhgzEydOjDHGGGNm+g+RHU92tH8nhAAAAABJRU5ErkJggg==",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lambda_g = 2 * np.pi / beta\n",
    "\n",
    "modes_to_plot = [0, 1]\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(6, 4))\n",
    "\n",
    "for m in modes_to_plot:\n",
    "    ax.plot(lam_mode, lambda_g[:, m], marker=\"o\", label=f\"Mode {m}\")\n",
    "\n",
    "ax.set_xlabel(\"Free-space wavelength λ (µm)\")\n",
    "ax.set_ylabel(r\"Guided wavelength $\\lambda_g$ (µm)\")\n",
    "ax.set_title(r\"Guided wavelength $\\lambda_g = 2\\pi/\\beta$ vs free-space $\\lambda$\")\n",
    "ax.legend()\n",
    "ax.grid(True, alpha=0.3)\n",
    "\n",
    "fig.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d44b71f9",
   "metadata": {},
   "source": [
    "## 5. Choosing the Perturbation Period and Building the Perturbed Bar\n",
    "\n",
    "The guided-mode calculation tells us how rapidly the phase of a supported mode accumulates along the bar. At a target free-space wavelength near \\(1.5\\) µm, the corresponding guided wavelength \\(\\lambda_g\\) sets the longitudinal scale needed to couple incident light into that mode.\n",
    "\n",
    "We now use that result to choose the period of a weak structural perturbation. In practice, we introduce a shallow notch and repeat it periodically along the \\(y\\) direction. This perturbation breaks the translational symmetry of the unperturbed bar and supplies the momentum needed to phase-match normally incident light into the guided mode.\n",
    "\n",
    "To verify that this mechanism works, we first simulate a single perturbed bar in a 3D periodic cell. This isolates the resonance physics before we later return to the full phase-gradient metasurface.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "59f29a38",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Closest λ in grid: 1.5000 µm\n",
      "Guided wavelength λ_g for mode 1 at λ ≈ 1.5000 µm: 0.5195 µm\n",
      "Based on the mode analysis, we choose a perturbation period of approximately 519 nm to couple free-space light into the selected guided mode.\n"
     ]
    }
   ],
   "source": [
    "lam_target = 1.50\n",
    "i0 = np.argmin(np.abs(lam_mode - lam_target))\n",
    "\n",
    "mode_index_target = 1\n",
    "lambda_g_target = lambda_g[i0, mode_index_target]\n",
    "\n",
    "print(f\"Closest λ in grid: {lam_mode[i0]:.4f} µm\")\n",
    "print(\n",
    "    f\"Guided wavelength λ_g for mode {mode_index_target} at λ ≈ {lam_mode[i0]:.4f} µm: \"\n",
    "    f\"{lambda_g_target:.4f} µm\"\n",
    ")\n",
    "print(\n",
    "    f\"Based on the mode analysis, we choose a perturbation period of approximately \"\n",
    "    f\"{lambda_g_target * 1000:.0f} nm to couple free-space light into the selected guided mode.\"\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d6c54b6a",
   "metadata": {},
   "source": [
    "We now transition from the 2D phase-gradient picture to a 3D periodic simulation of a weakly perturbed bar. The unit cell is periodic in both \\(x\\) and \\(y\\): periodicity in \\(x\\) preserves the original metasurface period, while periodicity in \\(y\\) represents the repeated notch perturbation used to excite the guided mode.\n",
    "\n",
    "The notch is designed to be weak, so that it enables coupling to the guided mode without strongly distorting the underlying bar geometry. This weak coupling is what allows the resonant leakage rate to remain small, leading to a narrow linewidth and a high quality factor.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "52f3daff",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Chosen perturbation period p_notch = 0.5195 µm\n",
      "Grid step dl = 14.1 nm\n"
     ]
    }
   ],
   "source": [
    "w_bar = w3\n",
    "p_notch = float(lambda_g_target)\n",
    "\n",
    "w_notch = 0.15 * um\n",
    "d_notch = 0.15 * um\n",
    "\n",
    "wl_center = 1.50 * um\n",
    "wl_band = 0.06 * um\n",
    "wl_min = wl_center - wl_band / 2\n",
    "wl_max = wl_center + wl_band / 2\n",
    "\n",
    "freq0_3d = td.C_0 / wl_center\n",
    "fwidth_3d = 0.5 * (td.C_0 / wl_min - td.C_0 / wl_max)\n",
    "\n",
    "num_freqs_3d = 1001\n",
    "monitor_freqs_3d = np.linspace(td.C_0 / wl_max, td.C_0 / wl_min, num_freqs_3d)\n",
    "monitor_lambdas_3d = td.C_0 / monitor_freqs_3d\n",
    "\n",
    "dl_3d = wl_min / (30 * np.sqrt(si.permittivity))\n",
    "run_time_3d = 50e-12\n",
    "\n",
    "print(f\"Chosen perturbation period p_notch = {p_notch:.4f} µm\")\n",
    "print(f\"Grid step dl = {dl_3d * 1000:.1f} nm\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "72acfe53",
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_notched_bar_sim(\n",
    "    w_bar,\n",
    "    p_notch,\n",
    "    w_notch=0.15 * um,\n",
    "    d_notch=0.10 * um,\n",
    "    dl=dl_3d,\n",
    "    freqs=monitor_freqs_3d,\n",
    "):\n",
    "    bar = td.Structure(\n",
    "        geometry=td.Box(\n",
    "            center=(0, 0, h_bar / 2),\n",
    "            size=(w_bar, td.inf, h_bar),\n",
    "        ),\n",
    "        medium=si,\n",
    "        name=\"bar\",\n",
    "    )\n",
    "\n",
    "    substrate = td.Structure(\n",
    "        geometry=td.Box(\n",
    "            center=(0, 0, -sub_t / 2),\n",
    "            size=(td.inf, td.inf, sub_t),\n",
    "        ),\n",
    "        medium=sapphire,\n",
    "        name=\"substrate\",\n",
    "    )\n",
    "\n",
    "    notch = td.Structure(\n",
    "        geometry=td.Box(\n",
    "            center=(w_bar / 2 - d_notch / 2, 0, h_bar / 2),\n",
    "            size=(d_notch, w_notch, h_bar),\n",
    "        ),\n",
    "        medium=air,\n",
    "        name=\"notch\",\n",
    "    )\n",
    "\n",
    "    source_3d = td.PlaneWave(\n",
    "        source_time=td.GaussianPulse(freq0=freq0_3d, fwidth=fwidth_3d),\n",
    "        size=(td.inf, td.inf, 0),\n",
    "        center=(0, 0, -2.0),\n",
    "        direction=\"+\",\n",
    "        pol_angle=0,\n",
    "        name=\"planewave\",\n",
    "    )\n",
    "\n",
    "    T_monitor_3d = td.FluxMonitor(\n",
    "        center=(0, 0, 3.0),\n",
    "        size=(td.inf, td.inf, 0),\n",
    "        freqs=freqs,\n",
    "        name=\"Transmission\",\n",
    "    )\n",
    "\n",
    "    R_monitor_3d = td.FluxMonitor(\n",
    "        center=(0, 0, -3.0),\n",
    "        size=(td.inf, td.inf, 0),\n",
    "        freqs=freqs,\n",
    "        name=\"Reflection\",\n",
    "    )\n",
    "\n",
    "    xz_field_3d = td.FieldMonitor(\n",
    "        center=(0, 0, 0),\n",
    "        size=(td.inf, 0, 3.0),\n",
    "        fields=[\"Ex\", \"Ey\", \"Ez\", \"Hx\", \"Hy\", \"Hz\"],\n",
    "        freqs=freqs,\n",
    "        name=\"xz_field\",\n",
    "        colocate=True,\n",
    "    )\n",
    "\n",
    "    xy_field_3d = td.FieldMonitor(\n",
    "        center=(0, 0, h_bar / 2),\n",
    "        size=(td.inf, td.inf, 0),\n",
    "        fields=[\"Ex\", \"Ey\", \"Ez\", \"Hx\", \"Hy\", \"Hz\"],\n",
    "        freqs=freqs,\n",
    "        name=\"xy_field\",\n",
    "        colocate=True,\n",
    "    )\n",
    "\n",
    "    yz_field_3d = td.FieldMonitor(\n",
    "        center=(0, 0, 0),\n",
    "        size=(0, td.inf, 3.0),\n",
    "        fields=[\"Ex\", \"Ey\", \"Ez\", \"Hx\", \"Hy\", \"Hz\"],\n",
    "        freqs=freqs,\n",
    "        name=\"yz_field\",\n",
    "        colocate=True,\n",
    "    )\n",
    "\n",
    "    sim_3d = td.Simulation(\n",
    "        center=(0, 0, 0),\n",
    "        size=(p_bar, p_notch, sub_t + h_bar + 2 * pml_t),\n",
    "        grid_spec=td.GridSpec.uniform(dl=dl),\n",
    "        structures=[bar, substrate, notch],\n",
    "        sources=[source_3d],\n",
    "        monitors=[T_monitor_3d, R_monitor_3d, xz_field_3d, xy_field_3d, yz_field_3d],\n",
    "        run_time=run_time_3d,\n",
    "        shutoff=1e-7,\n",
    "        boundary_spec=td.BoundarySpec(\n",
    "            x=td.Boundary.periodic(),\n",
    "            y=td.Boundary.periodic(),\n",
    "            z=td.Boundary.pml(),\n",
    "        ),\n",
    "        symmetry=(0, 0, 0),\n",
    "        medium=air,\n",
    "    )\n",
    "\n",
    "    return sim_3d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "8319bcef",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'cross section at z=0.10 (μm)'}, xlabel='x (μm)', ylabel='y (μm)'>"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_3d = make_notched_bar_sim(\n",
    "    w_bar=w_bar,\n",
    "    p_notch=p_notch,\n",
    "    w_notch=w_notch,\n",
    "    d_notch=d_notch,\n",
    ")\n",
    "\n",
    "sim_3d.plot_eps(z=0.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "36a1623a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:16:04 -03 </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Simulation has </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1.87e+06</span><span style=\"color: #800000; text-decoration-color: #800000\"> time steps. The </span><span style=\"color: #008000; text-decoration-color: #008000\">'run_time'</span><span style=\"color: #800000; text-decoration-color: #800000\"> may be </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">unnecessarily large, unless there are very long-lived resonances.  </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:16:04 -03\u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING: Simulation has \u001b[0m\u001b[1;36m1.87e+06\u001b[0m\u001b[31m time steps. The \u001b[0m\u001b[32m'run_time'\u001b[0m\u001b[31m may be \u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[31munnecessarily large, unless there are very long-lived resonances.  \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:16:05 -03 </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'3d_notched_bar'</span> with resource_id                     \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-ab8f044f-d1c4-4482-a4e7-e1e030ad7d5c'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:16:05 -03\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'3d_notched_bar'\u001b[0m with resource_id                     \n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'fdve-ab8f044f-d1c4-4482-a4e7-e1e030ad7d5c'\u001b[0m and task_type \u001b[32m'FDTD'\u001b[0m.  \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>View task using web UI at                                          \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-ab8f044f-d1c4-4482-a4e7-e1e030ad7d5c\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-ab8f044f-d1c</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-ab8f044f-d1c4-4482-a4e7-e1e030ad7d5c\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">4-4482-a4e7-e1e030ad7d5c'</span></a>.                                         \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                                          \n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=399418;https://tidy3d.simulation.cloud/workbench?taskId=fdve-ab8f044f-d1c4-4482-a4e7-e1e030ad7d5c\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=174448;https://tidy3d.simulation.cloud/workbench?taskId=fdve-ab8f044f-d1c4-4482-a4e7-e1e030ad7d5c\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=399418;https://tidy3d.simulation.cloud/workbench?taskId=fdve-ab8f044f-d1c4-4482-a4e7-e1e030ad7d5c\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=948260;https://tidy3d.simulation.cloud/workbench?taskId=fdve-ab8f044f-d1c4-4482-a4e7-e1e030ad7d5c\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=399418;https://tidy3d.simulation.cloud/workbench?taskId=fdve-ab8f044f-d1c4-4482-a4e7-e1e030ad7d5c\u001b\\\u001b[32m-ab8f044f-d1c\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=399418;https://tidy3d.simulation.cloud/workbench?taskId=fdve-ab8f044f-d1c4-4482-a4e7-e1e030ad7d5c\u001b\\\u001b[32m4-4482-a4e7-e1e030ad7d5c'\u001b[0m\u001b]8;;\u001b\\.                                         \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/folder-431883bc-afbb-4cc8-a95f-ddfeaeeb059a\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=254081;https://tidy3d.simulation.cloud/folders/folder-431883bc-afbb-4cc8-a95f-ddfeaeeb059a\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\.                                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c18f7d56644543acb21c29391626d8c2",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:16:08 -03 </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.814</span>. Minimum cost depends on task     \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>execution details. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed  \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>FlexCredit cost after a simulation run.                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:16:08 -03\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.814\u001b[0m. Minimum cost depends on task     \n",
       "\u001b[2;36m             \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed  \n",
       "\u001b[2;36m             \u001b[0mFlexCredit cost after a simulation run.                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:16:10 -03 </span>status = queued                                                    \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:16:10 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                    \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or              \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the web UI.      \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Terminating the Python script will not stop the job running on the \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>cloud.                                                             \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mTo cancel the simulation, use \u001b[32m'web.abort\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or              \n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'web.delete\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or abort/delete the task in the web UI.      \n",
       "\u001b[2;36m             \u001b[0mTerminating the Python script will not stop the job running on the \n",
       "\u001b[2;36m             \u001b[0mcloud.                                                             \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "dedbd035c2b94571a3d14a0f0aff4d38",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:16:14 -03 </span>status = preprocess                                                \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:16:14 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess                                                \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:16:19 -03 </span>starting up solver                                                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:16:19 -03\u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                                 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:16:20 -03 </span>running solver                                                     \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:16:20 -03\u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                     \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "860023b5ab844464a140334609e35bed",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:23:33 -03 </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">79</span>%, exiting.                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:23:33 -03\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected at \u001b[1;36m79\u001b[0m%, exiting.                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>status = postprocess                                               \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                               \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "0054a32dba7240cf8ef49f7ae9c48f01",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:24:10 -03 </span>status = success                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:24:10 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                   \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:24:12 -03 </span>View simulation result at                                          \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-ab8f044f-d1c4-4482-a4e7-e1e030ad7d5c\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-ab8f044f-d1c</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-ab8f044f-d1c4-4482-a4e7-e1e030ad7d5c\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">4-4482-a4e7-e1e030ad7d5c'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                         \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:24:12 -03\u001b[0m\u001b[2;36m \u001b[0mView simulation result at                                          \n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=48635;https://tidy3d.simulation.cloud/workbench?taskId=fdve-ab8f044f-d1c4-4482-a4e7-e1e030ad7d5c\u001b\\\u001b[4;34m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=827822;https://tidy3d.simulation.cloud/workbench?taskId=fdve-ab8f044f-d1c4-4482-a4e7-e1e030ad7d5c\u001b\\\u001b[4;34mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=48635;https://tidy3d.simulation.cloud/workbench?taskId=fdve-ab8f044f-d1c4-4482-a4e7-e1e030ad7d5c\u001b\\\u001b[4;34m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=826016;https://tidy3d.simulation.cloud/workbench?taskId=fdve-ab8f044f-d1c4-4482-a4e7-e1e030ad7d5c\u001b\\\u001b[4;34mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=48635;https://tidy3d.simulation.cloud/workbench?taskId=fdve-ab8f044f-d1c4-4482-a4e7-e1e030ad7d5c\u001b\\\u001b[4;34m-ab8f044f-d1c\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=48635;https://tidy3d.simulation.cloud/workbench?taskId=fdve-ab8f044f-d1c4-4482-a4e7-e1e030ad7d5c\u001b\\\u001b[4;34m4-4482-a4e7-e1e030ad7d5c'\u001b[0m\u001b]8;;\u001b\\\u001b[4;34m.\u001b[0m                                         \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "559054c77bdd4904ae6a9cc89dd51342",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:25:06 -03 </span>Loading results from data/tutorial/3d_notched_bar.hdf5             \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:25:06 -03\u001b[0m\u001b[2;36m \u001b[0mLoading results from data/tutorial/3d_notched_bar.hdf5             \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_3d_data = web.run(\n",
    "    sim_3d,\n",
    "    task_name=\"3d_notched_bar\",\n",
    "    path=\"data/tutorial/3d_notched_bar.hdf5\",\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "34bd28b3",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "T = np.asarray(sim_3d_data[\"Transmission\"].flux)\n",
    "R = np.asarray(sim_3d_data[\"Reflection\"].flux)\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(8, 4), tight_layout=True)\n",
    "\n",
    "ax1.plot(monitor_lambdas_3d, np.abs(T), lw=2)\n",
    "ax1.set_xlabel(\"Wavelength (µm)\")\n",
    "ax1.set_ylabel(\"Transmittance\")\n",
    "ax1.set_title(\"Transmission spectrum\")\n",
    "\n",
    "ax2.plot(monitor_lambdas_3d, np.abs(R), lw=2)\n",
    "ax2.set_xlabel(\"Wavelength (µm)\")\n",
    "ax2.set_ylabel(\"Reflectance\")\n",
    "ax2.set_title(\"Reflection spectrum\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c9cc919c",
   "metadata": {},
   "source": [
    "To confirm the resonant character of the perturbed bar, it is helpful to inspect the field distributions at the central wavelength. We plot the field magnitude on the \\(xz\\), \\(xy\\), and \\(yz\\) planes to visualize where the resonance is localized inside the bar, how strongly it interacts with the notch perturbation, and how it extends into the surrounding medium.\n",
    "\n",
    "Together, these cross-sections provide a more complete picture of the guided-mode resonance than the spectrum alone. Strong field concentration near the bar and notch region is consistent with resonant excitation of a weakly radiative guided mode.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "1f1e53ae",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1400x500 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(1, 3, figsize=(14, 5), tight_layout=True)\n",
    "\n",
    "# --- xz plane ---\n",
    "xz = sim_3d_data[\"xz_field\"]\n",
    "Ex = xz.Ex.sel(f=freq0_3d, method=\"nearest\").squeeze()\n",
    "Ey = xz.Ey.sel(f=freq0_3d, method=\"nearest\").squeeze()\n",
    "Ez = xz.Ez.sel(f=freq0_3d, method=\"nearest\").squeeze()\n",
    "if Ex.dims == (\"z\", \"x\"):\n",
    "    Ex, Ey, Ez = Ex.transpose(\"x\", \"z\"), Ey.transpose(\"x\", \"z\"), Ez.transpose(\"x\", \"z\")\n",
    "x = np.asarray(Ex.coords[\"x\"])\n",
    "z = np.asarray(Ex.coords[\"z\"])\n",
    "Eabs_xz = np.sqrt(\n",
    "    np.abs(np.asarray(Ex)) ** 2\n",
    "    + np.abs(np.asarray(Ey)) ** 2\n",
    "    + np.abs(np.asarray(Ez)) ** 2\n",
    ")\n",
    "pcm0 = axes[0].pcolormesh(x, z, Eabs_xz.T, shading=\"auto\", cmap=\"inferno\")\n",
    "axes[0].set_xlabel(\"x (µm)\")\n",
    "axes[0].set_ylabel(\"z (µm)\")\n",
    "axes[0].set_title(r\"$|E|$ on the $xz$ plane\")\n",
    "axes[0].set_aspect(\"equal\")\n",
    "fig.colorbar(pcm0, ax=axes[0], label=r\"$|E|$ (arb. units)\")\n",
    "\n",
    "# --- xy plane ---\n",
    "xy = sim_3d_data[\"xy_field\"]\n",
    "Ex = xy.Ex.sel(f=freq0_3d, method=\"nearest\").squeeze()\n",
    "Ey = xy.Ey.sel(f=freq0_3d, method=\"nearest\").squeeze()\n",
    "Ez = xy.Ez.sel(f=freq0_3d, method=\"nearest\").squeeze()\n",
    "if Ex.dims == (\"y\", \"x\"):\n",
    "    Ex, Ey, Ez = Ex.transpose(\"x\", \"y\"), Ey.transpose(\"x\", \"y\"), Ez.transpose(\"x\", \"y\")\n",
    "x = np.asarray(Ex.coords[\"x\"])\n",
    "y = np.asarray(Ex.coords[\"y\"])\n",
    "Eabs_xy = np.sqrt(\n",
    "    np.abs(np.asarray(Ex)) ** 2\n",
    "    + np.abs(np.asarray(Ey)) ** 2\n",
    "    + np.abs(np.asarray(Ez)) ** 2\n",
    ")\n",
    "pcm1 = axes[1].pcolormesh(x, y, Eabs_xy.T, shading=\"auto\", cmap=\"inferno\")\n",
    "axes[1].set_xlabel(\"x (µm)\")\n",
    "axes[1].set_ylabel(\"y (µm)\")\n",
    "axes[1].set_title(r\"$|E|$ on the $xy$ plane\")\n",
    "axes[1].set_aspect(\"equal\")\n",
    "fig.colorbar(pcm1, ax=axes[1], label=r\"$|E|$ (arb. units)\")\n",
    "\n",
    "# --- yz plane ---\n",
    "yz = sim_3d_data[\"yz_field\"]\n",
    "Ex = yz.Ex.sel(f=freq0_3d, method=\"nearest\").squeeze()\n",
    "Ey = yz.Ey.sel(f=freq0_3d, method=\"nearest\").squeeze()\n",
    "Ez = yz.Ez.sel(f=freq0_3d, method=\"nearest\").squeeze()\n",
    "if Ex.dims == (\"z\", \"y\"):\n",
    "    Ex, Ey, Ez = Ex.transpose(\"y\", \"z\"), Ey.transpose(\"y\", \"z\"), Ez.transpose(\"y\", \"z\")\n",
    "y = np.asarray(Ex.coords[\"y\"])\n",
    "z = np.asarray(Ex.coords[\"z\"])\n",
    "Eabs_yz = np.sqrt(\n",
    "    np.abs(np.asarray(Ex)) ** 2\n",
    "    + np.abs(np.asarray(Ey)) ** 2\n",
    "    + np.abs(np.asarray(Ez)) ** 2\n",
    ")\n",
    "pcm2 = axes[2].pcolormesh(y, z, Eabs_yz.T, shading=\"auto\", cmap=\"inferno\")\n",
    "axes[2].set_xlabel(\"y (µm)\")\n",
    "axes[2].set_ylabel(\"z (µm)\")\n",
    "axes[2].set_title(r\"$|E|$ on the $yz$ plane\")\n",
    "axes[2].set_aspect(\"equal\")\n",
    "fig.colorbar(pcm2, ax=axes[2], label=r\"$|E|$ (arb. units)\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a66d7896",
   "metadata": {},
   "source": [
    "## 6. High-Q Phase-Gradient Metasurface with Periodic Perturbations\n",
    "\n",
    "We now combine the two ingredients developed so far: the three-bar phase-gradient supercell for beam steering, and the periodic notch perturbation for guided-mode excitation.\n",
    "\n",
    "Each bar in the selected triplet retains the width chosen from the phase library, so the spatial phase gradient and beam-steering behavior are preserved. In addition, a small notch is placed on the widest bar — the one whose guided wavelength we computed in the previous section — and repeated periodically along \\(y\\) with period \\(p_{\\mathrm{notch}}\\).\n",
    "\n",
    "This perturbation couples incident light into the guided mode of the bar, producing a narrow high-\\(Q\\) resonance superimposed on the broadband beam-steering response.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "671dbf89",
   "metadata": {},
   "outputs": [],
   "source": [
    "wl_center = 1.50 * um\n",
    "wl_band = 0.04 * um\n",
    "wl_min = wl_center - wl_band / 2\n",
    "wl_max = wl_center + wl_band / 2\n",
    "\n",
    "freq_min = td.C_0 / wl_max\n",
    "freq_max = td.C_0 / wl_min\n",
    "freq0_3d = 0.5 * (freq_min + freq_max)\n",
    "fwidth_3d = freq_max - freq_min\n",
    "\n",
    "num_freqs_3d = 1001\n",
    "freqs_3d = np.linspace(freq_min, freq_max, num_freqs_3d)\n",
    "lams_3d = td.C_0 / freqs_3d"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "27e5e96c",
   "metadata": {},
   "outputs": [],
   "source": [
    "def make_3bar_notched_sim(w1, w2, w3, dl=0.02):\n",
    "    sim_size_3bar = (3 * p_bar, p_notch, sub_t + h_bar + 2 * pml_t)\n",
    "\n",
    "    source_3bar = td.PlaneWave(\n",
    "        source_time=td.GaussianPulse(freq0=freq0_3d, fwidth=fwidth_3d),\n",
    "        size=(td.inf, td.inf, 0),\n",
    "        center=(0, 0, -2),\n",
    "        direction=\"+\",\n",
    "        pol_angle=0,\n",
    "        name=\"planewave_3bar\",\n",
    "    )\n",
    "\n",
    "    monitor_t_3bar = td.DiffractionMonitor(\n",
    "        center=(0, 0, 1.5),\n",
    "        size=(td.inf, td.inf, 0),\n",
    "        freqs=freqs_3d,\n",
    "        name=\"t\",\n",
    "    )\n",
    "\n",
    "    xz_field_3bar = td.FieldMonitor(\n",
    "        center=(0, 0, 0),\n",
    "        size=(td.inf, 0, td.inf),\n",
    "        fields=[\"Ex\", \"Ey\", \"Ez\", \"Hx\", \"Hy\", \"Hz\"],\n",
    "        freqs=freqs_3d,\n",
    "        name=\"xz_field\",\n",
    "        colocate=True,\n",
    "    )\n",
    "\n",
    "    xy_field_3bar = td.FieldMonitor(\n",
    "        center=(0, 0, h_bar / 2),\n",
    "        size=(td.inf, td.inf, 0),\n",
    "        fields=[\"Ex\", \"Ey\", \"Ez\", \"Hx\", \"Hy\", \"Hz\"],\n",
    "        freqs=[freq0_3d],\n",
    "        name=\"xy_field\",\n",
    "        colocate=True,\n",
    "    )\n",
    "\n",
    "    yz_field_3bar = td.FieldMonitor(\n",
    "        center=(0, 0, 0),\n",
    "        size=(0, td.inf, td.inf),\n",
    "        fields=[\"Ex\", \"Ey\", \"Ez\", \"Hx\", \"Hy\", \"Hz\"],\n",
    "        freqs=[freq0_3d],\n",
    "        name=\"yz_field\",\n",
    "        colocate=True,\n",
    "    )\n",
    "\n",
    "    structures = [\n",
    "        make_bar(w1, center=(-p_bar, 0, h_bar / 2), length=td.inf),\n",
    "        make_bar(w2, center=(0.0, 0, h_bar / 2), length=td.inf),\n",
    "        make_bar(w3, center=(p_bar, 0, h_bar / 2), length=td.inf),\n",
    "        make_substrate(period_x=3 * p_bar, period_y=p_notch),\n",
    "        td.Structure(\n",
    "            geometry=td.Box(\n",
    "                center=(p_bar + w3 / 2 - d_notch / 2, 0, h_bar / 2),\n",
    "                size=(d_notch, w_notch, h_bar),\n",
    "            ),\n",
    "            medium=air,\n",
    "            name=\"notch\",\n",
    "        ),\n",
    "    ]\n",
    "\n",
    "    sim = td.Simulation(\n",
    "        center=(0, 0, 0),\n",
    "        size=sim_size_3bar,\n",
    "        grid_spec=td.GridSpec.uniform(dl=dl),\n",
    "        structures=structures,\n",
    "        sources=[source_3bar],\n",
    "        monitors=[monitor_t_3bar, xz_field_3bar, xy_field_3bar, yz_field_3bar],\n",
    "        run_time=100e-12,\n",
    "        shutoff=1e-7,\n",
    "        boundary_spec=td.BoundarySpec(\n",
    "            x=td.Boundary.periodic(),\n",
    "            y=td.Boundary.periodic(),\n",
    "            z=td.Boundary.pml(),\n",
    "        ),\n",
    "        symmetry=(0, 0, 0),\n",
    "        medium=air,\n",
    "    )\n",
    "    return sim"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f598bcf4",
   "metadata": {},
   "source": [
    "We build the notched three-bar supercell and visualize the geometry before running. The simulation is now fully 3D: the supercell is periodic in \\(x\\) with period \\(3p_{\\mathrm{bar}}\\), and periodic in \\(y\\) with the notch period \\(p_{\\mathrm{notch}}\\) derived from the guided-mode analysis. PML boundaries are applied along \\(z\\) as before.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "id": "a788d91f",
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "w1, w2, w3 = best[\"w\"]\n",
    "\n",
    "sim_3bar_notched = make_3bar_notched_sim(w1, w2, w3, dl=0.02)\n",
    "\n",
    "ax = sim_3bar_notched.plot(y=0)\n",
    "sim_3bar_notched.plot_grid(y=0, ax=ax)\n",
    "ax.set_aspect(0.8)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "id": "bbac20f5",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:25:09 -03 </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Simulation has </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2.63e+06</span><span style=\"color: #800000; text-decoration-color: #800000\"> time steps. The </span><span style=\"color: #008000; text-decoration-color: #008000\">'run_time'</span><span style=\"color: #800000; text-decoration-color: #800000\"> may be </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">unnecessarily large, unless there are very long-lived resonances.  </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:25:09 -03\u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING: Simulation has \u001b[0m\u001b[1;36m2.63e+06\u001b[0m\u001b[31m time steps. The \u001b[0m\u001b[32m'run_time'\u001b[0m\u001b[31m may be \u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[31munnecessarily large, unless there are very long-lived resonances.  \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'3bar_notched_sim'</span> with resource_id                   \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-a69a4df7-3704-4539-9e0f-7373eded2fa5'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>.  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'3bar_notched_sim'\u001b[0m with resource_id                   \n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'fdve-a69a4df7-3704-4539-9e0f-7373eded2fa5'\u001b[0m and task_type \u001b[32m'FDTD'\u001b[0m.  \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>View task using web UI at                                          \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-a69a4df7-3704-4539-9e0f-7373eded2fa5\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-a69a4df7-370</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-a69a4df7-3704-4539-9e0f-7373eded2fa5\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">4-4539-9e0f-7373eded2fa5'</span></a>.                                         \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                                          \n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=549318;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a69a4df7-3704-4539-9e0f-7373eded2fa5\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=520145;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a69a4df7-3704-4539-9e0f-7373eded2fa5\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=549318;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a69a4df7-3704-4539-9e0f-7373eded2fa5\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=633508;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a69a4df7-3704-4539-9e0f-7373eded2fa5\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=549318;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a69a4df7-3704-4539-9e0f-7373eded2fa5\u001b\\\u001b[32m-a69a4df7-370\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=549318;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a69a4df7-3704-4539-9e0f-7373eded2fa5\u001b\\\u001b[32m4-4539-9e0f-7373eded2fa5'\u001b[0m\u001b]8;;\u001b\\.                                         \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/folder-431883bc-afbb-4cc8-a95f-ddfeaeeb059a\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=159493;https://tidy3d.simulation.cloud/folders/folder-431883bc-afbb-4cc8-a95f-ddfeaeeb059a\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\.                                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "462fefa2adfa44d585ce22d33f602f67",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:25:13 -03 </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1.691</span>. Minimum cost depends on task     \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>execution details. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed  \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>FlexCredit cost after a simulation run.                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:25:13 -03\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m1.691\u001b[0m. Minimum cost depends on task     \n",
       "\u001b[2;36m             \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed  \n",
       "\u001b[2;36m             \u001b[0mFlexCredit cost after a simulation run.                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:25:15 -03 </span>status = queued                                                    \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:25:15 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                    \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or              \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the web UI.      \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Terminating the Python script will not stop the job running on the \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>cloud.                                                             \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mTo cancel the simulation, use \u001b[32m'web.abort\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or              \n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'web.delete\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or abort/delete the task in the web UI.      \n",
       "\u001b[2;36m             \u001b[0mTerminating the Python script will not stop the job running on the \n",
       "\u001b[2;36m             \u001b[0mcloud.                                                             \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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       "model_id": "0230c6646a3047e0ab5a0e625bf4f804",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:25:21 -03 </span>status = preprocess                                                \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:25:21 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess                                                \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:25:27 -03 </span>starting up solver                                                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:25:27 -03\u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                                 \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>running solver                                                     \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                     \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:27:08 -03 </span>status = postprocess                                               \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:27:08 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                               \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f8325d4777b7415c822be685daa2620c",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:28:30 -03 </span>status = success                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:28:30 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                   \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:28:32 -03 </span>View simulation result at                                          \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-a69a4df7-3704-4539-9e0f-7373eded2fa5\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-a69a4df7-370</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-a69a4df7-3704-4539-9e0f-7373eded2fa5\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">4-4539-9e0f-7373eded2fa5'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                         \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:28:32 -03\u001b[0m\u001b[2;36m \u001b[0mView simulation result at                                          \n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=399967;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a69a4df7-3704-4539-9e0f-7373eded2fa5\u001b\\\u001b[4;34m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=811427;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a69a4df7-3704-4539-9e0f-7373eded2fa5\u001b\\\u001b[4;34mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=399967;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a69a4df7-3704-4539-9e0f-7373eded2fa5\u001b\\\u001b[4;34m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=163522;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a69a4df7-3704-4539-9e0f-7373eded2fa5\u001b\\\u001b[4;34mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=399967;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a69a4df7-3704-4539-9e0f-7373eded2fa5\u001b\\\u001b[4;34m-a69a4df7-370\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=399967;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a69a4df7-3704-4539-9e0f-7373eded2fa5\u001b\\\u001b[4;34m4-4539-9e0f-7373eded2fa5'\u001b[0m\u001b]8;;\u001b\\\u001b[4;34m.\u001b[0m                                         \n"
      ]
     },
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     "output_type": "display_data"
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    {
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      "application/vnd.jupyter.widget-view+json": {
       "model_id": "b9a3c50b81014d15a21069cc1f2c7a2e",
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       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">14:30:17 -03 </span>Loading results from data/tutorial/3bar_notched_sim.hdf5           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:30:17 -03\u001b[0m\u001b[2;36m \u001b[0mLoading results from data/tutorial/3bar_notched_sim.hdf5           \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_3bar_notched_data = web.run(\n",
    "    sim_3bar_notched,\n",
    "    task_name=\"3bar_notched_sim\",\n",
    "    path=\"data/tutorial/3bar_notched_sim.hdf5\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8246f39e",
   "metadata": {},
   "source": [
    "### Diffraction Efficiency Spectrum\n",
    "\n",
    "We first examine the transmitted diffraction efficiency as a function of wavelength. Unlike the unperturbed three-bar supercell, which shows a smooth broadband response, the notched structure should exhibit a sharp spectral feature near the guided-mode resonance wavelength. The \\(m = 1\\) order — the beam-steered channel — is the most informative one to examine, since the resonance modulates exactly the channel that carries the steered beam.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "id": "5741c570",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "diff_t = sim_3bar_notched_data[\"t\"]\n",
    "\n",
    "freqs_3bar = np.asarray(diff_t.f)\n",
    "lams = td.constants.C_0 / freqs_3bar\n",
    "lams_um = lams\n",
    "\n",
    "amps = diff_t.amps\n",
    "amps_p = amps.sel(polarization=\"p\")\n",
    "eta_p = np.abs(amps_p) ** 2\n",
    "\n",
    "try:\n",
    "    eta_p_1d = eta_p.squeeze(\"orders_y\")\n",
    "except Exception:\n",
    "    eta_p_1d = eta_p\n",
    "\n",
    "orders_x = np.asarray(eta_p_1d.coords[\"orders_x\"])\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(6, 4))\n",
    "\n",
    "for m in orders_x:\n",
    "    eta_m = np.asarray(eta_p_1d.sel(orders_x=m))\n",
    "    ax.plot(lams_um, eta_m, label=f\"m = {m}\")\n",
    "\n",
    "ax.set_xlabel(\"Wavelength (µm)\")\n",
    "ax.set_ylabel(\"Diffraction efficiency (p-pol)\")\n",
    "ax.set_title(\"Transmitted diffraction efficiency vs wavelength (3D notched 3-bar)\")\n",
    "ax.legend(title=\"Order\", bbox_to_anchor=(1.05, 1), loc=\"upper left\")\n",
    "ax.set_ylim(0, 1.05 * np.max(np.asarray(eta_p_1d)))\n",
    "\n",
    "fig.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1b7f31eb",
   "metadata": {},
   "source": [
    "### Near-Field Visualization at Resonance\n",
    "\n",
    "To confirm that the spectral feature is associated with guided-mode excitation, we identify the resonance wavelength from the minimum of the \\(m = 1\\) diffraction order and extract the near-field at that frequency. Plotting both \\(\\mathrm{Re}(E_x)\\) and \\(|E|\\) on the \\(xz\\) plane provides complementary information: the real part reveals the oscillatory phase structure of the resonantly excited mode, while the field magnitude shows where energy is localized within the bar and surrounding medium.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "df02b7bc",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Resonant wavelength from m=1 minimum: 1.509637 um\n",
      "Resonant frequency: 1.985859e+14 Hz\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1300x500 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "diff_t = sim_3bar_notched_data[\"t\"]\n",
    "xz = sim_3bar_notched_data[\"xz_field\"]\n",
    "\n",
    "# --- find resonance from minimum of transmitted first diffraction order ---\n",
    "freqs_diff = np.asarray(diff_t.f)\n",
    "lams_diff = td.C_0 / freqs_diff\n",
    "\n",
    "amps_p = diff_t.amps.sel(polarization=\"p\")\n",
    "eta_p = np.abs(amps_p) ** 2\n",
    "\n",
    "try:\n",
    "    eta_p = eta_p.squeeze(\"orders_y\")\n",
    "except Exception:\n",
    "    pass\n",
    "\n",
    "eta_m1 = np.asarray(eta_p.sel(orders_x=1))\n",
    "i_res = np.argmin(eta_m1)\n",
    "\n",
    "freq_res = freqs_diff[i_res]\n",
    "lam_res = lams_diff[i_res]\n",
    "\n",
    "print(f\"Resonant wavelength from m=1 minimum: {lam_res:.6f} um\")\n",
    "print(f\"Resonant frequency: {freq_res:.6e} Hz\")\n",
    "\n",
    "# --- extract xz-plane fields at the resonant frequency ---\n",
    "Ex = xz.Ex.sel(f=freq_res, method=\"nearest\").squeeze()\n",
    "Ey = xz.Ey.sel(f=freq_res, method=\"nearest\").squeeze()\n",
    "Ez = xz.Ez.sel(f=freq_res, method=\"nearest\").squeeze()\n",
    "\n",
    "if Ex.dims == (\"z\", \"x\"):\n",
    "    Ex = Ex.transpose(\"x\", \"z\")\n",
    "    Ey = Ey.transpose(\"x\", \"z\")\n",
    "    Ez = Ez.transpose(\"x\", \"z\")\n",
    "\n",
    "x = np.asarray(Ex.coords[\"x\"])\n",
    "z = np.asarray(Ex.coords[\"z\"])\n",
    "\n",
    "Ex_np = np.asarray(Ex)\n",
    "Ey_np = np.asarray(Ey)\n",
    "Ez_np = np.asarray(Ez)\n",
    "\n",
    "Ex_real = np.real(Ex_np)\n",
    "Eabs = np.sqrt(np.abs(Ex_np) ** 2 + np.abs(Ey_np) ** 2 + np.abs(Ez_np) ** 2)\n",
    "\n",
    "# --- plot side by side ---\n",
    "fig, axes = plt.subplots(1, 2, figsize=(13, 5), constrained_layout=True)\n",
    "\n",
    "# Re(Ex), closer to the web interface style\n",
    "v = np.max(np.abs(Ex_real))\n",
    "pcm0 = axes[0].pcolormesh(\n",
    "    x,\n",
    "    z,\n",
    "    Ex_real.T,\n",
    "    shading=\"auto\",\n",
    "    cmap=\"RdBu_r\",\n",
    "    vmin=-v,\n",
    "    vmax=v,\n",
    ")\n",
    "axes[0].set_xlabel(\"x (µm)\")\n",
    "axes[0].set_ylabel(\"z (µm)\")\n",
    "axes[0].set_title(rf\"$\\mathrm{{Re}}(E_x)$ at $\\lambda \\approx {lam_res:.4f}\\,\\mu$m\")\n",
    "axes[0].set_aspect(\"equal\")\n",
    "fig.colorbar(pcm0, ax=axes[0], label=r\"$\\mathrm{Re}(E_x)$ (arb. units)\")\n",
    "\n",
    "# |E|, good for guided-mode visualization\n",
    "pcm1 = axes[1].pcolormesh(\n",
    "    x,\n",
    "    z,\n",
    "    Eabs.T,\n",
    "    shading=\"auto\",\n",
    "    cmap=\"inferno\",\n",
    ")\n",
    "axes[1].set_xlabel(\"x (µm)\")\n",
    "axes[1].set_ylabel(\"z (µm)\")\n",
    "axes[1].set_title(rf\"$|E|$ at $\\lambda \\approx {lam_res:.4f}\\,\\mu$m\")\n",
    "axes[1].set_aspect(\"equal\")\n",
    "fig.colorbar(pcm1, ax=axes[1], label=r\"$|E|$ (arb. units)\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "628c02e2",
   "metadata": {},
   "source": [
    "The field plots confirm that the sharp spectral feature arises from resonant excitation of the guided mode identified in the mode-solver analysis. The strong near-field localization within the bar and the structured spatial pattern along \\(z\\) are characteristic signatures of a weakly radiative guided-mode resonance.\n",
    "\n",
    "Together, the diffraction spectrum and near-field maps demonstrate the central result of this tutorial: by combining a phase-gradient supercell with a weak periodic perturbation, it is possible to realize a metasurface that simultaneously steers light into a chosen diffraction order and exhibits a high-\\(Q\\) spectral response. This design principle is the basis of the resonant phase-gradient metasurfaces demonstrated experimentally in the cited literature.\n",
    "\n",
    "### Summary\n",
    "\n",
    "| Design element | Role |\n",
    "|---|---|\n",
    "| Bar width sweep | Provides phase library for local phase control |\n",
    "| Phase-triplet selection | Identifies three widths spanning \\(2\\pi\\) with high transmission |\n",
    "| Three-bar supercell | Imposes a linear phase ramp to steer light into the \\(m = \\pm 1\\) order |\n",
    "| Guided-mode analysis | Determines the perturbation period needed for resonant coupling |\n",
    "| Periodic notch | Weakly couples free-space light into the guided mode, producing a high-\\(Q\\) resonance |\n",
    "| Notched supercell | Combines beam steering and high-\\(Q\\) spectral selectivity in a single device |\n"
   ]
  }
 ],
 "metadata": {
  "applications": [
   "Metamaterials, gratings, and other periodic structures"
  ],
  "description": "This notebook demonstrates how to design high-Q phase-gradient metasurfaces using Tidy3D.",
  "feature_image": "./img/phase_gradient_metasurface.png",
  "features": [
   "Mode analysis"
  ],
  "kernelspec": {
   "display_name": "base",
   "language": "python",
   "name": "python3"
  },
  "keywords": "phase-gradient metasurface, beam steering, guided-mode resonance, Tidy3D, FDTD",
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.7"
  },
  "title": "Design high-Q phase-gradient metasurfaces using Tidy3D | Flexcompute"
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
