{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Thin film lithium niobate adiabatic waveguide coupler\n",
        "\n",
        "> **Note: the cost of running the entire notebook is over 20\n",
        "> FlexCredits.**\n",
        "\n",
        "Thin-film lithium niobate (LN) offers several advantages over silicon in\n",
        "integrated photonics. LN’s inherent electro-optic and nonlinear\n",
        "properties exceed those of silicon, allowing for efficient electro-optic\n",
        "modulation and wavelength conversion, which are vital for optical signal\n",
        "processing. Furthermore, LN demonstrates lower optical loss in the\n",
        "telecom wavelengths, and it supports operation in a broader wavelength\n",
        "range compared to silicon, extending into the mid-infrared region. Thus,\n",
        "thin-film LN’s characteristics present opportunities for the realization\n",
        "of high-performance, multi-functional integrated photonic devices.\n",
        "\n",
        "In this notebook, we introduce an adiabatic LN waveguide coupler based\n",
        "on a special arrayed scheme with three waveguides. The coupling\n",
        "mechanism is analogous to the stimulated Raman adiabatic passage\n",
        "(STIRAP) in quantum physics. Adiabatic light transfer can be achieved\n",
        "from one outer waveguide to the other outer waveguide with near unity\n",
        "coupling efficiency and minimum excitation of the middle waveguide. More\n",
        "importantly, the designed coupler has a high fabrication tolerance,\n",
        "small mode and polarization sensitivity, and large working bandwidth.\n",
        "The design is based on\n",
        "`Yi-Xin Lin, Mohammadreza Younesi, Hung-Pin Chung, Hua-Kung Chiu, Reinhard Geiss, Quan-Hsiang Tseng, Frank Setzpfandt, Thomas Pertsch, and Yen-Hung Chen, \"Ultra-compact, broadband adiabatic passage optical couplers in thin-film lithium niobate on insulator waveguides,\" Opt. Express 29, 27362-27372 (2021)`\n",
        "[DOI: 10.1364/OE.435633](https://doi.org/10.1364/OE.435633).\n",
        "\n",
        "Adiabatic devices usually have a better fabrication tolerance and\n",
        "working bandwidth. However, the device size is inevitably larger, making\n",
        "rigorous simulation a daunting task. Photonic designers often resort to\n",
        "approximation methods such as 2D FDTD, beam propagation method,\n",
        "eigenmode expansion, and so on. The accuracy of these simulations is\n",
        "often questionable. `Tidy3D` allows photonic designers to perform\n",
        "accurate 3D FDTD for large devices in a short amount of time,\n",
        "eliminating all the compromises and giving you confidence in your\n",
        "design.\n",
        "\n",
        "<img src=\"img/LN_adiabatic_coupler.png\" width=\"400\" alt=\"Schematic of the adiabatic coupler\">\n",
        "\n",
        "For more integrated photonic examples such as the [8-Channel mode and\n",
        "polarization\n",
        "de-multiplexer](https://www.flexcompute.com/tidy3d/examples/notebooks/8ChannelDemultiplexer/),\n",
        "the [broadband bi-level taper polarization\n",
        "rotator-splitter](https://www.flexcompute.com/tidy3d/examples/notebooks/BilevelPSR/),\n",
        "and the [broadband directional\n",
        "coupler](https://www.flexcompute.com/tidy3d/examples/notebooks/BroadbandDirectionalCoupler/),\n",
        "please visit our [examples\n",
        "page](https://www.flexcompute.com/tidy3d/examples/). If you are new to\n",
        "the finite-difference time-domain (FDTD) method, we highly recommend\n",
        "going through our [FDTD101](https://www.flexcompute.com/fdtd101/)\n",
        "tutorials. FDTD simulations can diverge due to various reasons. If you\n",
        "run into any simulation divergence issues, please follow the steps\n",
        "outlined in our [troubleshooting\n",
        "guide](https://www.flexcompute.com/tidy3d/examples/notebooks/DivergedFDTDSimulation/)\n",
        "to resolve it."
      ],
      "id": "e0c470c1-e0ca-4e64-a83d-3088df7d6a6a"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "import gdstk\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import tidy3d as td\n",
        "import tidy3d.web as web"
      ],
      "id": "a8f708f1"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Simulation Setup\n",
        "\n",
        "First, we use the convenience class\n",
        "[FreqRange](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FreqRange.html)\n",
        "to define the basic simulation parameters related to frequency and\n",
        "wavelength."
      ],
      "id": "bd925bf2-c236-4bd5-aa74-9986da46a331"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "lda0 = 1.55  # central wavelength\n",
        "wvl_width = 0.2  # one-sided wavelength range\n",
        "\n",
        "# set frequency range\n",
        "freq_range = td.FreqRange.from_wvl(wvl0=lda0, wvl_width=wvl_width)\n",
        "\n",
        "# wavelengths corresponding to frequency points\n",
        "wvls = freq_range.wvls(num_points=101, spacing=\"uniform_freq\")[::-1]"
      ],
      "id": "f4065e3a"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The coupler is designed on an X-cut thin film LN. The waveguides are\n",
        "oriented perpendicular to the optical axis. We plan to define our\n",
        "waveguides to be oriented in the $x$ direction in our simulation.\n",
        "Therefore, LN is defined as an\n",
        "[AnisotropicMedium](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.AnisotropicMedium.html)\n",
        "with the extraordinary refractive index in the $y$ direction.\n",
        "\n",
        "In the wavelength range of interest, both LN and SiO$_2$ have a constant\n",
        "refractive index so we model them as non-dispersive."
      ],
      "id": "dc178fb3-9bbc-49aa-a8b0-479954b506db"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "n_e = 2.138  # extraordinary refractive index of LN\n",
        "n_o = 2.211  # ordinary refractive index of LN\n",
        "\n",
        "# define LN medium\n",
        "LN_e = td.Medium(permittivity=n_e**2)\n",
        "LN_o = td.Medium(permittivity=n_o**2)\n",
        "LN = td.AnisotropicMedium(xx=LN_o, yy=LN_e, zz=LN_o)\n",
        "\n",
        "n_sio2 = 1.44  # refractive index of SiO2\n",
        "\n",
        "# define SiO2 medium\n",
        "SiO2 = td.Medium(permittivity=n_sio2**2)"
      ],
      "id": "df4e4afc"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Define geometric parameters. The length of the coupler is **2 mm**. The\n",
        "LN waveguide width and thickness are 1 $\\mu m$ and 600 nm, respectively."
      ],
      "id": "0a463024-f1ff-4ab9-83f6-b30016351bab"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [],
      "source": [
        "L = 2000  # length of the coupler\n",
        "d23 = 1  # spacing between the 2nd and the 3rd waveguide at the start of the coupler\n",
        "d12 = 2  # spacing between the 1st and the 2nd waveguide at the start of the coupler\n",
        "w = 1  # waveguide width\n",
        "h = 0.6  # waveguide thickness\n",
        "\n",
        "buffer = 10  # buffer spacing"
      ],
      "id": "96a5ebac"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Defining the geometries for the coupler is relatively easy as it only\n",
        "contains three straight waveguides. For convenience, we copy the\n",
        "`straight_waveguide` method from the list of [common integrated photonic\n",
        "components](https://www.flexcompute.com/tidy3d/examples/notebooks/PICComponents/)\n",
        "and use it to define the waveguides."
      ],
      "id": "3ed9b50d-f1b0-464d-83d3-26e3650fbe39"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [],
      "source": [
        "def straight_waveguide(x0, y0, z0, x1, y1, wg_width, wg_thickness, medium, sidewall_angle=0):\n",
        "    \"\"\"\n",
        "    This function defines a straight strip waveguide and returns the tidy3d structure of it.\n",
        "\n",
        "    Parameters\n",
        "    ----------\n",
        "    x0: x coordinate of the waveguide starting position (um)\n",
        "    y0: y coordinate of the waveguide starting position (um)\n",
        "    z0: z coordinate of the waveguide starting position (um)\n",
        "    x1: x coordinate of the waveguide end position (um)\n",
        "    y1: y coordinate of the waveguide end position (um)\n",
        "    wg_width: width of the waveguide (um)\n",
        "    wg_thickness: thickness of the waveguide (um)\n",
        "    medium: medium of the waveguide\n",
        "    sidewall_angle: side wall angle of the waveguide (rad)\n",
        "    \"\"\"\n",
        "\n",
        "    cell = gdstk.Cell(\"waveguide\")  # define a gds cell\n",
        "\n",
        "    path = gdstk.RobustPath((x0, y0), wg_width, layer=1, datatype=0)  # define a path\n",
        "    path.segment((x1, y1))\n",
        "\n",
        "    cell.add(path)  # add path to the cell\n",
        "\n",
        "    # define geometry from the gds cell\n",
        "    wg_geo = td.PolySlab.from_gds(\n",
        "        cell,\n",
        "        gds_layer=1,\n",
        "        axis=2,\n",
        "        slab_bounds=(z0 - wg_thickness / 2, z0 + wg_thickness / 2),\n",
        "        sidewall_angle=sidewall_angle,\n",
        "    )\n",
        "\n",
        "    # define tidy3d structure of the bend\n",
        "    wg = td.Structure(geometry=wg_geo[0], medium=medium)\n",
        "\n",
        "    return wg"
      ],
      "id": "ba84b803"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The three waveguides are simply defined by calling the\n",
        "`straight_waveguide` method with the respective start and end\n",
        "coordinates."
      ],
      "id": "d8ca2cc5-ecc7-4092-807d-7204596bda25"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [],
      "source": [
        "# define the first waveguide\n",
        "wg1 = straight_waveguide(\n",
        "    x0=-2 * buffer, y0=0, z0=0, x1=L + 2 * buffer, y1=0, wg_width=w, wg_thickness=h, medium=LN\n",
        ")\n",
        "\n",
        "# define the second waveguide\n",
        "wg2 = straight_waveguide(x0=0, y0=d12, z0=0, x1=L, y1=d23, wg_width=w, wg_thickness=h, medium=LN)\n",
        "\n",
        "# define the third waveguide\n",
        "wg3 = straight_waveguide(\n",
        "    x0=-2 * buffer,\n",
        "    y0=d12 + d23,\n",
        "    z0=0,\n",
        "    x1=L + 2 * buffer,\n",
        "    y1=d12 + d23,\n",
        "    wg_width=w,\n",
        "    wg_thickness=h,\n",
        "    medium=LN,\n",
        ")"
      ],
      "id": "b525798b"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Define source and monitors. Similar to other [PIC\n",
        "examples](https://www.flexcompute.com/tidy3d/examples/notebooks/YJunction/),\n",
        "we will use a\n",
        "[ModeSource](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeSource.html)\n",
        "to launch the waveguide mode at the first waveguide. More specifically,\n",
        "we will examine both the TE0 and TM0 modes and compute the coupling\n",
        "efficiencies. In the\n",
        "[ModeSpec](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeSpec.html),\n",
        "we only search for one mode as the TE0 and TM0 modes will be determined\n",
        "by the symmetry of the simulation as we will discuss later.\n",
        "\n",
        "A\n",
        "[ModeMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeMonitor.html)\n",
        "is defined at the end of the third waveguide to capture the coupling\n",
        "efficiency and a\n",
        "[FieldMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FieldMonitor.html)\n",
        "is defined in the $z=0$ plane to help visualize the field propagation."
      ],
      "id": "7b9589f3-94ec-4b56-8a09-5171ab94a995"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [],
      "source": [
        "# add a mode source as excitation\n",
        "mode_spec = td.ModeSpec(num_modes=1, target_neff=n_e)\n",
        "mode_source = td.ModeSource(\n",
        "    center=(-buffer / 4, 0, 0),\n",
        "    size=(0, 3 * w, 6 * h),\n",
        "    source_time=freq_range.to_gaussian_pulse(),\n",
        "    direction=\"+\",\n",
        "    mode_spec=mode_spec,\n",
        "    mode_index=0,\n",
        ")\n",
        "\n",
        "\n",
        "# add a mode monitor to measure transmission at the output waveguide\n",
        "mode_monitor = td.ModeMonitor(\n",
        "    center=(L + buffer / 4, d12 + d23, 0),\n",
        "    size=(0, 3 * w, 6 * h),\n",
        "    freqs=freq_range.freqs(num_points=101),\n",
        "    mode_spec=mode_spec,\n",
        "    name=\"mode\",\n",
        ")\n",
        "\n",
        "# add a field monitor to visualize field distribution at z=t/2\n",
        "field_monitor = td.FieldMonitor(\n",
        "    center=(0, 0, 0),\n",
        "    size=(td.inf, td.inf, 0),\n",
        "    freqs=freq_range.freqs(num_points=1),\n",
        "    fields=[\"Ex\", \"Ey\", \"Ez\"],\n",
        "    name=\"field\",\n",
        ")"
      ],
      "id": "59157260"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We first define a\n",
        "[Simulation](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Simulation.html)\n",
        "for the TE0 mode by putting what we defined earlier together. Since the\n",
        "LN waveguides are surrounded by SiO$_2$, we can see that there is mirror\n",
        "symmetry with respect to the $z=0$ plane. The TE0 mode has a symmetry of\n",
        "`(0,0,1)` while the TM0 mode has a symmetry of `(0,0,-1)`. Therefore,\n",
        "the TM0 simulation is then simply defined by copying the TE0 simulation\n",
        "and updating the symmetry to `(0,0,-1)`.\n",
        "\n",
        "Note that since the device has a large length, the simulation run time\n",
        "needs to be sufficiently long for the launched mode to propagate and\n",
        "decay."
      ],
      "id": "4993f37b-9480-4f9a-a001-7b8c25ab0658"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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9vpWcuajL51sXmu2UnLX5XOSVnAAAAABVp7Bk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          }
        }
      ],
      "source": [
        "# define simulation domain size\n",
        "Lx = L + 2 * buffer\n",
        "Ly = d12 + d23 + w + 2 * td.C_0 / freq_range.freq0\n",
        "Lz = 4 * h\n",
        "sim_size = (Lx, Ly, Lz)\n",
        "\n",
        "run_time = 4e-11  # simulation run time\n",
        "\n",
        "# construct te0 simulation\n",
        "sim_te = td.Simulation(\n",
        "    center=(L / 2, (d12 + d23) / 2, 0),\n",
        "    size=sim_size,\n",
        "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=12, wavelength=td.C_0 / freq_range.freq0),\n",
        "    structures=[wg1, wg2, wg3],\n",
        "    sources=[mode_source],\n",
        "    monitors=[mode_monitor, field_monitor],\n",
        "    run_time=run_time,\n",
        "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n",
        "    medium=SiO2,\n",
        "    symmetry=(0, 0, 1),\n",
        ")\n",
        "\n",
        "# define tm0 simulation by copying the te0 simulation and update the symmetry\n",
        "sim_tm = sim_te.copy(update={\"symmetry\": (0, 0, -1)})\n",
        "\n",
        "# plot the simulation to visualize the setup\n",
        "ax = sim_te.plot(z=0)\n",
        "ax.set_aspect(\"auto\")\n",
        "plt.show()"
      ],
      "id": "72ddf696"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Running Simulation Batch\n",
        "\n",
        "We can run the two simulations sequentially. However, since both\n",
        "simulations are large, it would be much more efficient if we run them\n",
        "concurrently. To do so, we first define a simulation\n",
        "[Batch](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.web.api.container.Batch.html)\n",
        "as demonstrated in the\n",
        "[tutorial](https://www.flexcompute.com/tidy3d/examples/notebooks/ParameterScan/).\n",
        "\n",
        "Before submitting the simulations to run on the server, we estimate the\n",
        "cost to ensure it is reasonable and affordable. This cost is the maximum\n",
        "cost assuming all time steps are used."
      ],
      "id": "20a26b4d-aad1-46f3-8705-ca193e3da942"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">01:03:18 UTC </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">28.446</span> for the whole batch.               \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "sims = {\n",
        "    \"TE\": sim_te,\n",
        "    \"TM\": sim_tm,\n",
        "}\n",
        "batch = web.Batch(simulations=sims, verbose=True)\n",
        "estimate_cost = batch.estimate_cost()"
      ],
      "id": "93ff8853"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Once we confirm that the cost is correct, we run the batch of\n",
        "simulations in parallel."
      ],
      "id": "6cbfb331-ea29-4ccd-b1a4-6e99456964ba"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"0e51024133804a8689b045ade9d966f6\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> tasks.                       \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">01:03:21 UTC </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">28.446</span> for the whole batch.               \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"0f8ef67101dc49ea9b4d6a9329eb9e58\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">01:03:22 UTC </span>Batch complete.                                                    \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "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>"
            ]
          }
        }
      ],
      "source": [
        "batch_results = batch.run(path_dir=\"data\")"
      ],
      "id": "bc05a0e1"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "After the simulations are complete, we can get the real cost. Since the\n",
        "simulations automatically shut off after field decay reached the\n",
        "threshold, the real cost is lower than the estimated cost."
      ],
      "id": "45761add-645e-4e27-a0d4-149851bbe6eb"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "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\">01:03:46 UTC </span>Total billed flex credit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">23.875</span>.                             \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "real_cost = batch.real_cost()"
      ],
      "id": "2a8d5937"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Result Visualization\n",
        "\n",
        "First, let’s plot the field distribution for both the TE0 and TM0\n",
        "simulations.\n",
        "\n",
        "From the plots, we can see the efficient light transfer from one\n",
        "waveguide to the other in both polarizations with minimum excitation of\n",
        "the middle waveguide."
      ],
      "id": "7317d599-f015-4f31-b5d5-8df44a7a0e40"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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hhBBCiIUZJYQQQgghhBBCiIMeJWs8nCghhBBCCCGEEEIcnChZ46H0hhBCCCGE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ldeeQVJkrSvPEyMWunNtttuizPPPBNTpkwZ6a4QQgghhBBCxhDGt0WaCRcAbgKpcrLFP4iLShku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QliGlxN///nfccccdmDZtGpqamrDhhhvioIMOwje+8Q2su+66na1it4SGEkIIIYQQQgghhBAD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\n3x8zZsxo0f0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bbrmlqM4DDzyAa665BgDw7W9/G4ceemiL+5k3bx5mzpwJANh1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UIIaXc8z4Pneejs7MzPQZISUuRHuVhkiqpFX3TRFS7qWPLHCCGEENIH8GXwV4Yd0p60ZKFk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\nUl+vHeT01ylLUaKPk9a/THwp4Kk71OGxXaaj6rOwlRrxfT6ZWZ9pU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          }
        }
      ],
      "source": [
        "fig, (ax1, ax2) = plt.subplots(2, 1, figsize=(6, 6), tight_layout=True)\n",
        "\n",
        "batch_results[\"TE\"].plot_field(\n",
        "    field_monitor_name=\"field\", field_name=\"E\", val=\"abs\", vmin=0, vmax=50, ax=ax1\n",
        ")\n",
        "ax1.set_aspect(\"auto\")\n",
        "ax1.set_title(\"TE mode\")\n",
        "batch_results[\"TM\"].plot_field(\n",
        "    field_monitor_name=\"field\", field_name=\"E\", val=\"abs\", vmin=0, vmax=50, ax=ax2\n",
        ")\n",
        "ax2.set_aspect(\"auto\")\n",
        "ax2.set_title(\"TM mode\")\n",
        "plt.show()"
      ],
      "id": "27b28ed6"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Lastly, we quantitatively calculate and plot the coupling efficiencies.\n",
        "Within the 200 nm simulated bandwidth, we observe a \\>90% coupling\n",
        "efficiency for both polarizations."
      ],
      "id": "9226b941-aad7-4457-8421-29172f24c670"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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npOTk7S/CHh4eGPomuPhXXr1uHYsWNwc3PDZ599ZrC4il9cZTIZnn32WYPFpdp18uRJCCEA6D7f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\niAzm/wDMqsAmveD30QAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "# extract the transmission data from the mode monitor\n",
        "amp = batch_results[\"TE\"][\"mode\"].amps.sel(mode_index=0, direction=\"+\")\n",
        "T_te = np.abs(amp) ** 2\n",
        "\n",
        "amp = batch_results[\"TM\"][\"mode\"].amps.sel(mode_index=0, direction=\"+\")\n",
        "T_tm = np.abs(amp) ** 2\n",
        "\n",
        "plt.plot(wvls, T_te, c=\"blue\", label=\"TE\", linewidth=3)\n",
        "plt.plot(wvls, T_tm, \"--\", c=\"red\", label=\"TM\", linewidth=3)\n",
        "plt.xlabel(r\"Wavelength ($\\mu m$)\")\n",
        "plt.ylabel(\"Coupling efficiency\")\n",
        "plt.ylim(0.5, 1.05)\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "id": "29784a1c"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Further simulations can be used to test fabrication tolerance, nonzero\n",
        "sidewall angle, and so on, which we will not explicitly demonstrate here\n",
        "for the sake of brevity."
      ],
      "id": "6b71676a-e550-4e41-b9f4-d97170d8d6dd"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    }
  }
}