{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Mode overlap integral between a waveguide mode and a Gaussian mode\n",
        "\n",
        "The evaluation of the overlap integral quantifies the level of matching\n",
        "between two optical field distributions. It is particularly useful, for\n",
        "example, in determining the coupling efficiency to the desired waveguide\n",
        "mode when connecting an optical fiber to an edge coupler.\n",
        "\n",
        "Tidy3D facilitates the analytical computation of field distributions for\n",
        "different beam types including Gaussian beam, astigmatic Gaussian beam,\n",
        "and plane wave. This feature enables swift calculation of mode overlap\n",
        "integral with another mode, likely determined through a mode solver\n",
        "analysis.\n",
        "\n",
        "This notebook presents the optimization of coupling efficiency between a\n",
        "single-mode fiber (represented by a Gaussian mode field) and a silicon\n",
        "edge coupler. The focus is to highlight the usage of built-in functions\n",
        "for the analytical computation of the Gaussian beam profile and overlap\n",
        "integral calculation."
      ],
      "id": "9e6ce3b3-68bd-4c30-b60d-6a556e1ba5a5"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "from __future__ import annotations\n",
        "\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import tidy3d as td\n",
        "import tidy3d.web as web"
      ],
      "id": "478c7b5b"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Generate the Gaussian Beam Profile\n",
        "\n",
        "The Gaussian beam is analytically defined by\n",
        "\n",
        "$$E(x,y,z) = \\frac{w_0}{w(z)} \\exp\\left[-\\frac{x^2+y^2}{w(z)^2}\\right] \\exp\\Biggl\\{ i\\Bigl( k_0 z + \\frac{k_0(x^2+y^2)}{2R(z)} - \\psi(z)\\Bigr) \\Biggr\\},$$\n",
        "\n",
        "where the beam parameters are defined as follows:\n",
        "\n",
        "Beam radius:\n",
        "\n",
        "$$  w(z) = w_0 \\sqrt{1+\\left(\\frac{z+z_0}{z_R}\\right)^2},\n",
        "  $$\n",
        "\n",
        "with $w_0$ as the waist radius and $z_0$ as the waist distance.\n",
        "\n",
        "Rayleigh range:\n",
        "\n",
        "$$  z_R = \\frac{k_0 w_0^2}{2}.\n",
        "  $$\n",
        "\n",
        "Radius of curvature:\n",
        "\n",
        "$$  R(z) = \\frac{(z+z_0)^2+z_R^2}{z+z_0}.\n",
        "  $$\n",
        "\n",
        "Gouy phase:\n",
        "\n",
        "$$  \\psi(z) = \\arctan\\!\\Bigl(\\frac{z+z_0}{z_R}\\Bigr) - \\arctan\\!\\Bigl(\\frac{z_0}{z_R}\\Bigr).\n",
        "  $$\n",
        "\n",
        "A Gaussian beam field profile can be generated directly through\n",
        "[GaussianBeamProfile](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.GaussianBeamProfile.html).\n",
        "Similarly, an astigmatic Gaussian beam profile can be generated through\n",
        "[AstigmaticGaussianBeamProfile](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.AstigmaticGaussianBeamProfile.html)\n",
        "and a plane wave profile can be generated through\n",
        "[PlaneWaveBeamProfile](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.PlaneWaveBeamProfile.html).\n",
        "\n",
        "In this notebook, we want to optimize the coupling between an SMF-28 and\n",
        "a 220 nm SOI edge coupler by adjusting the waveguide width at the end of\n",
        "the edge coupler. This requires us to perform mode analysis on the\n",
        "waveguide cross section with varying widths and then perform mode\n",
        "overlap integral with the fiber mode. For SMF-28, the mode field\n",
        "diameter at 1550 nm is about 10.5 μm. Therefore, we can represent the\n",
        "mode field with a Gaussian beam with a `waist_radius` of 5.25 μm."
      ],
      "id": "0cc6955c-6a4d-49e0-a62a-592e4a541942"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "lda0 = 1.55  # wavelength of interest\n",
        "freq0 = td.C_0 / lda0  # frequency of interest\n",
        "r_beam = 5.25  # beam radius\n",
        "size = 40  # plane size for the beam profile"
      ],
      "id": "682b3c19"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "In order to accurately capture the full profile of the Gaussian beam, it\n",
        "is imperative to ensure the plane size is sufficiently large, at least a\n",
        "few times larger than the beam size. The `size` argument also expects\n",
        "one of the values to be 0. The direction with a zero size is taken as\n",
        "the propagation axis. For example, if `size=(size_x, size_y, 0)`, the\n",
        "Gaussian beam is propagating in the $z$ direction. Additional arguments\n",
        "such as `angle_theta` and `angle_phi` can be specified if the desired\n",
        "propagation direction is not parallel to one of the Cartesian axes,\n",
        "similar to defining a regular\n",
        "[GaussianBeam](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.GaussianBeam.html)\n",
        "source in FDTD.\n",
        "\n",
        "Additionally, it’s necessary to align the polarization angle with the\n",
        "desired waveguide mode for effective coupling. In this particular\n",
        "scenario, the target is coupling to the fundamental TE mode that is\n",
        "polarized in the y-direction.\n",
        "\n",
        "The `resolution` parameter is crucial as it defines the sampling\n",
        "resolution and it needs to be appropriately high to ensure precision."
      ],
      "id": "a089e90f-e1f7-48c3-aa25-f89d831912bc"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "# generate a Gaussian beam\n",
        "gaussian_beam = td.GaussianBeamProfile(\n",
        "    waist_radius=r_beam,\n",
        "    pol_angle=np.pi / 2,  # polarized in the y direction for coupling to the TE mode\n",
        "    size=(size, size, 0),\n",
        "    resolution=200,\n",
        "    freqs=[freq0],\n",
        ")"
      ],
      "id": "99a721c5"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Once the beam is generated, we can visualize the field profile."
      ],
      "id": "2c89050e-45ea-4251-93d2-40c9619624f3"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAABJYAAAOFCAYAAAA4cmjIAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90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\n"
          }
        }
      ],
      "source": [
        "gaussian_beam.field_data.Ey.abs.plot(cmap=\"hot\", x=\"x\", y=\"y\")\n",
        "plt.show()"
      ],
      "id": "83ae1dc6"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Conducting Mode Analysis on the Waveguide\n",
        "\n",
        "We will proceed by performing a mode analysis on the waveguide structure\n",
        "at the end facet of the edge coupler. Our aim is to sweep a range of\n",
        "waveguide widths to identify the optimal value, one which would result\n",
        "in the highest coupling efficiency. To accomplish this, we first define\n",
        "a function `make_mode_simulation`. This function takes the waveguide\n",
        "width as an input parameter and returns a `ModeSimulation` instance,\n",
        "which we solve on the cloud through `web.run`."
      ],
      "id": "85cb2207-3fda-4219-aefc-2aff131b40bb"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [],
      "source": [
        "# materials used\n",
        "si = td.material_library[\"cSi\"][\"Li1993_293K\"]\n",
        "sio2 = td.material_library[\"SiO2\"][\"Horiba\"]\n",
        "\n",
        "# thickness of the waveguide\n",
        "h = 0.22\n",
        "\n",
        "\n",
        "def make_mode_simulation(w):\n",
        "    waveguide = td.Structure(geometry=td.Box(center=(0, 0, 0), size=(h, w, td.inf)), medium=si)\n",
        "\n",
        "    mode_sim = td.ModeSimulation(\n",
        "        center=(0, 0, 0),\n",
        "        size=(size, size, 0),\n",
        "        grid_spec=td.GridSpec.auto(min_steps_per_wvl=25, wavelength=lda0),\n",
        "        structures=[waveguide],\n",
        "        medium=sio2,\n",
        "        symmetry=(1, -1, 0),  # symmetry for the fundamental TE mode\n",
        "        plane=td.Box(center=(0, 0, 0), size=(size, size, 0)),\n",
        "        mode_spec=td.ModeSpec(num_modes=1, target_neff=3.5),\n",
        "        freqs=[freq0],\n",
        "    )\n",
        "\n",
        "    return mode_sim"
      ],
      "id": "8a801507"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We investigate the waveguide width from 100 to 200 nm in increment of 10\n",
        "nm. All 11 mode simulations are passed together to `web.run`, which runs\n",
        "them in parallel. Each result is a `ModeSimulationData`, and we collect\n",
        "the underlying mode data from its `modes` attribute."
      ],
      "id": "6b9ff250-5a61-492d-95d2-ca22ef0aa9a2"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"a1d0634877144f03a410cf9892f2d6f0\",\"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\">22:23:15 UTC </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">11</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\">22:23:24 UTC </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.133</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\":\"8cd5cae0edff4808852f2b20a760a655\",\"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\">22:28:06 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": [
        "w_list = np.linspace(0.1, 0.2, 11)\n",
        "mode_sims = {f\"w={w:.2f}\": make_mode_simulation(w) for w in w_list}\n",
        "\n",
        "mode_results = web.run(mode_sims)\n",
        "mode_data = {key: result.modes for key, result in mode_results.items()}"
      ],
      "id": "e36eecac"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Mode Overlap Integral\n",
        "\n",
        "After running the mode simulations, we are ready to perform the mode\n",
        "overlap integral (modal decomposition) between the waveguide mode and\n",
        "the Gaussian mode for each waveguide width. This can be achieved easily\n",
        "with the built-in `outer_dot` method, which implements\n",
        "\n",
        "$$\\frac{1}{4} \\int \n",
        "\\left( \n",
        "    \\mathbf{E}_0 \\times \\mathbf{H}_1^*\n",
        "    + \n",
        "    \\mathbf{H}_0^* \\times \\mathbf{E}_1\n",
        "\\right) \\cdot\n",
        "\\, d\\mathbf {S}.$$\n",
        "\n",
        "After the overlap integrals are calculated, we can plot the coupling\n",
        "efficiency as a function of the waveguide width to identify the optimal\n",
        "value. In this case, the optimal width is between 130 and 140 nm."
      ],
      "id": "e23ab74a-7967-4ad7-b843-b4d1d8561fe6"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAABJsAAANdCAYAAAAz4X06AAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90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\n61xNAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "overlap = [\n",
        "    mode_data[f\"w={w:.2f}\"].outer_dot(gaussian_beam.field_data).values.squeeze() for w in w_list\n",
        "]\n",
        "\n",
        "plt.plot(1e3 * w_list, np.abs(overlap) ** 2, \"r\", linewidth=2)\n",
        "plt.xlabel(\"Waveguide width (nm)\")\n",
        "plt.ylabel(\"Coupling efficiency\")\n",
        "plt.grid()"
      ],
      "id": "ca0856bd"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Accounting for Fresnel Reflection\n",
        "\n",
        "The overlap integral above measures how well the spatial profiles of the\n",
        "fiber and waveguide modes match, but it assumes both modes propagate in\n",
        "the same medium. What we actually inject at the chip facet is the beam\n",
        "that the fiber emits, which we model as a Gaussian beam propagating\n",
        "through the free space ($n = 1$) in front of the chip.\n",
        "\n",
        "At the facet this beam enters the higher-index waveguide, so part of the\n",
        "power is reflected. We approximate the reflecting medium by the\n",
        "effective index $n_{eff}$ of the waveguide mode returned by the mode\n",
        "solver, since it already accounts for how the field is distributed\n",
        "between the core and the cladding. The Fresnel amplitude reflection\n",
        "coefficient is then\n",
        "\n",
        "$$r = \\frac{1 - n_{eff}}{1 + n_{eff}},$$\n",
        "\n",
        "so a fraction $R = |r|^2$ of the power is reflected and only $T = 1 - R$\n",
        "is transmitted. The actual coupling efficiency is therefore the mode\n",
        "overlap multiplied by the Fresnel transmission $T$."
      ],
      "id": "74b4f935-cd88-437d-b2ea-bef6aa637563"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAABJsAAANdCAYAAAAz4X06AAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90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\n"
          }
        }
      ],
      "source": [
        "n_eff = np.array([mode_data[f\"w={w:.2f}\"].n_eff.values.squeeze() for w in w_list])\n",
        "\n",
        "r_fresnel = (1 - n_eff) / (1 + n_eff)\n",
        "T_fresnel = 1 - np.abs(r_fresnel) ** 2\n",
        "\n",
        "overlap_efficiency = np.abs(overlap) ** 2\n",
        "coupling_efficiency = overlap_efficiency * T_fresnel\n",
        "\n",
        "plt.plot(1e3 * w_list, overlap_efficiency, \"r--\", linewidth=2, label=\"Overlap only\")\n",
        "plt.plot(\n",
        "    1e3 * w_list, coupling_efficiency, \"b\", linewidth=2, label=\"Overlap × Fresnel transmission\"\n",
        ")\n",
        "plt.xlabel(\"Waveguide width (nm)\")\n",
        "plt.ylabel(\"Coupling efficiency\")\n",
        "plt.legend()\n",
        "plt.grid()\n",
        "plt.show()"
      ],
      "id": "847e5202"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Validation with 3D FDTD\n",
        "\n",
        "To verify the semi-analytical coupling efficiency, we model the actual\n",
        "edge coupling process with a full 3D FDTD simulation for each waveguide\n",
        "width. A `GaussianBeam` source reproduces the beam emitted by the fiber\n",
        "and launches it through free space toward the chip facet, where the\n",
        "$\\text{SiO}_2$-clad silicon waveguide begins. Since the semi-analytical\n",
        "overlap assumes the beam waist lies on the facet plane, we set\n",
        "`waist_distance` such that the waist is placed at the facet ($z=0$)\n",
        "rather than at the source plane. A `ModeMonitor` placed inside the\n",
        "waveguide records the fundamental TE mode amplitude; the squared\n",
        "magnitude of its forward-propagating component is the coupling\n",
        "efficiency, which now includes both the modal overlap and the Fresnel\n",
        "reflection at the facet.\n",
        "\n",
        "We define a helper function `make_fdtd_sim` that builds the simulation\n",
        "for a given waveguide width. The free-space region ($z<0$) is the space\n",
        "in front of the chip through which the fiber’s beam propagates, while\n",
        "the silicon core and its $\\text{SiO}_2$ cladding occupy $z>0$."
      ],
      "id": "f2e491eb-0bcf-4446-9b4a-59892fcb878c"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [],
      "source": [
        "size_fdtd = size  # transverse domain taken from the mode plane size, so both use the same window\n",
        "z_src, z_mon, z_min, z_max = -1.5, 3.0, -3.0, 5.0\n",
        "\n",
        "# SiO2 cladding fills the chip side (z > 0); the silicon core sits inside it\n",
        "cladding = td.Structure(\n",
        "    geometry=td.Box(center=(0, 0, z_max), size=(td.inf, td.inf, 2 * z_max)),\n",
        "    medium=sio2,\n",
        ")\n",
        "\n",
        "\n",
        "def make_fdtd_sim(w):\n",
        "    core = td.Structure(\n",
        "        geometry=td.Box(center=(0, 0, z_max), size=(h, w, 2 * z_max)),\n",
        "        medium=si,\n",
        "    )\n",
        "\n",
        "    source = td.GaussianBeam(\n",
        "        center=(0, 0, z_src),\n",
        "        size=(td.inf, td.inf, 0),\n",
        "        source_time=td.GaussianPulse(freq0=freq0, fwidth=freq0 / 10),\n",
        "        direction=\"+\",\n",
        "        waist_radius=r_beam,\n",
        "        waist_distance=z_src,  # negative value places the waist at the chip facet (z=0), matching the overlap model\n",
        "        pol_angle=np.pi / 2,  # y-polarized for the TE mode\n",
        "    )\n",
        "\n",
        "    mode_monitor = td.ModeMonitor(\n",
        "        center=(0, 0, z_mon),\n",
        "        size=(size_fdtd, size_fdtd, 0),\n",
        "        freqs=[freq0],\n",
        "        mode_spec=td.ModeSpec(num_modes=1, target_neff=3.5),\n",
        "        name=\"mode\",\n",
        "    )\n",
        "\n",
        "    sim = td.Simulation(\n",
        "        center=(0, 0, (z_min + z_max) / 2),\n",
        "        size=(size_fdtd, size_fdtd, z_max - z_min),\n",
        "        grid_spec=td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lda0),\n",
        "        structures=[cladding, core],\n",
        "        sources=[source],\n",
        "        monitors=[mode_monitor],\n",
        "        run_time=2e-12,\n",
        "        medium=td.Medium(permittivity=1),  # free space on the fiber side\n",
        "        symmetry=(1, -1, 0),\n",
        "        boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n",
        "    )\n",
        "\n",
        "    return sim"
      ],
      "id": "bd687053"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Before launching the batch, we visualize the simulation setup for the\n",
        "optimal width to confirm that the source, monitor, and geometry are\n",
        "placed correctly. The left panel shows the propagation plane with the\n",
        "free-space input region, the facet at $z=0$, the source, and the mode\n",
        "monitor; the right panel shows the transverse plane at the monitor."
      ],
      "id": "698c3512-84d1-4bc9-bcdd-fe429f67cbbe"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAAB6oAAALrCAYAAABH1gnhAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90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\nRK5CYII=\n"
          }
        }
      ],
      "source": [
        "sim_example = make_fdtd_sim(0.13)\n",
        "\n",
        "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(11, 4))\n",
        "sim_example.plot(y=0, ax=ax1)\n",
        "sim_example.plot(z=z_mon, ax=ax2)\n",
        "plt.tight_layout()\n",
        "plt.show()"
      ],
      "id": "7193c9ec"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We pass all 11 simulations together to `web.run`, which runs them in\n",
        "parallel, then read the coupling efficiency from each mode monitor."
      ],
      "id": "28c22e89-9e41-49f4-83fc-dc02b3f79987"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"fc2997d5868b49ee9e2d6754a2a89d33\",\"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\">22:28:15 UTC </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Mode monitor </span><span style=\"color: #008000; text-decoration-color: #008000\">'mode'</span><span style=\"color: #800000; text-decoration-color: #800000\"> has a large number </span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5.84e+05</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">)</span><span style=\"color: #800000; text-decoration-color: #800000\"> of grid </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">points. This can lead to solver slow-down and increased cost.      </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">Consider making the size of the component smaller, as long as the  </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">modes of interest decay by the plane boundaries.                   </span>\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><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Suppressed </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span><span style=\"color: #800000; text-decoration-color: #800000\"> WARNING message.                             </span>\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><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Mode monitor </span><span style=\"color: #008000; text-decoration-color: #008000\">'mode'</span><span style=\"color: #800000; text-decoration-color: #800000\"> has a large number </span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5.84e+05</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">)</span><span style=\"color: #800000; text-decoration-color: #800000\"> of grid </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">points. This can lead to solver slow-down and increased cost.      </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">Consider making the size of the component smaller, as long as the  </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">modes of interest decay by the plane boundaries.                   </span>\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><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Mode monitor </span><span style=\"color: #008000; text-decoration-color: #008000\">'mode'</span><span style=\"color: #800000; text-decoration-color: #800000\"> has a large number </span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5.84e+05</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">)</span><span style=\"color: #800000; text-decoration-color: #800000\"> of grid </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">points. This can lead to solver slow-down and increased cost.      </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">Consider making the size of the component smaller, as long as the  </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">modes of interest decay by the plane boundaries.                   </span>\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><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Mode monitor </span><span style=\"color: #008000; text-decoration-color: #008000\">'mode'</span><span style=\"color: #800000; text-decoration-color: #800000\"> has a large number </span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5.84e+05</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">)</span><span style=\"color: #800000; text-decoration-color: #800000\"> of grid </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">points. This can lead to solver slow-down and increased cost.      </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">Consider making the size of the component smaller, as long as the  </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">modes of interest decay by the plane boundaries.                   </span>\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><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Mode monitor </span><span style=\"color: #008000; text-decoration-color: #008000\">'mode'</span><span style=\"color: #800000; text-decoration-color: #800000\"> has a large number </span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5.84e+05</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">)</span><span style=\"color: #800000; text-decoration-color: #800000\"> of grid </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">points. This can lead to solver slow-down and increased cost.      </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">Consider making the size of the component smaller, as long as the  </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">modes of interest decay by the plane boundaries.                   </span>\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><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Mode monitor </span><span style=\"color: #008000; text-decoration-color: #008000\">'mode'</span><span style=\"color: #800000; text-decoration-color: #800000\"> has a large number </span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5.85e+05</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">)</span><span style=\"color: #800000; text-decoration-color: #800000\"> of grid </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">points. This can lead to solver slow-down and increased cost.      </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">Consider making the size of the component smaller, as long as the  </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">modes of interest decay by the plane boundaries.                   </span>\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><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Mode monitor </span><span style=\"color: #008000; text-decoration-color: #008000\">'mode'</span><span style=\"color: #800000; text-decoration-color: #800000\"> has a large number </span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5.85e+05</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">)</span><span style=\"color: #800000; text-decoration-color: #800000\"> of grid </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">points. This can lead to solver slow-down and increased cost.      </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">Consider making the size of the component smaller, as long as the  </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">modes of interest decay by the plane boundaries.                   </span>\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><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Mode monitor </span><span style=\"color: #008000; text-decoration-color: #008000\">'mode'</span><span style=\"color: #800000; text-decoration-color: #800000\"> has a large number </span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5.84e+05</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">)</span><span style=\"color: #800000; text-decoration-color: #800000\"> of grid </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">points. This can lead to solver slow-down and increased cost.      </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">Consider making the size of the component smaller, as long as the  </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">modes of interest decay by the plane boundaries.                   </span>\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><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Mode monitor </span><span style=\"color: #008000; text-decoration-color: #008000\">'mode'</span><span style=\"color: #800000; text-decoration-color: #800000\"> has a large number </span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5.85e+05</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">)</span><span style=\"color: #800000; text-decoration-color: #800000\"> of grid </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">points. This can lead to solver slow-down and increased cost.      </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">Consider making the size of the component smaller, as long as the  </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">modes of interest decay by the plane boundaries.                   </span>\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><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Mode monitor </span><span style=\"color: #008000; text-decoration-color: #008000\">'mode'</span><span style=\"color: #800000; text-decoration-color: #800000\"> has a large number </span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">(</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5.85e+05</span><span style=\"color: #800000; text-decoration-color: #800000; font-weight: bold\">)</span><span style=\"color: #800000; text-decoration-color: #800000\"> of grid </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">points. This can lead to solver slow-down and increased cost.      </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">Consider making the size of the component smaller, as long as the  </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">modes of interest decay by the plane boundaries.                   </span>\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>"
            ]
          }
        },
        {
          "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\">22:28:21 UTC </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">11</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\">22:28:31 UTC </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">12.148</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\":\"de097c6fa8d1472a94a439c7da9e0497\",\"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\">22:32:12 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": [
        "fdtd_sims = {f\"w={w:.2f}\": make_fdtd_sim(w) for w in w_list}\n",
        "\n",
        "fdtd_results = web.run(fdtd_sims)"
      ],
      "id": "a4ec3b58"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Finally, we overlay the 3D FDTD coupling efficiency on the\n",
        "semi-analytical results. The FDTD points closely follow the overlap ×\n",
        "Fresnel curve, confirming that the simple overlap integral approach,\n",
        "once corrected for facet reflection, accurately predicts the fiber to\n",
        "waveguide coupling efficiency."
      ],
      "id": "332bfce9-7bc1-47b4-88df-d317dad85bc2"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAABJsAAANdCAYAAAAz4X06AAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90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\nB7hL9ss0xDblAAAAAElFTkSuQmCC\n"
          }
        }
      ],
      "source": [
        "coupling_fdtd = np.array(\n",
        "    [\n",
        "        np.abs(fdtd_results[f\"w={w:.2f}\"][\"mode\"].amps.sel(direction=\"+\").values.squeeze()) ** 2\n",
        "        for w in w_list\n",
        "    ]\n",
        ")\n",
        "\n",
        "plt.plot(1e3 * w_list, overlap_efficiency, \"r--\", linewidth=2, label=\"Overlap only\")\n",
        "plt.plot(\n",
        "    1e3 * w_list, coupling_efficiency, \"b\", linewidth=2, label=\"Overlap × Fresnel transmission\"\n",
        ")\n",
        "plt.plot(1e3 * w_list, coupling_fdtd, \"ko\", markersize=7, label=\"3D FDTD\")\n",
        "plt.xlabel(\"Waveguide width (nm)\")\n",
        "plt.ylabel(\"Coupling efficiency\")\n",
        "plt.legend()\n",
        "plt.grid()\n",
        "plt.show()"
      ],
      "id": "7968e3a9"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "For instance, we can examine the mode profile of the waveguide with a\n",
        "width of 130 nm."
      ],
      "id": "f0d93bfd-f34a-4e8f-a278-8cdac1998ccb"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAABJYAAAOFCAYAAAA4cmjIAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90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\nrkJggg==\n"
          }
        }
      ],
      "source": [
        "optimal_mode = mode_data[\"w=0.13\"]\n",
        "optimal_mode.Ey.abs.plot(vmax=4, cmap=\"hot\")\n",
        "plt.show()"
      ],
      "id": "e09dda27"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "After determining the optimal waveguide geometry, we can examine the\n",
        "impact of misalignment on the coupling efficiency. This scenario becomes\n",
        "relevant as the fiber is often not perfectly aligned with the waveguide\n",
        "in practical situations. To accomplish this, we will employ the\n",
        "`translated_copy(vector)` method, which shifts the mode profile in both\n",
        "the $x$ and $y$ directions. Then we can calculate the overlap integral\n",
        "between the Gaussian beam and the shifted mode profile.\n",
        "\n",
        "As anticipated, the results indicate that the coupling efficiency\n",
        "diminishes when the waveguide mode and Gaussian beam become misaligned."
      ],
      "id": "44dae0a4-8db6-42a2-acf5-c5d9f4dc76bf"
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": "iVBORw0KGgoAAAANSUhEUgAABEgAAAOFCAYAAAB5qtcyAAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90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\nrkJggg==\n"
          }
        }
      ],
      "source": [
        "shift_x_list = np.linspace(0, 3, 7)\n",
        "shift_y_list = np.linspace(0, 5, 11)\n",
        "\n",
        "# use a nested list comprehension to build the array of overlaps\n",
        "shifted_overlap = np.array(\n",
        "    [\n",
        "        [\n",
        "            optimal_mode.translated_copy(vector=(shift_x, shift_y, 0))\n",
        "            .outer_dot(gaussian_beam.field_data)\n",
        "            .values.squeeze()\n",
        "            for shift_x in shift_x_list\n",
        "        ]\n",
        "        for shift_y in shift_y_list\n",
        "    ]\n",
        ")\n",
        "\n",
        "# plot the coupling efficiency\n",
        "plt.pcolormesh(shift_x_list, shift_y_list, np.abs(shifted_overlap) ** 2, cmap=\"hot\")\n",
        "plt.xlabel(\"Shift in x (μm)\")\n",
        "plt.ylabel(\"Shift in y (μm)\")\n",
        "plt.title(\"Coupling Efficiency\")\n",
        "plt.colorbar()\n",
        "plt.show()"
      ],
      "id": "b44aa4a9"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Final Remarks\n",
        "\n",
        "In this example, we set the size of the Gaussian mode plane and\n",
        "waveguide mode plane to be identical. This is not strictly required for\n",
        "the overlap calculation. As long as both planes are sufficiently large\n",
        "and the mode profiles decay to zero at the boundaries, the result will\n",
        "be accurate. The discretization grids of the two profiles are not\n",
        "required to be identical either, since the `outer_dot` method will\n",
        "automatically interpolate the data. However, we need to ensure both\n",
        "grids are sufficiently fine for the profiles to be accurate and to\n",
        "minimize discretization error in the integration.\n",
        "\n",
        "The 3D FDTD simulation is the most accurate prediction of the coupling\n",
        "efficiency, as it captures the full physics at the facet, including\n",
        "reflection and radiation losses. The mode overlap approach, once\n",
        "corrected for the Fresnel reflection, is a fast and reliable\n",
        "approximation that agrees with FDTD to within a few percent. Because the\n",
        "mode solver is lightweight, it can be run locally with `run_local`\n",
        "without submitting any cloud task, which makes it well suited for quick\n",
        "design studies such as the waveguide width optimization above."
      ],
      "id": "95eae71a-ccb1-4db2-8643-aed3d76f2290"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    }
  }
}