{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Modeling dispersive materials\n",
        "\n",
        "## Introduction / Setup\n",
        "\n",
        "Here we show how to model dispersive materials in `Tidy3D` with an\n",
        "example showing transmission spectrum of a multilayer stack of slabs.\n",
        "\n",
        "If you are new to the finite-difference time-domain (FDTD) method, we\n",
        "highly recommend going through our\n",
        "[FDTD101](https://www.flexcompute.com/fdtd101/) tutorials. For\n",
        "simulation examples, please visit our [examples\n",
        "page](https://www.flexcompute.com/tidy3d/examples/). FDTD simulations\n",
        "can diverge due to various reasons. If you run into any simulation\n",
        "divergence issues, please follow the steps outlined in our\n",
        "[troubleshooting\n",
        "guide](https://www.flexcompute.com/tidy3d/examples/notebooks/DivergedFDTDSimulation/)\n",
        "to resolve it."
      ],
      "id": "df2a3b01-882e-493f-88b8-c6e668a3a36c"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "# standard python imports\n",
        "import matplotlib.pyplot as plt\n",
        "import numpy as np\n",
        "import tidy3d as td\n",
        "from tidy3d import web"
      ],
      "id": "cbdc1c10"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "First, we define basic simulation-related parameters. To simplify the\n",
        "initialization and management of frequency-related variables, we use the\n",
        "convenience class\n",
        "[FreqRange](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FreqRange.html)."
      ],
      "id": "42e6a60b-6e5e-4c9a-9f83-1713043a6272"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Wavelength interval and number of sampled frequencies\n",
        "wvl_min = 0.5\n",
        "wvl_max = 1.5\n",
        "Nfreq = 333\n",
        "\n",
        "# initialize frequency range, wavelengths of monitor\n",
        "freq_range = td.FreqRange.from_wvl_interval(wvl_min=wvl_min, wvl_max=wvl_max)\n",
        "monitor_lambdas = freq_range.wvls(num_points=Nfreq, spacing=\"uniform_freq\")[::-1]\n",
        "\n",
        "# central frequency, frequency pulse width and total running time\n",
        "t_stop = 100 / freq_range.freq0\n",
        "\n",
        "# Thicknesses of slabs\n",
        "t_slabs = [0.5, 0.2, 0.4, 0.3]  # um\n",
        "\n",
        "# Grid resolution (min steps per wavelength in a material)\n",
        "res = 40\n",
        "\n",
        "# space between slabs and sources and PML\n",
        "spacing = wvl_max\n",
        "\n",
        "# simulation size\n",
        "sim_size = Lx, Ly, Lz = (1.0, 1.0, 4 * spacing + sum(t_slabs))"
      ],
      "id": "5d01ccf8"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Defining Materials (4 Ways)\n",
        "\n",
        "Here, we will illustrate defining materials in four different ways:\n",
        "\n",
        "1.  Simple, lossy dielectric defined by a real-valued relative\n",
        "    permittivity, and DC conductivity.\n",
        "2.  **Active** material defined by real and imaginary part of the\n",
        "    refractive index ($n$) and ($k$) at a given frequency. Values are\n",
        "    exact only at that frequency, so this approach is only good for\n",
        "    narrow-band simulations.\n",
        "3.  Simple, lossless dispersive material (one-pole fitting) defined by\n",
        "    the real part of the refractive index $n$ and the dispersion\n",
        "    $\\mathrm{d}n/\\mathrm{d}\\lambda$ at a given frequency. The dispersion\n",
        "    must be negative. This is a convenient approach to incorporate\n",
        "    weakly dispersive materials in your simulations, as the values can\n",
        "    be taken directly from\n",
        "    [refractiveindex.info](https://refractiveindex.info/)\n",
        "4.  Dispersive material imported from our predefined library of\n",
        "    materials.\n",
        "\n",
        "More complicated dispersive materials [can also be\n",
        "defined](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/index.html#dispersive-mediums)\n",
        "through dispersive models like Lorentz, Sellmeier, Debye, or Drude, if\n",
        "the model parameters are known. Finally, arbitrary dispersion data can\n",
        "also be fit, which is a the subject of [this\n",
        "tutorial](https://www.flexcompute.com/tidy3d/examples/notebooks/Fitting/)."
      ],
      "id": "6545f0d2-d2eb-4814-b462-474c1008f748"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "# simple, lossy material\n",
        "mat1 = td.Medium(permittivity=4.0, conductivity=0.005)\n",
        "\n",
        "# active material with n & k values at a specified frequency or wavelength\n",
        "# note: negative k value corresponds to a gain medium; it is only allowed\n",
        "#       when `allow_gain` is set to be True\n",
        "mat2 = td.Medium.from_nk(n=3.0, k=-0.1, freq=freq_range.freq0, allow_gain=True)\n",
        "\n",
        "# weakly dispersive material defined by dn_dwvl at a given frequency\n",
        "mat3 = td.Sellmeier.from_dispersion(n=2.0, dn_dwvl=-0.1, freq=freq_range.freq0)\n",
        "\n",
        "# dispersive material from tidy3d library\n",
        "mat4 = td.material_library[\"BK7\"][\"Zemax\"]\n",
        "\n",
        "# put all together\n",
        "mat_slabs = [mat1, mat2, mat3, mat4]"
      ],
      "id": "a247c903"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Create Simulation\n",
        "\n",
        "Now we set everything else up (structures, sources, monitors,\n",
        "simulation) to run the example.\n",
        "\n",
        "First, we define the multilayer stack structure."
      ],
      "id": "0cf3ea6e-b2f1-4e72-90a2-3c80f4b168d9"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [],
      "source": [
        "slabs = []\n",
        "slab_position = -Lz / 2 + 2 * spacing\n",
        "for t, mat in zip(t_slabs, mat_slabs):\n",
        "    slab = td.Structure(\n",
        "        geometry=td.Box(\n",
        "            center=(0, 0, slab_position + t / 2),\n",
        "            size=(td.inf, td.inf, t),\n",
        "        ),\n",
        "        medium=mat,\n",
        "    )\n",
        "    slabs.append(slab)\n",
        "    slab_position += t"
      ],
      "id": "4622864a"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We must now define the excitation conditions and field monitors. We will\n",
        "excite the slab using a normally incident (along z) planewave, polarized\n",
        "along the x direction."
      ],
      "id": "612dc4a4-8da7-4203-8e66-42f69439dade"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Here we define the planewave source, placed just in advance (towards negative z) of the slab\n",
        "source = td.PlaneWave(\n",
        "    source_time=td.GaussianPulse(freq0=freq_range.freq0, fwidth=0.3 * freq_range.fwidth),\n",
        "    size=(td.inf, td.inf, 0),\n",
        "    center=(0, 0, -Lz / 2 + spacing),\n",
        "    direction=\"+\",\n",
        "    pol_angle=0,\n",
        ")"
      ],
      "id": "46b210a3"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Here we define the field monitor, placed just past (towards positive z)\n",
        "of the stack."
      ],
      "id": "15ad843c-d74d-47d9-8dac-351c472e2c2c"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [],
      "source": [
        "# We are interested in measuring the transmitted flux, so we set it to be an oversized plane.\n",
        "monitor = td.FluxMonitor(\n",
        "    center=(0, 0, Lz / 2 - spacing),\n",
        "    size=(td.inf, td.inf, 0),\n",
        "    freqs=freq_range.freqs(num_points=Nfreq, spacing=\"uniform_freq\"),\n",
        "    name=\"flux\",\n",
        ")"
      ],
      "id": "1e35ad5b"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Next, define the boundary conditions to use PMLs along z and the default\n",
        "periodic boundaries along x and y"
      ],
      "id": "e6330b68-d33f-4454-86f4-8da2cf5d2450"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [],
      "source": [
        "boundary_spec = td.BoundarySpec(\n",
        "    x=td.Boundary.periodic(), y=td.Boundary.periodic(), z=td.Boundary.pml()\n",
        ")"
      ],
      "id": "5bc56da3"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Now it is time to define the simulation object."
      ],
      "id": "b592ba10-53c6-40f8-8454-ef49b64e95b7"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [],
      "source": [
        "sim = td.Simulation(\n",
        "    center=(0, 0, 0),\n",
        "    size=sim_size,\n",
        "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=res),\n",
        "    structures=slabs,\n",
        "    sources=[source],\n",
        "    monitors=[monitor],\n",
        "    run_time=t_stop,\n",
        "    boundary_spec=boundary_spec,\n",
        ")"
      ],
      "id": "a29f27bd"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Plot The Structure\n",
        "\n",
        "Let’s now plot the permittivity profile to confirm that the structure\n",
        "was defined correctly.\n",
        "\n",
        "First we use the `Simulation.plot()` method to plot the materials only,\n",
        "which assigns a different color to each slab without knowledge of the\n",
        "material properties."
      ],
      "id": "208f8013-16f4-4bdb-a80c-97c6558d13aa"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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O73Hjxo0VEhIim82mEydOKDs72/EWs6d45a+s/QWRVOZ9tOq44oorXC63n9ohnX6xQ0JC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\nSUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "sim.plot(x=0)\n",
        "plt.show()"
      ],
      "id": "c7a813b2"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Next, we use `Simulation.plot_eps()` to visualize the permittivity of\n",
        "the stack. However, because the stack contains dispersive materials, we\n",
        "need to specify the `freq` of interest as an argument to the plotting\n",
        "tool. Here we show the permittivity at the lowest and highest\n",
        "frequencies in the range of interest. Note that in this case, the real\n",
        "part of the permittivity (being plotted) only changes slightly between\n",
        "the two frequencies on the dispersive material. However, for other\n",
        "materials with more dispersion, the effect can be much more prominent."
      ],
      "id": "0d3befdf-cfb7-478c-8888-c7f60c062e2e"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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          }
        }
      ],
      "source": [
        "# plot the permittivity at a few frequencies\n",
        "freqs_plot = freq_range.freqs(num_points=2)\n",
        "fig, axes = plt.subplots(1, len(freqs_plot), tight_layout=True, figsize=(12, 4))\n",
        "for ax, freq_plot in zip(axes, freqs_plot):\n",
        "    sim.plot_eps(x=0, freq=freq_plot, ax=ax)\n",
        "plt.show()"
      ],
      "id": "f220f78d"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We can also take a look at the source to make sure it’s defined\n",
        "correctly over our frequency range of interest."
      ],
      "id": "b5a4fa0e-60e4-43e7-84fd-1b4b31a913dc"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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        },
        {
          "output_type": "display_data",
          "metadata": {},
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KCCwBAEBUhAU5fXBKuPTtlNlW6BTe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\nAACQTjLzbXgAABLAVVan3F9+p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          }
        }
      ],
      "source": [
        "# Check probe and source\n",
        "ax1 = sim.sources[0].source_time.plot(times=np.linspace(0, sim.run_time, 1001))\n",
        "ax1.set_xlim(0, 1e-13)\n",
        "ax2 = sim.sources[0].source_time.plot_spectrum(times=np.linspace(0, sim.run_time, 1001))\n",
        "ax2.fill_between(\n",
        "    freq_range.freqs(num_points=2),\n",
        "    [-8e-16, -8e-16],\n",
        "    [8e-16, 8e-16],\n",
        "    alpha=0.4,\n",
        "    color=\"g\",\n",
        "    label=\"measure\",\n",
        ")\n",
        "ax2.legend()\n",
        "plt.show()"
      ],
      "id": "5c0dd136"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Run the simulation\n",
        "\n",
        "We will submit the simulation to run as a new project."
      ],
      "id": "b5118630-2a56-402f-a25d-e692470ba6ad"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "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\">04:00:02 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'dispersion'</span> with resource_id                         \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-ed936cea-8fe0-4af6-a88a-1d802335f6b6'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</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>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-ed936cea-8fe0-4af6-a88a-1d802335f6b6\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-ed936cea-8fe</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-ed936cea-8fe0-4af6-a88a-1d802335f6b6\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">0-4af6-a88a-1d802335f6b6'</span></a>.                                         \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>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/9b36e144-ddb6-41f8-8dd8-30b62b26a870\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                            \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"33f95a1d4d5b481fbf1fc81fe16e7f67\",\"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\">04:00:04 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.104</span>. This assumes the FDTD solver runs\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>for the full simulation time; if early shutoff is reached, the     \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed cost can be lower. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the  \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed FlexCredit cost after a simulation run.                     \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\">04:00:05 UTC </span>status = success                                                   \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"7efa6e297673496891799a4ac8560c57\",\"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>Loading results from data/sim_data.hdf5                            \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "sim_data = web.run(sim, task_name=\"dispersion\", path=\"data/sim_data.hdf5\", verbose=True)"
      ],
      "id": "6d93a780"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Postprocess and Plot\n",
        "\n",
        "Once the simulation has completed, we can download the results and load\n",
        "them into the simulation object.\n",
        "\n",
        "Now, we compute the transmitted flux and plot the transmission spectrum."
      ],
      "id": "1873a828-d9c9-4c18-af24-8f7586c4fc42"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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37jL9iUgu0nlNhcPBgYIqJ7bSERERkd7t3LkT586ds699fHxkn9UkFRQUhPHjxwt7n3zy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\n//mP6VifPn3Uo0cPe5YIAAAAD0XYBI9A2AQAZkFBQ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          }
        }
      ],
      "source": [
        "# Retrieve the power flux through the monitor plane.\n",
        "transmission = sim_data[\"flux\"].flux\n",
        "plt.plot(monitor_lambdas, transmission, color=\"k\")\n",
        "plt.xlabel(\"wavelength (um)\")\n",
        "plt.ylabel(\"transmitted flux\")\n",
        "plt.show()"
      ],
      "id": "59a9eeaa"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "In `Tidy3D`, results are normalized by default. In some cases, and\n",
        "largely depending on the required accuracy, a normalizing run may still\n",
        "be needed. Here, we show how to do such a normalizing run by simulating\n",
        "an empty simulation with the exact same source and monitor but none of\n",
        "the structures."
      ],
      "id": "abc76c8a-8e0f-4694-a0c1-1417d2d0d425"
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "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\">04:00:06 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'docs_dispersion_norm'</span> with resource_id               \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-49c49018-170c-4354-afa2-99f7f904aac4'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</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>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-49c49018-170c-4354-afa2-99f7f904aac4\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-49c49018-170</span></a>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-49c49018-170c-4354-afa2-99f7f904aac4\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">c-4354-afa2-99f7f904aac4'</span></a>.                                         \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>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/9b36e144-ddb6-41f8-8dd8-30b62b26a870\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                            \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"8d17d4cfe3074d24b4019290fa724357\",\"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\">04:00:07 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.025</span>. This assumes the FDTD solver runs\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>for the full simulation time; if early shutoff is reached, the     \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed cost can be lower. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the  \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>billed FlexCredit cost after a simulation run.                     \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\">04:00:08 UTC </span>status = success                                                   \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"c6ae297a4bae412cbf47752117621575\",\"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\">04:00:09 UTC </span>Loading results from data/sim_data.hdf5                            \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "sim_norm = sim.copy(update={\"structures\": []})\n",
        "\n",
        "sim_data_norm = web.run(\n",
        "    sim_norm,\n",
        "    task_name=\"docs_dispersion_norm\",\n",
        "    path=\"data/sim_data.hdf5\",\n",
        "    verbose=True,\n",
        ")\n",
        "transmission_norm = sim_data_norm[\"flux\"].flux"
      ],
      "id": "2e6a1e0e"
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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btgwbN27EoUOH0L9/f6miERERERERERGRiUj2GF1ztFot1Go1FAqFnDF6FD5GR0RERERE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\n1Ph9E1FbGQwGpJ9PFo4tmnOlTGmkp1Q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mU0xMDFauXNnoE8PWlJeXmykREVBeIf79srOz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y/kpGc1ciXhJSadPQyiW3BkI1cSc/bcwicgVtTPHtEqa/H1qu84JiLWTKWuxaIfXkNSbhoAQGwr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\n"
          }
        }
      ],
      "source": [
        "plt.plot(monitor_lambdas, transmission, label=\"with structure\")\n",
        "plt.plot(monitor_lambdas, transmission_norm, label=\"no structure\")\n",
        "plt.plot(monitor_lambdas, transmission / transmission_norm, \"k--\", label=\"normalized\")\n",
        "plt.legend()\n",
        "plt.xlabel(\"wavelength (um)\")\n",
        "plt.ylabel(\"fraction of transmitted power (normalized)\")\n",
        "plt.show()"
      ],
      "id": "4dfb691f"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "We see that since the flux monitor already takes the source power into\n",
        "account, the normalizing run has no visible effect on the results.\n",
        "\n",
        "## Analytical Comparison\n",
        "\n",
        "We will use a transfer matrix method (TMM)\n",
        "[code](https://github.com/sbyrnes321/tmm) to compare `Tidy3D`’s\n",
        "simulated transmission to a semi-analytical result."
      ],
      "id": "9168abcc-f8d0-45bb-8fcf-4b3679adbb45"
    },
    {
      "cell_type": "code",
      "execution_count": 16,
      "metadata": {},
      "outputs": [],
      "source": [
        "# import TMM package\n",
        "import tmm"
      ],
      "id": "d06c77fb"
    },
    {
      "cell_type": "code",
      "execution_count": 17,
      "metadata": {},
      "outputs": [],
      "source": [
        "# prepare list of thicknesses including air boundaries\n",
        "d_list = [np.inf] + t_slabs + [np.inf]\n",
        "\n",
        "# convert the complex permittivities at each frequency to refractive indices\n",
        "n_list1 = np.sqrt(mat1.eps_model(freq_range.freqs(num_points=Nfreq)))\n",
        "n_list2 = np.sqrt(mat2.eps_model(freq_range.freqs(num_points=Nfreq)))\n",
        "n_list3 = np.sqrt(mat3.eps_model(freq_range.freqs(num_points=Nfreq)))\n",
        "n_list4 = np.sqrt(mat4.eps_model(freq_range.freqs(num_points=Nfreq)))\n",
        "\n",
        "# loop through wavelength and record TMM computed transmission\n",
        "transmission_tmm = []\n",
        "for i, lam in enumerate(monitor_lambdas):\n",
        "    # create list of refractive index at this wavelength including outer material (air)\n",
        "    n_list = [1, n_list1[i], n_list2[i], n_list3[i], n_list4[i], 1]\n",
        "\n",
        "    # get transmission at normal incidence\n",
        "    T = tmm.coh_tmm(\"s\", n_list, d_list, 0, lam)[\"T\"]\n",
        "    transmission_tmm.append(T)"
      ],
      "id": "6a74162a"
    },
    {
      "cell_type": "code",
      "execution_count": 18,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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33nhjwPu8/fbbsFqtkMvluP3224cVY2NjI7766isAwMUXX9xn0cJwKRQK3Hpr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EEEL+v737Do+qyv84/pn0SgihBwi9SwtVFEFQQFApIiIqrn11dVfdFday9rZNXdviqruKDcEu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\ncc8992jnzp2Ki4vzBFO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          }
        }
      ],
      "source": [
        "plt.figure()\n",
        "plt.plot(monitor_lambdas, transmission_tmm, label=\"TMM\")\n",
        "plt.plot(monitor_lambdas, transmission / transmission_norm, \"k--\", label=\"Tidy3D\")\n",
        "plt.xlabel(r\"wavelength ($\\mu m$)\")\n",
        "plt.ylabel(\"Transmitted\")\n",
        "plt.legend()\n",
        "plt.show()"
      ],
      "id": "40847cf5"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    }
  }
}