{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Tutorial 5: part 2 – silicon slab transmission\n",
        "\n",
        "In this part, we move on to treat more complex material dispersion. As\n",
        "an example, we illustrate how to use our dispersion fitting tool to fit\n",
        "the dispersion relation of crystalline silicon based on tabulated data,\n",
        "and subsequently convert it to Tidy3D components for use in computing\n",
        "silicon slab transmission.\n",
        "\n",
        "## Setup\n",
        "\n",
        "First we import Tidy3D and the other packages needed. If it is not\n",
        "installed, please perform the installation and account authentication by\n",
        "following the detailed instructions\n",
        "[here](https://docs.flexcompute.com/projects/tidy3d/en/stable/quickstart.html)."
      ],
      "id": "84a74681-eaec-443b-9899-729174a4f9a0"
    },
    {
      "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\n",
        "\n",
        "# fitter plugins\n",
        "from tidy3d.plugins.dispersion import FastDispersionFitter as Fitter\n",
        "\n",
        "td.config.local_cache.enabled = False"
      ],
      "id": "efc9db05"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Dispersion Fitter\n",
        "\n",
        "We load the dispersion data for crystalline silicon at room temperature\n",
        "directly from a URL. Considering that we are interested in the solar\n",
        "cell applications, we narrow the wavelength range to \\[0.4 um,1.2 um\\]\n",
        "to perform the fitting."
      ],
      "id": "154ee6b7-34f4-4fa5-bd26-d962a4a5888e"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "fitter = Fitter.from_url(\n",
        "    \"https://refractiveindex.info/data_csv.php?datafile=database/data/main/Si/nk/Green-2008.yml\"\n",
        ")\n",
        "fitter = fitter.copy(update={\"wvl_range\": (0.4, 1.2)})  # um"
      ],
      "id": "00e3fded"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Let’s visualize the complete dispersion data."
      ],
      "id": "4b10fb4b-af0f-459e-8f92-97cb4c9f546e"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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VFhaG9H4AACSygWe3p+flD3t2e3pe/rif3cb4NTU16ctf/rJ+85vfDBu/6aab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AIEoI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\nJmBERERERER28v8A1IAtUlbNMPoAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "plt.rcParams.update({\"font.size\": 18})\n",
        "fig, ax = plt.subplots(1, figsize=(5, 4))\n",
        "ax.scatter(\n",
        "    fitter.wvl_um,\n",
        "    fitter.n_data,\n",
        "    label=\"n\",\n",
        "    color=\"crimson\",\n",
        "    edgecolors=\"black\",\n",
        "    linewidth=0.5,\n",
        ")\n",
        "ax.scatter(\n",
        "    fitter.wvl_um,\n",
        "    fitter.k_data,\n",
        "    label=\"k\",\n",
        "    color=\"blueviolet\",\n",
        "    edgecolors=\"black\",\n",
        "    linewidth=0.5,\n",
        ")\n",
        "ax.set_xlabel(r\"Wavelength ($\\mu m$)\")\n",
        "ax.legend()\n",
        "plt.show()"
      ],
      "id": "d2b2c59c"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The fitting is then performed. More details on setting up the fitter can\n",
        "be found\n",
        "[here](https://docs.flexcompute.com/projects/tidy3d/en/latest/notebooks/Fitting.html)."
      ],
      "id": "e419c41b-90eb-4fa6-a9c3-e1825e6ee6c3"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "Best weighted RMS error: 0.0392 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:00\n"
          ]
        }
      ],
      "source": [
        "medium, rms_error = fitter.fit(max_num_poles=2, tolerance_rms=5e-2)\n",
        "medium = medium.copy(update={\"name\": \"fitted silicon\"})"
      ],
      "id": "8711ccaf"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Let’s visualize how well the fit captures the dispersion data in the\n",
        "wavelength range of interest. As you can see, this fit looks great and\n",
        "should be sufficient for our simulation."
      ],
      "id": "ad2c9a10-42b9-46ca-81f6-d3e3370833b7"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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jx4/HPffcY/b906ZNE5UrKystXrpgjjNnzujVBQcHS+5n+/btuHnzpqhu2bJlaNSokVnt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ZSUFHXt2lVnnXWWLrjgAsXHxwe8b2GGYRgB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\ngy8ef/xxS5+HDh0a7G6FrPz8fKNBgwam81WvXj0jNTXVo/K7d+82YmNjT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          }
        }
      ],
      "source": [
        "fig, ax = plt.subplots(1, figsize=(6, 5))\n",
        "fitter.plot(medium, ax=ax)\n",
        "plt.show()"
      ],
      "id": "4455ecc6"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "### Other Basic Setups\n",
        "\n",
        "Now let us setup the rest of the basic components."
      ],
      "id": "398c2cc2-14ce-4822-b6a3-0982ab24cf3d"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [],
      "source": [
        "# Wavelength and frequency range\n",
        "lambda_range = (0.4, 1.2)\n",
        "lam0 = np.sum(lambda_range) / 2\n",
        "freq_range = (td.constants.C_0 / lambda_range[1], td.constants.C_0 / lambda_range[0])\n",
        "\n",
        "# frequencies and wavelengths of monitor\n",
        "Nfreq = 333\n",
        "monitor_freqs = np.linspace(freq_range[0], freq_range[1], Nfreq)\n",
        "monitor_lambdas = td.constants.C_0 / monitor_freqs\n",
        "\n",
        "# central frequency, frequency pulse width and total running time\n",
        "freq0 = monitor_freqs[Nfreq // 2]\n",
        "freqw = 0.3 * (freq_range[1] - freq_range[0])\n",
        "t_stop = 100 / freq0\n",
        "\n",
        "# Thicknesses of slabs\n",
        "t_slabs = [1.0]  # um\n",
        "\n",
        "# medium of slabs\n",
        "mat_slabs = [medium]\n",
        "\n",
        "# space between slabs and sources and PML\n",
        "spacing = 1 * lambda_range[-1]\n",
        "\n",
        "# simulation size\n",
        "sim_size = Lx, Ly, Lz = (1, 1, 4 * spacing + sum(t_slabs))"
      ],
      "id": "b8694363"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Create Simulation\n",
        "\n",
        "Now we set everything else up (structures, sources, monitors,\n",
        "simulation) to run the example."
      ],
      "id": "c36d30a3-8542-438a-ab64-596d30225f0b"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [],
      "source": [
        "# First, we define the multilayer stack structure (a single layer in this example).\n",
        "slabs = []\n",
        "slab_position = -Lz / 2 + 2 * spacing\n",
        "\n",
        "for count_slab, (t, mat) in enumerate(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",
        "        name=\"slab\" + str(count_slab),\n",
        "    )\n",
        "    slabs.append(slab)\n",
        "    slab_position += t\n",
        "\n",
        "# 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=freq0, fwidth=freqw),\n",
        "    size=(td.inf, td.inf, 0),\n",
        "    center=(0, 0, -Lz / 2 + spacing * 1.5),\n",
        "    direction=\"+\",\n",
        "    pol_angle=0,\n",
        "    name=\"planewave\",\n",
        ")\n",
        "\n",
        "# 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=monitor_freqs,\n",
        "    name=\"trans\",\n",
        ")"
      ],
      "id": "51ddc681"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Now it is time to define the simulation object."
      ],
      "id": "c830f68e-07f7-40e3-912a-b1e7c018258f"
    },
    {
      "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=30),\n",
        "    structures=slabs,\n",
        "    sources=[source],\n",
        "    monitors=[monitor],\n",
        "    run_time=t_stop,\n",
        "    boundary_spec=td.BoundarySpec.pml(z=True),\n",
        ")"
      ],
      "id": "5fdfbdf1"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Plot the Structure"
      ],
      "id": "208d47bb-a3b4-4778-9a6b-8962b6c3f553"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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Xr17KyclR27ZtlZWVpfLyci1fvlzr16/32ufhhx/Ws88+2+y2Fy1apDPPPFM1NTWSJIfD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\nTjnlFPXt21dpaWk66aSTNHHiRK8zNeoSzHE0tu4+ffrY29u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N8aDx+JcE/r+//OUvmjZt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\nSUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "plt.rcParams.update({\"font.size\": 12})\n",
        "fig, ax = plt.subplots(1, tight_layout=True, figsize=(4, 6))\n",
        "sim.plot(y=0, freq=freq0, ax=ax)\n",
        "ax.set_title(\"\")\n",
        "ax.set_xlabel(r\"x ($\\mu$m)\")\n",
        "ax.set_ylabel(r\"z ($\\mu$m)\")\n",
        "plt.show()"
      ],
      "id": "1eb7492b"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Run the Simulation\n",
        "\n",
        "We will submit the simulation to run as a new project."
      ],
      "id": "3161484c-36da-4bf4-a681-d6191044b37c"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "21:10:54 UTC Created task 'lecture05_silicon' with resource_id                  \n",
            "             'fdve-843ca463-9e17-44a1-8145-ca3079792897' and task_type 'FDTD'.  \n",
            "             View task using web UI at                                          \n",
            "             'https://tidy3d.simulation.cloud/workbench?taskId=fdve-843ca463-9e1\n",
            "             7-44a1-8145-ca3079792897'.                                         \n",
            "             Task folder: 'default'.                                            \n",
            "↑ simulation.hdf5.gz ━━━━━━━━━━━━━━━━━━━━━━━━━ 100.0% • 4.6/4.6 kB • ? • 0:00:00\n",
            "\n",
            "21:10:56 UTC Estimated FlexCredit cost: 0.154. This assumes the FDTD solver runs\n",
            "             for the full simulation time; if early shutoff is reached, the     \n",
            "             billed cost can be lower. Use 'web.real_cost(task_id)' to get the  \n",
            "             billed FlexCredit cost after a simulation run.                     \n",
            "21:11:00 UTC status = queued                                                    \n",
            "             To cancel the simulation, use 'web.abort(task_id)' or              \n",
            "             'web.delete(task_id)' or abort/delete the task in the web UI.      \n",
            "             Terminating the Python script will not stop the job running on the \n",
            "             cloud.                                                             \n",
            "21:12:02 UTC starting up solver                                                 \n",
            "             running solver                                                     \n",
            "21:12:29 UTC early shutoff detected at 72%, exiting.                            \n",
            "solver progress (field decay = 1.30e-05) ━━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:00\n",
            "\n",
            "21:12:30 UTC status = success                                                   \n",
            "             View simulation result at                                          \n",
            "             'https://tidy3d.simulation.cloud/workbench?taskId=fdve-843ca463-9e1\n",
            "             7-44a1-8145-ca3079792897'.                                         \n",
            "↓ simulation_data.hdf5.gz ━━━━━━━━━━━━━━━━━━ 100.0% • 10.2/10.2 kB • ? • 0:00:00\n",
            "\n",
            "             Loading results from data/data_silicon.hdf5                        "
          ]
        }
      ],
      "source": [
        "sim_data = web.run(sim, task_name=\"lecture05_silicon\", path=\"data/data_silicon.hdf5\")"
      ],
      "id": "b666d5c7"
    },
    {
      "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 compare the transmitted flux computed from a transfer matrix\n",
        "method (TMM) [code](https://github.com/sbyrnes321/tmm) to that computed\n",
        "from the FDTD simulation."
      ],
      "id": "8e9c8416-6f0d-44b0-9d00-e892bd730890"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [],
      "source": [
        "# import TMM package\n",
        "import tmm\n",
        "\n",
        "# prepare list of thicknesses including air boundaries\n",
        "d_list = [np.inf] + t_slabs + [np.inf]\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, np.sqrt(medium.eps_model(td.C_0 / lam)), 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": "9443d43e"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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nnjrk+f74xz9mfKOh0+lwyCGHYNGiRTjrrLOgVqtHNHZCSPmweR0AgHCPB1FX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F/PmTOnwCMlhJDC8aTo1KnX68uqFNYXCoi2VYohSmHl5dsV1hv0g89wPc50tEo1Qm1O+Df0ILCl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\nEbXI/wOZQYoKpQq5sQAAAABJRU5ErkJggg==\n"
          }
        }
      ],
      "source": [
        "transmission = sim_data[\"trans\"].flux\n",
        "fig, ax = plt.subplots(1, figsize=(5, 4))\n",
        "\n",
        "ax.plot(monitor_lambdas, transmission_tmm, \"-\", label=\"TMM\")\n",
        "ax.plot(monitor_lambdas, transmission, \"k--\", label=\"Tidy3D\")\n",
        "ax.set_xlabel(r\"Wavelength ($\\mu m$)\")\n",
        "ax.set_ylabel(\"Transmission\")\n",
        "ax.set_xlim(fitter.wvl_range)\n",
        "ax.legend()\n",
        "plt.show()"
      ],
      "id": "961a67bd"
    }
  ],
  "nbformat": 4,
  "nbformat_minor": 5,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    }
  }
}