{
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "# Bragg grating filter with phase change material\n",
        "\n",
        "A waveguide Bragg grating filter is a photonic device that reflects\n",
        "specific wavelengths of light using periodic variations along a\n",
        "waveguide. It’s commonly used in optical communications and sensing for\n",
        "its compact size and precise wavelength selectivity. In the work\n",
        "`Boshu Sun, Maoliang Wei, Kunhao Lei, Zequn Chen, Chunlei Sun, Junying Li, Lan Li, and Hongtao Lin, \"Integrated Bragg grating filters based on silicon-Sb2Se3 with non-volatile bandgap engineering capability,\" Opt. Express 31, 27905-27913 (2023)`\n",
        "[DOI: 10.1364/OE.495196](https://doi.org/10.1364/OE.495196), a compact\n",
        "and low-loss reconfigurable Bragg grating filter using phase change\n",
        "material Sb₂Se₃ on silicon is demonstrated. With a footprint of 0.5 µm\n",
        "× 43.5 µm and \\>30 dB extinction ratio, it enables efficient switching\n",
        "without static power, ideal for scalable photonic systems.\n",
        "\n",
        "In this notebook, we design a Bragg grating filter using both FDTD and\n",
        "EME methods. While 3D FDTD offers fully rigorous simulations, it can\n",
        "become computationally expensive for long waveguide gratings. In\n",
        "contrast, EME efficiently handles periodic structures analytically,\n",
        "enabling fast and cost-effective simulations. We compare results from\n",
        "FDTD and EME to validate the accuracy and reliability of the EME\n",
        "approach.\n",
        "\n",
        "<img src=\"img/periodic_eme_grating.png\" width=\"400\" alt=\"Schematic of the Bragg grating filter.\">"
      ],
      "id": "92253a52-39e0-4355-a38b-7f93ede98bfd"
    },
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "import numpy as np\n",
        "import tidy3d as td\n",
        "import tidy3d.web as web\n",
        "from matplotlib import pyplot as plt"
      ],
      "id": "e24aa600"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Simulation Setup\n",
        "\n",
        "We focus on the wavelength range from 1450 nm to 1550 nm. The goal is to\n",
        "design the waveguide Bragg grating to have the stop band at around 1500\n",
        "nm."
      ],
      "id": "93a0a55e-9029-4f55-86b0-00f034768de1"
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "lda0 = 1.5  # central wavelength\n",
        "freq0 = td.C_0 / lda0  # central frequency\n",
        "ldas = np.linspace(1.45, 1.55, 100)  # wavelength range\n",
        "freqs = td.C_0 / ldas  # frequency range\n",
        "fwidth = 0.5 * (np.max(freqs) - np.min(freqs))  # width of the source frequency range\n",
        "shutoff = 2e-8  # smaller than default shutoff to capture low transmission at resonant frequencies"
      ],
      "id": "b5b1576f"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The filtering band can be tuned by changing the Sb₂Se₃ between the\n",
        "crystalline phase and the amorphous phase. Crystalline Sb₂Se₃ has a\n",
        "refractive index of 4.16, while the amorphous Sb₂Se₃ has a refractive\n",
        "index of 3.32. The waveguide is made of silicon on oxide. In this case,\n",
        "we model all mediums as nondispersive since the dispersion within the\n",
        "wavelength range of interest is relatively weak. They can be modeled as\n",
        "dispersive mediums if needed."
      ],
      "id": "63e3a91f-a91a-43e1-83f5-4601b84fe96b"
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "n_aSb2Se3 = 3.32  # refractive index of amorphous Sb₂Se₃\n",
        "n_cSb2Se3 = 4.16  # refractive index of crystalline Sb₂Se₃\n",
        "n_Si = 3.47  # refractive index of silicon\n",
        "n_SiO2 = 1.44  # refractive index of oxide\n",
        "\n",
        "# define the mediums\n",
        "medium_aSb2Se3 = td.Medium(permittivity=n_aSb2Se3**2)\n",
        "medium_cSb2Se3 = td.Medium(permittivity=n_cSb2Se3**2)\n",
        "medium_Si = td.Medium(permittivity=n_Si**2)\n",
        "medium_SiO2 = td.Medium(permittivity=n_SiO2**2)"
      ],
      "id": "ef2fb9a2"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "The waveguide Bragg grating design is a silicon rib waveguide with\n",
        "periodic Sb₂Se₃ blocks on top. For the target Bragg wavelength of 1550\n",
        "nm, we can calculate the appropriate grating period by the Bragg\n",
        "condition\n",
        "\n",
        "$$ \n",
        "\\lambda_B = 2pn_{eff},$$\n",
        "\n",
        "where $p$ is the grating period, \\$n\\_{eff} = ff*n\\_{SOI-SbSe} +\n",
        "(1-ff)*n\\_{SOI} \\$, $ff$ is the filling fraction, $n_{SOI-SbSe}$ is the\n",
        "effective index of the waveguide mode with the Sb₂Se₃ block, and\n",
        "$n_{SOI}$ is the effective index of the waveguide mode without the\n",
        "Sb₂Se₃ block. In this case, we use a filling fraction of 50%.\n",
        "$n_{SOI-SbSe}$ and $n_{SOI}$ can be determined from mode solving. For\n",
        "the sake of keeping this notebook short, we don’t show the mode solving\n",
        "here and only use the calculated effective indices directly. The grating\n",
        "period is calculated to be around 280 nm."
      ],
      "id": "9523cbb1-9b35-42f0-8786-a7cb25e1a08b"
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [
        {
          "output_type": "stream",
          "name": "stdout",
          "text": [
            "For the Bragg wavelength of 1500 nm, the grating period is 283.55 nm."
          ]
        }
      ],
      "source": [
        "w_wg = 0.5  # waveguide width\n",
        "h_wg = 0.22  # waveguide thickness\n",
        "h_etch = 0.13  # etching depth\n",
        "h_pcm = 0.06  # Sb₂Se₃ thickness\n",
        "w_pcm = 0.35  # Sb₂Se₃ width\n",
        "\n",
        "ff = 0.5  # filling fraction\n",
        "\n",
        "n_SOI_SbSe = 2.54  # effective index of the waveguide mode with the Sb₂Se₃ block\n",
        "n_SOI = 2.75  # effective index of the waveguide mode without the Sb₂Se₃ block\n",
        "\n",
        "# calculate the Bragg wavelength\n",
        "n_eff = ff * n_SOI_SbSe + (1 - ff) * n_SOI\n",
        "lambda_B = 1.5\n",
        "p = lambda_B / (2 * n_eff)\n",
        "print(f\"For the Bragg wavelength of 1500 nm, the grating period is {p * 1e3:.2f} nm.\")\n",
        "\n",
        "inf_eff = 1e3  # effective infinity to help with model setup\n",
        "buffer = 0.6 * lda0  # buffer spacing"
      ],
      "id": "3e7e63cb"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Next we define a function `make_structures` to create all the structures\n",
        "in the simulation. This function takes the Sb₂Se₃ medium as an argument\n",
        "so we can switch between the crystalline and amorphous phase."
      ],
      "id": "ca5c23d2-9667-4f1c-a743-a7b603409499"
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [],
      "source": [
        "def make_structures(n: int, medium_Sb2Se3: td.Medium) -> list[td.Structure]:\n",
        "    \"\"\"\n",
        "    Creates a list of Tidy3D structures representing a waveguide with Bragg gratings.\n",
        "\n",
        "    Args:\n",
        "        n (int): Number of grating periods.\n",
        "        medium_Sb2Se3 (td.Medium): Material used for the gratings.\n",
        "\n",
        "    Returns:\n",
        "        List[td.Structure]: List of Tidy3D structures [box, slab, rib, gratings].\n",
        "    \"\"\"\n",
        "\n",
        "    p * n  # length of the grating\n",
        "\n",
        "    # silicon slab structure\n",
        "    slab = td.Structure(\n",
        "        geometry=td.Box.from_bounds(\n",
        "            rmin=(-inf_eff, -inf_eff, 0), rmax=(inf_eff, inf_eff, h_wg - h_etch)\n",
        "        ),\n",
        "        medium=medium_Si,\n",
        "    )\n",
        "\n",
        "    # box structure\n",
        "    box = td.Structure(\n",
        "        geometry=td.Box.from_bounds(\n",
        "            rmin=(-inf_eff, -inf_eff, -inf_eff), rmax=(inf_eff, inf_eff, 0)\n",
        "        ),\n",
        "        medium=medium_SiO2,\n",
        "    )\n",
        "\n",
        "    # rib waveguide structure\n",
        "    rib = td.Structure(\n",
        "        geometry=td.Box.from_bounds(\n",
        "            rmin=(-inf_eff, -w_wg / 2, h_wg - h_etch), rmax=(inf_eff, w_wg / 2, h_wg)\n",
        "        ),\n",
        "        medium=medium_Si,\n",
        "    )\n",
        "\n",
        "    # create the geometries for the gratings\n",
        "    grating_geometries = 0\n",
        "    for i in range(n):\n",
        "        grating_geometries += td.Box.from_bounds(\n",
        "            rmin=(i * p, -w_pcm / 2, h_wg), rmax=(i * p + ff * p, w_pcm / 2, h_wg + h_pcm)\n",
        "        )\n",
        "\n",
        "    # grating structure\n",
        "    gratings = td.Structure(\n",
        "        geometry=grating_geometries,\n",
        "        medium=medium_Sb2Se3,\n",
        "    )\n",
        "\n",
        "    return [box, slab, rib, gratings]"
      ],
      "id": "d3778a42"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## FDTD Simulations\n",
        "\n",
        "First we try to simulate the designed waveguide Bragg grating using\n",
        "FDTD. Since we need to simulate both the crystalline and amorphous\n",
        "Sb₂Se₃ cases, we can create a helper function `make_sim` here and then\n",
        "create a\n",
        "[Batch](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.web.api.container.Batch.html)\n",
        "later to run two simulations in parallel to save time.\n",
        "\n",
        "To ensure accuracy, we use a pretty fine grid with 30 steps per\n",
        "wavelength. Since the grating can be long, a long `run_time` is needed."
      ],
      "id": "884a3e51-cf7e-4811-b1d1-8bc7ffdf7f9f"
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [],
      "source": [
        "def make_sim(n: int, medium_Sb2Se3: td.Medium) -> td.Simulation:\n",
        "    \"\"\"\n",
        "    Constructs a Tidy3D simulation for a Bragg grating waveguide filter.\n",
        "\n",
        "    Args:\n",
        "        n (int): Number of grating periods.\n",
        "        medium_Sb2Se3 (td.Medium): Material used for the phase change gratings.\n",
        "\n",
        "    Returns:\n",
        "        td.Simulation: Configured Tidy3D simulation object.\n",
        "    \"\"\"\n",
        "\n",
        "    l = p * n  # length of the grating\n",
        "\n",
        "    # create a mode source for excitation\n",
        "    mode_spec = td.ModeSpec(num_modes=1, target_neff=n_Si)\n",
        "    mode_source = td.ModeSource(\n",
        "        center=(-buffer / 2, 0, h_wg - h_etch),\n",
        "        size=(0, 4 * w_wg, 4 * h_wg + h_pcm),\n",
        "        source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
        "        direction=\"+\",\n",
        "        mode_spec=mode_spec,\n",
        "        mode_index=0,\n",
        "    )\n",
        "\n",
        "    # add a mode monitor to measure transmission at the output waveguide\n",
        "    mode_monitor = td.ModeMonitor(\n",
        "        center=(l + buffer / 2, 0, h_wg - h_etch),\n",
        "        size=mode_source.size,\n",
        "        freqs=freqs,\n",
        "        mode_spec=mode_spec,\n",
        "        name=\"mode\",\n",
        "    )\n",
        "\n",
        "    run_time = 3e-11  # simulation run time\n",
        "\n",
        "    # construct simulation\n",
        "    sim = td.Simulation(\n",
        "        center=(l / 2, 0, h_wg - h_etch),\n",
        "        size=(l + 2 * buffer, w_wg + 2 * buffer, h_wg + h_pcm + 2 * buffer),\n",
        "        grid_spec=td.GridSpec.auto(min_steps_per_wvl=30, wavelength=lda0),\n",
        "        structures=make_structures(n, medium_Sb2Se3),\n",
        "        sources=[mode_source],\n",
        "        monitors=[mode_monitor],\n",
        "        run_time=run_time,\n",
        "        boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n",
        "        symmetry=(0, -1, 0),\n",
        "        shutoff=shutoff,\n",
        "    )\n",
        "\n",
        "    return sim"
      ],
      "id": "bfbcfa2e"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Now we simulate 150 grating periods. Due to the cost consideration, it\n",
        "might be hard to simulate very long waveguide grating using 3D FDTD."
      ],
      "id": "ce6fdc2e-74c0-40e1-805b-d7f65a37344d"
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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jIwMLFy7En3/+CYPBgLZt2+KBBx5AfHw8gPLfvzfeeAOXL19Gv3798MADD8gv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Ommm6zOq3PnzuLy5csiICDA7OczZsyQ/fnKlsTXXntNtrW2twRRdcAT1xCRy1566SXs378fd9xx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\nRK5CYII=\n"
          }
        }
      ],
      "source": [
        "n = 150  # number of grating periods\n",
        "\n",
        "# create simulations\n",
        "sims = {\"crystalline\": make_sim(n, medium_cSb2Se3), \"amorphous\": make_sim(n, medium_aSb2Se3)}\n",
        "\n",
        "# visualize the simulation setup\n",
        "fig, ax = plt.subplots(2, 1, tight_layout=True)\n",
        "sims[\"crystalline\"].plot(y=0, ax=ax[0])\n",
        "ax[0].set_xlim(-1, 5)\n",
        "\n",
        "sims[\"crystalline\"].plot(z=h_wg, ax=ax[1])\n",
        "ax[1].set_xlim(-1, 5)\n",
        "plt.show()"
      ],
      "id": "8ef56d38"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Run the simulations in parallel."
      ],
      "id": "e6896dc8-ae63-473c-ae4b-864be8ac39b3"
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"159589e274e849ad88e06cb3bb38663e\",\"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\">06:00:25 UTC </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Simulation has </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1.38e+06</span><span style=\"color: #800000; text-decoration-color: #800000\"> time steps. The </span><span style=\"color: #008000; text-decoration-color: #008000\">'run_time'</span><span style=\"color: #800000; text-decoration-color: #800000\"> may be </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">unnecessarily large, unless there are very long-lived resonances.  </span>\n",
              "</pre>"
            ]
          }
        },
        {
          "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: Simulation has </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1.24e+06</span><span style=\"color: #800000; text-decoration-color: #800000\"> time steps. The </span><span style=\"color: #008000; text-decoration-color: #008000\">'run_time'</span><span style=\"color: #800000; text-decoration-color: #800000\"> may be </span>\n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">unnecessarily large, unless there are very long-lived resonances.  </span>\n",
              "</pre>"
            ]
          }
        },
        {
          "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\">06:00:28 UTC </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> tasks.                       \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">06:00:30 UTC </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">22.285</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\":\"ed7b2c66edc749dd82d51cb4ff135351\",\"version_major\":2,\"version_minor\":0,\"quarto_mimetype\":\"application/vnd.jupyter.widget-view+json\"}\n",
              "</script>"
            ]
          }
        }
      ],
      "source": [
        "batch = web.Batch(simulations=sims, verbose=True)\n",
        "batch_results = batch.run(path_dir=\"data\")"
      ],
      "id": "1b942da9"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Check the cost of the simulations. We can see that the cost is\n",
        "substantial."
      ],
      "id": "e58dc544-884e-4ea1-9e96-994a9c1e5a66"
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">06:16:29 UTC </span>Total billed flex credit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">12.679</span>.                             \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "_ = batch.real_cost()"
      ],
      "id": "143ac5d2"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Plot the transmission spectra. We can see that in the crystalline phase,\n",
        "the Bragg wavelength is at 1500 nm as designed. In the amorphous phase,\n",
        "the Bragg wavelength is shifted to a shorter wavelength. Thus, this\n",
        "filter can effectively be tuned between these two spectra."
      ],
      "id": "cd52ac84-62d1-455d-84a8-21ae0089446e"
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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eRu0+QXBgaE0BLjm6C5PSyxHswaScBhI0JzdCe3IjsOo5YMI/gWG3ALrm/WMfz03H1mN7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\nXJz8/PxUq1YttW7dWhUrFu83yB4eHnr66af16KOPa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7ZMiYmJ6t69u9auXat+/frp6NGj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/PwIDA/Hpp5/qOpQXyvbt2xEYGIi1a9c22pylpaWYOXMmpk6diry8vEabVxtWrVqF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\n55ikIiIiIiIiIiIinfs/cJTsKvfQzo0AAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "for phase in [\"crystalline\", \"amorphous\"]:\n",
        "    amp = batch_results[phase][\"mode\"].amps.sel(mode_index=0, direction=\"+\")\n",
        "    T = np.abs(amp) ** 2  # transmission to the top waveguide\n",
        "\n",
        "    plt.plot(ldas, 10 * np.log10(T), linewidth=2, label=phase)\n",
        "\n",
        "plt.legend()\n",
        "plt.xlabel(\"Wavelength (μm)\")\n",
        "plt.ylabel(\"Transmission (dB)\")\n",
        "plt.grid()\n",
        "plt.show()"
      ],
      "id": "8a25587a"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## EME Simulations\n",
        "\n",
        "Now we demonstrate that EME can be an effective and low-cost tool in\n",
        "waveguide Bragg grating design. Tidy3D’s EME solver supports periodic\n",
        "structures and can perform a sweep of the number of periods very\n",
        "quickly. Here we only simulate the amorphous phase but the crystalline\n",
        "phase can be simulated in the same way.\n",
        "\n",
        "A few things to note regarding the EME simulation settings:\n",
        "\n",
        "1.  For the EME grid, we first use\n",
        "    [EMEExplicitGrid](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.EMEExplicitGrid.html)\n",
        "    to define the unit cell that will be periodic and give it a name.\n",
        "    This name will be used later to specify the periodicity sweep.\n",
        "    Outside of the unit cell, we only need one grid and can use a\n",
        "    [EMEUniformGrid](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.EMEUniformGrid.html)\n",
        "    since the waveguide is translationally invariant. The overall EME\n",
        "    grid is then the composite of them. Here we will simulate 50, 150,\n",
        "    and 1000 periods. We will compare the EME result to the FDTD result\n",
        "    in the 150-period case to verify the accuracy of EME.\n",
        "\n",
        "2.  We set `num_mode=1` in the mode specification and set\n",
        "    `constraint=\"unitary\"` in the\n",
        "    [EMESimulation](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.EMESimulation.html).\n",
        "    since we are primarily interested in the propagating mode instead of\n",
        "    the radiation or leakage. Using too many modes can worsen results by\n",
        "    introducing unstable radiative modes, causing mode mismatch between\n",
        "    cells, or creating numerical instabilities."
      ],
      "id": "a996d670-364c-4327-986b-4fc1201929ba"
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [],
      "source": [
        "# define the periodic grid for the grating\n",
        "grating_grid = td.EMEExplicitGrid(\n",
        "    mode_specs=[td.EMEModeSpec(num_modes=1)] * 2, boundaries=[p * ff], name=\"unit cell\"\n",
        ")\n",
        "\n",
        "# define the grid for the waveguide\n",
        "wg_grid = td.EMEUniformGrid(num_cells=1, mode_spec=td.EMEModeSpec(num_modes=1))\n",
        "\n",
        "# define the overall EME grid as a composite\n",
        "eme_grid_spec = td.EMECompositeGrid(\n",
        "    subgrids=[wg_grid, grating_grid, wg_grid], subgrid_boundaries=[0, p]\n",
        ")\n",
        "\n",
        "# using the same in-plane grid spec as the previous FDTD simulations\n",
        "grid_spec = td.GridSpec.auto(min_steps_per_wvl=30, wavelength=lda0)\n",
        "\n",
        "# we will simulate three cases with 50, 150, and 1000 grating periods\n",
        "n_list = [50, 150, 1000]\n",
        "sweep_spec = td.EMEPeriodicitySweep(num_reps=[{\"unit cell\": n} for n in n_list])\n",
        "\n",
        "# define the EME simulation\n",
        "eme_sim = td.EMESimulation(\n",
        "    center=(p / 2, 0, h_wg - h_etch),\n",
        "    size=(p + 2 * buffer, w_wg + 2 * buffer, h_wg + h_pcm + 2 * buffer),\n",
        "    structures=make_structures(1, medium_aSb2Se3),\n",
        "    grid_spec=grid_spec,\n",
        "    eme_grid_spec=eme_grid_spec,\n",
        "    freqs=freqs,\n",
        "    axis=0,\n",
        "    port_offsets=(buffer / 2, buffer / 2),\n",
        "    sweep_spec=sweep_spec,\n",
        "    store_port_modes=False,\n",
        "    constraint=\"unitary\",\n",
        "    symmetry=(0, -1, 0),\n",
        ")"
      ],
      "id": "3dc4c43a"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Visualize the EME simulation."
      ],
      "id": "e8a08df5-09a5-41ca-8bbe-4ef2798c63c4"
    },
    {
      "cell_type": "code",
      "execution_count": 12,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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AACB24vIZs759++qQQw6p96tfv361bjY9duxYffLJJw3e\ngDoWPvvsM0mSz+fTsGHD6mx37LHHSpJs29YXX3xhZJx41QoAAAAgduJyxOzZZ59tVLtQKKQXX3xR\nv/rVr7Ro0SIFg8EYVxZd9ZUNO3fuXG8wPOiggyKPf/jhB02cODHu48SrVgAAAACxk1AX/0hJSdHk\nyZPl9/t11lln6Ve/+pXmz58f9zq2bdsmSQ2e7tepU6fI4+3btxsZJx61FhUV1bmtuLi4SX0BAAAA\n2F9CBbNqZ555plq1aqVPPvlEu3btUtu2beM6/r59+ySpwdMoa26vfk68x4lHrXl5eQ22+fWZrdQq\nPVWpXTlNEs7yhC39+sxWyuj+pVK8PtPlwIWq59igLu/J603IH4sN8gwvVGrn5Fx/eY8jlphfiJWW\noaB+fWYr/ePVYsf6TMifQB6PR126dFFxcbG2b98e92AWCoUk/fi5rfrU3F79nHiPE69aG9KzU4ra\nZXvlzWr6kUOgPr5wWIf0TpMva4e83oS99SKSWPUc65i1WV5Pks6xjoGkXX95jyOWmF+IldSwpUN6\npznaZ0IGM0nauXOnJKlNmzZxH7tly5bau3evKisr621XUVFR6zkmxolHrYWFhXVuKy4uVs+ePZWV\n6VXbXEkpFXW2BZrDK1t5WT550yoleUyXAxeqnmMtUsvkSdY5lmEl7frLexyxxPxCrHjtsDq2djZK\nJWQwW758uXbs2KFBgwYZuax7bm6uCgoKtGfPnnrb1QwsrVq1MjJOPGrNzc1tVLuqkBTe175JfQMN\nsWxLy9avV+/0tvJ5OA0FzovMscx8eZN0jnl2lKhNu+Rcf3mPI5aYX4iVYDikQNVWR/tMuGO6mzZt\n0sUXX6yMjAw9+OCDRmqovoLhxo0bZdt2ne1q3jS7T58+RsaJV60AAAAAYicuR8xuuOEGrV27tt42\ntm1r06ZNWrZsmSorKzVw4ED9/e9/19///veo7f/617+qZ8+esShXhx56qGbNmqWysjItX75cAwYM\niNruyy+/rPUcE+PEq1YAAAAAsROXYPb+++/r66+/btJzli1bpmXLltW5ffr06TELZqeddppuueUW\nSdLrr79eZ9h5/fXXJf14D7HmhB0nxolXrQAAAABiJy7B7PDDD2/WxTHqk5WV5Wh/NQ0ZMkSHHXaY\nvvnmGz3wwAO68sorlZOTU6vNBx98oM8++0ySdMkll8jjafoHSp0YJ161NiQtxSN/qpL2w+dIXB5Z\nys3yypNaIYnPB8B51XMsM6VMniS9KqMniS/+wXscscT8Qqx4bEvpDl9QxmPX98Gkn7EPP/xQY8aM\nUTgc1ogRI/TUU0+pW7dukn48AviLX/xCu3btUqdOnbRixYqoQXHixIlav369srKy9Mknn8RsHCf6\naK6ioiLl5eVp1h0dld8mVVne1o71DUiSLVsbineqe6t2yXvFPCS06jmWk5uvZL1qm6eiSLnpzv4B\nNF54jyOWmF+IlbBslVp7NOzKzSosLGz0xfLqk5x/GoyD448/Xvfdd588Ho/mz5+vXr166aCDDlKn\nTp00ZswY7dq1S7m5uXrzzTfrDDrLly/X4sWLtXTp0piO40QfAAAAAMxJyMvlJ4qrr75agwcP1p/+\n9CfNnz9fa9askSS1aNFCZ555pv7yl7+oc+fOCTFOvGqtS2l5WHv32WqRkhezMfDzFJaltQUF6pLW\nSl5OQ0EMROaYv23ynsq4Z59ycpNz/eU9jlhifiFWQralwuBOR/skmDVg1KhRGjVqlMrKylRQUCC/\n369OnTopNTW1wefOnj1blZWV8vkaXggOZBwn+2iuqpCtQFCSMmI+Fn5ebNtSUWlYdjBD4h40iIHq\nOdY61CJ572NW4ZOyknP95T2OWGJ+IVbscEiVAWc/EeZoMNu6das6derkZJcR+/btUzgcVnZ2dkz6\nb0iLFi2afP+vfv36xWWcWPQBAAAAIH4cPWfjjDPO0Lnnnqvly5c71md5ebnuvvtu9ejRQ6tWrXKs\nXwAAAABIFI4Gs4yMDL344osaOHCgJk6cqFmzZqmqqqpZfS1dulTXX3+9evTooeuvv16FhYXKyEjO\n0zQAAAAAoD6Onsr41ltv6c4779S9996r2bNna/bs2crLy9Mpp5yiYcOGadiwYRowYMB+AcuyLG3Z\nskWLFi3SwoUL9d5772nx4sWR7SeccILuvfdeHXzwwU6WCwAAAAAJwdFg1rJlS91xxx2aNm2abr/9\ndj377LMqLCzUM888o2eeeSbSLiMjQ3l5efL7/SosLNTevXsV7XZqxxxzjKZPn67x48c7WSYAAAAA\nJJSYXBe4S5cueuSRR7R161b9/e9/1+GHHy6v9/+GqqioUEFBgdatW6fi4uJaoaxz58666qqrtHTp\nUi1YsIBQBgAAAMD1Ynq5/JycHF199dW6+uqrtXfvXi1YsEBff/21duzYoV27dqmqqkpt2rRR27Zt\nddBBB2nkyJHq1atXLEsCAAAAgIQTt/uY5eTk6NRTT9Wpp54aryEBAAAAICnE5FRGAAAAAEDjEcwA\nAAAAwDCCGQAAAAAYFrfPmMHd0lI88qdKSqkwXQpcxiNLuVleeVIrJPlMlwMXqp5jmSll8niS8++V\nngwraddf3uOIJeYXYsVjW0qXx9E+CWZwRFamVzktPfJ6C02XApfxyFav/FT5MovlcXgBBKT/m2M5\nmbukJJ1jntZBedOTc/3lPY5YYn4hVlJkK89yNuwn558GAQAAAMBFOGIGR5SWh7V3n60WKXmmS4HL\nhGVpbUGBuqS1kpfTUBADkTnmb5u8pzLu2aec3ORcf3mPI5aYX4iVkG2pMLjT0T4JZnBEVchWIChJ\nGaZLgcvYtqWi0rDsYIbk4YcqnFc9x1qHWsibpHPMU+GTspJz/eU9jlhifiFW7HBIlQHb0T6T80+D\nAAAAAOAiBDMAAAAAMCwuwSwYDMZjGAAAAABISnEJZieeeKIuueQSffrpp/EYDgAAAACSSlyC2b59\n+/T444/r2GOPVf/+/fW3v/1NO3c6exUTAAAAAEhWcQlmkyZNUuvWrSVJK1as0O9//3t17txZkyZN\n0ttvvy3LsuJRBgAAAAAkpLgEsxtvvFEFBQV6/vnndcIJJ8jj8SgYDOrVV1/Vqaeequ7du+uPf/yj\n1q9fH49yAAAAACChxO2qjH6/X+edd57ef/99rV69WtOnT1eHDh0kSVu2bNEdd9yhXr16acyYMXr+\n+edVWVkZr9IAAAAAwCgjl8vv1auXZsyYoc2bN2vWrFk65ZRT5PV6Zdu23n//fU2ePFmdOnXS1Vdf\nrcWLF5soEQAAAADixuh9zFJSUnTGGWforbfe0oYNG3Trrbeqa9eukqSioiL94x//0KGHHqqhQ4fq\nscceU0VFhclyAQAAACAmEuYG061bt1b37t3VuXPn/bZ9/fXXmjp1qnr16qWnn37aQHUAAAAAEDsp\npgv49ttv9Z///EfPPfec9u7dG/l+165dNXXqVLVs2VIzZ87UsmXLtG3bNk2ZMkVFRUW6+uqrDVaN\nn0pL8cifKimFo5pwlkeWcrO88qRWSPKZLgcuVD3HMlPK5PEkzN8rm8STYSXt+st7HLHE/EKseGxL\n6fI43Kdt24722AglJSV67rnn9Oijj+rrr7+OfN/n8+mUU07RtGnTdPLJJ8vr/b8fkJ999pmuvfZa\nLVq0SLm5udq5c6dSUoznyp+9oqIi5eXladYdHZXfJlVZ3tamS4LL2LK1oXinurdqJ4/DCyAg/d8c\ny8nNl5J0jnkqipSb3tJ0Gc3CexyxxPxCrIRlq9Tao2FXblZhYaFyc3MPuM+4JpvPPvtM//nPf/Ti\niy+qvLw88v38/Hxdeumluuyyy6KeyihJw4cP15w5c9S1a1cVFRVp48aN6tWrV7xKBwAAAICYiUsw\nmzlzpv72t79p+fLlke95vV6NHTtW06ZN0/jx4+XzNXx4OS8vT71799bixYtVVFQUy5LRRKXlYe3d\nZ6tFSp7pUuAyYVlaW1CgLmmt5OU0FMRAZI752ybvqYx79iknNznXX97jiCXmF2IlZFsqDO50tM+4\nBLOHHnooEso6dOigSy65RJdffrm6devW5L46dOig7du3KzU11ekycQCqQrYCQUnKMF0KXMa2LRWV\nhmUHMyQPP1ThvOo51jrUQt4knWOeCp+UlZzrL+9xxBLzC7Fih0OqDDj7ibC4BDOv16sTTzxR06ZN\n04QJEw7os2Fz5851sDIAAAAAMC8uwWzOnDlq3ZqLQgAAAABANHE5mZ5QBgAAAAB1S85POQMAAACA\nixDMAAAAAMAwghkAAAAAGEYwAwAAAADDCGYAAAAAYBjBDAAAAAAMI5gBAAAAgGEEMwAAAAAwLMV0\nAXCHtBSP/KmSUipMlwKX8chSbpZXntQKST7T5cCFqudYZkqZPJ7k/HulJ8NK2vWX9zhiifmFWPHY\nltLlcbRPghkckZXpVU5Lj7zeQtOlwGU8stUrP1W+zGJ5HF4AAen/5lhO5i4pSeeYp3VQ3vTkXH95\njyOWmF+IlRTZyrOcDfvJ+adBAAAAAHARjpjBEaXlYe3dZ6tFSp7pUuAyYVlaW1CgLmmt5OU0FMRA\nZI752ybvqYx79iknNznXX97jiCXmF2IlZFsqDO50tE+CGRxRFbIVCEpShulS4DK2bamoNCw7mCF5\n+KEK51XPsdahFvIm6RzzVPikrORcf3mPI5aYX4gVOxxSZcB2tE+CGQAAkgaG98mXpL+4LTNdAADg\ngCXnORsAAAAA4CIEMwAAAAAwjGAGAAAAAIYRzAAAAADAMIIZAAAAABhGMAMAAAAAwwhmAAAAAGAY\nwQwAAAAADCOYAQAAAIBhBDMAAAAAMCzFdAFwh7QUj/ypklIqTJcCl/HIUm6WV57UCkk+0+XAhdww\nxzIyrKRdf92w/5G4mF+IFY9tKV0eR/skmMERWZle5bT0yOstNF0KXMYjW73yU+XLLJbH4QUQkNwx\nx9p4g/KmJ+f664b9j8TF/EKspMhWnuVs2OdURgAAAAAwjCNmcERpeVh799lqkZJnuhS4TFiW1hYU\nqEtaK3k5DQUx4IY5trsooJzc5Fx/3bD/kbiYX4iVkG2pMLjT0T4JZnBEVchWIChJGaZLgcvYtqWi\n0rDsYIbk4YcqnOeGOVZR4ZOyknP9dcP+R+JifiFW7HBIlQHb0T45lREAAAAADCOYAQAAAIBhBDMA\nAAAAMIxgBgAAAACGEcwAAAAAwDCCGQAAAAAYRjADAAAAAMMIZgAAAABgGMEMAAAAAAwjmAEAAACA\nYSmmC4B7eFN8an3cINNlwGWsUEhavkithw+UL4UlC85zwxzLWFiu1kcl5/rrhv2PxMX8QqxUBQJa\n9/FiR/tkhsIRaSke+VMlq7LQdClwGcuylJvllRUokkI+0+XAhdwwx/y+QNKuv27Y/0hczC/ESjhY\npXS/x9E+CWZwRFamV9mZUlXJGtOlwGXssK1e+akKla6T5XV2AQQkd8yxVuklSbv+umH/I3ExvxAr\nYctSXpazYZ/PmAEAAACAYRwxgyNKy8MqKZc6Zfc2XQpcxrIsrS1YqoFDe8rn4zQUOM8Nc6x4U6U6\nJ+n664b9j8TF/EKsBINVKixd5WifBDM4oipkKxCUfOl5pkuB24RCKioNy+fP5YPbiA0XzLGA5U/e\n9dcF+x8JjPmFGLE8AVUGbEf75FRGAAAAADCMYAYAAAAAhhHMAAAAAMAwghkAAAAAGEYwAwAAAADD\nCGYAAAAAYBjBDAAAAAAMI5gBAAAAgGEEMwAAAAAwjGAGAAAAAIYRzAAAAADAsBTTBcAd0lI88qdK\nVmWh6VLgMpZlKTfLKytQJIV8psuBC7lhjvl9gaRdf92w/5G4mF+IlXCwSul+j6N9EszgiKxMr7Iz\npaqSNaZLgcvYYVu98lMVKl0ny+vsAghI7phjrdJLknb9dcP+R+JifiFWwpalvCxnwz6nMgIAAACA\nYRwxgyNKy8MqKZc6Zfc2XQpcxrIsrS1YqoFDe8rn4zQUOM8Nc6x4U6U6J+n664b9j8TF/EKsBINV\nKixd5WifBDM4oipkKxCUfOl5pkuB24RCKioNy+fPlS+FJQsx4II5FrD8ybv+umD/I4ExvxAjlieg\nyoDtaJ+cyggAAAAAhhHMAAAAAMAwghkAAAAAGEYwAwAAAADDCGYAAAAAYBjBDAAAAAAMI5gBAAAA\ngGEEMwAAAAAwjGAGAAAAAIYRzAAAAADAMIIZAAAAABiWYroAuENaikf+VMmqLDRdClzGsizlZnll\nBYqkkM90OXAhN8wxvy+QtOuvG/Y/EhfzC7ESDlYp3e9xtE+CGRyRlelVdqZUVbLGdClwGTtsq1d+\nqkKl62R5nV0AAckdc6xVeknSrr9u2P9IXMwvxErYspSX5WzY51RGAAAAADCMI2ZwRGl5WCXlUqfs\n3qZLgctYlqW1BUs1cGhP+XychgLnuWGOFW+qVOckXX/dsP+RuJhfiJVgsEqFpasc7ZNgBkdUhWwF\ngpIvPc90KXCbUEhFpWH5/LnypbBkIQZcMMcClj95118X7H8kMOYXYsTyBFQZsB3tk1MZAQAAAMAw\nghkAAAAAGEYwAwAAAADDCGYAAAAAYBjBDAAAAAAMI5gBAAAAgGEEMwAAAAAwjGAGAAAAAIYRzAAA\nAADAMIIZAAAAABhGMAMAAAAAw1JMFwB3SEvxyJ8qWZWFpkuBy1iWpdwsr6xAkRTymS4HLuSGOeb3\nBZJ2/XXD/kfiYn4hVsLBKqX7PY72STCDI7IyvcrOlKpK1pguBS5jh231yk9VqHSdLK+zCyAguWOO\ntUovSdr11w37H4mL+YVYCVuW8rKcDfucyggAAAAAhnHEDI4oLQ+rpFzqlN3bdClwGcuytLZgqQYO\n7Smfj9NQ4Dw3zLHiTZXqnKTrrxv2PxIX8wuxEgxWqbB0laN9EszgiKqQrUBQ8qXnmS4FbhMKqag0\nLJ8/V74UlizEgAvmWMDyJ+/664L9jwTG/EKMWJ6AKgO2o31yKiMAAAAAGEYwAwAAAADDCGYAAAAA\nYBjBDAAAAAAMI5gBAAAAgGEEMwAAAAAwjGAGAAAAAIYRzAAAAADAMIIZAAAAABhGMAMAAAAAwwhm\nAAAAAGBYiukC4A5pKR75UyWrstB0KXAZy7KUm+WVFSiSQj7T5cCF3DDH/L5A0q6/btj/SFzML8RK\nOFildL/H0T4JZnBEVqZX2ZlSVcka06XAZeywrV75qQqVrpPldXYBBCR3zLFW6SVJu/66Yf8jcTG/\nECthy1JelrNhn1MZAQAAAMAwjpjBEaXlYZWUS52ye5suBS5jWZbWFizVwKE95fNxGgqc54Y5Vryp\nUp2TdP11w/5H4mJ+IVaCwSoVlq5ytE+CGRxRFbIVCEq+9DzTpcBtQiEVlYbl8+fKl8KShRhwwRwL\nWP7kXX9dsP+RwJhfiBHLE1BlwHa0T05lBAAAAADDCGYAAAAAYBjBDAAAAAAMI5gBAAAAgGF8CrIR\ntm3bprlz52rLli3y+/066KCDNG7cOGVkZBxw3/fff7+2b9/eYLshQ4bo3HPPNVorAAAAgNggmNWj\nvLxcv/vd7/Tvf/9b4XC41racnBzde++9uuSSSw5ojEcffVTff/99g+3OP//8eoNZPGoFAAAAEBsE\nszqEQiFNnDhR7777riTp2GOP1ciRI1VWVqZXX31VmzZt0qWXXqq9e/fq2muvPeDxDjvsMJ199tl1\nbh84cGDC1AoAAADAWQSzOtx///2RoPOXv/xFN954Y2Tbn//8Z02YMEHvvfeefve73+mkk07SwQcf\nfEDjDRo0SNOnT0+KWgEAAAA4i4t/RFFZWakZM2ZI+vHoU82gI0mZmZl66qmnlJ6ernA4rNtuu81E\nmZKSq1YAAAAA0RHMopg3b54KCwslSb/61a+itunYsaMmTpwoSXrjjTdUXl4et/pqSqZaAQAAAERH\nMIvivffeizwePXp0ne3GjBkjSaqoqNBnn30W87qiSaZaAQAAAETHZ8yiqL5KYrt27dSuXbs629W8\nIMf3338fCT/NsXv3bj311FPasGGDPB6P2rdvr2HDhmnw4MEJV2s0aSke+VMlq7LQ0X4By7KUm+WV\nFSiSQj7T5cCF3DDH/L5A0q6/btj/SFzML8RKOFildL/H0T4JZlFs3LhRktSlS5d629XcvmHDhgMa\n86233tJbb7213/cHDx6se+65p84gFY9ai4qK6txWXFwsScrK9Co7U6oqWdOkvoGG2GFbvfJTFSpd\nJ8vr7AIISO6YY63SS5J2/XXD/kfiYn4hVsKWpbwsZ8M+wSyKkpISSVJWVla97Vq2bBl5XFpa2uzx\ncnJyNHz4cHXv3l0dOnRQUVGRPvnkE3399ddasmSJTjrpJP3rX//S5ZdfbqTWvLy8JrUHAAAA0DQE\nsygqKyslSWlpafW28/v9+z2nqR588EENHz5cqamp+22bO3euJk+erKKiIv3qV7+KempjPGutT2l5\nWCXlUqfs3o73jZ83y7K0tmCpBg7tKZ+P01DgPDfMseJNleqcpOuvG/Y/EhfzC7ESDFapsHSVo30S\nzKLIyMhQSUmJAoFAve1qbs/IyGjWWCNHjqxz27hx4/TCCy/opJNOkmVZuvPOO/Xcc8/Fvdbqqz5G\nU1xcrJ49e6oqZCsQlHzpHF2Dw0IhFZWG5fPnypfCkoUYcMEcC1j+5F1/XbD/kcCYX4gRyxNQZcB2\ntM+fzQz9/PPP9dprr0XddvDBB+vCCy+M/H92drZ27NgROU2wLjW3N3QqYXOdeOKJOuyww/TNN99E\nbiJdUzxqzc3NbVJ7AAAAAE3zswlmX3/9te66666o2yZMmFArmHXv3l2rV6/W5s2b6+1zy5Ytkcc9\nevRwptAoDjnkEH3zzTfas2ePKioqah3xSrRaAQAAADTdzyaYDR8+XDNmzIi6rU+fPrX+f+DAgZo3\nb552796tbdu2qWPHjlGft3jx4lrPiZVwOBx57PHUvqJQotUKAAAAoOl+NsHssMMO02GHHdaotied\ndJLuu+8+SdK8efM0ZcqUqO3mzZsn6ccrHh599NHOFBrFN998I+nHe5Wlp6cndK0AAAAAms5ruoBE\ndMIJJ0Ru1vzPf/5Ttr3/B/s2btyo119/XZI0ceLE/QKTU15//XUtXbpU0o8XA0nkWgEAAAA0D8Es\nirS0NP3v//6vJOnLL7/UTTfdVGv73r17NXnyZFVVVSk1NTXS9qfuvfdeTZ8+XX/605+ibp87d24k\ndEXz8ssv64ILLpAkpaam6sYbb4xZrQAAAADM+dmcythUV155pd5//33NmjVLd955p9566y2NHDlS\nZWVlev3117Vnzx5J0kMPPaTevaPfO+aRRx7RypUrlZOTo1tuuWW/7U888YReeOEFde/eXf369VOH\nDh3UunVrFRYWasGCBVq9erWkH0PZU089pX79+sWsVgAAAADmEMzq4PV69d///le33HKL7r//fi1d\nurTW0a2OHTvqH//4hyZNmtTsMU455RStWbNG33zzjTZs2LDfdo/HoxNPPFF33nmnhgwZYrRWAAAA\nALFDMKtHWlqaZsyYoenTp+uDDz7Q5s2b5ff71adPH40YMaLBO8hfd9112rNnT52f6ZoyZYqmTJmi\nnTt3avHixdq2bZt2796tjIwMde7cWUcddVTk82OxrhUAAACAOQSzRsjJydHEiROb/LzLLrusUe3a\ntWunE088scn9R9PcWgEAAACYw8U/AAAAAMAwjpjBEWkpHvlTJauy0HQpcBnLspSb5ZUVKJJCnJIL\n57lhjvl9gaRdf92w/5G4mF+IlXCwSul+j6N9EszgiKxMr7IzpaqSNaZLgcvYYVu98lMVKl0ny+vs\nAghI7phjrdJLknb9dcP+R+JifiFWwpalvCxnwz6nMgIAAACAYRwxgyNKy8MqKZc6ZXOfNDjLsiyt\nLViqgUN7cnVRxIQb5ljxpkp1TtL11w37H4mL+YVYCQarVFi6ytE+CWZwRFXIViAo+dLzTJcCtwmF\nVFQals+fK18KSxZiwAVzLGD5k3f9dcH+RwJjfiFGLE9AlQHb0T45lREAAAAADCOYAQAAAIBhBDMA\nAAAAMIxgBgAAAACGEcwAAAAAwDCCGQAAAAAYRjADAAAAAMMIZgAAAABgGMEMAAAAAAwjmAEAAACA\nYQQzAAAAADAsxXQBcIe0FI/8qZJVWWi6FLiMZVnKzfLKChRJIZ/pcuBCbphjfl8gaddfN+x/JC7m\nF2IlHKxSut/jaJ8EMzgiK9Or7EypqmSN6VLgMnbYVq/8VIVK18nyOrsAApI75lir9JKkXX/dsP+R\nuJhfiJWwZSkvy9mwz6mMAAAAAGAYR8zgiNLysErKpU7ZvU2XApexLEtrC5Zq4NCe8vk4DQXOc8Mc\nK95Uqc5Juv66Yf8jcTG/ECvBYJUKS1c52ifBDI6oCtkKBCVfep7pUuA2oZCKSsPy+XPlS2HJQgy4\nYI4FLH/yrr8u2P9IYMwvxIjlCagyYDvaJ6cyAgAAAIBhBDMAAAAAMIxgBgAAAACGEcwAAAAAwDCC\nGQAAAAAYRjADAAAAAMMIZgAAAABgGMEMAAAAAAwjmAEAAACAYQQzAAAAADCMYAYAAAAAhqWYLgDu\nkJbikT9VsioLTZcCl7EsS7lZXlmBIinkM10OXMgNc8zvCyTt+uuG/Y/ExfxCrISDVUr3exztk2AG\nR2RlepWdKVWVrDFdClzGDtvqlZ+qUOk6WV5nF0BAcscca5VekrTrrxv2PxIX8wuxErYs5WU5G/Y5\nlREAAAAADOOIGRxRWh5WSbnUKbu36VLgMpZlaW3BUg0c2lM+H6ehwHlumGPFmyrVOUnXXzfsfyQu\n5hdiJRisUmHpKkf7JJjBEVUhW4Gg5EvPM10K3CYUUlFpWD5/rnwpLFmIARfMsYDlT9711wX7HwmM\n+YUYsTwBVQZsR/vkVEYAAAAAMIxgBgAAAACGEcwAAAAAwDCCGQAAAAAYRjADAAAAAMMIZgAAAABg\nGMEMAAAAAAwjmAEAAACAYQQzAAAAADCMYAYAAAAAhhHMAAAAAMCwFNMFwB3SUjzyp0pWZaHpUuAy\nlmUpN8srK1AkhXymy4ELuWGO+X2BpF1/3bD/kbiYX4iVcLBK6X6Po30SzOCIrEyvsjOlqpI1pkuB\ny9hhW73yUxUqXSfL6+wCCEjumGOt0kuSdv11w/5H4mJ+IVbClqW8LGfDPqcyAgAAAIBhHDGDI0rL\nwyoplzpl9zZdClzGsiytLViqgUN7yufjNBQ4zw1zrHhTpTon6frrhv2PxMX8QqwEg1UqLF3laJ8E\nMziiKmQrEJR86XmmS4HbhEIqKg3L58+VL4UlCzHggjkWsPzJu/66YP8jgTG/ECOWJ6DKgO1on5zK\nCAAAAACGEcwAAAAAwDCCGQAAAAAYRjADAAAAAMMIZgAAAABgGMEMAAAAAAwjmAEAAACAYQQzAAAA\nADCMYAYAAAAAhhHMAAAAAMAwghkAAAAAGJZiugC4Q1qKR/5UyaosNF0KXMayLOVmeWUFiqSQz3Q5\ncCE3zDG/L5C0668b9j8SF/MLsRIOVind73G0T4IZHJGV6VV2plRVssZ0KXAZO2yrV36qQqXrZHmd\nXQAByR1zrFV6SdKuv27Y/0hczC/EStiylJflbNjnVEYAAAAAMIwjZnBEaXlYJeVSp+zepkuBy1iW\npbUFSzVwaE/5fJyGAue5YY4Vb6pU5yRdf92w/5G4mF+IlWCwSoWlqxztk2AGR1SFbAWCki89z3Qp\ncJtQSEWlYfn8ufKlsGQhBlwwxwKWP3nXXxfsfyQw5hdixPIEVBmwHe2TUxkBAAAAwDCCGQAAAAAY\nRjADAAAAAMMIZgAAAABgGMEMAAAAAAwjmAEAAACAYQQzAAAAADCMYAYAAAAAhhHMAAAAAMAwghkA\nAAAAGEYwAwAAAADDUkwXAHdIS/HInypZlYWmS4HLWJal3CyvrECRFPKZLgcu5IY55vcFknb9dcP+\nR+JifiFWwsEqpfs9jvZJMIMjsjK9ys6UqkrWmC4FLmOHbfXKT1WodJ0sr7MLICC5Y461Si9J2vXX\nDfsfiYv5hVgJW5byspwN+5zKCAAAAACGccQMjigtD6ukXOqU3dt0KXAZy7K0tmCpBg7tKZ+P01Dg\nPDfMseJNleqcpOuvG/Y/EhfzC7ESDFapsHSVo30SzOCIqpCtQFDypeeZLgVuEwqpqDQsnz9XvhSW\nLMSAC+ZYwPIn7/rrgv2PBMb8QoxYnoAqA7ajfXIqIwAAAAAYRjADAAAAAMMIZgAAAABgGMEMAAAA\nAAwjmAEAAACAYQQzAAAAADCMYAYAAAAAhhHMAAAAAMAwghkAAAAAGEYwAwAAAADDCGYAAAAAYFiK\n6QLgDmkpHvlTJauy0HQpcBnLspSb5ZUVKJJCPtPlwIXcMMf8vkDSrr9u2P9IXMwvxEo4WKV0v8fR\nPglmcERWplfZmVJVyRrTpcBl7LCtXvmpCpWuk+V1dgEEJHfMsVbpJUm7/rph/yNxMb8QK2HLUl6W\ns2GfUxkBAAAAwDCOmMERpeVhlZRLnbJ7my4FLmNZltYWLNXAoT3l83EaCpznhjlWvKlSnZN0/XXD\n/kfiYn4hVoLBKhWWrnK0T4IZHFEVshUISr70PNOlwG1CIRWVhuXz58qXwpKFGHDBHAtY/uRdf12w\n/5HAmF+IEcsTUGXAdrRPTmUEAAAAAMMIZgAAAABgGMEMAAAAAAwjmAEAAACAYQQzAAAAADCMYAYA\nAAAAhhHMAAAAAMAwghkAAAAAGEYwAwAAAADDCGYAAAAAYBjBDAAAAAAMSzFdANwhLcUjf6pkVRaa\nLgUuY1mWcrO8sgJFUshnuhy4kBvmmN8XSNr11w37H4mL+YVYCQerlO73ONonwQyOyMr0KjtTqipZ\nY7oUuIwdttUrP1Wh0nWyvM4ugIDkjjnWKr0kaddfN+x/JC7mF2IlbFnKy3I27HMqIwAAAAAYxhEz\nOKK0PKyScqlTdm/TpcBlLMvS2oKlGji0p3w+TkOB89wwx4o3Vapzkq6/btj/SFzML8RKMFilwtJV\njvZJMIMjqkK2AkHJl55nuhS4TSikotKwfP5c+VJYshADLphjAcufvOuvC/Y/EhjzCzFieQKqDNiO\n9smpjAAAAABgGMEMAAAAAAwjmAEAAACAYQQzAAAAADCMYAYAAAAAhhHMAAAAAMAwghkAAAAAGEYw\nAwAAAADDCGYAAAAAYBjBDAAAAAAMI5gBAAAAgGEppguAO6SleORPlazKQtOlwGUsy1JulldWoEgK\n+UyXAxdywxzz+wJJu/66Yf8jcTG/ECvhYJXS/R5H+ySYwRFZmV5lZ0pVJWtMlwKXscO2euWnKlS6\nTpbX2QUQkNwxx1qllyTt+uuG/Y/ExfxCrIQtS3lZzoZ9TmUEAAAAAMM4YgZHlJaHVVIudcrubboU\nuIxlWVpbsFQDh/aUz8dpKHCeG+ZY8aZKdU7S9dcN+x+Ji/mFWAkGq1RYusrRPglmcERVyFYgKPnS\n80yXArcJhVRUGpbPnytfCksWYsAFcyxg+ZN3/XXB/kcCY34hRixPQJUB29E+OZURAAAAAAwjmAEA\nAACAYQQzAAAAADCMYAYAAAAAhhHMAAAAAMAwghkAAAAAGEYwAwAAAADDCGYAAAAAYBjBDAAAAAAM\nI5gBAAAAgGEEMwAAAAAwLMV0AXCHtBSP/KmSVVlouhS4jGVZys3yygoUSSGf6XLgQm6YY35fIGnX\nXzfsfyQu5hdiJRysUrrf42ifBDM4IivTq+xMqapkjelS4DJ22Fav/FSFStfJ8jq7AAKSO+ZYq/SS\npF1/3bD/kbiYX4iVsGUpL8vZsE8wa4RwOKzly5dr27ZtkqT8/Hz1798/JmNt3rxZW7Zskd/vV48e\nPZSbm2ukDwAAAADxQzCrw/vvv6958+Zp4cKF+vrrr1VaWhrZdumll+rRRx91dLxXXnlFf/rTn7R0\n6dLI93w+n8aOHat77rlH/fr1i0sfzVVaHlZJudQpu3fMxsDPk2VZWluwVAOH9pTPx2kocJ4b5ljx\npkp1TtL11w37H4mL+YVYCQarVFi6ytE+CWZ1uOWWW/Tpp59Kkrxer/r166cVK1bEbKzbbrtNkpSZ\nmalBgwaprKxMy5Yt09tvv60PP/xQ77zzjo477riY9nEgqkK2AkHJl54Xk/7xMxYKqag0LJ8/V74U\nlizEgAvmWMDyJ+/664L9jwTG/EKMWJ6AKgO2o31yVcY6jBkzRjNmzND777+v4uJiffvttzEZ5803\n34wEqvHjx2vz5s364osvtHTpUn3zzTfq2rWrKioqNHHiRBUWRv9gtxN9AAAAADCHYFaHW2+9VdOn\nT9cJJ5ygrKysmIxh27auv/56SVL37t31wgsvKC/v//7iOWTIEL344ovyeDzas2eP7rzzzpj0AQAA\nAMAsgplBCxcu1PLlyyVJV199tTIzM/drc9RRR2nUqFGSpKeeekrhcNjxPgAAAACYRTAz6K233oo8\nHj9+fJ3tTj31VEnSjh079NVXXzneBwAAAACzCGYGLVmyRJKUnZ2tgw46qM52RxxxxH7PcbIPAAAA\nAGYRzAxas+bHm4F27dq13nY1t69evdrxPgAAAACYxXVDDSouLpakBm8AXXP73r17He+jIUVFRXVu\nqx4fAAAAQPMRzAwqKyuTJKWnp9fbLiMjI/J43759jvfRkJpXeQQAAADgPE5lNCg1NVWSFAqF6m0X\nDAYjj9PS0hzvAwAAAIBZP5sjZlu2bNGKFSuibmvXrp0GDx4c54qkli1bavfu3SovL6+3Xc3tLVu2\ndLyPhtR3U+ri4mL17NmzSf0BAAAAqO1nE8xmz56tX//611G3TZgwQbNnz45vQZLy8/O1YcMGFRQU\n1Nuu5vZOnTo53kdDGvr8GgAAAIAD87MJZl26dNHo0aOjbjvkkEPiXM2P+vfvr08//VRbt27Vvn37\n6jyStXLlysjjAQMGON6HE9JSPPKnSlZl3UfXgOawLEu5WV5ZgSIp5DNdDlzIDXPM7wsk7frrhv2P\nxMX8QqyEg1VK93sc7fNnE8wmTJigCRMmmC6jlhEjRujRRx9VOBzWggULNG7cuKjt5s+fL0ny+Xw6\n+uijHe/DCVmZXmVnSlUlaxzvGz9vdthWr/xUhUrXyfI6uwACkjvmWKv0kqRdf92w/5G4mF+IlbBl\nKS/L2bDPxT8MGj9+fORCHI8//njUNuXl5XrhhRckSSNHjlTbtm0d7wMAAACAWT+bI2YmfP755yor\nK1NqaqpGjhy53/bc3FxdccUVeuCBB/TSSy9pypQpOvXUU2u1ue6667Rnzx5J0o033hiTPpxQWh5W\nSbnUKbt3TPrHz5dlWVpbsFQDh/aUz8dpKHCeG+ZY8aZKdU7S9dcN+x+Ji/mFWAkGq1RYusrRPglm\nddi6dat++OGHyP/XvNz81q1b9d5770X+PyUlRaNGjdqvj4svvlgrV65UTk5OnTdivvXWWzV37lyt\nWrVKEydO1FVXXaVRo0aprKxMTz/9tObOnStJuuSSSzRmzJiY9XGgqkK2AkHJl849z+CwUEhFpWH5\n/LnypbBkIQZcMMcClj95118X7H8kMOYXYsTyBFQZsB3tkxlah7fffluXXXZZ1G1z5szRnDlzIv/f\nokWLJt+0uVpubq7effddnXvuuVq4cKHuv/9+3X///bXaVB8Ri2UfAAAAAMwhmNUhPz+/zqs4/lRG\nRkbU7w8fPlydO3du8L5h3bp106effqq5c+fq7bff1ubNm+X3+9WnTx+de+65jbrHmhN9AAAAADCD\nYFaHk08+WSeffPIB9TFz5sxGt/X5fDr11FP3+3xYUzjRBwAAAID446qMAAAAAGAYwQwAAAAADCOY\nAQAAAIBhBDMAAAAAMIxgBgAAAACGEcwAAAAAwDCCGQAAAAAYRjADAAAAAMO4wTQckZbikT9VsioL\nTZcCl7EsS7lZXlmBIinkM10OXMgNc8zvCyTt+uuG/Y/ExfxCrISDVUr3exztk2AGR2RlepWdKVWV\nrDFdClzGDtvqlZ+qUOk6WV5nF0BAcscca5VekrTrrxv2PxIX8wuxErYs5WU5G/Y5lREAAAAADOOI\nGRxRWh5WSbnUKbu36VLgMpZlaW3BUg0c2lM+H6ehwHlumGPFmyrVOUnXXzfsfyQu5hdiJRisUmHp\nKkf7JJjBEVUhW4Gg5EvPM10K3CYUUlFpWD5/rnwpLFmIARfMsYDlT9711wX7HwmM+YUYsTwBVQZs\nR/vkVEYAAAAAMIxgBgAAAACGEcwAAAAAwDCCGQAAAAAYRjADAAAAAMMIZgAAAABgGMEMAAAAAAwj\nmAEAAACAYQQzAAAAADCMYAYAAAAAhhHMAAAAAMCwFNMFwB3SUjzyp0pWZaHpUuAylmUpN8srK1Ak\nhXymy4ELuWGO+X2BpF1/3bD/kbiYX4iVcLBK6X6Po30SzOCIrEyvsjOlqpI1pkuBy9hhW73yUxUq\nXSfL6+wCCEjumGOt0kuSdv11w/5H4mJ+IVbClqW8LGfDPqcyAgAAAIBhHDGDI0rLwyoplzpl9zZd\nClzGsiytLViqgUN7yufjNBQ4zw1zrHhTpTon6frrhv2PxMX8QqwEg1UqLF3laJ8EMziiKmQrEJR8\n6XmmS4HbhEIqKg3L58+VL4UlCzHggjkWsPzJu/66YP8jgTG/ECOWJ6DKgO1on5zKCAAAAACGEcwA\nAAAAwDCCGQAAAAAYRjADAAAAAMMIZgAAAABgGMEMAAAAAAwjmAEAAACAYQQzAAAAADCMO+3hgITD\n4chjW1JVIGCuGLhSKGRJkgKBKqVYluFq4EZumGOWZSXt+uuG/Y/ExfxCrAQCVZHHNX8fPhAe27ad\nvWU1flbWr1+vnj176tHr26lj6xQFqphOAAAAcL90v0enXL9V69atU48ePQ64P46YwRFT/7rTdAkA\nAABA0uKIGQ5IKBTS5s2bJUnZ2dnyevnYIn5UXFysnj17SpLWrVunVq1amS0IiIJ5ikTHHEWi+7nO\n0XA4rJKSEklSly5dlJJy4Me7OGKGA5KSkuLIoVu4W6tWrZSbm2u6DKBezFMkOuYoEt3PbY62bt3a\n0f44vAEAAAAAhhHMAAAAAMAwghkAAAAAGEYwAwAAAADDCGYAAAAAYBjBDAAAAAAM4z5mAAAAAGAY\nR8wAAAAAwDCCGQAAAAAYRjADAAAAAMMIZgAAAABgGMEMAAAAAAwjmAEAAACAYQQzAAAAADCMYAYA\nAAAAhhHMAAAAAMCwFNMFAEg833zzjV5//XVt3LhRXq9XPXv21KRJk9SvX78D7vu2227TkiVLGmw3\nePBg/e///q/RWpEYCgoK9PLLL2v58uUqKytTfn6+TjrpJI0aNUper3N/X3RinHjVisRSXl6u1157\nTV988YV2796tNm3a6Mgjj9QZZ5yhFi1aHFDfmzdv1rXXXtuotjfeeKMOP/xwY7UiMYXDYa1YsUKL\nFi3SwoULtWvXLknS6aefrilTpjg6lm3b+vjjj/XOO+9oy5YtyszMVP/+/XXWWWepc+fOcesjadkA\n8P8VFxfbZ599ti0p6tcVV1xhV1ZWHtAYo0ePrrP/ml+jR482XivMmzFjhp2Wlhb1NR4+fLi9fv36\nhBknXrUiscybN8/u1KlT1Ne9Q4cO9ty5cw+o/6VLlzZqzZRkv/HGG0ZrReKZMmWKnZWVFfU1v+66\n6xwda+PGjfaxxx4bdazU1FT7jjvuiEsfyYwjZgAkScFgUGeccYY++ugjSdLZZ5+tcePGKRgM6pVX\nXtG8efP0r3/9S8XFxXr++ecPeLxDDz1UN998c53b27dvnzC1wozbb789ctR0yJAhuuiii5STk6PP\nPvtMjz/+uD777DONGTNGX3zxhdq0aWN0nHjVisSyYMECjR8/XoFAQO3atdOVV16p3r17a82aNfrX\nv/6l7du36/TTT9e8efM0YsSIAx7v5ptv1qGHHlrn9qFDhyZMrUgMX3/9tfbt26d+/frpyCOPVN++\nfev92dtchYWFGjNmjFavXq3U1FRdfPHFGj58uPbu3asnn3xS33zzjf7whz8oGAzq1ltvjVkfSc90\nMgSQGO67777IX6Xuu+++/bb/9re/jWx/+eWXmz1O9RGzsWPHJnytMGfZsmW21+u1Jdnjx4+3q6qq\nam2fO3duZPvUqVONjhOvWpFYgsGg3bt3b1uSnZ+fb2/evLnW9oKCArtLly62JLtnz577zYvGqnnE\nbM6cOQldKxLPV199Ze/duzfy/9u2bYvJEbNp06bZkmyPx2O/9dZbtbYFg0F7woQJtiTb6/XaS5Ys\niVkfyY5gBsAOhUJ2+/btbUn2UUcdFbVNVVWV3a1bN1uSfeihhzZ7rAMNZvGsFeacf/75tiQ7LS3N\n3rZtW9Q2F198sS3J9vl89pYtW4yNE69akViefvrpyC+4zz33XNQ2L7zwQqTNE0880axxnAhm8aoV\niS8WwWzbtm12SkqKLcmeMmVK1DY7duyw/X6/Lck+77zzYtKHG/BJZACaP3++duzYIUm69NJLo7ZJ\nTU2NfEj4u+++05o1a+JWX03JVCuap6qqSm+88YYkafz48erQoUPUdlOnTpUkWZalWbNmGRknXrUi\n8bz00kuSpFatWumss86K2ubMM89UXl5erfYmJFOtSD6zZs1SKBSS9H9r3U+1a9dOp59+uiTpzTff\nVGVlpeN9uAHBDIDmz58feTxq1Kg629Xc9vHHH8eworolU61onm+//VYlJSWS6n+NjzzySGVmZkpq\n3mvsxDjxqhWJp3otGj58uFJTU6O2SUlJ0THHHFOrvQnJVCuST/V8SU9P11FHHVVnu+o1ct++ffr6\n668d78MNCGYA9P3330v68UhTr1696mxX8xL0P/zwwwGNuX37dt1+++266KKLdOGFF+q6667T888/\nH/klN5FqRXxVv8aS1L9//zrbpaSkROZAc15jJ8aJV61ILFu3blVxcbGk+l936f/WotLSUm3evPmA\nxp07d66uueYaTZ48WZdddpn+8pe/6PPPP0/IWvHzUb0O9urVS2lpaXW2q+/nshN9uAFXZQSggoIC\nSVLHjh3rvddS9fZwOKwtW7Yc0JiLFy/W4sWL9/t+dna2br75Zv3+97+Xx+NJiFoRX9WvsSTl5+fX\n2zY/P19Lly5t1mvsxDjxqhWJpamve7UtW7aoS5cuzR7373//e9TvH3744Zo5c6YGDx683zZTteLn\no3qONXV+Od2HGxDMAKi0tFSSGry5qMfjUUZGhsrKyrRv375mj9enTx+NHj1aPXv2VKdOnVRSUqIv\nvvhCL774okpKSnTDDTdoxYoVmjlzpvFaEX/Vr7HU8Otcvb2srMzIOPGqFYmlOa+7pGavRWlpaRo1\napSGDh2qrl27qmXLltq4caNee+01LVq0SF9//bWGDRumDz74QMOGDTNaK35+Gvtzub755UQfbkAw\nA6CqqipJP55u1ZC0tDSVlZUpEAg0a6z//Oc/6tGjx37fv+KKK/SnP/1Jp59+upYsWaLHH39cY8eO\n1bnnnmusVphR/RpLDb/O1ae8WJalUCjUqHnh5DjxqhWJpTmvu6RmrUXdu3fXli1b1LZt2/223XTT\nTXrsscd0+eWXq6KiQuedd55Wrlwpv99vpFb8/Ni2rWAwKKn588uJPtyCz5gBiFyUoDGLXEVFhaSG\n/6pVl2ihrFq3bt30+uuvKz09XZJ0zz337NcmnrXCjOrXWGr4da5+jdPS0pocdJwYJ161IrE053WX\nmrcWtWzZMmooq3bppZfqhhtukCRt3LhRr7zyirFa8fNTfXaK1Pz55UQfbsFPBsClvvjiC/3tb3+L\nuq1Pnz76y1/+Evn/nJwcSYp8QLwugUAgcnna7OxsZwr9iW7dumn8+PF6+eWX9dVXX2nfvn1q2bJl\nQtaK2Kh+jaWGX+e9e/dKat5r7MQ48aoViaU5r7sUu9f+qquu0owZMyRJH330kSZPnhzZlmi1wn1y\ncnJUUVFxQPPLiT7cgGAGuNSWLVv2+8tptZ9eirZXr1766KOPtHPnTlVUVET+cvVTmzZtijzu3bu3\nc8X+RN++fSX9eHrDjh07agWzRKsVzqt5tc2NGzdqyJAhdbbduHGjpOa9xk6ME69akVh69eolj8cj\n27Yjr2tdam6P1Wufn5+vFi1aqKysTNu2bUvoWuE+vXr10vbt2w9ofjnRhxtwKiPgUkcffbReeuml\nqF/Vf1mtVvNKXt99912dfX7zzTeRx4MGDXK85mo1T2X46WVzE61WOK/ma/ztt9/W2a64uFjr16+X\n1LzX2Ilx4lUrEkvLli3VvXt3SfW/7tL/rUVdunSpdfTKSbZtRz5L9tM1M9FqhftUr4ObNm1SYWFh\nne3q+7nsRB9uQDADXCo/P19nnXVW1K/jjz++VtuTTz458vjtt9+us885c+ZI+vEH/5gxY2JTuKQF\nCxZI+vH88Q4dOtTalmi1wnl9+vSJHImq7zWeO3eubNuWJJ1yyilGxolXrUg81WvRN998ox07dkRt\ns2vXrshNcGP5ui9atChy8YRoRxESqVa4T/X8sm078rM3mupt3bt314ABAxzvwxVsALBte9iwYbYk\nu3379nZxcfF+2zdu3GhnZGTYkuyzzz47ZnXMnj3blmRLss8666yErhWxc+utt0bmwYcffrjfdsuy\n7COOOMKWZLdr184uLy83Nk68akVi+eKLLyKv+w033BC1zU033RRp8+mnn8akjlAoZI8ePToyzoIF\nCxK2Vpi3bdu2yOt83XXXOdJnZWWl3aFDB1uSfdhhh9mhUGi/NvPnz4+M+8c//jEmfbgBwQyAbdu2\n/dFHH9kej8eWZI8dO9YuKiqKbCsoKLCHDh1qS7LT0tLs5cuXR+3jf//3f+1JkybZkyZNsquqqvbb\n/tJLL9nPP/981DAVCATsBx98MBKo/H6/vWzZspjVisRWUlJit2/f3pZkd+7c2V6yZElkWyAQsK+4\n4orID+iHHnooah+zZs2KzMdFixbFbBwn+kBymjhxoi3JTklJsZ9++ula25599lk7JSXFlmSffvrp\nUZ+/fv36yBz997//HbXNzTffbC9cuNAOh8P7bVu7dq196qmnRubX+PHjY1Yr3KE5wWzq1Kn2pEmT\n7CuvvLLONv/+978j/V5++eV2ZWVlZNvSpUvtrl272pLstm3bRv0dwKk+kh3BDEDEjBkzIotiVlaW\nfeKJJ9rHH3+87ff7bUm2x+Oxn3rqqTqfP3LkyMjzKyoq9tt+zTXXRH4x6Nmzpz18+HD79NNPt48/\n/ng7Jycn8twWLVrYs2fPjmmtSHyfffZZJKh7vV776KOPtk8++WS7Xbt2kdf+wgsvrPP5NefIrFmz\nYjaOU30g+RQWFtr9+/ePvMZ9+/a1Tz31VLtfv361vrdnz56oz//2228j7aZNmxa1TfX23Nxce9Cg\nQfaJJ55on3baafbgwYNtr9cb2T58+HB77969MasVyen111+PhP9JkybZ48ePj7zeffr0qbXt8ssv\nj9pH9R+eunXrVu9YF110UaTvdu3a2SeffLI9fPjwyDxNT0+3P/nkk5j3kcwIZgBqefnll+2DDjoo\nsjBWfx1yyCH2Bx98UO9zGwpmn376qT1lypTI6Qo//WrZsqV90UUX2WvWrIl5rUgO33//vX3CCSdE\njpBWf3Xo0MG+7777oh5FqNbYYHag4zjZB5LP3r177WnTptmZmZm1XveMjAx76tSp9f5lvzHBbMaM\nGfaIESPs1NTUqOtm//797X/84x9RT/1yslYkp7vvvjvqvIn2lZ+fH7WPxgazcDhsP/DAA3bHjh1r\n9evxeOxRo0bVeRaM030kM49t//9PIwNADStWrNCGDRvk9XrVq1evWpcFr8vHH3+sXbt2SZLOPPNM\neb3Rry9k27Y2b96srVu3aufOnfL7/erUqZMGDBggn88Xl1qRXLZt26YVK1aovLxcnTp10uDBgxuc\nKytXrtTSpUslScOHD1enTp1iMk4s+kDy2bdvn5YsWaI9e/aodevWGjRokLKysup9zt69ezVv3jxJ\nP14uvL7bLZSVlWnTpk3aunWrysrKlJOTo379+ql9+/ZxqRXJadWqVVqyZEmj2mZmZka98Mubb76p\nyspKtWjRotYFuOoSDoe1ZMkSFRQUKCMjQ/369WvU+ut0H8mIYAYAAAAAhnG5fAAAAAAwjGAGAAAA\nAIYRzAAAAADAMIIZAAAAABhGMAMAAAAAwwhmAAAAAGAYwQwAAAAADCOYAQAAAIBhBDMAAAAAMIxg\nBgAAAACGEcwAAAAAwDCCGQAAAAAYRjADAAAAAMMIZgAAAABgGMEMAAAAAAwjmAEAkACWL1+uqVOn\n6qabbjJdygEpLy/XtGnTNG3aNJWUlJguBwCSBsEMAIAEcO211+qxxx5TmzZtTJdyQDIzM1VWVqZH\nHnlEf/nLX0yXAwBJw2Pbtm26CAAAfs7mzJmjU045RR06dNC6deuUkZFhuqQDsmrVKg0YMEApKSla\nsWKFunfvbrokAEh4HDEDAMCwG264QZJ03XXXJX0ok6Q+ffro7LPPViAQ0B//+EfT5QBAUuCIGQAA\nBn344Yc64YQT5PP5VFBQoPbt25suyRFz587VySefrLS0NG3evFnt2rUzXRIAJDSOmAEAYNDDDz8s\nSTrppJNcE8ok6cQTT1SHDh1UVVWlxx57zHQ5AJDwOGIGAEANtm3r5ptv1s6dO5WZmam7775bfr8/\natuZM2fqs88+kyTdeOON6tWrV5PGKiwsVIcOHRQMBvX444/roosuitquoqJCv/71ryVJU6dO1bBh\nw6K227NnT+S0yKuvvlqDBw+utf26667T3r17dcopp+jMM89UOBzW3Llz9fnnn6u0tFR9+/bV5MmT\nlZOTU+t5u3bt0osvvqg1a9YoNTVVxxxzjE477TR5vfX/ffd//ud/9OCDD6pnz55au3ZtY3YJAPx8\n2QAAoJa3337b9ng8tiT7qquuitpmwYIFts/nsyXZ559/frPGefXVV21JtiR75cqVdbYrKiqKtHv6\n6afrbLd+/fpIuzfeeGO/7e3bt7cl2TfccINdUPD/2ruXkCi/P47jHzOvoaUiRUYlRokthLzE2MVd\nmAsXETSWWaiUSS1KqLB0EUYWJiFYhFlI3lpUtsiQNlZGSSBBFwtJKP3TxUtmMppm81+IT79qHK/1\nJL1fIMzMOc9zznH34fme5/zPvmrVKqP/yF9AQIC9vr7euObs2bN2Ly+vX/qtXbvW/unTJ6frKy8v\nN/q3tLSM4z8CAP8uShkBAPjJxo0bdeDAAUlSUVGRqqurf2j/+PGjtm7dqqGhIYWEhBjliBN1584d\nSZK/v7+WL18+pTlPxJcvX7Rhwwa1tbUpMzNTRUVFOnTokPz8/NTZ2amEhAR1dHTowoULysjIUHR0\ntE6ePKnCwkLFx8dLkurr67Vnzx6n41gsFuNzXV3d71wSAMx4BDMAABw4ceKEoqKiJEkpKSlqbW01\n2tLS0vTmzRu5ubmpqqpKPj4+kxrj4cOHkqTw8PCpT3gCSkpK5O7urufPnys/P18ZGRnKy8tTfX29\n3N3d1dXVpaysLGVmZqqgoEB1dXU6ePCg9u3bp5s3byo9PV2SVFlZqdevX486TnBwsFEW+eDBgz+y\nNgCYqQhmAAA44ObmpsrKSvn6+v7whOzcuXO6du2apOHwFhkZOekx3r59K0l//FDp3t5elZWVKSAg\n4Iffw8LCtGnTJklScXGxYmJitH///l+uP3LkiKTh/Xi1tbVOxwoMDJT0fa0AAMcIZgAAjCIkJETn\nz5+XNFy6t3PnTqPEMS4uzvg8We3t7ZL0S0D63SwWi8LCwhy2rV692vickpLisM+iRYu0cOFCSVJT\nU5PTsUbWNrJWAIBjBDMAAJywWq1GQCkrK1N/f78WLFig0tJSubi4TPq+Q0ND6uvrkyTNmTNnWuY6\nXs5KJ//79M5Zv5EnYd3d3U7HGlnb58+fJzBDAPj3EMwAABhDQUGBPD09je+FhYVTPjDZ1dXV2H81\nVriZbr6+vqO2zZ49e0L9BgcHnY41sjZ/f/8JzBAA/j0EMwAAxnD8+HH19/cb3y9duiT7NBwDOvLU\nqaura8r3+lt1dnZK+r5WAIBjBDMAAJyora1Vfn6+JBkHNt+6dUtnzpyZ8r2XLFkiSXr37t2U7yVJ\nX79+nZb7TJdv374Ze8tG1goAcIxgBgDAKN6/f6/k5GTZ7XaFh4eroaFBCQkJkqTDhw+rsbFxSvdf\nt26dJOnx48fjDlXOQlxbW9uU5jPdnj59KpvNJun7WgEAjhHMAABwwG63a/v27frw4YO8vb1VVVUl\nT09PXbx4UUFBQRoYGJDValVvb++kx4iNjZUk9fX16cmTJ+O65v79+6O2/XwQttlGzmlzcXHR+vXr\nTZ4NAPzdCGYAADhw6tQp3b59W9Lwyz5CQ0MlDb/+vby8XLNmzVJzc7P27t076TEsFovmzZsnSbp7\n9+64rqmurlZxcfEvv1+5ckVFRUXG956enknPa7qMrCkqKuqPn9UGADMNwQwAgJ80NDQoOztbkrRl\nyxalpqb+0B4bG6ujR49KkkpLS1VRUTGpcTw8PLRjxw5JUnl5+biuWbx4sXbt2qXQ0FBt3rxZ27Zt\nU1hYmKxWq5YuXSofHx9Jw6WWqamp07Z/baJsNptu3LghSdq9e7cpcwCAmYRgBgDAf/T09CgxMVGD\ng4MKDg42Dpj+WU5OjrFvKj09Xa9evZrUeOnp6ZKkR48e6cWLF2P2z8nJUWJiol6+fKmrV6+qoqJC\nTU1NioiIUG1trXG/1tZWlZaWGnu8/rTr16+rt7dXc+fOldVqNWUOADCTzB67CwAA/47W1lZlZWVJ\nkmJiYoyzxn7m6uqqqqoq1dTUSBp+KUdISMiExwsNDVV8fLxqampUXFys06dPO+3v4eGhiooK5ebm\nqrGxUQMDA1qxYoUiIiIkDZdgxsXFqaOjQ2vWrFFQUJBxbUFBgWw2m9ODo6Ojo41SydHWLknZ2dlq\nb2/XsmXLHLaXlJRIGg6e3t7eTtcEAJBc7NNxEAsAAJi0Z8+eKTw8XB4eHmppadH8+fN/aO/u7paf\nn58k6fLly0pKSjJjmuN27949rV+/XoGBgWpubnYa8AAAwyhlBADAZCtXrlRaWppsNpvy8vLMns6U\njezPO3bsGKEMAMaJUkYAAP4Cubm5ioyMlJeXl9lTmRKbzaakpCQlJycbLzYBAIyNUkYAAP5yM62U\nEQAwcZQyAgAAAIDJKGUEAOAv5+3tbbwp0WKxmDwbAMDvQCkjAAAAAJiMUkYAAAAAMBnBDAAAAABM\nRjADAAAAAJMRzAAAAADAZAQzAAAAADAZwQwAAAAATEYwAwAAAACTEcwAAAAAwGQEMwAAAAAwGcEM\nAAAAAExGMAMAAAAAkxHMAAAAAMBkBDMAAAAAMBnBDAAAAABMRjADAAAAAJMRzAAAAADAZAQzAAAA\nADAZwQwAAAAATPZ/cEJ/iQcDDMYAAAAASUVORK5CYII=\n"
          }
        }
      ],
      "source": [
        "eme_sim.plot(z=h_wg)\n",
        "plt.show()"
      ],
      "id": "d39806e2"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Run the EME simulations with different numbers of periods. We can see\n",
        "that the cost is over an order of magnitude lower compared to FDTD,\n",
        "making it a very affordable option."
      ],
      "id": "e7c6ca96-6cb9-4489-9dfc-5144aac31e5d"
    },
    {
      "cell_type": "code",
      "execution_count": 13,
      "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\">06:16:30 UTC </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'eme periodic'</span> with resource_id                       \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'eme-2085f30b-e361-48e9-9f66-4aa47f1f802a'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'EME'</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>Tidy3D's EME solver is currently in the beta stage. Cost of EME    \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>simulations is subject to change in the future.                    \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"c91f63d5e583464c86828a0e3ba65e16\",\"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\">06:16:31 UTC </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.234</span>. For this solver type, the        \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>estimate is the final billed cost.                                 \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\">06:16:33 UTC </span>status = queued                                                    \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>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or              \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the web UI.      \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Terminating the Python script will not stop the job running on the \n",
              "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>cloud.                                                             \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"12d4cc84f1b44570a7b3a33b189ac24f\",\"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\">06:16:43 UTC </span>starting up solver                                                 \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>running solver                                                     \n",
              "</pre>"
            ]
          }
        },
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "text/html": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"5a7e040fe7324200a941e434f95e9088\",\"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\">06:17:11 UTC </span>status = success                                                   \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": [
              "<script type=\"application/vnd.jupyter.widget-view+json\">\n",
              "{\"model_id\":\"faedd3f9f0054dec934990dccdeda71f\",\"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\">06:17:12 UTC </span>Loading results from simulation_data.hdf5                          \n",
              "</pre>"
            ]
          }
        }
      ],
      "source": [
        "eme_sim_data = web.run(eme_sim, task_name=\"eme periodic\")"
      ],
      "id": "97f0fd49"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Plot the transmission of the EME simulations. As expected. the\n",
        "extinction ratio is increasing with the number of periods."
      ],
      "id": "b6491eae-2739-4460-aefc-f7ec0b26a410"
    },
    {
      "cell_type": "code",
      "execution_count": 14,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
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SwWE6NKJkqEaUDNXJk2YkPF7bVK/N+3do877t+nTfdq3f97Hqq5uUG87VuILR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\ndZfef/99u37l5eXms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          }
        }
      ],
      "source": [
        "for i, n in enumerate(n_list):\n",
        "    # extract transmission\n",
        "    T = (\n",
        "        eme_sim_data.smatrix.S21.isel(\n",
        "            sweep_index=i, mode_index_out=0, mode_index_in=0\n",
        "        ).abs.squeeze()\n",
        "        ** 2\n",
        "    )\n",
        "\n",
        "    # plot the spectrum\n",
        "    plt.plot(ldas, 10 * np.log10(T), label=f\"n={n}\")\n",
        "\n",
        "plt.legend()\n",
        "plt.xlabel(\"Wavelength (μm)\")\n",
        "plt.ylabel(\"Transmission (dB)\")\n",
        "plt.grid()\n",
        "plt.show()"
      ],
      "id": "69558ab9"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Compare the EME result with the previous FDTD result. They match very\n",
        "well, validating the efficacy of the EME method in modeling waveguide\n",
        "Bragg gratings."
      ],
      "id": "0b342c49-e6b5-47f1-bcc4-1751f4d78069"
    },
    {
      "cell_type": "code",
      "execution_count": 15,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "metadata": {},
          "data": {
            "image/png": 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bn7eeHH44bPm4w0ok/8ApzFxtZ02jNeQ6bv8juP+KO6lqrOXkOy9j7Q7rrnie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4pUOTk5mj59usrKyiRJiYmJGjlypBITE2W3t77jMDGRGQ4AgEOYdVKV5cputystIUU5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\nrKysXYPJ77vvPh155JGt3nPGGWcoLi5O+fn5mjt3rk499VTXt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          }
        }
      ],
      "source": [
        "T = (\n",
        "    eme_sim_data.smatrix.S21.isel(sweep_index=1, mode_index_out=0, mode_index_in=0).abs.squeeze()\n",
        "    ** 2\n",
        ")\n",
        "\n",
        "plt.plot(ldas, 10 * np.log10(T), linewidth=2, label=\"EME\")\n",
        "\n",
        "amp = batch_results[\"amorphous\"][\"mode\"].amps.sel(mode_index=0, direction=\"+\")\n",
        "T = np.abs(amp) ** 2  # transmission to the top waveguide\n",
        "\n",
        "plt.plot(ldas, 10 * np.log10(T), linewidth=2, label=\"FDTD\")\n",
        "\n",
        "plt.legend()\n",
        "plt.xlabel(\"Wavelength (μm)\")\n",
        "plt.ylabel(\"Transmission (dB)\")\n",
        "plt.grid()\n",
        "plt.show()\n",
        "plt.show()"
      ],
      "id": "14134a25"
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## Final Remarks\n",
        "\n",
        "EME offers a powerful and efficient method for simulating long mode\n",
        "propagation problems including those with periodic features like Bragg\n",
        "gratings. By analytically solving for the modes within each section and\n",
        "propagating them through the structure, EME significantly reduces\n",
        "computational time and FlexCredit cost compared to full 3D FDTD\n",
        "simulations—especially for long devices. This makes EME an ideal tool\n",
        "for rapid design iteration and parameter sweeps. However, it is\n",
        "recommended to validate key results with rigorous FDTD simulations to\n",
        "ensure accuracy, particularly in complex or highly non-uniform\n",
        "structures."
      ],
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