{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "bbdcb0ea",
   "metadata": {},
   "source": [
    "# pTiO2 dispersive simulation with Bruggeman model\n",
    "\n",
    "**Authors: Judson D. Ryckman & Matthew Panipinto, Clemson University**\n",
    "\n",
    "This notebook integrates the 2-component Bruggeman effective medium model with Tidy3D using the [`FastDispersionFitter`](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.dispersion.FastDispersionFitter.html) plugin. It computes the dispersion of porous titania in both its uncompressed and compressed states, fits them to [`PoleResidue`](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.PoleResidue.html) models, and runs the metasurface simulation.\n",
    "\n",
    "<img src=\"img/bruggeman_4x4.png\" alt=\"Schematic\" width=\"500\">\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d3922fd3",
   "metadata": {},
   "outputs": [],
   "source": [
    "import os\n",
    "import csv\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import tidy3d as td\n",
    "import tidy3d.web as web\n",
    "from tidy3d.plugins.dispersion import FastDispersionFitter"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9155db4c",
   "metadata": {},
   "source": [
    "## Simulation Layout & Symmetry Breaking\n",
    "The simulation layout is constructed with periodic boundary conditions representing a unit cell that spans 2 periods in size (a 2x2 pillar quadrimer structure). This allows for symmetry breaking of the quadrimer by using the displacement parameter `dX`. Non-zero values of `dX` break the structural symmetry of the unit cell, enabling the excitation of quasi-bound states in the continuum (qBIC) modes. By default, `dX = 0.0` preserves standard lattice symmetry, simulating a conventional guided mode resonance (GMR) metasurface."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "aba45937",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "0347644e2a234f2b9777bf6b0e6ec542",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Fitting uncompressed pTiO2 (p=0.56) using FastDispersionFitter...\n"
     ]
    },
    {
     "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>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "5b7952dd6d9b4814a90825c7829dae9b",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  Uncompressed Fit RMS: 4.49e-07\n",
      "Fitting compressed pTiO2 (p=0.2308, C=0.43) using FastDispersionFitter...\n"
     ]
    },
    {
     "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>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "  Compressed Fit RMS: 4.46e-06\n"
     ]
    }
   ],
   "source": [
    "# Simulation parameters (microns)\n",
    "period = 0.4\n",
    "wl_min = 0.4\n",
    "wl_max = 0.7\n",
    "size_z = 3\n",
    "slab_thick = 0.23\n",
    "dX = 0.0  # Non-zero for qBIC\n",
    "p0 = 0.565  # Uncompressed porosity\n",
    "imprint_frac = 0.4345  # Film compression C\n",
    "theta = 0\n",
    "phi = 0\n",
    "pol_angle = 0\n",
    "# Substrate is loaded from Tidy3D's material library (BK7)\n",
    "courant = 0.95  # Courant stability factor\n",
    "shutoff = 1e-7  # Simulation shutoff threshold\n",
    "run_time = 8e-12  # Simulation run time (seconds)\n",
    "monitor_wls = np.linspace(0.4, 0.7, 151)  # Wavelengths for field monitors\n",
    "\n",
    "\n",
    "# Load skeleton data\n",
    "def load_anatase_skeleton(filepath=\"misc/Jolivet-anatase.csv\"):\n",
    "    if not os.path.exists(filepath):\n",
    "        raise FileNotFoundError(f\"Anatase skeleton file not found: {filepath}\")\n",
    "    wl_list = []\n",
    "    n_list = []\n",
    "    with open(filepath, mode=\"r\", encoding=\"utf-8\") as f:\n",
    "        reader = csv.reader(f)\n",
    "        next(reader)\n",
    "        for row in reader:\n",
    "            if not row or row[0].strip() == \"\" or \"wl\" in row[0]:\n",
    "                break\n",
    "            wl_list.append(float(row[0]))\n",
    "            n_list.append(float(row[1]))\n",
    "    return np.array(wl_list), np.array(n_list)\n",
    "\n",
    "\n",
    "wl_sk, n_sk = load_anatase_skeleton(\"misc/Jolivet-anatase.csv\")\n",
    "\n",
    "\n",
    "# Bruggeman solver\n",
    "def solve_bruggeman(p, n_skeleton):\n",
    "    eps_sk = n_skeleton**2\n",
    "    A = 2.0\n",
    "    B = (3.0 * p - 2.0) * eps_sk + 1.0 - 3.0 * p\n",
    "    C_val = -eps_sk\n",
    "    y = (-B + np.sqrt(B**2 - 4.0 * A * C_val)) / (2.0 * A)\n",
    "    return np.sqrt(y)\n",
    "\n",
    "\n",
    "# Define porosities\n",
    "c_comp = imprint_frac  # Film compression\n",
    "p_comp = (p0 - c_comp) / (1.0 - c_comp)  # Compressed porosity\n",
    "\n",
    "# Grid of wavelengths for fitting (0.4 to 0.7 um)\n",
    "wl_fit = np.linspace(wl_min, wl_max, 201)\n",
    "n_sk_fit = np.interp(wl_fit, wl_sk, n_sk)\n",
    "\n",
    "# Calculate dispersion index curves\n",
    "n_uncompressed = solve_bruggeman(p0, n_sk_fit)\n",
    "n_compressed = solve_bruggeman(p_comp, n_sk_fit)\n",
    "k_fit = np.zeros_like(wl_fit)  # assume negligible absorption\n",
    "\n",
    "print(f\"Fitting uncompressed pTiO2 (p={p0:.2f}) using FastDispersionFitter...\")\n",
    "fitter_un = FastDispersionFitter(wvl_um=wl_fit, n_data=n_uncompressed, k_data=k_fit)\n",
    "porous_titania_uncompressed, rms_un = fitter_un.fit(\n",
    "    min_num_poles=2, max_num_poles=4, tolerance_rms=1e-3\n",
    ")\n",
    "print(f\"  Uncompressed Fit RMS: {rms_un:.2e}\")\n",
    "\n",
    "print(\n",
    "    f\"Fitting compressed pTiO2 (p={p_comp:.4f}, C={c_comp:.2f}) using FastDispersionFitter...\"\n",
    ")\n",
    "fitter_co = FastDispersionFitter(wvl_um=wl_fit, n_data=n_compressed, k_data=k_fit)\n",
    "porous_titania_compressed, rms_co = fitter_co.fit(\n",
    "    min_num_poles=2, max_num_poles=4, tolerance_rms=1e-3\n",
    ")\n",
    "print(f\"  Compressed Fit RMS: {rms_co:.2e}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f97fe28e",
   "metadata": {},
   "source": [
    "### Verify Dispersion Fitting Quality\n",
    "Plot the calculated Bruggeman refractive index data points and the fitted curves to check for accuracy."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "c4f09747",
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 1400x550 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 5.5))\n",
    "fitter_un.plot(porous_titania_uncompressed, ax=ax1)\n",
    "ax1.set_title(f\"Uncompressed Fit (p={p0:.2f})\")\n",
    "fitter_co.plot(porous_titania_compressed, ax=ax2)\n",
    "ax2.set_title(f\"Compressed Fit (p={p_comp:.3f}, C={c_comp:.2f})\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c4bda25a",
   "metadata": {},
   "source": [
    "### Create Tidy3D Simulation Setup\n",
    "Define background medium, source, monitors, and the metasurface structure using our dynamic materials."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "297fbb26",
   "metadata": {},
   "outputs": [],
   "source": [
    "air = td.Medium(\n",
    "    name=\"air\",\n",
    "    viz_spec=td.VisualizationSpec(facecolor=\"#a6a6a6\", edgecolor=\"#000000\", alpha=0.31),\n",
    ")\n",
    "\n",
    "plane_wave = td.PlaneWave(\n",
    "    name=\"plane_wave\",\n",
    "    center=[0, 0, size_z / 2 - wl_max],\n",
    "    size=[td.inf, td.inf, 0],\n",
    "    source_time=td.GaussianPulse(\n",
    "        freq0=615645226250000,\n",
    "        fwidth=481809307500000,\n",
    "    ),\n",
    "    direction=\"-\",\n",
    "    angle_theta=theta * np.pi / 180,\n",
    "    angle_phi=phi * np.pi / 180,\n",
    "    pol_angle=pol_angle * np.pi / 180,\n",
    "    angular_spec=td.FixedInPlaneKSpec(),\n",
    ")\n",
    "\n",
    "Reflection = td.FluxMonitor(\n",
    "    name=\"Reflection\",\n",
    "    center=[0, 0, size_z / 2 - wl_max / 2],\n",
    "    size=[10, 10, 0],\n",
    "    freqs=td.C_0 / np.linspace(0.35, 0.8, 1751),\n",
    "    normal_dir=\"+\",\n",
    ")\n",
    "\n",
    "field_XZ = td.FieldMonitor(\n",
    "    name=\"field_XZ\",\n",
    "    center=[0, period / 2, 0],\n",
    "    size=[10, 0, size_z],\n",
    "    freqs=td.C_0 / monitor_wls,\n",
    ")\n",
    "\n",
    "field_YZ = td.FieldMonitor(\n",
    "    name=\"field_YZ\",\n",
    "    center=[period / 2, 0, 0],\n",
    "    size=[0, 10, size_z],\n",
    "    freqs=td.C_0 / monitor_wls,\n",
    ")\n",
    "\n",
    "permittivitymonitor = td.PermittivityMonitor(\n",
    "    name=\"permittivitymonitor\",\n",
    "    center=[0, 0, slab_thick],\n",
    "    size=[5, 5, 0],\n",
    "    freqs=td.C_0 / 0.575,\n",
    "    apodization=td.ApodizationSpec(),\n",
    ")\n",
    "\n",
    "field_XY = td.FieldMonitor(\n",
    "    name=\"field_XY\",\n",
    "    center=[0, 0, slab_thick / 2],\n",
    "    size=[10, 10, 0],\n",
    "    freqs=td.C_0 / monitor_wls,\n",
    ")\n",
    "\n",
    "Transmission = td.FluxMonitor(\n",
    "    name=\"Transmission\",\n",
    "    center=[0, 0, -size_z / 2 + wl_max],\n",
    "    size=[10, 10, 0],\n",
    "    freqs=td.C_0 / np.linspace(0.35, 0.8, 1751),\n",
    "    normal_dir=\"-\",\n",
    ")\n",
    "\n",
    "substrate_medium = td.material_library[\"BK7\"].medium\n",
    "\n",
    "substrate = td.Structure(\n",
    "    name=\"substrate\",\n",
    "    geometry=td.Box(center=[0, 0, -500], size=[2000, 2000, 1000]),\n",
    "    medium=substrate_medium,\n",
    ")\n",
    "\n",
    "core_slab = td.Structure(\n",
    "    name=\"core_slab\",\n",
    "    geometry=td.Box(center=[0, 0, slab_thick / 2], size=[5, 5, slab_thick]),\n",
    "    medium=porous_titania_uncompressed,\n",
    ")\n",
    "\n",
    "core_pillar_air = td.Structure(\n",
    "    name=\"core_pillar_air\",\n",
    "    geometry=td.Box(\n",
    "        center=[-period / 2 - dX, -period / 2 - dX, slab_thick / 2],\n",
    "        size=[period / 2, period / 2, slab_thick],\n",
    "    ),\n",
    "    medium=air,\n",
    ")\n",
    "\n",
    "core_pillar_copy_air = td.Structure(\n",
    "    name=\"core_pillar_copy_air\",\n",
    "    geometry=td.Box(\n",
    "        center=[period / 2 + dX, period / 2 + dX, slab_thick / 2],\n",
    "        size=[period / 2, period / 2, slab_thick],\n",
    "    ),\n",
    "    medium=air,\n",
    ")\n",
    "\n",
    "core_pillar_copy_Copy_air = td.Structure(\n",
    "    name=\"core_pillar_copy_Copy_air\",\n",
    "    geometry=td.Box(\n",
    "        center=[period / 2 + dX, -period / 2 - dX, slab_thick / 2],\n",
    "        size=[period / 2, period / 2, slab_thick],\n",
    "    ),\n",
    "    medium=air,\n",
    ")\n",
    "\n",
    "core_pillar_Copy_Copy_air = td.Structure(\n",
    "    name=\"core_pillar_Copy_Copy_air\",\n",
    "    geometry=td.Box(\n",
    "        center=[-period / 2 - dX, +period / 2 + dX, slab_thick / 2],\n",
    "        size=[period / 2, period / 2, slab_thick],\n",
    "    ),\n",
    "    medium=air,\n",
    ")\n",
    "\n",
    "core_pillar = td.Structure(\n",
    "    name=\"core_pillar\",\n",
    "    geometry=td.Box(\n",
    "        center=[\n",
    "            -period / 2 - dX,\n",
    "            -period / 2 - dX,\n",
    "            (1 - imprint_frac) * slab_thick / 2,\n",
    "        ],\n",
    "        size=[period / 2, period / 2, (1 - imprint_frac) * slab_thick],\n",
    "    ),\n",
    "    medium=porous_titania_compressed,\n",
    ")\n",
    "\n",
    "core_pillar_copy = td.Structure(\n",
    "    name=\"core_pillar_copy\",\n",
    "    geometry=td.Box(\n",
    "        center=[period / 2 + dX, period / 2 + dX, (1 - imprint_frac) * slab_thick / 2],\n",
    "        size=[period / 2, period / 2, (1 - imprint_frac) * slab_thick],\n",
    "    ),\n",
    "    medium=porous_titania_compressed,\n",
    ")\n",
    "\n",
    "core_pillar_copy_Copy = td.Structure(\n",
    "    name=\"core_pillar_copy_Copy\",\n",
    "    geometry=td.Box(\n",
    "        center=[period / 2 + dX, -period / 2 - dX, (1 - imprint_frac) * slab_thick / 2],\n",
    "        size=[period / 2, period / 2, (1 - imprint_frac) * slab_thick],\n",
    "    ),\n",
    "    medium=porous_titania_compressed,\n",
    ")\n",
    "\n",
    "core_pillar_Copy = td.Structure(\n",
    "    name=\"core_pillar_Copy\",\n",
    "    geometry=td.Box(\n",
    "        center=[\n",
    "            -period / 2 - dX,\n",
    "            +period / 2 + dX,\n",
    "            (1 - imprint_frac) * slab_thick / 2,\n",
    "        ],\n",
    "        size=[period / 2, period / 2, (1 - imprint_frac) * slab_thick],\n",
    "    ),\n",
    "    medium=porous_titania_compressed,\n",
    ")\n",
    "\n",
    "sim = td.Simulation(\n",
    "    size=[0.8, 0.8, 3],\n",
    "    boundary_spec=td.BoundarySpec(\n",
    "        x=td.Boundary(\n",
    "            plus=td.BlochBoundary(bloch_vec=0), minus=td.BlochBoundary(bloch_vec=0)\n",
    "        ),\n",
    "        y=td.Boundary(\n",
    "            plus=td.BlochBoundary(bloch_vec=0), minus=td.BlochBoundary(bloch_vec=0)\n",
    "        ),\n",
    "        z=td.Boundary(\n",
    "            plus=td.PML(\n",
    "                parameters=td.PMLParams(\n",
    "                    kappa_min=1, kappa_max=3, alpha_order=1, alpha_max=0\n",
    "                )\n",
    "            ),\n",
    "            minus=td.PML(\n",
    "                parameters=td.PMLParams(\n",
    "                    kappa_min=1, kappa_max=3, alpha_order=1, alpha_max=0\n",
    "                )\n",
    "            ),\n",
    "        ),\n",
    "    ),\n",
    "    grid_spec=td.GridSpec.auto(wavelength=wl_min, min_steps_per_wvl=24),\n",
    "    subpixel=td.SubpixelSpec(\n",
    "        dielectric=td.PolarizedAveraging(),\n",
    "        metal=td.Staircasing(),\n",
    "        pec=td.PECConformal(),\n",
    "    ),\n",
    "    courant=courant,\n",
    "    shutoff=shutoff,\n",
    "    run_time=run_time,\n",
    "    medium=air,\n",
    "    sources=[plane_wave],\n",
    "    monitors=[\n",
    "        Reflection,\n",
    "        field_XZ,\n",
    "        field_YZ,\n",
    "        permittivitymonitor,\n",
    "        field_XY,\n",
    "        Transmission,\n",
    "    ],\n",
    "    structures=[\n",
    "        substrate,\n",
    "        core_slab,\n",
    "        core_pillar_air,\n",
    "        core_pillar_copy_air,\n",
    "        core_pillar_copy_Copy_air,\n",
    "        core_pillar_Copy_Copy_air,\n",
    "        core_pillar,\n",
    "        core_pillar_copy,\n",
    "        core_pillar_copy_Copy,\n",
    "        core_pillar_Copy,\n",
    "    ],\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "63850e42",
   "metadata": {},
   "source": [
    "### Visualize 2D Slices of Device Geometry\n",
    "Plot the $x=0.2$ and $y=0.2$ cross sections to verify the structure definition before submitting to Tidy3D."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "7537bec0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1500x600 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(15, 6))\n",
    "sim.plot(x=period / 2, ax=ax1)\n",
    "ax1.set_title(f\"x={period / 2} slice\")\n",
    "sim.plot(y=period / 2, ax=ax2)\n",
    "ax2.set_title(f\"y={period / 2} slice\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c1fcad64",
   "metadata": {},
   "source": [
    "### Run the Simulation on Tidy3D Web Server"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "3d376084",
   "metadata": {},
   "outputs": [
    {
     "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\">14:38:47 KST </span>Loading simulation from local cache. View cached task using web UI \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>at                                                                 \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-56451b30-d12d-4b1b-b9d9-4aae0bc36d6b\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-56451b30-d12</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-56451b30-d12d-4b1b-b9d9-4aae0bc36d6b\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">d-4b1b-b9d9-4aae0bc36d6b'</span></a>.                                         \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m14:38:47 KST\u001b[0m\u001b[2;36m \u001b[0mLoading simulation from local cache. View cached task using web UI \n",
       "\u001b[2;36m             \u001b[0mat                                                                 \n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=492068;https://tidy3d.simulation.cloud/workbench?taskId=fdve-56451b30-d12d-4b1b-b9d9-4aae0bc36d6b\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=505581;https://tidy3d.simulation.cloud/workbench?taskId=fdve-56451b30-d12d-4b1b-b9d9-4aae0bc36d6b\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=492068;https://tidy3d.simulation.cloud/workbench?taskId=fdve-56451b30-d12d-4b1b-b9d9-4aae0bc36d6b\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=801312;https://tidy3d.simulation.cloud/workbench?taskId=fdve-56451b30-d12d-4b1b-b9d9-4aae0bc36d6b\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=492068;https://tidy3d.simulation.cloud/workbench?taskId=fdve-56451b30-d12d-4b1b-b9d9-4aae0bc36d6b\u001b\\\u001b[32m-56451b30-d12\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=492068;https://tidy3d.simulation.cloud/workbench?taskId=fdve-56451b30-d12d-4b1b-b9d9-4aae0bc36d6b\u001b\\\u001b[32md-4b1b-b9d9-4aae0bc36d6b'\u001b[0m\u001b]8;;\u001b\\.                                         \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "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 final field decay value of </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.000124</span><span style=\"color: #800000; text-decoration-color: #800000\"> is greater </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">than the simulation shutoff threshold of </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1e-07</span><span style=\"color: #800000; text-decoration-color: #800000\">. Consider running   </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">the simulation again with a larger </span><span style=\"color: #008000; text-decoration-color: #008000\">'run_time'</span><span style=\"color: #800000; text-decoration-color: #800000\"> duration for more    </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #800000; text-decoration-color: #800000\">accurate results.                                                  </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING: Simulation final field decay value of \u001b[0m\u001b[1;36m0.000124\u001b[0m\u001b[31m is greater \u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[31mthan the simulation shutoff threshold of \u001b[0m\u001b[1;36m1e-07\u001b[0m\u001b[31m. Consider running   \u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[31mthe simulation again with a larger \u001b[0m\u001b[32m'run_time'\u001b[0m\u001b[31m duration for more    \u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[31maccurate results.                                                  \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_data = web.run(\n",
    "    sim, task_name=\"pTiO2_Quadrimer_Dispersive_FDTD\", path=\"./data/sim_data.hdf5\"\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1d092006",
   "metadata": {},
   "source": [
    "## Data Analysis and Plotting\n",
    "Plot the reflection and transmission spectra extracted from the flux monitors."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "1696301f",
   "metadata": {},
   "outputs": [
    {
     "data": {
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      "text/plain": [
       "<Figure size 1400x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Extract flux from monitors\n",
    "refl_flux = sim_data[\"Reflection\"].flux\n",
    "trans_flux = sim_data[\"Transmission\"].flux\n",
    "\n",
    "freqs = refl_flux.f.values\n",
    "wl_nm = (td.C_0 / freqs) * 1e3  # convert to nm\n",
    "\n",
    "# Compute coefficients\n",
    "R = np.abs(refl_flux.values)\n",
    "T = np.abs(trans_flux.values)\n",
    "\n",
    "# Plot Reflection and Transmission on separate subplots\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 5))\n",
    "\n",
    "# Reflection plot\n",
    "ax1.plot(wl_nm, R, label=\"Reflection (R)\", color=\"#e74c3c\", linewidth=2)\n",
    "ax1.set_xlabel(\"Wavelength (nm)\", fontsize=11)\n",
    "ax1.set_ylabel(\"Reflection\", fontsize=11)\n",
    "ax1.set_title(\"Reflection Spectrum\", fontsize=12, fontweight=\"bold\")\n",
    "ax1.set_ylim(0.0, 1.0)\n",
    "ax1.grid(True, linestyle=\"--\", alpha=0.5)\n",
    "ax1.legend(fontsize=10)\n",
    "\n",
    "# Transmission plot\n",
    "ax2.plot(wl_nm, T, label=\"Transmission (T)\", color=\"#2ecc71\", linewidth=2)\n",
    "ax2.set_xlabel(\"Wavelength (nm)\", fontsize=11)\n",
    "ax2.set_ylabel(\"Transmission\", fontsize=11)\n",
    "ax2.set_title(\"Transmission Spectrum\", fontsize=12, fontweight=\"bold\")\n",
    "ax2.set_ylim(0.0, 1.0)\n",
    "ax2.grid(True, linestyle=\"--\", alpha=0.5)\n",
    "ax2.legend(fontsize=10)\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b39e2e37",
   "metadata": {},
   "source": [
    "### Plot Electric Field Distribution\n",
    "Visualize the electric field profile $|E|$ in the $x-z$ plane at a specific wavelength, such as at a resonance point or a chosen wavelength."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "58a6fc43",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1500x600 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Set wavelength of interest (e.g. 618 nm)\n",
    "wvl_interest = 0.618  # um\n",
    "\n",
    "# Find closest frequency using the global monitor_wls array (pSiGMR style)\n",
    "idx = np.abs(monitor_wls - wvl_interest).argmin()\n",
    "freq_closest = td.C_0 / monitor_wls[idx]\n",
    "wvl_closest_nm = int(monitor_wls[idx] * 1000)\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(15, 6))\n",
    "# Use positional arguments to avoid TypeError\n",
    "sim_data.plot_field(\"field_XZ\", \"E\", \"abs\", f=freq_closest, ax=ax1)\n",
    "ax1.set_title(\n",
    "    f\"XZ Plane |E| at {wvl_closest_nm} nm (Closest data point)\",\n",
    "    fontsize=12,\n",
    "    fontweight=\"bold\",\n",
    ")\n",
    "\n",
    "sim_data.plot_field(\"field_YZ\", \"E\", \"abs\", f=freq_closest, ax=ax2)\n",
    "ax2.set_title(\n",
    "    f\"YZ Plane |E| at {wvl_closest_nm} nm (Closest data point)\",\n",
    "    fontsize=12,\n",
    "    fontweight=\"bold\",\n",
    ")\n",
    "\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  }
 ],
 "metadata": {
  "applications": [
   "Metamaterials, gratings, and other periodic structures"
  ],
  "description": "This notebook demonstrates how to model compressed and uncompressed porous TiO₂ using the Bruggeman effective-medium model and simulate a symmetry-tunable GMR/qBIC quadrimer metasurface in Tidy3D.",
  "feature_image": "./img/bruggeman_4x4.png",
  "features": [
   "Material fitting"
  ],
  "kernelspec": {
   "display_name": "flex",
   "language": "python",
   "name": "python3"
  },
  "keywords": "metasurface, qBIC, Tidy3D, dispersive materials, porous titania, FDTD",
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.12.12"
  },
  "title": "How to Model a Porous TiO2 qBIC Metasurface Using Bruggeman Effective Medium Theory in Tidy3D | Flexcompute"
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
