{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "32c6f6b4",
   "metadata": {},
   "source": [
    "# Tunable chiral metasurface based on phase change material"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4e0d0a39",
   "metadata": {},
   "source": [
    "Chiral optical structures, characterized by their absence of mirror symmetry, interact distinctively with left circularly polarized (LCP) and right circularly polarized (RCP) light, resulting in circular dichroism (CD) responses. This phenomenon is crucial in diverse research fields, such as drug synthesis, chiral sensing, and optical communication. However, natural optical materials exhibit very weak CD due to limited chiral light-matter interaction strength. In contrast, optical metasurfaces, as artificially engineered materials, can exhibit electromagnetic properties surpassing those of natural materials. Specifically, optical metasurfaces with chiral structures as unit cells can demonstrate strong chiroptical properties with high CD. \n",
    "\n",
    "In this notebook, we demonstrate a wavelength-tunable infrared chiral metasurface, incorporating the phase-change material GST-225, with a parallelogram-shaped resonator as its unit cell. The metasurface's resonance wavelength is tuned through the phase transition of GST-225. The design is based on `Haotian Tang, Liliana Stan, David A. Czaplewski, Xiaodong Yang, and Jie Gao, \"Wavelength-tunable infrared chiral metasurfaces with phase-change materials,\" Opt. Express 31, 21118-21127 (2023)` [DOI:10.1364/OE.489841](https://doi.org/10.1364/OE.489841).\n",
    "\n",
    "<img src=\"img/tunable_chiral_metasurface.png\" width=\"500\" alt=\"Schematic of the metasurface\">\n",
    "\n",
    "For more metamaterial and metasurface examples, please see the [dielectric metasurface absorber](https://www.flexcompute.com/tidy3d/examples/notebooks/DielectricMetasurfaceAbsorber/), the [graphene metamaterial absorber](https://www.flexcompute.com/tidy3d/examples/notebooks/GrapheneMetamaterial/), the [Fano metasurface](https://www.flexcompute.com/tidy3d/examples/notebooks/HighQGe/), and the [gradient metasurface reflector](https://www.flexcompute.com/tidy3d/examples/notebooks/GradientMetasurfaceReflector/)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "53369c5c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:33:17.227422Z",
     "iopub.status.busy": "2025-05-15T10:33:17.227324Z",
     "iopub.status.idle": "2025-05-15T10:33:18.608960Z",
     "shell.execute_reply": "2025-05-15T10:33:18.608386Z"
    }
   },
   "outputs": [],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import tidy3d as td\n",
    "import tidy3d.web as web\n",
    "from tidy3d.plugins.dispersion import AdvancedFastFitterParam, FastDispersionFitter"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2d2b35fb",
   "metadata": {},
   "source": [
    "## Simulation Setup "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c770707c",
   "metadata": {},
   "source": [
    "In this example, we investigate the wavelength range of 2-3 µm."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "1e07a08b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:33:18.610828Z",
     "iopub.status.busy": "2025-05-15T10:33:18.610507Z",
     "iopub.status.idle": "2025-05-15T10:33:18.613343Z",
     "shell.execute_reply": "2025-05-15T10:33:18.612764Z"
    }
   },
   "outputs": [],
   "source": [
    "lda0 = 2.5  # central wavelength\n",
    "freq0 = td.C_0 / lda0  # central frequency\n",
    "ldas = np.linspace(2, 3, 101)  # 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"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "be81fdfe",
   "metadata": {},
   "source": [
    "### Define Geometric Parameters\n",
    "\n",
    "The physical meaning of the parameters is schematically shown in Fig. 1(b) of the [paper](https://doi.org/10.1364/OE.489841)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "3a43a9b2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:33:18.614745Z",
     "iopub.status.busy": "2025-05-15T10:33:18.614628Z",
     "iopub.status.idle": "2025-05-15T10:33:18.616832Z",
     "shell.execute_reply": "2025-05-15T10:33:18.616462Z"
    }
   },
   "outputs": [],
   "source": [
    "Px = 1.25  # unit cell period in the x direction\n",
    "Py = 0.4  # unit cell period in the y direction\n",
    "A = 0.24  # width of the Al resonator\n",
    "B = 0.21  # width of the slot\n",
    "alpha = 30 * np.pi / 180  # tilted angle of the slot\n",
    "t_gst = 0.075  # thickness of the GST layer\n",
    "t_al2o3 = 0.025  # thickness of the Al2O3 capping layer\n",
    "t_al = 0.06  # thickness of the Al layer"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "02d340f5",
   "metadata": {},
   "source": [
    "### Define Material Media\n",
    "\n",
    "For aluminum, we directly use the predefined medium from the [material library](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/material_library.html). Alumina is defined by a [Sellmeier](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Sellmeier.html) model.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "0f84df0b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:33:18.617970Z",
     "iopub.status.busy": "2025-05-15T10:33:18.617899Z",
     "iopub.status.idle": "2025-05-15T10:33:18.619878Z",
     "shell.execute_reply": "2025-05-15T10:33:18.619593Z"
    }
   },
   "outputs": [],
   "source": [
    "Al = td.material_library[\"Al\"][\"RakicLorentzDrude1998\"]\n",
    "\n",
    "coeffs = [(1.431, 0.0727**2), (0.651, 0.119**2), (5.341, 18.028**2)]\n",
    "Al2O3 = td.Sellmeier(coeffs=coeffs)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "076cbb25",
   "metadata": {},
   "source": [
    "The crystalline and amorphous states of GST are defined by using the [FastDispersionFitter](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.dispersion.FastDispersionFitter.html) to fit wavelength-dependent refractive index profiles stored in CSV files."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "e50e4b12",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:33:18.621133Z",
     "iopub.status.busy": "2025-05-15T10:33:18.621058Z",
     "iopub.status.idle": "2025-05-15T10:33:19.936443Z",
     "shell.execute_reply": "2025-05-15T10:33:19.936072Z"
    }
   },
   "outputs": [
    {
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       "model_id": "cc3b610ce1d6460480d263dc083e90d1",
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      },
      "text/plain": [
       "Output()"
      ]
     },
     "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\"></pre>\n"
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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fitter = FastDispersionFitter.from_file(\"misc/GST_A_nk.csv\", skiprows=0, delimiter=\",\")\n",
    "advanced_param = AdvancedFastFitterParam(weights=(1, 1))\n",
    "GST_A, _ = fitter.fit(max_num_poles=4, advanced_param=advanced_param, tolerance_rms=0.05)\n",
    "fitter.plot(GST_A)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "e8ae3954",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:33:19.982624Z",
     "iopub.status.busy": "2025-05-15T10:33:19.982452Z",
     "iopub.status.idle": "2025-05-15T10:33:20.821208Z",
     "shell.execute_reply": "2025-05-15T10:33:20.820852Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "1ba05ca8d9774a10bf857309328c0ecf",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fitter = FastDispersionFitter.from_file(\"misc/GST_C_nk.csv\", skiprows=0, delimiter=\",\")\n",
    "GST_C, _ = fitter.fit(max_num_poles=4, advanced_param=advanced_param, tolerance_rms=0.05)\n",
    "fitter.plot(GST_C)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a7a1c66c",
   "metadata": {},
   "source": [
    "### Define Structures in the Unit Cell\n",
    "\n",
    "The unit cell includes a 200 nm-thick aluminum mirror layer on a silicon substrate, followed by a 75 nm GST-225 spacer layer. Above this, there is a 25 nm-thick alumina capping layer, and the assembly is topped with a 60 nm-thick aluminum layer, patterned into parallelogram-shaped resonators. The resonators are defined as [PolySlabs](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.PolySlab.html) with calculated vertices. Since we need to simulate the metasurface with the GST in two states, we define a `make_gst_layer(state)` function to construct the GST layer given the state."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "219afd33",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:33:20.848330Z",
     "iopub.status.busy": "2025-05-15T10:33:20.848267Z",
     "iopub.status.idle": "2025-05-15T10:33:20.851783Z",
     "shell.execute_reply": "2025-05-15T10:33:20.851549Z"
    }
   },
   "outputs": [],
   "source": [
    "inf_eff = 1e2  # effective infinity\n",
    "\n",
    "# calculate the vertices of the resonator on the left\n",
    "vertices = [\n",
    "    (-inf_eff, A / 2),\n",
    "    (-inf_eff, -A / 2),\n",
    "    (-(B / np.cos(alpha) + A * np.tan(alpha)) / 2, -A / 2),\n",
    "    (-(B / np.cos(alpha) - A * np.tan(alpha)) / 2, A / 2),\n",
    "]\n",
    "\n",
    "# define the left resonator structure\n",
    "left_resonator = td.Structure(\n",
    "    geometry=td.PolySlab(vertices=vertices, axis=2, slab_bounds=(0, t_al)), medium=Al\n",
    ")\n",
    "\n",
    "# calculate the vertices of the resonator on the right\n",
    "vertices = [\n",
    "    (inf_eff, A / 2),\n",
    "    (inf_eff, -A / 2),\n",
    "    ((B / np.cos(alpha) - A * np.tan(alpha)) / 2, -A / 2),\n",
    "    ((B / np.cos(alpha) + A * np.tan(alpha)) / 2, A / 2),\n",
    "]\n",
    "\n",
    "# define the right resonator structure\n",
    "right_resonator = td.Structure(\n",
    "    geometry=td.PolySlab(vertices=vertices, axis=2, slab_bounds=(0, t_al)), medium=Al\n",
    ")\n",
    "\n",
    "# define the Al2O3 buffer layer\n",
    "buffer_layer = td.Structure(\n",
    "    geometry=td.Box(center=(0, 0, -t_al2o3 / 2), size=(td.inf, td.inf, t_al2o3)), medium=Al2O3\n",
    ")\n",
    "\n",
    "\n",
    "# define a function to construct the GST layer given the state\n",
    "def make_gst_layer(state):\n",
    "    if state == \"amorphous\":\n",
    "        medium = GST_A\n",
    "    elif state == \"crystalline\":\n",
    "        medium = GST_C\n",
    "    else:\n",
    "        raise ValueError(\"state must be `amorphous` or `crystalline`\")\n",
    "\n",
    "    gst_layer = td.Structure(\n",
    "        geometry=td.Box(center=(0, 0, -t_al2o3 - t_gst / 2), size=(td.inf, td.inf, t_gst)),\n",
    "        medium=medium,\n",
    "    )\n",
    "    return gst_layer\n",
    "\n",
    "\n",
    "# define the Al substrate\n",
    "al_substrate = td.Structure(\n",
    "    geometry=td.Box.from_bounds(\n",
    "        rmin=(-inf_eff, -inf_eff, -inf_eff), rmax=(inf_eff, inf_eff, -t_al2o3 - t_gst)\n",
    "    ),\n",
    "    medium=Al,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "162c797a",
   "metadata": {},
   "source": [
    "### Define Source and Monitors\n",
    "\n",
    "A circularly polarized plane wave is just two perpendicularly linearly polarized plane waves with a 90 degree phase difference. Here we define a `circular_polarized_plane_wave(pol)` function to construct the circularly polarized plane wave given the polarization, either left or right.\n",
    "\n",
    "Since the metasurface is fabricated on a metal mirror, the transmission will be zero. We only need to define a [FluxMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FluxMonitor.html) to measure reflection ($R$). Absorption can be calculated simply by $A=1-R$. To further inspect the resonant field patterns, we define two [FieldMonitors](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FieldMonitor.html) in the $xz$ and $xy$ planes. To reduce the result data size, we only record fields at the resonant wavelength when GST is in the amorphous state, which is predetermined to be 2.4 µm."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "89a54dd9",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:33:20.852771Z",
     "iopub.status.busy": "2025-05-15T10:33:20.852663Z",
     "iopub.status.idle": "2025-05-15T10:33:20.855480Z",
     "shell.execute_reply": "2025-05-15T10:33:20.855260Z"
    }
   },
   "outputs": [],
   "source": [
    "def circular_polarized_plane_wave(pol):\n",
    "    # define a plane wave polarized in the x direction\n",
    "    plane_wave_x = td.PlaneWave(\n",
    "        source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
    "        size=(td.inf, td.inf, 0),\n",
    "        center=(0, 0, 0.3 * lda0),\n",
    "        direction=\"-\",\n",
    "        pol_angle=0,\n",
    "    )\n",
    "\n",
    "    # determine the phase difference given the polarization\n",
    "    if pol == \"left\":\n",
    "        phase = -np.pi / 2\n",
    "    elif pol == \"right\":\n",
    "        phase = np.pi / 2\n",
    "    else:\n",
    "        raise ValueError(\"pol must be `left` or `right`\")\n",
    "\n",
    "    # define a plane wave polarized in the y direction with a phase difference\n",
    "    plane_wave_y = td.PlaneWave(\n",
    "        source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth, phase=phase),\n",
    "        size=(td.inf, td.inf, 0),\n",
    "        center=(0, 0, 0.3 * lda0),\n",
    "        direction=\"-\",\n",
    "        pol_angle=np.pi / 2,\n",
    "    )\n",
    "\n",
    "    return [plane_wave_x, plane_wave_y]\n",
    "\n",
    "\n",
    "# add a flux monitor to detect transmission\n",
    "monitor_r = td.FluxMonitor(\n",
    "    center=[0, 0, 0.5 * lda0], size=[td.inf, td.inf, 0], freqs=freqs, name=\"R\"\n",
    ")\n",
    "\n",
    "freq_res = td.C_0 / 2.4  # resonant frequency\n",
    "\n",
    "# add field monitors to see the field profiles at the absorption peak frequency when GST is in the amorphous state\n",
    "monitor_field_xz = td.FieldMonitor(\n",
    "    center=(0, 0, 0), size=(td.inf, 0, td.inf), freqs=[freq_res], name=\"field_xz\"\n",
    ")\n",
    "\n",
    "monitor_field_xy = td.FieldMonitor(\n",
    "    center=(0, 0, 0), size=(td.inf, td.inf, 0), freqs=[freq_res], name=\"field_xy\"\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "22eba7fa",
   "metadata": {},
   "source": [
    "### Define Simulation\n",
    "\n",
    "Now we are ready to set up the simulation. In total we need to run four simulations to cover both polarizations and GST states. To make it more convenient, we define a `make_sim(pol, state)` function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "d4de3eec",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:33:20.856401Z",
     "iopub.status.busy": "2025-05-15T10:33:20.856281Z",
     "iopub.status.idle": "2025-05-15T10:33:20.871220Z",
     "shell.execute_reply": "2025-05-15T10:33:20.870975Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "    <div class=\"simulation-viewer\" data-width=\"800\" data-height=\"800\" data-simulation=\"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\" ></div>\n",
       "    <script>\n",
       "        \n",
       "        /**\n",
       "        * Simulation Viewer Injector\n",
       "        *\n",
       "        * Monitors the document for elements being added in the form:\n",
       "        *\n",
       "        *    <div class=\"simulation-viewer\" data-width=\"800\" data-height=\"800\" data-simulation=\"{...}\" />\n",
       "        *\n",
       "        * This script will then inject an iframe to the viewer application, and pass it the simulation data\n",
       "        * via the postMessage API on request. The script may be safely included multiple times, with only the\n",
       "        * configuration of the first started script (e.g. viewer URL) applying.\n",
       "        *\n",
       "        */\n",
       "        (function() {\n",
       "            const TARGET_CLASS = \"simulation-viewer\";\n",
       "            const ACTIVE_CLASS = \"simulation-viewer-active\";\n",
       "            const VIEWER_URL = \"https://tidy3d.simulation.cloud/simulation-viewer\";\n",
       "\n",
       "            class SimulationViewerInjector {\n",
       "                constructor() {\n",
       "                    for (var node of document.getElementsByClassName(TARGET_CLASS)) {\n",
       "                        this.injectViewer(node);\n",
       "                    }\n",
       "\n",
       "                    // Monitor for newly added nodes to the DOM\n",
       "                    this.observer = new MutationObserver(this.onMutations.bind(this));\n",
       "                    this.observer.observe(document.body, {childList: true, subtree: true});\n",
       "                }\n",
       "\n",
       "                onMutations(mutations) {\n",
       "                    for (var mutation of mutations) {\n",
       "                        if (mutation.type === 'childList') {\n",
       "                            /**\n",
       "                            * Have found that adding the element does not reliably trigger the mutation observer.\n",
       "                            * It may be the case that setting content with innerHTML does not trigger.\n",
       "                            *\n",
       "                            * It seems to be sufficient to re-scan the document for un-activated viewers\n",
       "                            * whenever an event occurs, as Jupyter triggers multiple events on cell evaluation.\n",
       "                            */\n",
       "                            var viewers = document.getElementsByClassName(TARGET_CLASS);\n",
       "                            for (var node of viewers) {\n",
       "                                this.injectViewer(node);\n",
       "                            }\n",
       "                        }\n",
       "                    }\n",
       "                }\n",
       "\n",
       "                injectViewer(node) {\n",
       "                    // (re-)check that this is a valid simulation container and has not already been injected\n",
       "                    if (node.classList.contains(TARGET_CLASS) && !node.classList.contains(ACTIVE_CLASS)) {\n",
       "                        // Mark node as injected, to prevent re-runs\n",
       "                        node.classList.add(ACTIVE_CLASS);\n",
       "\n",
       "                        var uuid;\n",
       "                        if (window.crypto && window.crypto.randomUUID) {\n",
       "                            uuid = window.crypto.randomUUID();\n",
       "                        } else {\n",
       "                            uuid = \"\" + Math.random();\n",
       "                        }\n",
       "\n",
       "                        var frame = document.createElement(\"iframe\");\n",
       "                        frame.width = node.dataset.width || 800;\n",
       "                        frame.height = node.dataset.height || 800;\n",
       "                        frame.style.cssText = `width:${frame.width}px;height:${frame.height}px;max-width:none;border:0;display:block`\n",
       "                        frame.src = VIEWER_URL + \"?uuid=\" + uuid;\n",
       "\n",
       "                        var postMessageToViewer;\n",
       "                        postMessageToViewer = event => {\n",
       "                            if(event.data.type === 'viewer' && event.data.uuid===uuid){\n",
       "                                frame.contentWindow.postMessage({ type: 'jupyter', uuid, value: node.dataset.simulation, fileType: 'hdf5'}, '*');\n",
       "\n",
       "                                // Run once only\n",
       "                                window.removeEventListener('message', postMessageToViewer);\n",
       "                            }\n",
       "                        };\n",
       "                        window.addEventListener(\n",
       "                            'message',\n",
       "                            postMessageToViewer,\n",
       "                            false\n",
       "                        );\n",
       "\n",
       "                        node.appendChild(frame);\n",
       "                    }\n",
       "                }\n",
       "            }\n",
       "\n",
       "            if (!window.simulationViewerInjector) {\n",
       "                window.simulationViewerInjector = new SimulationViewerInjector();\n",
       "            }\n",
       "        })();\n",
       "    \n",
       "    </script>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "run_time = 3e-13  # simulation run time\n",
    "\n",
    "# simulation domain box\n",
    "sim_box = td.Box.from_bounds(\n",
    "    rmin=(-Px / 2, -Py / 2, -t_al2o3 - t_gst - lda0 / 2), rmax=(Px / 2, Py / 2, t_al + lda0 / 2)\n",
    ")\n",
    "\n",
    "\n",
    "# define a function to construct a simulation given the polarization and GST state\n",
    "def make_sim(pol, state):\n",
    "    sim = td.Simulation(\n",
    "        center=sim_box.center,\n",
    "        size=sim_box.size,\n",
    "        grid_spec=td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lda0),\n",
    "        structures=[\n",
    "            left_resonator,\n",
    "            right_resonator,\n",
    "            buffer_layer,\n",
    "            make_gst_layer(state),\n",
    "            al_substrate,\n",
    "        ],\n",
    "        sources=circular_polarized_plane_wave(pol),\n",
    "        monitors=[monitor_r, monitor_field_xz, monitor_field_xy],\n",
    "        run_time=run_time,\n",
    "        boundary_spec=td.BoundarySpec(\n",
    "            x=td.Boundary.periodic(), y=td.Boundary.periodic(), z=td.Boundary.pml()\n",
    "        ),\n",
    "    )\n",
    "    return sim\n",
    "\n",
    "\n",
    "# make one simulation and plot it to inspect\n",
    "sim_left_A = make_sim(\"left\", \"amorphous\")\n",
    "sim_left_A.plot_3d()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2474780d",
   "metadata": {},
   "source": [
    "In addition, we can inspect the grid to ensure it is sufficiently fine."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "ca12725b",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:33:20.872471Z",
     "iopub.status.busy": "2025-05-15T10:33:20.872323Z",
     "iopub.status.idle": "2025-05-15T10:33:21.094427Z",
     "shell.execute_reply": "2025-05-15T10:33:21.093941Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = sim_left_A.plot(y=0)\n",
    "sim_left_A.plot_grid(y=0, ax=ax)\n",
    "ax.set_ylim(-0.1, 0.1)\n",
    "ax.set_ylim(-0.2, 0.2)\n",
    "ax.set_aspect(\"auto\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ae0bd98d",
   "metadata": {},
   "source": [
    "### Run Simulation Batch\n",
    "\n",
    "To make the simulations more efficient, we define a [Batch](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.web.api.container.Batch.html) and submit it to run all four simulations in parallel. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "7843ff78",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:33:21.095811Z",
     "iopub.status.busy": "2025-05-15T10:33:21.095701Z",
     "iopub.status.idle": "2025-05-15T10:35:26.728436Z",
     "shell.execute_reply": "2025-05-15T10:35:26.727931Z"
    }
   },
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f2fb59597b9b409d95a52b9d18d2073c",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "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\"></pre>\n"
      ],
      "text/plain": []
     },
     "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\">12:33:24 CEST </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">4</span> tasks.                      \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m12:33:24 CEST\u001b[0m\u001b[2;36m \u001b[0mStarted working on Batch containing \u001b[1;36m4\u001b[0m tasks.                      \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\">12:33:28 CEST </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1.195</span> for the whole batch.               \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m12:33:28 CEST\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m1.195\u001b[0m for the whole batch.               \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>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>the Batch has completed.                                          \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mUse \u001b[32m'Batch.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed FlexCredit cost after   \n",
       "\u001b[2;36m              \u001b[0mthe Batch has completed.                                          \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c46b76c9d5ea4b11a032336e1ba79f59",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "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\">12:35:18 CEST </span>Batch complete.                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m12:35:18 CEST\u001b[0m\u001b[2;36m \u001b[0mBatch complete.                                                   \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\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "d1a84645fee4410db7d33c960693e0cc",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "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\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# define four simulations\n",
    "sims = {\n",
    "    \"LCP_A\": sim_left_A,\n",
    "    \"LCP_C\": make_sim(\"left\", \"crystalline\"),\n",
    "    \"RCP_A\": make_sim(\"right\", \"amorphous\"),\n",
    "    \"RCP_C\": make_sim(\"right\", \"crystalline\"),\n",
    "}\n",
    "\n",
    "# create a batch and run all sims in parallel\n",
    "batch = web.Batch(simulations=sims)\n",
    "batch_results = batch.run(path_dir=\"data\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c836569f",
   "metadata": {},
   "source": [
    "## Result Analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e9fd369e",
   "metadata": {},
   "source": [
    "After the simulations are complete, we can extract the absorption spectra for all simulations."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "66c77096",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:35:27.503617Z",
     "iopub.status.busy": "2025-05-15T10:35:27.503552Z",
     "iopub.status.idle": "2025-05-15T10:35:28.529872Z",
     "shell.execute_reply": "2025-05-15T10:35:28.529458Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# extract absorption from four simulations\n",
    "A_LCP_A = 1 - batch_results[\"LCP_A\"][\"R\"].flux / 2\n",
    "A_LCP_C = 1 - batch_results[\"LCP_C\"][\"R\"].flux / 2\n",
    "A_RCP_A = 1 - batch_results[\"RCP_A\"][\"R\"].flux / 2\n",
    "A_RCP_C = 1 - batch_results[\"RCP_C\"][\"R\"].flux / 2\n",
    "\n",
    "# plot absorption spectra\n",
    "plt.plot(ldas, A_LCP_A, \"red\", label=\"LCP_A\")\n",
    "plt.plot(ldas, A_RCP_A, \"red\", linestyle=\"--\", label=\"RCP_A\")\n",
    "plt.plot(ldas, A_LCP_C, \"blue\", label=\"LCP_C\")\n",
    "plt.plot(ldas, A_RCP_C, \"blue\", linestyle=\"--\", label=\"RCP_C\")\n",
    "plt.ylabel(\"Absorption\")\n",
    "plt.xlabel(r\"Wavelength ($\\mu m$)\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aab8d370",
   "metadata": {},
   "source": [
    "With the absorption spectra, we can further calculate CD for both GST states. Note that compared to the [publication](), the results are similar but not identical, which is likely due to the slightly different refractive indices for the materials."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "f13b358d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:35:28.531080Z",
     "iopub.status.busy": "2025-05-15T10:35:28.530994Z",
     "iopub.status.idle": "2025-05-15T10:35:28.581006Z",
     "shell.execute_reply": "2025-05-15T10:35:28.580673Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot CD spectra\n",
    "plt.plot(ldas, A_LCP_A - A_RCP_A, \"red\", label=\"A\")\n",
    "plt.plot(ldas, A_LCP_C - A_RCP_C, \"blue\", label=\"C\")\n",
    "plt.title(\"Circular dichroism (CD)\")\n",
    "plt.ylabel(\"CD\")\n",
    "plt.xlabel(r\"Wavelength ($\\mu m$)\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "429ef077",
   "metadata": {},
   "source": [
    "Lastly, we can plot the field distributions at the resonant wavelength when GST is in the amorphous state to visualize the resonant mode. We can see that with the left circularly polarized incident, the response is much stronger, leading to a much higher absorption as seen above."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "e1b9c92f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:35:28.582371Z",
     "iopub.status.busy": "2025-05-15T10:35:28.582290Z",
     "iopub.status.idle": "2025-05-15T10:35:29.472548Z",
     "shell.execute_reply": "2025-05-15T10:35:29.472066Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(2, 1, tight_layout=True)\n",
    "batch_results[\"LCP_A\"].plot_field(\n",
    "    field_monitor_name=\"field_xy\", field_name=\"E\", val=\"abs\", vmin=0, vmax=500, ax=ax[0]\n",
    ")\n",
    "batch_results[\"RCP_A\"].plot_field(\n",
    "    field_monitor_name=\"field_xy\", field_name=\"E\", val=\"abs\", vmin=0, vmax=500, ax=ax[1]\n",
    ")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "31caddcc",
   "metadata": {},
   "source": [
    "Similarly, plot the field distributions in the $xz$ plane."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "f5d42178",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-05-15T10:35:29.473884Z",
     "iopub.status.busy": "2025-05-15T10:35:29.473800Z",
     "iopub.status.idle": "2025-05-15T10:35:30.457247Z",
     "shell.execute_reply": "2025-05-15T10:35:30.456788Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x300 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize=(8, 3), tight_layout=True)\n",
    "batch_results[\"LCP_A\"].plot_field(\n",
    "    field_monitor_name=\"field_xz\", field_name=\"E\", val=\"abs\", vmin=0, vmax=500, ax=ax[0]\n",
    ")\n",
    "ax[0].set_ylim(-0.2, 1)\n",
    "batch_results[\"RCP_A\"].plot_field(\n",
    "    field_monitor_name=\"field_xz\", field_name=\"E\", val=\"abs\", vmin=0, vmax=500, ax=ax[1]\n",
    ")\n",
    "ax[1].set_ylim(-0.2, 1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "fa56861c",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "applications": [
   "Metamaterials, gratings, and other periodic structures"
  ],
  "description": "This notebook demonstrates how to model a chiral metasurface based on phase change material in Tidy3D FDTD.",
  "feature_image": "./img/tunable_chiral_metasurface.png",
  "features": [
   "Parameter sweep",
   "Material fitting"
  ],
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "keywords": "chiral, metasurface, circular dichroism, GST, phase change, Tidy3D, 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": "3.12.3"
  },
  "title": "Tunable Chiral Metasurface Based on Phase Change Material | Flexcompute",
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          "text/html": "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">Best weighted RMS error: 0.0445 <span style=\"color: #729c1f; text-decoration-color: #729c1f\">━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━</span> <span style=\"color: #800080; text-decoration-color: #800080\">100%</span> <span style=\"color: #008080; text-decoration-color: #008080\">0:00:00</span>\n</pre>\n",
          "text/plain": "Best weighted RMS error: 0.0445 \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[36m0:00:00\u001b[0m\n"
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