90BendPolarizationSplitterRotator.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "5faef388",
   "metadata": {},
   "source": [
    "# Polarization splitter and rotator based on 90 degree bends"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "55e0b34f",
   "metadata": {},
   "source": [
    "Note: the cost of running the entire notebook is larger than 1 FlexCredit.\n",
    "\n",
    "Efficient manipulation of the polarization state of light is essential for many photonic applications including optical communications, quantum information processing, and sensing. Polarization beam splitters and rotators (PSRs) are key devices that can split an input beam into two TE and TM output beams and rotate the TM beam into TE polarization. This notebook presents the simulation of a compact and highly efficient PSR based on 90 degree bends in a silicon-on-insulator platform. The design is proposed in the work `Kang Tan, Ying Huang, Guo-Qiang Lo, Chengkuo Lee, and Changyuan Yu, \"Compact highly-efficient polarization splitter and rotator based on 90° bends,\" Opt. Express 24, 14506-14512 (2016)` [DOI: 10.1364/OE.24.014506](https://doi.org/10.1364/OE.24.014506) and experimentally demonstrated in `Kang Tan, Ying Huang, Guo-Qiang Lo, Changyuan Yu, and Chengkuo Lee, \"Experimental realization of an O-band compact polarization splitter and rotator,\" Opt. Express 25, 3234-3241 (2017)` [DOI: 10.1364/OE.25.003234](https://doi.org/10.1364/OE.25.003234).\n",
    "\n",
    "The proposed PSR consists of two parallel 90 degree bend waveguides with slightly different cross-sections designed for phase matching between the TM mode of the inner bend and the TE mode of the outer bend. The inner bend is designed to strongly confine the TE mode while allowing the TM mode to couple to the outer bend. By optimizing the geometry, efficient polarization splitting and rotating with low loss and high extinction ratio is achieved in a compact device footprint.\n",
    "\n",
    "<img src=\"img/90_bend_PSR_1.png\" width=\"300\" alt=\"Schematic of the PSR\">"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "3796cc1e",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import gdstk\n",
    "\n",
    "import tidy3d as td\n",
    "import tidy3d.web as web\n",
    "from tidy3d.plugins.mode import ModeSolver\n",
    "from tidy3d.plugins.mode.web import run as run_mode_solver"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1a4a87ab",
   "metadata": {},
   "source": [
    "## Simulation Setup"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0f3cc351",
   "metadata": {},
   "source": [
    "Define simulation wavelength range to be 1.25 μm to 1.37 μm, covering the entire O-band."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "8272fe21",
   "metadata": {},
   "outputs": [],
   "source": [
    "lda0 = 1.31  # central wavelength\n",
    "freq0 = td.C_0 / lda0  # central frequency\n",
    "ldas = np.linspace(1.25, 1.37, 21)  # 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"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6f31e220",
   "metadata": {},
   "source": [
    "In this device, the PSR is made of silicon. The cladding and substrate are made of silicon oxide. We will simply use the popularly used refractive index data from Palik by calling Tidy3D's built-in [material library](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/material_library.html)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "2f9950ab",
   "metadata": {},
   "outputs": [],
   "source": [
    "# define silicon medium\n",
    "si = td.material_library[\"cSi\"][\"Palik_Lossless\"]\n",
    "\n",
    "# define silicon oxide medium\n",
    "sio2 = td.material_library[\"SiO2\"][\"Palik_Lossless\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "381ace0d",
   "metadata": {},
   "source": [
    "Define the geometric parameters. The inner bend is fully etched while the outer bend is partially etched. The cross section is schematically shown below.\n",
    "\n",
    "<img src=\"img/90_bend_PSR_2.png\" width=\"400\" alt=\"Cross section of the waveguides\">"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "26a252a5",
   "metadata": {},
   "outputs": [],
   "source": [
    "R1 = 10  # radius of the inner bend\n",
    "H1 = 0.22  # thickness of the fully etched waveguide\n",
    "W1 = 0.4  # width of the inner bend waveguide\n",
    "Wg = 0.2  # width of the gap\n",
    "W2 = 0.21  # width of the fully etched outer waveguide\n",
    "W3 = 0.285  # width of the partially etched outer waveguide\n",
    "H2 = 0.11  # thickness of the partially etched waveguide\n",
    "buffer = 5  # buffer spacing"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "95cecea2",
   "metadata": {},
   "source": [
    "Since the PSR contains various bending parts, the easiest way to define the geometry is to use the `gdstk` library. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "f8546a71",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# define a gds cell\n",
    "cell = gdstk.Cell(\"psi\")\n",
    "\n",
    "# radius of the s bend\n",
    "s_bend_radius = 6\n",
    "# angle of the s bend\n",
    "s_bend_angle = np.pi / 3\n",
    "\n",
    "# define the inner bend path\n",
    "inner_path = gdstk.RobustPath(\n",
    "    initial_point=(-buffer, 0), width=W1, tolerance=1e-4, layer=1, datatype=0\n",
    ")\n",
    "inner_path.horizontal(x=0)\n",
    "inner_path.arc(radius=R1, initial_angle=-np.pi / 2, final_angle=0)\n",
    "inner_path.arc(radius=s_bend_radius, initial_angle=0, final_angle=s_bend_angle)\n",
    "inner_path.arc(radius=s_bend_radius, initial_angle=-np.pi + s_bend_angle, final_angle=-np.pi)\n",
    "inner_path.vertical(y=buffer, relative=True)\n",
    "cell.add(inner_path)\n",
    "\n",
    "# starting coordinates of the outer bend path\n",
    "x0 = -2\n",
    "y0 = -2\n",
    "\n",
    "# define the fully etched outer bend path\n",
    "outer_path = gdstk.RobustPath(\n",
    "    initial_point=(x0, -buffer), width=W2, tolerance=1e-4, layer=1, datatype=0\n",
    ")\n",
    "outer_path.vertical(y=-W1 / 2 - Wg - W2 / 2 + y0)\n",
    "outer_path.arc(radius=2, initial_angle=np.pi, final_angle=np.pi / 2)\n",
    "outer_path.arc(radius=R1 + W1 / 2 + Wg + W2 / 2, initial_angle=-np.pi / 2, final_angle=0)\n",
    "outer_path.vertical(y=buffer * 3, relative=True)\n",
    "cell.add(outer_path)\n",
    "\n",
    "# define the partially etched outer bend path\n",
    "partially_etched_path = gdstk.RobustPath(\n",
    "    initial_point=(-2 + W3 / 2, -buffer), width=W3 - W2, tolerance=1e-4, layer=2, datatype=0\n",
    ")\n",
    "partially_etched_path.vertical(y=-W1 / 2 - Wg - W2 / 2 + y0)\n",
    "partially_etched_path.arc(radius=2 - W3 / 2, initial_angle=np.pi, final_angle=np.pi / 2)\n",
    "partially_etched_path.arc(\n",
    "    radius=R1 + W1 / 2 + Wg + W2 / 2 + W3 / 2, initial_angle=-np.pi / 2, final_angle=0\n",
    ")\n",
    "partially_etched_path.vertical(y=buffer * 3, relative=True)\n",
    "cell.add(partially_etched_path)\n",
    "\n",
    "# define structures from the gds\n",
    "inner_bend = td.Structure(\n",
    "    geometry=td.PolySlab.from_gds(\n",
    "        cell,\n",
    "        gds_layer=1,\n",
    "        axis=2,\n",
    "        slab_bounds=(0, H1),\n",
    "    )[0],\n",
    "    medium=si,\n",
    ")\n",
    "\n",
    "outer_bend = td.Structure(\n",
    "    geometry=td.PolySlab.from_gds(\n",
    "        cell,\n",
    "        gds_layer=1,\n",
    "        axis=2,\n",
    "        slab_bounds=(0, H1),\n",
    "    )[1],\n",
    "    medium=si,\n",
    ")\n",
    "\n",
    "partially_etched_bend = td.Structure(\n",
    "    geometry=td.PolySlab.from_gds(\n",
    "        cell,\n",
    "        gds_layer=2,\n",
    "        axis=2,\n",
    "        slab_bounds=(0, H2),\n",
    "    )[0],\n",
    "    medium=si,\n",
    ")\n",
    "\n",
    "# plot the structures to visualize\n",
    "ax = inner_bend.plot(z=H2 / 2)\n",
    "ax = outer_bend.plot(z=H2 / 2, ax=ax)\n",
    "partially_etched_bend.plot(z=H2 / 2, ax=ax)\n",
    "\n",
    "# define simulation domain bounds\n",
    "x_min = -3\n",
    "x_max = 12\n",
    "y_min = -3\n",
    "y_max = 22\n",
    "z_min = -1\n",
    "z_max = 1\n",
    "\n",
    "ax.set_xlim(x_min, x_max)\n",
    "ax.set_ylim(y_min, y_max)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "514133af",
   "metadata": {},
   "source": [
    "Define a [ModeSource](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeSource.html) first to launch the TM mode at the input waveguide. Later, we will also simulate a TE mode source. `mode_index=1` specifies that we are selecting the TM0 mode while `mode_index=0` corresponds to the TE0 mode since they are ordered by their effective index values in a decreasing order.\n",
    "\n",
    "To measure mode conversion efficiencies at the through and cross ports, we define two [ModeMonitors](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeMonitor.html). We also define a [FieldMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FieldMonitor.html) to help visualize the mode propagation and conversion. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "89fa9458",
   "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\">[13:59:43] </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Default value for the field monitor          </span> <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\components\\monitor.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">monitor.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\components\\monitor.py#261\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">261</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #008000; text-decoration-color: #008000\">'colocate'</span><span style=\"color: #800000; text-decoration-color: #800000\"> setting has changed to </span><span style=\"color: #008000; text-decoration-color: #008000\">'True'</span><span style=\"color: #800000; text-decoration-color: #800000\"> in Tidy3D    </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">              </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2.4</span><span style=\"color: #800000; text-decoration-color: #800000\">.</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0</span><span style=\"color: #800000; text-decoration-color: #800000\">. All field components will be colocated to the  </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">              </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #800000; text-decoration-color: #800000\">grid boundaries. Set to </span><span style=\"color: #008000; text-decoration-color: #008000\">'False'</span><span style=\"color: #800000; text-decoration-color: #800000\"> to get the raw fields </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">              </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #800000; text-decoration-color: #800000\">on the Yee grid instead.                              </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">              </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[13:59:43]\u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING: Default value for the field monitor          \u001b[0m \u001b]8;id=476466;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\components\\monitor.py\u001b\\\u001b[2mmonitor.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=25223;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\components\\monitor.py#261\u001b\\\u001b[2m261\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b[32m'colocate'\u001b[0m\u001b[31m setting has changed to \u001b[0m\u001b[32m'True'\u001b[0m\u001b[31m in Tidy3D    \u001b[0m \u001b[2m              \u001b[0m\n",
       "\u001b[2;36m           \u001b[0m\u001b[1;36m2.4\u001b[0m\u001b[31m.\u001b[0m\u001b[1;36m0\u001b[0m\u001b[31m. All field components will be colocated to the  \u001b[0m \u001b[2m              \u001b[0m\n",
       "\u001b[2;36m           \u001b[0m\u001b[31mgrid boundaries. Set to \u001b[0m\u001b[32m'False'\u001b[0m\u001b[31m to get the raw fields \u001b[0m \u001b[2m              \u001b[0m\n",
       "\u001b[2;36m           \u001b[0m\u001b[31mon the Yee grid instead.                              \u001b[0m \u001b[2m              \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# add a mode source as excitation\n",
    "mode_spec = td.ModeSpec(num_modes=2, target_neff=3.5)\n",
    "mode_source = td.ModeSource(\n",
    "    center=(-lda0, 0, H1 / 2),\n",
    "    size=(0, 4 * W1, 6 * H1),\n",
    "    source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
    "    direction=\"+\",\n",
    "    mode_spec=mode_spec,\n",
    "    mode_index=1,\n",
    ")\n",
    "\n",
    "# add a mode monitor to measure transmission at the cross port\n",
    "mode_monitor_cross = td.ModeMonitor(\n",
    "    center=(R1 + W1 / 2 + Wg + W2 / 2 + W3 / 2, R1 + 2 * buffer, H1 / 2),\n",
    "    size=(8 * W1, 0, 6 * H1),\n",
    "    freqs=freqs,\n",
    "    mode_spec=mode_spec,\n",
    "    name=\"cross\",\n",
    ")\n",
    "\n",
    "# add a mode monitor to measure transmission at the through port\n",
    "mode_monitor_through = td.ModeMonitor(\n",
    "    center=(4, R1 + 2 * buffer, H1 / 2),\n",
    "    size=(8 * W1, 0, 6 * H1),\n",
    "    freqs=freqs,\n",
    "    mode_spec=mode_spec,\n",
    "    name=\"through\",\n",
    ")\n",
    "\n",
    "# add a field monitor to visualize field distribution at z=t/2\n",
    "field_monitor = td.FieldMonitor(\n",
    "    center=(0, 0, H2 / 2), size=(td.inf, td.inf, 0), freqs=[freq0], name=\"field\"\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a01abde4",
   "metadata": {},
   "source": [
    "Define a Tidy3D simulation. Rememeber to set `medium=sio2`, which makes the background medium silicon oxide instead of air. To ensure good accuracy, we use an automatic nonuniform grid with `min_steps_per_wvl=20`."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "33931391",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "run_time = 1e-12  # simulation run time\n",
    "\n",
    "# define a simulation domain box\n",
    "sim_box = td.Box.from_bounds(rmin=(x_min, y_min, z_min), rmax=(x_max, y_max, z_max))\n",
    "\n",
    "# construct simulation\n",
    "sim_tm = 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=[inner_bend, outer_bend, partially_etched_bend],\n",
    "    sources=[mode_source],\n",
    "    monitors=[mode_monitor_cross, mode_monitor_through, field_monitor],\n",
    "    run_time=run_time,\n",
    "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n",
    "    medium=sio2,\n",
    ")\n",
    "\n",
    "# plot simulation\n",
    "sim_tm.plot(z=H2 / 2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4b7526ba",
   "metadata": {},
   "source": [
    "To have a better visualization, we can also plot the simulation in 3D."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "2e91fab4",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "    <iframe id=\"simulation-viewer169471438344892042\" src=https://feature-simulation-viewer.d3a9gfg7glllfq.amplifyapp.com/simulation-viewer?uuid=169471438344892042 width=\"800\" height=\"800\" allowfullscreen=\"true\"></iframe>\n",
       "    <script>\n",
       "        \n",
       "    window.postMessageToViewer169471438344892042 = event => {\n",
       "        if(event.data.type === 'viewer'&&event.data.uuid==='169471438344892042'){\n",
       "            document.getElementById('simulation-viewer169471438344892042').contentWindow.postMessage({ type: 'jupyter', uuid:'169471438344892042', value:{\n",
       "    \"type\": \"Simulation\",\n",
       "    \"center\": [\n",
       "        4.5,\n",
       "        9.5,\n",
       "        0.0\n",
       "    ],\n",
       "    \"size\": [\n",
       "        15.0,\n",
       "        25.0,\n",
       "        2.0\n",
       "    ],\n",
       "    \"run_time\": 1e-12,\n",
       "    \"medium\": {\n",
       "        \"name\": null,\n",
       "        \"frequency_range\": [\n",
       "            59958491600000.0,\n",
       "            1998616386666666.8\n",
       "        ],\n",
       "        \"allow_gain\": false,\n",
       "        \"nonlinear_spec\": null,\n",
       "        \"type\": \"PoleResidue\",\n",
       "        \"eps_inf\": 1.5385442336875639,\n",
       "        \"poles\": [\n",
       "            [\n",
       "                {\n",
       "                    \"real\": -11504139.374277674,\n",
       "                    \"imag\": -1.595196740783775e+16\n",
       "                },\n",
       "                {\n",
       "                    \"real\": 7507685.43042605,\n",
       "                    \"imag\": 4535416182817100.0\n",
       "                }\n",
       "            ],\n",
       "            [\n",
       "                {\n",
       "                    \"real\": -249390.3565044153,\n",
       "                    \"imag\": -172280738540723.53\n",
       "                },\n",
       "                {\n",
       "                    \"real\": 46272.506981344035,\n",
       "                    \"imag\": 99704543223121.88\n",
       "                }\n",
       "            ]\n",
       "        ]\n",
       "    },\n",
       "    \"symmetry\": [\n",
       "        0,\n",
       "        0,\n",
       "        0\n",
       "    ],\n",
       "    \"structures\": [\n",
       "        {\n",
       "            \"geometry\": {\n",
       "                \"type\": \"PolySlab\",\n",
       "                \"axis\": 2,\n",
       "                \"sidewall_angle\": 0.0,\n",
       "                \"reference_plane\": \"middle\",\n",
       "                \"slab_bounds\": [\n",
       "                    0.0,\n",
       "                    0.22\n",
       "                ],\n",
       "                \"dilation\": 0.0,\n",
       "                \"vertices\": [\n",
       "                    [\n",
       "                        -1.895,\n",
       "                        -5.0\n",
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       "                    [\n",
       "                        -2.105,\n",
       "                        -5.0\n",
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       "                    [\n",
       "                        -2.105,\n",
       "                        -4.37625\n",
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       "                    [\n",
       "                        -2.105,\n",
       "                        -3.7525\n",
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       "                    [\n",
       "                        -2.105,\n",
       "                        -3.12875\n",
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       "                    [\n",
       "                        -2.105,\n",
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       "                    [\n",
       "                        -2.104366013356,\n",
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       "                    [\n",
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       "                    [\n",
       "                        -2.101038627655,\n",
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       "                    [\n",
       "                        -2.099296411309,\n",
       "                        -2.350146593623\n",
       "                    ],\n",
       "                    [\n",
       "                        -2.097238048645,\n",
       "                        -2.324396657515\n",
       "                    ],\n",
       "                    [\n",
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   "source": [
    "## Mode Analysis"
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   "source": [
    "To analyze the working principle of the design, we need to perform mode solving for the outer bend waveguide. To ensure sufficient accuracy, we will run the mode solving in the server, where subpixel averaging is applied. First, solve for two modes and plot the mode profiles."
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #808000; text-decoration-color: #808000\">task_id</span>=<span style=\"color: #008000; text-decoration-color: #008000\">'fdve-dc4f568c-21c5-49b8-8cd2-e1ed9152afbbv1'</span>,      <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">         </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #808000; text-decoration-color: #808000\">solver_id</span>=<span style=\"color: #008000; text-decoration-color: #008000\">'mo-a272c5d6-e22d-4132-a1c6-b20505b1c015'</span>.        <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">         </span>\n",
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       "\u001b[2;36m           \u001b[0m\u001b[33mtask_id\u001b[0m=\u001b[32m'fdve-dc4f568c-21c5-49b8-8cd2-e1ed9152afbbv1'\u001b[0m,      \u001b[2m         \u001b[0m\n",
       "\u001b[2;36m           \u001b[0m\u001b[33msolver_id\u001b[0m=\u001b[32m'mo-a272c5d6-e22d-4132-a1c6-b20505b1c015'\u001b[0m.        \u001b[2m         \u001b[0m\n"
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       "\u001b[2;36m[13:59:51]\u001b[0m\u001b[2;36m \u001b[0mMode solver status: running                                 \u001b]8;id=933891;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\plugins\\mode\\web.py\u001b\\\u001b[2mweb.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=628765;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\plugins\\mode\\web.py#93\u001b\\\u001b[2m93\u001b[0m\u001b]8;;\u001b\\\n"
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",
      "text/plain": [
       "<Figure size 800x300 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mode_solver = ModeSolver(\n",
    "    simulation=sim_tm,\n",
    "    plane=td.Box(center=mode_monitor_cross.center, size=mode_monitor_cross.size),\n",
    "    mode_spec=mode_spec,\n",
    "    freqs=freqs,\n",
    ")\n",
    "mode_data_outer = run_mode_solver(mode_solver)\n",
    "\n",
    "\n",
    "def plot_field_intensity(mode_data):\n",
    "    fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(8, 3), tight_layout=True)\n",
    "    cmap = \"magma\"\n",
    "    mode_data.intensity.sel(mode_index=0, f=freq0).plot(x=\"x\", y=\"z\", cmap=cmap, ax=ax1)\n",
    "    mode_data.intensity.sel(mode_index=1, f=freq0).plot(x=\"x\", y=\"z\", cmap=cmap, ax=ax2)\n",
    "    ax1.set_title(\"First mode\")\n",
    "    ax2.set_title(\"Second mode\")\n",
    "\n",
    "\n",
    "plot_field_intensity(mode_data_outer)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "765afc82",
   "metadata": {},
   "source": [
    "We can also plot the field components to better visualize the polarizations of the modes. The first mode is TE-like as the dominant field component is $E_x$ while the second mode is TM-like with the dominant component being $E_z$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "25546f0c",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_field_components(mode_data):\n",
    "    f, ax = plt.subplots(2, 3, figsize=(10, 5), tight_layout=True)\n",
    "    cmap = \"coolwarm\"\n",
    "    abs(mode_data.Ex.sel(mode_index=0, f=freq0)).plot(x=\"x\", y=\"z\", ax=ax[0][0], cmap=cmap)\n",
    "    abs(mode_data.Ey.sel(mode_index=0, f=freq0)).plot(x=\"x\", y=\"z\", ax=ax[0][1], cmap=cmap)\n",
    "    abs(mode_data.Ez.sel(mode_index=0, f=freq0)).plot(x=\"x\", y=\"z\", ax=ax[0][2], cmap=cmap)\n",
    "    abs(mode_data.Ex.sel(mode_index=1, f=freq0)).plot(x=\"x\", y=\"z\", ax=ax[1][0], cmap=cmap)\n",
    "    abs(mode_data.Ey.sel(mode_index=1, f=freq0)).plot(x=\"x\", y=\"z\", ax=ax[1][1], cmap=cmap)\n",
    "    abs(mode_data.Ez.sel(mode_index=1, f=freq0)).plot(x=\"x\", y=\"z\", ax=ax[1][2], cmap=cmap)\n",
    "\n",
    "    ax[0][0].set_title(\"|Ex|\")\n",
    "    ax[0][1].set_title(\"|Ey|\")\n",
    "    ax[0][2].set_title(\"|Ez|\")\n",
    "    ax[1][0].set_title(\"|Ex|\")\n",
    "    ax[1][1].set_title(\"|Ey|\")\n",
    "    ax[1][2].set_title(\"|Ez|\")\n",
    "\n",
    "\n",
    "plot_field_components(mode_data_outer)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "af6766cd",
   "metadata": {},
   "source": [
    "Efficient mode conversion from the inner bend to the outer bend is achieved when the phase matching condition is met. For waveguide bends, the phase matching condition is given by the equal optical path length (OPL). That is, $N_1k_0R_1\\theta = N_2k_0R_2\\theta$, where $N_1$ and $N_2$ are the effective indices of the inner bend mode and outer bend mode, $k_0$ is the free space wave vector, $R_1$ and $R_2$ are the inner bend radius and outer bend radius, and $\\theta$ is the angle of the bend. Let's check the OPLs of the second mode (TM) at the inner waveguide to the first mode (TE) at the outer waveguide to see if they match. To do so, first compute the OPLs for the outer waveguide as we have solved for the modes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "6e437627",
   "metadata": {},
   "outputs": [],
   "source": [
    "# extract effective indices\n",
    "n_eff_outer = mode_data_outer.n_eff.values\n",
    "\n",
    "# compute OPLs\n",
    "OPL_outer = n_eff_outer * (R1 + W1 / 2 + Wg + W3 / 2)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "86261c4c",
   "metadata": {},
   "source": [
    "Then we will do the same for the inner bend."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "1cdc69d0",
   "metadata": {},
   "outputs": [
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",
      "text/plain": [
       "<Figure size 800x300 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mode_solver = ModeSolver(\n",
    "    simulation=sim_tm,\n",
    "    plane=td.Box(center=mode_monitor_through.center, size=mode_monitor_through.size),\n",
    "    mode_spec=mode_spec,\n",
    "    freqs=freqs,\n",
    ")\n",
    "mode_data_inner = run_mode_solver(mode_solver)\n",
    "\n",
    "plot_field_intensity(mode_data_inner)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "f302b33b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x500 with 12 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_field_components(mode_data_inner)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "13f4ea8d",
   "metadata": {},
   "source": [
    "Calculate the OPLs for the inner waveguide and plot them as well as the OPLs for the outer waveguide. We see that the OPL of the TM mode on the inner bend (red curve) closely matches the OPL of the TE mode on the outer bend (blue dashed curve)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "08484033",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n_eff_inner = mode_data_inner.n_eff.values\n",
    "OPL_inner = n_eff_inner * R1\n",
    "\n",
    "# plot calculated OPLs\n",
    "plt.plot(ldas, OPL_outer[:, 0], linewidth=3, linestyle=\"--\", label=\"TE mode on outer bend\")\n",
    "plt.plot(ldas, OPL_outer[:, 1], linewidth=3, linestyle=\"--\", label=\"TM mode on outer bend\")\n",
    "plt.plot(ldas, OPL_inner[:, 0], linewidth=3, label=\"TE mode on inner bend\")\n",
    "plt.plot(ldas, OPL_inner[:, 1], linewidth=3, label=\"TM mode on inner bend\")\n",
    "plt.legend()\n",
    "plt.ylim(16, 30)\n",
    "plt.xlabel(\"Wavelength ($\\mu m$)\")\n",
    "plt.ylabel(\"OPL (a.u.)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3c6d5c06",
   "metadata": {},
   "source": [
    "## Running the TM Simulation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "130f3dcb",
   "metadata": {},
   "source": [
    "Now that we have confirmed the design from a mode analysis perspective, we need to verify the device performance using 3D FDTD. We are ready to submit the simulation job to the server. Before running the simulation, we can get a cost estimation using `estimate_cost`. This prevents us from accidentally running large jobs that we set up by mistake. The estimated cost is the maximum cost corresponding to running all the time steps."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "a3b46296",
   "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\">[14:01:00] </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'psr_tm'</span> with task_id                      <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#188\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">188</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-f0fb3268-cb59-4024-8550-68b7a01ded4dv1'</span>.          <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:01:00]\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'psr_tm'\u001b[0m with task_id                      \u001b]8;id=241925;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=34733;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#188\u001b\\\u001b[2m188\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b[32m'fdve-f0fb3268-cb59-4024-8550-68b7a01ded4dv1'\u001b[0m.          \u001b[2m             \u001b[0m\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>View task using web UI at                               <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#190\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">190</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-f0fb3268-cb59-4024-8550-68b7a01ded4dv1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-</span></a> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-f0fb3268-cb59-4024-8550-68b7a01ded4dv1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">f0fb3268-cb59-4024-8550-68b7a01ded4dv1'</span></a>.                <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                               \u001b]8;id=423047;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=900879;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#190\u001b\\\u001b[2m190\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=395654;https://tidy3d.simulation.cloud/workbench?taskId=fdve-f0fb3268-cb59-4024-8550-68b7a01ded4dv1\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=676540;https://tidy3d.simulation.cloud/workbench?taskId=fdve-f0fb3268-cb59-4024-8550-68b7a01ded4dv1\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=395654;https://tidy3d.simulation.cloud/workbench?taskId=fdve-f0fb3268-cb59-4024-8550-68b7a01ded4dv1\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=465182;https://tidy3d.simulation.cloud/workbench?taskId=fdve-f0fb3268-cb59-4024-8550-68b7a01ded4dv1\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=395654;https://tidy3d.simulation.cloud/workbench?taskId=fdve-f0fb3268-cb59-4024-8550-68b7a01ded4dv1\u001b\\\u001b[32m-\u001b[0m\u001b]8;;\u001b\\ \u001b[2m             \u001b[0m\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=395654;https://tidy3d.simulation.cloud/workbench?taskId=fdve-f0fb3268-cb59-4024-8550-68b7a01ded4dv1\u001b\\\u001b[32mf0fb3268-cb59-4024-8550-68b7a01ded4dv1'\u001b[0m\u001b]8;;\u001b\\.                \u001b[2m             \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "70d8da18d20244e6a76951fb3dc13889",
       "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\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
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     "metadata": {},
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    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The estimated maximum cost is 1.085 Flex Credits.\n"
     ]
    }
   ],
   "source": [
    "job_tm = web.Job(simulation=sim_tm, task_name=\"psr_tm\", verbose=True)\n",
    "estimated_cost = web.estimate_cost(job_tm.task_id)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1a3ed992",
   "metadata": {},
   "source": [
    "The cost is reasonable so we can run the simulation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "0cf30b5b",
   "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\">[14:01:03] </span>status = queued                                         <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#361\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">361</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:01:03]\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                         \u001b]8;id=39023;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=76777;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#361\u001b\\\u001b[2m361\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "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\">[14:01:06] </span>status = preprocess                                     <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#355\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">355</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:01:06]\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess                                     \u001b]8;id=826642;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=415527;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#355\u001b\\\u001b[2m355\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\"></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\">[14:01:11] </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1.085</span>. Use                     <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#341\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">341</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed FlexCredit   <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>cost after a simulation run.                            <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:01:11]\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m1.085\u001b[0m. Use                     \u001b]8;id=811045;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=85657;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#341\u001b\\\u001b[2m341\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed FlexCredit   \u001b[2m             \u001b[0m\n",
       "\u001b[2;36m           \u001b[0mcost after a simulation run.                            \u001b[2m             \u001b[0m\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>starting up solver                                      <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#377\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">377</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                      \u001b]8;id=660393;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=777118;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#377\u001b\\\u001b[2m377\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>running solver                                          <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#386\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">386</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mrunning solver                                          \u001b]8;id=604342;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=872737;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#386\u001b\\\u001b[2m386\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
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    },
    {
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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\"><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   <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#387\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">387</span></a>\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   <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>web UI. Terminating the Python script will not stop the <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>job running on the cloud.                               <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mTo cancel the simulation, use \u001b[32m'web.abort\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or   \u001b]8;id=13159;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=802504;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#387\u001b\\\u001b[2m387\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b[32m'web.delete\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or abort/delete the task in the   \u001b[2m             \u001b[0m\n",
       "\u001b[2;36m           \u001b[0mweb UI. Terminating the Python script will not stop the \u001b[2m             \u001b[0m\n",
       "\u001b[2;36m           \u001b[0mjob running on the cloud.                               \u001b[2m             \u001b[0m\n"
      ]
     },
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    },
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       "Output()"
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       "<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\">[14:02:25] </span>early shutoff detected, exiting.                        <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#404\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">404</span></a>\n",
       "</pre>\n"
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       "\u001b[2;36m[14:02:25]\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected, exiting.                        \u001b]8;id=224300;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=33965;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#404\u001b\\\u001b[2m404\u001b[0m\u001b]8;;\u001b\\\n"
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       "<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>status = postprocess                                    <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#420\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">420</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                    \u001b]8;id=917300;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=521781;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#420\u001b\\\u001b[2m420\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
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       "Output()"
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     },
     "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\">[14:02:32] </span>status = success                                        <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#427\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">427</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:02:32]\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                        \u001b]8;id=690649;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=445852;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#427\u001b\\\u001b[2m427\u001b[0m\u001b]8;;\u001b\\\n"
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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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       "<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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       "model_id": "71cca236bca04270a16e386859bd1bbe",
       "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\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\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\">[14:02:34] </span>loading SimulationData from data/simulation_data.hdf5   <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#591\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">591</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:02:34]\u001b[0m\u001b[2;36m \u001b[0mloading SimulationData from data/simulation_data.hdf5   \u001b]8;id=313887;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=246914;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#591\u001b\\\u001b[2m591\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_data_tm = job_tm.run(path=\"data/simulation_data.hdf5\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1eb4bc32",
   "metadata": {},
   "source": [
    "## TM Result Visualization"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7c040e83",
   "metadata": {},
   "source": [
    "After the simulation is complete, we first plot the field distribution. From the field distribution, we observe an efficient coupling from the inner bend to the outer bend."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "9b6c96b2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_data_tm.plot_field(\n",
    "    field_monitor_name=\"field\", field_name=\"E\", val=\"abs\", f=freq0, vmin=0, vmax=70\n",
    ")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1ec2ad77",
   "metadata": {},
   "source": [
    "More quantitatively, we plot the mode conversion efficiencies. Indeed, a high TM to TE mode conversion at the cross port is observed as desired. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "6aab55e2",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def plot_conversion_efficiency(sim_data, pol):\n",
    "    # extract the transmission data from the mode monitor\n",
    "    T_cross_te = np.abs(sim_data[\"cross\"].amps.sel(mode_index=0, direction=\"+\")) ** 2\n",
    "    T_cross_tm = np.abs(sim_data[\"cross\"].amps.sel(mode_index=1, direction=\"+\")) ** 2\n",
    "\n",
    "    T_through_te = np.abs(sim_data[\"through\"].amps.sel(mode_index=0, direction=\"+\")) ** 2\n",
    "    T_through_tm = np.abs(sim_data[\"through\"].amps.sel(mode_index=1, direction=\"+\")) ** 2\n",
    "\n",
    "    # plot transmission\n",
    "    plt.plot(ldas, 10 * np.log10(T_cross_te), linewidth=3, label=f\"{pol}->TE (cross)\")\n",
    "    plt.plot(ldas, 10 * np.log10(T_cross_tm), linewidth=3, label=f\"{pol}->TM (cross)\")\n",
    "    plt.plot(\n",
    "        ldas, 10 * np.log10(T_through_te), linewidth=3, linestyle=\"--\", label=f\"{pol}->TE (through)\"\n",
    "    )\n",
    "    plt.plot(\n",
    "        ldas, 10 * np.log10(T_through_tm), linewidth=3, linestyle=\"--\", label=f\"{pol}->TM (through)\"\n",
    "    )\n",
    "    plt.legend()\n",
    "    plt.xlabel(\"Wavelength ($\\mu m$)\")\n",
    "    plt.ylabel(\"Mode conversion efficiency (dB)\")\n",
    "    plt.title(f\"Mode conversion efficiency for {pol} mode\")\n",
    "    plt.show()\n",
    "\n",
    "\n",
    "plot_conversion_efficiency(sim_data_tm, \"TM\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "df6c9537",
   "metadata": {},
   "source": [
    "## Running the TE Simulation"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7ad774d8",
   "metadata": {},
   "source": [
    "Now that we have confirmed the TM to TE polarization rotation of the device, we need to confirm the TE-TE conversion at the through port. The TE mode at the inner waveguide will not couple to the outer waveguide due to the phase matching condition is not met as shown above. \n",
    "\n",
    "To run the TE simulation, we only need to update the `mode_index` from `1` to `0` in the [ModeSource](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ModeSource.html)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "12ae16ea",
   "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\">[14:02:36] </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'psr_te'</span> with task_id                      <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#188\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">188</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-f26a6f24-39f2-4030-aff4-761642d2736fv1'</span>.          <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:02:36]\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'psr_te'\u001b[0m with task_id                      \u001b]8;id=284332;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=655723;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#188\u001b\\\u001b[2m188\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b[32m'fdve-f26a6f24-39f2-4030-aff4-761642d2736fv1'\u001b[0m.          \u001b[2m             \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
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    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>View task using web UI at                               <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#190\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">190</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-f26a6f24-39f2-4030-aff4-761642d2736fv1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-</span></a> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-f26a6f24-39f2-4030-aff4-761642d2736fv1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">f26a6f24-39f2-4030-aff4-761642d2736fv1'</span></a>.                <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                               \u001b]8;id=37869;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=69877;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#190\u001b\\\u001b[2m190\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=29957;https://tidy3d.simulation.cloud/workbench?taskId=fdve-f26a6f24-39f2-4030-aff4-761642d2736fv1\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=965163;https://tidy3d.simulation.cloud/workbench?taskId=fdve-f26a6f24-39f2-4030-aff4-761642d2736fv1\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=29957;https://tidy3d.simulation.cloud/workbench?taskId=fdve-f26a6f24-39f2-4030-aff4-761642d2736fv1\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=619964;https://tidy3d.simulation.cloud/workbench?taskId=fdve-f26a6f24-39f2-4030-aff4-761642d2736fv1\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=29957;https://tidy3d.simulation.cloud/workbench?taskId=fdve-f26a6f24-39f2-4030-aff4-761642d2736fv1\u001b\\\u001b[32m-\u001b[0m\u001b]8;;\u001b\\ \u001b[2m             \u001b[0m\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=29957;https://tidy3d.simulation.cloud/workbench?taskId=fdve-f26a6f24-39f2-4030-aff4-761642d2736fv1\u001b\\\u001b[32mf26a6f24-39f2-4030-aff4-761642d2736fv1'\u001b[0m\u001b]8;;\u001b\\.                \u001b[2m             \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
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       "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\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\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\">[14:02:38] </span>status = queued                                         <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#361\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">361</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:02:38]\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                         \u001b]8;id=963893;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=743699;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#361\u001b\\\u001b[2m361\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
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    },
    {
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       "model_id": "",
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       "version_minor": 0
      },
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       "Output()"
      ]
     },
     "metadata": {},
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    },
    {
     "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\">[14:02:42] </span>status = preprocess                                     <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#355\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">355</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:02:42]\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess                                     \u001b]8;id=371318;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=422325;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#355\u001b\\\u001b[2m355\u001b[0m\u001b]8;;\u001b\\\n"
      ]
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    },
    {
     "data": {
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       "<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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     },
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    },
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       "<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\">[14:02:46] </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1.085</span>. Use                     <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#341\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">341</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed FlexCredit   <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>cost after a simulation run.                            <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:02:46]\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m1.085\u001b[0m. Use                     \u001b]8;id=101280;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=582108;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#341\u001b\\\u001b[2m341\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed FlexCredit   \u001b[2m             \u001b[0m\n",
       "\u001b[2;36m           \u001b[0mcost after a simulation run.                            \u001b[2m             \u001b[0m\n"
      ]
     },
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       "<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>starting up solver                                      <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#377\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">377</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                      \u001b]8;id=606161;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=911910;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#377\u001b\\\u001b[2m377\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
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    },
    {
     "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                                          <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#386\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">386</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mrunning solver                                          \u001b]8;id=339945;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=506308;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#386\u001b\\\u001b[2m386\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
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    },
    {
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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\"><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   <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#387\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">387</span></a>\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   <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>web UI. Terminating the Python script will not stop the <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>job running on the cloud.                               <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mTo cancel the simulation, use \u001b[32m'web.abort\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or   \u001b]8;id=854595;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=665259;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#387\u001b\\\u001b[2m387\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b[32m'web.delete\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or abort/delete the task in the   \u001b[2m             \u001b[0m\n",
       "\u001b[2;36m           \u001b[0mweb UI. Terminating the Python script will not stop the \u001b[2m             \u001b[0m\n",
       "\u001b[2;36m           \u001b[0mjob running on the cloud.                               \u001b[2m             \u001b[0m\n"
      ]
     },
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    },
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       "Output()"
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    },
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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\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[14:04:26] </span>early shutoff detected, exiting.                        <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#404\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">404</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:04:26]\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected, exiting.                        \u001b]8;id=506908;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=425656;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#404\u001b\\\u001b[2m404\u001b[0m\u001b]8;;\u001b\\\n"
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       "<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\">[14:04:27] </span>status = postprocess                                    <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#420\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">420</span></a>\n",
       "</pre>\n"
      ],
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       "\u001b[2;36m[14:04:27]\u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                    \u001b]8;id=116717;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=87952;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#420\u001b\\\u001b[2m420\u001b[0m\u001b]8;;\u001b\\\n"
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       "<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\">[14:04:33] </span>status = success                                        <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#427\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">427</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:04:33]\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                        \u001b]8;id=345856;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=364851;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#427\u001b\\\u001b[2m427\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\"></pre>\n"
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      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
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    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "7ae68def39084dce87ebbf986fb6e11f",
       "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\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\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\">[14:04:44] </span>loading SimulationData from data/simulation_data.hdf5   <a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#591\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">591</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[14:04:44]\u001b[0m\u001b[2;36m \u001b[0mloading SimulationData from data/simulation_data.hdf5   \u001b]8;id=574126;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=575697;file://C:\\Users\\xinzhong\\anaconda3\\envs\\tidy3d_jax\\lib\\site-packages\\tidy3d\\web\\webapi.py#591\u001b\\\u001b[2m591\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mode_source = mode_source.copy(update={\"mode_index\": 0})\n",
    "sim_te = sim_tm.copy(update={\"sources\": [mode_source]})\n",
    "sim_data_te = web.run(simulation=sim_te, task_name=\"psr_te\", path=\"data/simulation_data.hdf5\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2bb0d346",
   "metadata": {},
   "source": [
    "## TE Result Visualization"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2c2a2b84",
   "metadata": {},
   "source": [
    "Field distribution shows minimal coupling to the outer waveguide."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "0e35adb6",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_data_te.plot_field(\n",
    "    field_monitor_name=\"field\", field_name=\"E\", val=\"abs\", f=freq0, vmin=0, vmax=70\n",
    ")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "74c64ac0",
   "metadata": {},
   "source": [
    "As expected, the input TE mode stays at the inner waveguide as TE polarization. Both simulations confirm the good performance of the PSR design."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "8bfc483e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_conversion_efficiency(sim_data_te, \"TE\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a6867ae6",
   "metadata": {},
   "source": [
    " > For more integrated photonic examples such as the [8-Channel mode and polarization de-multiplexer](https://www.flexcompute.com/tidy3d/examples/notebooks/8ChannelDemultiplexer/), the [broadband bi-level taper polarization rotator-splitter](https://www.flexcompute.com/tidy3d/examples/notebooks/BilevelPSR/), and the [broadband directional coupler](https://www.flexcompute.com/tidy3d/examples/notebooks/BroadbandDirectionalCoupler/), please visit our [examples page](https://www.flexcompute.com/tidy3d/examples/). If you are new to the finite-difference time-domain (FDTD) method, we highly recommend going through our [FDTD101](https://www.flexcompute.com/fdtd101/) tutorials. FDTD simulations can diverge due to various reasons. If you run into any simulation divergence issues, please follow the steps outlined in our [troubleshooting guide](https://www.flexcompute.com/tidy3d/examples/notebooks/DivergedFDTDSimulation/) to resolve it. "
   ]
  }
 ],
 "metadata": {
  "applications": [
   "Passive photonic integrated circuit components"
  ],
  "description": "This notebook demonstrates how to model a PSR based on 90 degree bends in Tidy3D FDTD.",
  "feature_image": "./img/90_bend_PSR_1.png",
  "features": [
   "GDS component",
   "Mode analysis"
  ],
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "keywords": "silicon photonics, PIC, integrated photonics, PSR, 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": "3.9.12"
  },
  "title": "PSR based on 90 degree bends | Flexcompute"
 },
 "nbformat": 4,
 "nbformat_minor": 5
}