{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "87503933",
   "metadata": {},
   "source": [
    "# Compact polarization splitter-rotator"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "cebe8db1",
   "metadata": {},
   "source": [
    "Silicon-on-insulator (SOI) devices are known to be polarization sensitive. Devices that can manipulate the polarization of light are important components of an integrated photonic system. \n",
    "\n",
    "This model demonstrates the design of a compact polarization splitter-rotator that consists of an adiabatic waveguide tapper and an asymmetric directional coupler. When the TM0 mode is launched at the input end, it is efficiently converted into the TE1 mode at the tapper and then coupled to the TE0 mode at the narrow waveguide through the directional coupler. When the TE0 mode is launched at the input end, it propagates through the tapper without polarization change and coupling to the narrow waveguide. That is, the TE and TM polarizations are separated by this device and the output is always TE polarization, as schematically shown below. This model is based on [Daoxin Dai and John E. Bowers, \"Novel concept for ultracompact polarization splitter-rotator based on silicon nanowires,\" Opt. Express 19, 10940-10949 (2011)](https://opg.optica.org/oe/fulltext.cfm?uri=oe-19-11-10940&id=214189).\n",
    "\n",
    "<img src=\"img/polarizer_rotator.png\">"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2de5ac4f",
   "metadata": {},
   "source": [
    "## Simulation Setup "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "d7d7a340",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:31:20.237496Z",
     "iopub.status.busy": "2023-03-27T23:31:20.236847Z",
     "iopub.status.idle": "2023-03-27T23:31:21.593814Z",
     "shell.execute_reply": "2023-03-27T23:31:21.593238Z"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import tidy3d as td\n",
    "import tidy3d.web as web\n",
    "from tidy3d.plugins.mode import ModeSolver\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ee47465c",
   "metadata": {},
   "source": [
    "Define geometric parameters. The device consists of a wide tapered waveguide and a narrow waveguide. They are coupled through a directional coupler."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c7f6dcb8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:31:21.596602Z",
     "iopub.status.busy": "2023-03-27T23:31:21.596339Z",
     "iopub.status.idle": "2023-03-27T23:31:21.618691Z",
     "shell.execute_reply": "2023-03-27T23:31:21.618047Z"
    }
   },
   "outputs": [],
   "source": [
    "w0 = 0.54  # width of the input/output single mode waveguides\n",
    "w1 = 0.69  # width of the first tapper\n",
    "w2 = 0.83  # width of the second tapper\n",
    "w3 = 0.9  # width of the third tapper\n",
    "w4 = 0.405  # width of the narrow waveguide\n",
    "w_gap = 0.15  # gap of the directional coupler\n",
    "L_tp1 = 4  # length of the first tapper\n",
    "L_tp2 = 44  # length of the second tapper\n",
    "L_tp3 = L_tp1 * (w3 - w2) / (w1 - w0)  # length of the third tapper\n",
    "L_dc = 7  # length of the directional coupler\n",
    "L_tpout = 14  # length of the output tapper\n",
    "shift = 0.4  # shift of the narrow waveguide output\n",
    "h_co = 0.22  # thickness of the waveguides\n",
    "inf_eff = 1000  # effective infinity used to make sure the waveguides extend into pml\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a3b96978",
   "metadata": {},
   "source": [
    "Define materials. The waveguides are made of silicon. The upper cladding is silicon nitride and the lower cladding is silicon oxide."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "e896b235",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:31:21.621409Z",
     "iopub.status.busy": "2023-03-27T23:31:21.621216Z",
     "iopub.status.idle": "2023-03-27T23:31:21.641460Z",
     "shell.execute_reply": "2023-03-27T23:31:21.640864Z"
    }
   },
   "outputs": [],
   "source": [
    "si = td.Medium(permittivity=3.455**2)\n",
    "sio2 = td.Medium(permittivity=1.445**2)\n",
    "si3n4 = td.Medium(permittivity=2**2)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5a621fb5",
   "metadata": {},
   "source": [
    "The silicon structures are defined using PolySlabs. The coordinates of the vertices can be determined by the taper widths and lengths."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "9b823f6c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:31:21.643719Z",
     "iopub.status.busy": "2023-03-27T23:31:21.643568Z",
     "iopub.status.idle": "2023-03-27T23:31:21.667731Z",
     "shell.execute_reply": "2023-03-27T23:31:21.666122Z"
    }
   },
   "outputs": [],
   "source": [
    "cladding = td.Structure(\n",
    "    geometry=td.Box.from_bounds(\n",
    "        rmin=(-inf_eff, -inf_eff, -h_co / 2), rmax=(inf_eff, inf_eff, inf_eff)\n",
    "    ),\n",
    "    medium=si3n4,\n",
    ")\n",
    "\n",
    "vertices = np.array(\n",
    "    [\n",
    "        (-w0 / 2, -inf_eff),\n",
    "        (-w0 / 2, 0),\n",
    "        (-w1 / 2, L_tp1),\n",
    "        (-w2 / 2, L_tp1 + L_tp2),\n",
    "        (-w3 / 2, L_tp1 + L_tp2 + L_tp3),\n",
    "        (-w3 / 2, L_tp1 + L_tp2 + L_tp3 + L_dc),\n",
    "        (-w0 / 2, L_tp1 + L_tp2 + L_tp3 + L_dc + L_tpout),\n",
    "        (-w0 / 2, inf_eff),\n",
    "        (w0 / 2, inf_eff),\n",
    "        (w0 / 2, L_tp1 + L_tp2 + L_tp3 + L_dc + L_tpout),\n",
    "        (w3 / 2, L_tp1 + L_tp2 + L_tp3 + L_dc),\n",
    "        (w3 / 2, L_tp1 + L_tp2 + L_tp3),\n",
    "        (w2 / 2, L_tp1 + L_tp2),\n",
    "        (w1 / 2, L_tp1),\n",
    "        (w0 / 2, 0),\n",
    "        (w0 / 2, -inf_eff),\n",
    "    ]\n",
    ")\n",
    "\n",
    "wide_wg = td.Structure(\n",
    "    geometry=td.PolySlab(vertices=vertices, axis=2, slab_bounds=(-h_co / 2, h_co / 2)),\n",
    "    medium=si,\n",
    ")\n",
    "\n",
    "vertices = np.array(\n",
    "    [\n",
    "        (-w3 / 2 - w_gap - w4, L_tp1 + L_tp2 + L_tp3),\n",
    "        (-w3 / 2 - w_gap - w4, L_tp1 + L_tp2 + L_tp3 + L_dc),\n",
    "        (-w3 / 2 - w_gap - w4 - shift, L_tp1 + L_tp2 + L_tp3 + L_dc + L_tpout),\n",
    "        (-w3 / 2 - w_gap - w4 - shift, inf_eff),\n",
    "        (-w3 / 2 - w_gap - shift, inf_eff),\n",
    "        (-w3 / 2 - w_gap - shift, L_tp1 + L_tp2 + L_tp3 + L_dc + L_tpout),\n",
    "        (-w3 / 2 - w_gap, L_tp1 + L_tp2 + L_tp3 + L_dc),\n",
    "        (-w3 / 2 - w_gap, L_tp1 + L_tp2 + L_tp3),\n",
    "    ]\n",
    ")\n",
    "narrow_wg = td.Structure(\n",
    "    geometry=td.PolySlab(vertices=vertices, axis=2, slab_bounds=(-h_co / 2, h_co / 2)),\n",
    "    medium=si,\n",
    ")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f18c9962",
   "metadata": {},
   "source": [
    "Set up a mode source for excitation. First, we launch the TE0 mode with the mode source. Later, we will change the mode source to launch the TM0 mode. \n",
    "\n",
    "Two flux monitors and two mode monitors are set up at the outputs of the wide and narrow waveguides. A field monitor is added to monitor the field at z=0 plane. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "7c0563c3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:31:21.674007Z",
     "iopub.status.busy": "2023-03-27T23:31:21.673596Z",
     "iopub.status.idle": "2023-03-27T23:31:21.961195Z",
     "shell.execute_reply": "2023-03-27T23:31:21.960623Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "lda0 = 1.525  # central wavelength\n",
    "freq0 = td.C_0 / lda0  # central frequency\n",
    "ldas = np.linspace(1.45, 1.6, 101)  # wavelength range\n",
    "freqs = td.C_0 / ldas  # frequency range\n",
    "\n",
    "# buffer lengths in x and y directions\n",
    "buffer_x = 1\n",
    "buffer_y = 2\n",
    "\n",
    "# simulation domain size\n",
    "Lx = w3 + w_gap + w4 + shift + 2 * buffer_x\n",
    "Ly = L_tp1 + L_tp2 + L_tp3 + L_dc + L_tpout + 2 * buffer_y\n",
    "Lz = 10 * h_co\n",
    "sim_size = (Lx, Ly, Lz)\n",
    "\n",
    "# define mode source that launches the TE0 mode (mode_index=0). Later, we will modify it to investigate the TM0 mode case\n",
    "mode_spec = td.ModeSpec(num_modes=2, target_neff=3)\n",
    "mode_source = td.ModeSource(\n",
    "    center=(0, -buffer_y / 2, 0),\n",
    "    size=(3 * w0, 0, 5 * h_co),\n",
    "    source_time=td.GaussianPulse(freq0=freq0, fwidth=freq0 / 10),\n",
    "    direction=\"+\",\n",
    "    mode_spec=mode_spec,\n",
    "    mode_index=0,\n",
    ")\n",
    "\n",
    "# define a field monitor\n",
    "field_monitor = td.FieldMonitor(\n",
    "    center=(0, -buffer_y / 2, 0), size=(td.inf, td.inf, 0), freqs=[freq0], name=\"field\"\n",
    ")\n",
    "\n",
    "# define two flux monitors at the two outputs to measure transmission\n",
    "flux_monitor1 = td.FluxMonitor(\n",
    "    center=(0, Ly - buffer_y, 0), size=(3 * w0, 0, 5 * h_co), freqs=freqs, name=\"flux1\"\n",
    ")\n",
    "\n",
    "flux_monitor2 = td.FluxMonitor(\n",
    "    center=(-w4 / 2 - w3 / 2 - w_gap - shift, Ly - buffer_y, 0),\n",
    "    size=(3 * w0, 0, 5 * h_co),\n",
    "    freqs=freqs,\n",
    "    name=\"flux2\",\n",
    ")\n",
    "\n",
    "# define two mode monitors at the two outputs to study output polarization\n",
    "mode_monitor1 = td.ModeMonitor(\n",
    "    center=(0, Ly - buffer_y, 0),\n",
    "    size=(3 * w0, 0, 5 * h_co),\n",
    "    freqs=freqs,\n",
    "    mode_spec=mode_spec,\n",
    "    name=\"mode1\",\n",
    ")\n",
    "\n",
    "mode_monitor2 = td.ModeMonitor(\n",
    "    center=(-w4 / 2 - w3 / 2 - w_gap - shift, Ly - buffer_y, 0),\n",
    "    size=(3 * w0, 0, 5 * h_co),\n",
    "    freqs=freqs,\n",
    "    mode_spec=mode_spec,\n",
    "    name=\"mode2\",\n",
    ")\n",
    "\n",
    "# initialize the Simulation object\n",
    "sim = td.Simulation(\n",
    "    center=(-(shift + w_gap) / 2, Ly / 2 - buffer_y, 0),\n",
    "    size=sim_size,\n",
    "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lda0),\n",
    "    structures=[cladding, wide_wg, narrow_wg],\n",
    "    sources=[mode_source],\n",
    "    monitors=[\n",
    "        field_monitor,\n",
    "        flux_monitor1,\n",
    "        flux_monitor2,\n",
    "        mode_monitor1,\n",
    "        mode_monitor2,\n",
    "    ],\n",
    "    run_time=2e-12,\n",
    "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n",
    "    medium=sio2,\n",
    ")\n",
    "\n",
    "# plot the simulation at z=0 to inspect the structure, source, and monitors\n",
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "sim.plot(z=0, ax=ax)\n",
    "ax.set_aspect(\"auto\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "10b7f422",
   "metadata": {},
   "source": [
    "Before the simulation, we can visualize the mode fields to ensure we are launching the correct mode at the source."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "4cbba902",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:31:21.963462Z",
     "iopub.status.busy": "2023-03-27T23:31:21.963259Z",
     "iopub.status.idle": "2023-03-27T23:31:22.416584Z",
     "shell.execute_reply": "2023-03-27T23:31:22.415991Z"
    }
   },
   "outputs": [],
   "source": [
    "mode_solver = ModeSolver(\n",
    "    simulation=sim,\n",
    "    plane=td.Box(center=(0, -buffer_y / 2, 0), size=(2 * w0, 0, 5 * h_co)),\n",
    "    mode_spec=mode_spec,\n",
    "    freqs=[freq0],\n",
    ")\n",
    "mode_data = mode_solver.solve()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "64e8829f",
   "metadata": {},
   "source": [
    "As expected, the first mode (mode_index=0) is the TE0 mode."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "0dbf9e4e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:31:22.419135Z",
     "iopub.status.busy": "2023-03-27T23:31:22.418950Z",
     "iopub.status.idle": "2023-03-27T23:31:22.964295Z",
     "shell.execute_reply": "2023-03-27T23:31:22.963800Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x300 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, (ax1, ax2, ax3) = plt.subplots(1, 3, tight_layout=True, figsize=(10, 3))\n",
    "abs(mode_data.Ex.isel(mode_index=0)).plot(x=\"x\", y=\"z\", ax=ax1, cmap=\"magma\")\n",
    "abs(mode_data.Ey.isel(mode_index=0)).plot(x=\"x\", y=\"z\", ax=ax2, cmap=\"magma\")\n",
    "abs(mode_data.Ez.isel(mode_index=0)).plot(x=\"x\", y=\"z\", ax=ax3, cmap=\"magma\")\n",
    "\n",
    "ax1.set_title(\"|Ex(x, y)|\")\n",
    "ax2.set_title(\"|Ey(x, y)|\")\n",
    "ax3.set_title(\"|Ez(x, y)|\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "750b312f",
   "metadata": {},
   "source": [
    "The second mode (mode_index=1) is the TM0 mode."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "9ce3d068",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:31:22.966252Z",
     "iopub.status.busy": "2023-03-27T23:31:22.966110Z",
     "iopub.status.idle": "2023-03-27T23:31:23.570444Z",
     "shell.execute_reply": "2023-03-27T23:31:23.569949Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x300 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, (ax1, ax2, ax3) = plt.subplots(1, 3, tight_layout=True, figsize=(10, 3))\n",
    "abs(mode_data.Hx.isel(mode_index=1)).plot(x=\"x\", y=\"z\", ax=ax1, cmap=\"magma\")\n",
    "abs(mode_data.Hy.isel(mode_index=1)).plot(x=\"x\", y=\"z\", ax=ax2, cmap=\"magma\")\n",
    "abs(mode_data.Hz.isel(mode_index=1)).plot(x=\"x\", y=\"z\", ax=ax3, cmap=\"magma\")\n",
    "\n",
    "ax1.set_title(\"|Hx(x, y)|\")\n",
    "ax2.set_title(\"|Hy(x, y)|\")\n",
    "ax3.set_title(\"|Hz(x, y)|\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a289f55c",
   "metadata": {},
   "source": [
    "After making sure the simulation setups and mode profiles are correct, submit the simulation to the server."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "f7326c62",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:31:23.572503Z",
     "iopub.status.busy": "2023-03-27T23:31:23.572359Z",
     "iopub.status.idle": "2023-03-27T23:36:10.092306Z",
     "shell.execute_reply": "2023-03-27T23:36:10.090624Z"
    }
   },
   "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\">[12:36:13] </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'polarization_splitter_rotator'</span> with task_id                                  <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\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\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#139\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">139</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-c357e1ab-fd64-4e59-a1d0-54845e128cf0v1'</span>.                                             <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[12:36:13]\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'polarization_splitter_rotator'\u001b[0m with task_id                                  \u001b]8;id=940605;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=445011;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#139\u001b\\\u001b[2m139\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b[32m'fdve-c357e1ab-fd64-4e59-a1d0-54845e128cf0v1'\u001b[0m.                                             \u001b[2m             \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f2431fe8f48649b2a3a297df6a24bf0a",
       "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\">[12:36:15] </span>status = queued                                                                            <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\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\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#269\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">269</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[12:36:15]\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                                            \u001b]8;id=275531;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=517939;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#269\u001b\\\u001b[2m269\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\">[12:36:20] </span>status = preprocess                                                                        <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\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\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#263\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">263</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[12:36:20]\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess                                                                        \u001b]8;id=615412;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=640495;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#263\u001b\\\u001b[2m263\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\">[12:36:25] </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.692</span>. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed FlexCredit cost <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\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\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#286\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">286</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>after a simulation run.                                                                    <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[12:36:25]\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.692\u001b[0m. Use \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 cost \u001b]8;id=463831;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=944015;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#286\u001b\\\u001b[2m286\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0mafter 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\\Desktop\\tidy3d\\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\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#290\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">290</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                                                         \u001b]8;id=824126;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=523729;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#290\u001b\\\u001b[2m290\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\\Desktop\\tidy3d\\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\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#300\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">300</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                                             \u001b]8;id=802101;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=229092;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#300\u001b\\\u001b[2m300\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "02640d23f4b64625bc15bc93f0c343eb",
       "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\">[12:40:45] </span>early shutoff detected, exiting.                                                           <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\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\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#313\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">313</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[12:40:45]\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected, exiting.                                                           \u001b]8;id=288286;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=414921;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#313\u001b\\\u001b[2m313\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\">\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\">           </span>status = postprocess                                                                       <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\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\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#330\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">330</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                                                       \u001b]8;id=810238;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=724367;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#330\u001b\\\u001b[2m330\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\">[12:41:11] </span>status = success                                                                           <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\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\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#337\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">337</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[12:41:11]\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                                           \u001b]8;id=915322;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=348242;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#337\u001b\\\u001b[2m337\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": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "5c9bb659cbd149adb6337ab06e04bf2b",
       "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\">[12:41:14] </span>loading SimulationData from data/simulation_data.hdf5                                      <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\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\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#512\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">512</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[12:41:14]\u001b[0m\u001b[2;36m \u001b[0mloading SimulationData from data/simulation_data.hdf5                                      \u001b]8;id=175956;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=384805;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#512\u001b\\\u001b[2m512\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "job = web.Job(simulation=sim, task_name=\"polarization_splitter_rotator\", verbose=True)\n",
    "sim_data = job.run(path=\"data/simulation_data.hdf5\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "35e4c152",
   "metadata": {},
   "source": [
    "## Case 1: Launching the TE0 Mode at the Input"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "56e92d80",
   "metadata": {},
   "source": [
    "Visualize the field intensity distribution to see the propagation of the input TE0 mode. We can see that it propagates through the wide waveguide with no coupling to the narrow waveguide. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "26074a9d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:36:14.235554Z",
     "iopub.status.busy": "2023-03-27T23:36:14.235283Z",
     "iopub.status.idle": "2023-03-27T23:36:17.428161Z",
     "shell.execute_reply": "2023-03-27T23:36:17.427578Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "sim_data.plot_field(\n",
    "    field_monitor_name=\"field\", field_name=\"E\", val=\"abs^2\", ax=ax, f=freq0\n",
    ")\n",
    "ax.set_aspect(\"auto\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d7e70b6f",
   "metadata": {},
   "source": [
    "Plot the transmission at the two outputs. The transmission through the wide waveguide is nearly 100% with very little coupling to the narrow waveguide. \n",
    "\n",
    "Then plot the mode composition at the wide waveguide output. We can see that the TE polarization is preserved with no conversion to TM. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "281c6a99",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:36:17.430868Z",
     "iopub.status.busy": "2023-03-27T23:36:17.430676Z",
     "iopub.status.idle": "2023-03-27T23:36:17.856570Z",
     "shell.execute_reply": "2023-03-27T23:36:17.856010Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, (ax1, ax2) = plt.subplots(1, 2, tight_layout=True, figsize=(10, 5))\n",
    "T1 = sim_data[\"flux1\"].flux\n",
    "T2 = sim_data[\"flux2\"].flux\n",
    "\n",
    "plt.sca(ax1)\n",
    "plt.plot(ldas, T1, ldas, T2)\n",
    "plt.xlim(1.5, 1.6)\n",
    "plt.xlabel(\"Wavelength ($\\mu m$)\")\n",
    "plt.ylabel(\"Transmission\")\n",
    "plt.legend((\"Wide waveguide\", \"Narrow waveguide\"))\n",
    "\n",
    "plt.sca(ax2)\n",
    "mode_amp = sim_data[\"mode1\"].amps.sel(direction=\"+\")\n",
    "mode_power = np.abs(mode_amp) ** 2 / T1\n",
    "plt.plot(ldas, mode_power)\n",
    "plt.xlim(1.5, 1.6)\n",
    "plt.xlabel(\"Wavelength ($\\mu m$)\")\n",
    "plt.ylabel(\"Power share at Port1 (%)\")\n",
    "plt.legend([\"TE0\", \"TM0\"])\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b024888d",
   "metadata": {},
   "source": [
    "## Case 2: Launching the TM0 Mode at the Input"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "803ef159",
   "metadata": {},
   "source": [
    "Next, we investigate the case where the TM0 mode is launched at the input. To set up the simulation, we simply need to copy the previous simulation and update the mode source."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "609f5c86",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:36:17.859276Z",
     "iopub.status.busy": "2023-03-27T23:36:17.859092Z",
     "iopub.status.idle": "2023-03-27T23:41:33.380436Z",
     "shell.execute_reply": "2023-03-27T23:41:33.379850Z"
    }
   },
   "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\">[12:41:18] </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'polarization_splitter_rotator'</span> with task_id                                  <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\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\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#139\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">139</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-23913065-4df6-49ee-adf3-4717f05afecfv1'</span>.                                             <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[12:41:18]\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'polarization_splitter_rotator'\u001b[0m with task_id                                  \u001b]8;id=152355;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=68243;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#139\u001b\\\u001b[2m139\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b[32m'fdve-23913065-4df6-49ee-adf3-4717f05afecfv1'\u001b[0m.                                             \u001b[2m             \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "623ab45cc28540ba8b0ce9e39b9a3bd2",
       "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\">[12:41:23] </span>status = queued                                                                            <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\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\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#269\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">269</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[12:41:23]\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                                            \u001b]8;id=275552;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=860285;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#269\u001b\\\u001b[2m269\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\">[12:41:28] </span>status = preprocess                                                                        <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\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\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#263\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">263</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[12:41:28]\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess                                                                        \u001b]8;id=82446;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=734814;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#263\u001b\\\u001b[2m263\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\">[12:41:33] </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.692</span>. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed FlexCredit cost <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\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\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#286\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">286</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>after a simulation run.                                                                    <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[12:41:33]\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.692\u001b[0m. Use \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 cost \u001b]8;id=492670;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=57103;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#286\u001b\\\u001b[2m286\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0mafter 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\\Desktop\\tidy3d\\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\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#290\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">290</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                                                         \u001b]8;id=736932;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=817746;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#290\u001b\\\u001b[2m290\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\\Desktop\\tidy3d\\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\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#300\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">300</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                                             \u001b]8;id=778618;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=320279;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#300\u001b\\\u001b[2m300\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "4d96261aa8dd458b8dac0048554d2a08",
       "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\">[12:46:07] </span>early shutoff detected, exiting.                                                           <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\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\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#313\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">313</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[12:46:07]\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected, exiting.                                                           \u001b]8;id=443351;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=449947;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#313\u001b\\\u001b[2m313\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\">\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\">           </span>status = postprocess                                                                       <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\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\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#330\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">330</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                                                       \u001b]8;id=146536;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=164773;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#330\u001b\\\u001b[2m330\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\">[12:46:32] </span>status = success                                                                           <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\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\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#337\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">337</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[12:46:32]\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                                           \u001b]8;id=640552;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=362446;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#337\u001b\\\u001b[2m337\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": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "3d5e12719390436fb40910771dcaa83b",
       "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\">[12:46:35] </span>loading SimulationData from data/simulation_data.hdf5                                      <a href=\"file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\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\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#512\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">512</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[12:46:35]\u001b[0m\u001b[2;36m \u001b[0mloading SimulationData from data/simulation_data.hdf5                                      \u001b]8;id=221519;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=178214;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#512\u001b\\\u001b[2m512\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mode_source = td.ModeSource(\n",
    "    center=(0, -buffer_y / 2, 0),\n",
    "    size=(2 * w0, 0, 5 * h_co),\n",
    "    source_time=td.GaussianPulse(freq0=freq0, fwidth=freq0 / 10),\n",
    "    direction=\"+\",\n",
    "    mode_spec=mode_spec,\n",
    "    mode_index=1,\n",
    ")  # mode_index=1 corresponds to the TM0 mode\n",
    "\n",
    "sim = sim.copy(update={\"sources\": [mode_source]})\n",
    "job = web.Job(simulation=sim, task_name=\"polarization_splitter_rotator\", verbose=True)\n",
    "sim_data = job.run(path=\"data/simulation_data.hdf5\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2129fe78",
   "metadata": {},
   "source": [
    "Visualize the field intensity distribution to see the propagation of the input TM0 mode. We can see that the TM0 mode is efficiently converted to the TE1 mode and then coupled to the narrow waveguide through the directional coupler region. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "e7d2839d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:41:38.336194Z",
     "iopub.status.busy": "2023-03-27T23:41:38.336057Z",
     "iopub.status.idle": "2023-03-27T23:41:41.648991Z",
     "shell.execute_reply": "2023-03-27T23:41:41.648456Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(111)\n",
    "sim_data.plot_field(\n",
    "    field_monitor_name=\"field\", field_name=\"E\", val=\"abs^2\", ax=ax, f=freq0\n",
    ")\n",
    "ax.set_aspect(\"auto\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3e8c6f18",
   "metadata": {},
   "source": [
    "Plot the transmission at the two outputs. At the central wavelength, above 90% of the power is coupled to the narrow waveguide.\n",
    "\n",
    "Then plot the mode composition at the narrow waveguide output. We can see that the TE polarization is dominant, indicating a good TM to TE mode conversion efficiency."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "b1dd0a40",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T23:41:41.651486Z",
     "iopub.status.busy": "2023-03-27T23:41:41.651298Z",
     "iopub.status.idle": "2023-03-27T23:41:42.021965Z",
     "shell.execute_reply": "2023-03-27T23:41:42.021497Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, (ax1, ax2) = plt.subplots(1, 2, tight_layout=True, figsize=(10, 5))\n",
    "T1 = sim_data[\"flux1\"].flux\n",
    "T2 = sim_data[\"flux2\"].flux\n",
    "\n",
    "plt.sca(ax1)\n",
    "plt.plot(ldas, T1, ldas, T2)\n",
    "plt.xlim(1.45, 1.6)\n",
    "plt.xlabel(\"Wavelength ($\\mu m$)\")\n",
    "plt.ylabel(\"Transmission\")\n",
    "plt.legend((\"Wide waveguide\", \"Narrow waveguide\"))\n",
    "\n",
    "plt.sca(ax2)\n",
    "mode_amp = sim_data[\"mode2\"].amps.sel(direction=\"+\")\n",
    "mode_power = np.abs(mode_amp) ** 2 / T2\n",
    "plt.plot(ldas, mode_power)\n",
    "plt.xlim(1.45, 1.6)\n",
    "plt.xlabel(\"Wavelength ($\\mu m$)\")\n",
    "plt.ylabel(\"Power share at Port1 (%)\")\n",
    "plt.legend([\"TE0\", \"TM0\"])\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7d9e93c9",
   "metadata": {},
   "source": [
    "Simulation results from the two cases confirm that we can use this device to separate the TE and TM polarizations as well as convert the TM polarization to TE."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "bdfb1458",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {
     "06c8331cd3b940db8a37b2b8605896a8": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "_dom_classes": [],
       "_model_module": "@jupyter-widgets/output",
       "_model_module_version": "1.0.0",
       "_model_name": "OutputModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/output",
       "_view_module_version": "1.0.0",
       "_view_name": "OutputView",
       "layout": "IPY_MODEL_085f05859d5d4308aa0dcf8cb3935246",
       "msg_id": "",
       "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: #008000; text-decoration-color: #008000\">\ud83c\udfc3 </span> <span style=\"color: #008000; text-decoration-color: #008000; font-weight: bold\">Finishing 'polarization_splitter_rotator'...</span>\n</pre>\n",
          "text/plain": "\u001b[32m\ud83c\udfc3 \u001b[0m \u001b[1;32mFinishing 'polarization_splitter_rotator'...\u001b[0m\n"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "07ff5630b6c44d65ae53caa4924ee3be": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "_dom_classes": [],
       "_model_module": "@jupyter-widgets/output",
       "_model_module_version": "1.0.0",
       "_model_name": "OutputModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/output",
       "_view_module_version": "1.0.0",
       "_view_name": "OutputView",
       "layout": "IPY_MODEL_3b7107442a384894979a3e57379874df",
       "msg_id": "",
       "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: #008000; text-decoration-color: #008000\">\ud83d\udeb6 </span> <span style=\"color: #008000; text-decoration-color: #008000; font-weight: bold\">Finishing 'polarization_splitter_rotator'...</span>\n</pre>\n",
          "text/plain": "\u001b[32m\ud83d\udeb6 \u001b[0m \u001b[1;32mFinishing 'polarization_splitter_rotator'...\u001b[0m\n"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "085f05859d5d4308aa0dcf8cb3935246": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "_model_module": "@jupyter-widgets/base",
       "_model_module_version": "1.2.0",
       "_model_name": "LayoutModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/base",
       "_view_module_version": "1.2.0",
       "_view_name": "LayoutView",
       "align_content": null,
       "align_items": null,
       "align_self": null,
       "border": null,
       "bottom": null,
       "display": null,
       "flex": null,
       "flex_flow": null,
       "grid_area": null,
       "grid_auto_columns": null,
       "grid_auto_flow": null,
       "grid_auto_rows": null,
       "grid_column": null,
       "grid_gap": null,
       "grid_row": null,
       "grid_template_areas": null,
       "grid_template_columns": null,
       "grid_template_rows": null,
       "height": null,
       "justify_content": null,
       "justify_items": null,
       "left": null,
       "margin": null,
       "max_height": null,
       "max_width": null,
       "min_height": null,
       "min_width": null,
       "object_fit": null,
       "object_position": null,
       "order": null,
       "overflow": null,
       "overflow_x": null,
       "overflow_y": null,
       "padding": null,
       "right": null,
       "top": null,
       "visibility": null,
       "width": null
      }
     },
     "089a7ae657cc4bf2b14cafdf631a521f": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "_dom_classes": [],
       "_model_module": "@jupyter-widgets/output",
       "_model_module_version": "1.0.0",
       "_model_name": "OutputModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/output",
       "_view_module_version": "1.0.0",
       "_view_name": "OutputView",
       "layout": "IPY_MODEL_e4a57c3e11bd4c218c69d7f7ab892f3c",
       "msg_id": "",
       "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: #008000; text-decoration-color: #008000\">\ud83c\udfc3 </span> <span style=\"color: #008000; text-decoration-color: #008000; font-weight: bold\">Starting 'polarization_splitter_rotator'...</span>\n</pre>\n",
          "text/plain": "\u001b[32m\ud83c\udfc3 \u001b[0m \u001b[1;32mStarting 'polarization_splitter_rotator'...\u001b[0m\n"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "1d8e87fc61684a50931e717d86ffb3e7": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "_dom_classes": [],
       "_model_module": "@jupyter-widgets/output",
       "_model_module_version": "1.0.0",
       "_model_name": "OutputModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/output",
       "_view_module_version": "1.0.0",
       "_view_name": "OutputView",
       "layout": "IPY_MODEL_a4b58675e987474cafd2b223fb148a87",
       "msg_id": "",
       "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: #800000; text-decoration-color: #800000; font-weight: bold\">\u2191</span> <span style=\"color: #000080; text-decoration-color: #000080; font-weight: bold\">simulation.json</span> <span style=\"color: #729c1f; text-decoration-color: #729c1f\">\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501</span> <span style=\"color: #800080; text-decoration-color: #800080\">100.0%</span> \u2022 <span style=\"color: #008000; text-decoration-color: #008000\">14.2/14.2 kB</span> \u2022 <span style=\"color: #800000; text-decoration-color: #800000\">?</span> \u2022 <span style=\"color: #008080; text-decoration-color: #008080\">0:00:00</span>\n</pre>\n",
          "text/plain": "\u001b[1;31m\u2191\u001b[0m \u001b[1;34msimulation.json\u001b[0m \u001b[38;2;114;156;31m\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u001b[0m \u001b[35m100.0%\u001b[0m \u2022 \u001b[32m14.2/14.2 kB\u001b[0m \u2022 \u001b[31m?\u001b[0m \u2022 \u001b[36m0:00:00\u001b[0m\n"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "2574dbc8f7aa42d5bf527a0e0b2e28a1": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "_model_module": "@jupyter-widgets/base",
       "_model_module_version": "1.2.0",
       "_model_name": "LayoutModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/base",
       "_view_module_version": "1.2.0",
       "_view_name": "LayoutView",
       "align_content": null,
       "align_items": null,
       "align_self": null,
       "border": null,
       "bottom": null,
       "display": null,
       "flex": null,
       "flex_flow": null,
       "grid_area": null,
       "grid_auto_columns": null,
       "grid_auto_flow": null,
       "grid_auto_rows": null,
       "grid_column": null,
       "grid_gap": null,
       "grid_row": null,
       "grid_template_areas": null,
       "grid_template_columns": null,
       "grid_template_rows": null,
       "height": null,
       "justify_content": null,
       "justify_items": null,
       "left": null,
       "margin": null,
       "max_height": null,
       "max_width": null,
       "min_height": null,
       "min_width": null,
       "object_fit": null,
       "object_position": null,
       "order": null,
       "overflow": null,
       "overflow_x": null,
       "overflow_y": null,
       "padding": null,
       "right": null,
       "top": null,
       "visibility": null,
       "width": null
      }
     },
     "3b7107442a384894979a3e57379874df": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "_model_module": "@jupyter-widgets/base",
       "_model_module_version": "1.2.0",
       "_model_name": "LayoutModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/base",
       "_view_module_version": "1.2.0",
       "_view_name": "LayoutView",
       "align_content": null,
       "align_items": null,
       "align_self": null,
       "border": null,
       "bottom": null,
       "display": null,
       "flex": null,
       "flex_flow": null,
       "grid_area": null,
       "grid_auto_columns": null,
       "grid_auto_flow": null,
       "grid_auto_rows": null,
       "grid_column": null,
       "grid_gap": null,
       "grid_row": null,
       "grid_template_areas": null,
       "grid_template_columns": null,
       "grid_template_rows": null,
       "height": null,
       "justify_content": null,
       "justify_items": null,
       "left": null,
       "margin": null,
       "max_height": null,
       "max_width": null,
       "min_height": null,
       "min_width": null,
       "object_fit": null,
       "object_position": null,
       "order": null,
       "overflow": null,
       "overflow_x": null,
       "overflow_y": null,
       "padding": null,
       "right": null,
       "top": null,
       "visibility": null,
       "width": null
      }
     },
     "4a632534bd5b41249232764965c06d7d": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "_dom_classes": [],
       "_model_module": "@jupyter-widgets/output",
       "_model_module_version": "1.0.0",
       "_model_name": "OutputModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/output",
       "_view_module_version": "1.0.0",
       "_view_name": "OutputView",
       "layout": "IPY_MODEL_9ee3e61d69484239944c28df3caf21fc",
       "msg_id": "",
       "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: #008000; text-decoration-color: #008000; font-weight: bold\">\u2193</span> <span style=\"color: #000080; text-decoration-color: #000080; font-weight: bold\">monitor_data.hdf5</span> <span style=\"color: #729c1f; text-decoration-color: #729c1f\">\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501</span> <span style=\"color: #800080; text-decoration-color: #800080\">100.0%</span> \u2022 <span style=\"color: #008000; text-decoration-color: #008000\">27.5/27.5 MB</span> \u2022 <span style=\"color: #800000; text-decoration-color: #800000\">25.2 MB/s</span> \u2022 <span style=\"color: #008080; text-decoration-color: #008080\">0:00:00</span>\n</pre>\n",
          "text/plain": "\u001b[1;32m\u2193\u001b[0m \u001b[1;34mmonitor_data.hdf5\u001b[0m \u001b[38;2;114;156;31m\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u001b[0m \u001b[35m100.0%\u001b[0m \u2022 \u001b[32m27.5/27.5 MB\u001b[0m \u2022 \u001b[31m25.2 MB/s\u001b[0m \u2022 \u001b[36m0:00:00\u001b[0m\n"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "4c4bef5d1866410884cf64ba260f227b": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "_dom_classes": [],
       "_model_module": "@jupyter-widgets/output",
       "_model_module_version": "1.0.0",
       "_model_name": "OutputModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/output",
       "_view_module_version": "1.0.0",
       "_view_name": "OutputView",
       "layout": "IPY_MODEL_4e4d900437294cf7b137a559a25b7683",
       "msg_id": "",
       "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: #008000; text-decoration-color: #008000\">\ud83d\udeb6 </span> <span style=\"color: #008000; text-decoration-color: #008000; font-weight: bold\">Starting 'polarization_splitter_rotator'...</span>\n</pre>\n",
          "text/plain": "\u001b[32m\ud83d\udeb6 \u001b[0m \u001b[1;32mStarting 'polarization_splitter_rotator'...\u001b[0m\n"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "4e4d900437294cf7b137a559a25b7683": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "_model_module": "@jupyter-widgets/base",
       "_model_module_version": "1.2.0",
       "_model_name": "LayoutModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/base",
       "_view_module_version": "1.2.0",
       "_view_name": "LayoutView",
       "align_content": null,
       "align_items": null,
       "align_self": null,
       "border": null,
       "bottom": null,
       "display": null,
       "flex": null,
       "flex_flow": null,
       "grid_area": null,
       "grid_auto_columns": null,
       "grid_auto_flow": null,
       "grid_auto_rows": null,
       "grid_column": null,
       "grid_gap": null,
       "grid_row": null,
       "grid_template_areas": null,
       "grid_template_columns": null,
       "grid_template_rows": null,
       "height": null,
       "justify_content": null,
       "justify_items": null,
       "left": null,
       "margin": null,
       "max_height": null,
       "max_width": null,
       "min_height": null,
       "min_width": null,
       "object_fit": null,
       "object_position": null,
       "order": null,
       "overflow": null,
       "overflow_x": null,
       "overflow_y": null,
       "padding": null,
       "right": null,
       "top": null,
       "visibility": null,
       "width": null
      }
     },
     "5ef685f700754f2099736ea31b205d55": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "_dom_classes": [],
       "_model_module": "@jupyter-widgets/output",
       "_model_module_version": "1.0.0",
       "_model_name": "OutputModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/output",
       "_view_module_version": "1.0.0",
       "_view_name": "OutputView",
       "layout": "IPY_MODEL_d09eb29ebdd64b4f94e830daebd8c9f9",
       "msg_id": "",
       "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: #008000; text-decoration-color: #008000; font-weight: bold\">\u2193</span> <span style=\"color: #000080; text-decoration-color: #000080; font-weight: bold\">monitor_data.hdf5</span> <span style=\"color: #729c1f; text-decoration-color: #729c1f\">\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501</span> <span style=\"color: #800080; text-decoration-color: #800080\">100.0%</span> \u2022 <span style=\"color: #008000; text-decoration-color: #008000\">27.5/27.5 MB</span> \u2022 <span style=\"color: #800000; text-decoration-color: #800000\">26.8 MB/s</span> \u2022 <span style=\"color: #008080; text-decoration-color: #008080\">0:00:00</span>\n</pre>\n",
          "text/plain": "\u001b[1;32m\u2193\u001b[0m \u001b[1;34mmonitor_data.hdf5\u001b[0m \u001b[38;2;114;156;31m\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u001b[0m \u001b[35m100.0%\u001b[0m \u2022 \u001b[32m27.5/27.5 MB\u001b[0m \u2022 \u001b[31m26.8 MB/s\u001b[0m \u2022 \u001b[36m0:00:00\u001b[0m\n"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "71938e8633b244f991ecb85942a6f263": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "_dom_classes": [],
       "_model_module": "@jupyter-widgets/output",
       "_model_module_version": "1.0.0",
       "_model_name": "OutputModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/output",
       "_view_module_version": "1.0.0",
       "_view_name": "OutputView",
       "layout": "IPY_MODEL_f067c76f36614fcba006199e6d24ce2c",
       "msg_id": "",
       "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\">% done (field decay = 8.80e-02) <span style=\"color: #729c1f; text-decoration-color: #729c1f\">\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501</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": "% done (field decay = 8.80e-02) \u001b[38;2;114;156;31m\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u001b[0m \u001b[35m100%\u001b[0m \u001b[36m0:00:00\u001b[0m\n"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "8a651c995b0a47ccb69b8858b4e7672c": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "_dom_classes": [],
       "_model_module": "@jupyter-widgets/output",
       "_model_module_version": "1.0.0",
       "_model_name": "OutputModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/output",
       "_view_module_version": "1.0.0",
       "_view_name": "OutputView",
       "layout": "IPY_MODEL_2574dbc8f7aa42d5bf527a0e0b2e28a1",
       "msg_id": "",
       "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\">% done (field decay = 4.07e-06) <span style=\"color: #729c1f; text-decoration-color: #729c1f\">\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501</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": "% done (field decay = 4.07e-06) \u001b[38;2;114;156;31m\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u001b[0m \u001b[35m100%\u001b[0m \u001b[36m0:00:00\u001b[0m\n"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "8aafdf8e3ad147448b3bd6e832cfbf9c": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "_dom_classes": [],
       "_model_module": "@jupyter-widgets/output",
       "_model_module_version": "1.0.0",
       "_model_name": "OutputModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/output",
       "_view_module_version": "1.0.0",
       "_view_name": "OutputView",
       "layout": "IPY_MODEL_93c1f854f8b94d34a6b50b7e1e086849",
       "msg_id": "",
       "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: #800000; text-decoration-color: #800000; font-weight: bold\">\u2191</span> <span style=\"color: #000080; text-decoration-color: #000080; font-weight: bold\">simulation.json</span> <span style=\"color: #729c1f; text-decoration-color: #729c1f\">\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501</span> <span style=\"color: #800080; text-decoration-color: #800080\">100.0%</span> \u2022 <span style=\"color: #008000; text-decoration-color: #008000\">14.2/14.2 kB</span> \u2022 <span style=\"color: #800000; text-decoration-color: #800000\">?</span> \u2022 <span style=\"color: #008080; text-decoration-color: #008080\">0:00:00</span>\n</pre>\n",
          "text/plain": "\u001b[1;31m\u2191\u001b[0m \u001b[1;34msimulation.json\u001b[0m \u001b[38;2;114;156;31m\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u001b[0m \u001b[35m100.0%\u001b[0m \u2022 \u001b[32m14.2/14.2 kB\u001b[0m \u2022 \u001b[31m?\u001b[0m \u2022 \u001b[36m0:00:00\u001b[0m\n"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
     },
     "93c1f854f8b94d34a6b50b7e1e086849": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "_model_module": "@jupyter-widgets/base",
       "_model_module_version": "1.2.0",
       "_model_name": "LayoutModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/base",
       "_view_module_version": "1.2.0",
       "_view_name": "LayoutView",
       "align_content": null,
       "align_items": null,
       "align_self": null,
       "border": null,
       "bottom": null,
       "display": null,
       "flex": null,
       "flex_flow": null,
       "grid_area": null,
       "grid_auto_columns": null,
       "grid_auto_flow": null,
       "grid_auto_rows": null,
       "grid_column": null,
       "grid_gap": null,
       "grid_row": null,
       "grid_template_areas": null,
       "grid_template_columns": null,
       "grid_template_rows": null,
       "height": null,
       "justify_content": null,
       "justify_items": null,
       "left": null,
       "margin": null,
       "max_height": null,
       "max_width": null,
       "min_height": null,
       "min_width": null,
       "object_fit": null,
       "object_position": null,
       "order": null,
       "overflow": null,
       "overflow_x": null,
       "overflow_y": null,
       "padding": null,
       "right": null,
       "top": null,
       "visibility": null,
       "width": null
      }
     },
     "9ee3e61d69484239944c28df3caf21fc": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "_model_module": "@jupyter-widgets/base",
       "_model_module_version": "1.2.0",
       "_model_name": "LayoutModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/base",
       "_view_module_version": "1.2.0",
       "_view_name": "LayoutView",
       "align_content": null,
       "align_items": null,
       "align_self": null,
       "border": null,
       "bottom": null,
       "display": null,
       "flex": null,
       "flex_flow": null,
       "grid_area": null,
       "grid_auto_columns": null,
       "grid_auto_flow": null,
       "grid_auto_rows": null,
       "grid_column": null,
       "grid_gap": null,
       "grid_row": null,
       "grid_template_areas": null,
       "grid_template_columns": null,
       "grid_template_rows": null,
       "height": null,
       "justify_content": null,
       "justify_items": null,
       "left": null,
       "margin": null,
       "max_height": null,
       "max_width": null,
       "min_height": null,
       "min_width": null,
       "object_fit": null,
       "object_position": null,
       "order": null,
       "overflow": null,
       "overflow_x": null,
       "overflow_y": null,
       "padding": null,
       "right": null,
       "top": null,
       "visibility": null,
       "width": null
      }
     },
     "a4b58675e987474cafd2b223fb148a87": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "_model_module": "@jupyter-widgets/base",
       "_model_module_version": "1.2.0",
       "_model_name": "LayoutModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/base",
       "_view_module_version": "1.2.0",
       "_view_name": "LayoutView",
       "align_content": null,
       "align_items": null,
       "align_self": null,
       "border": null,
       "bottom": null,
       "display": null,
       "flex": null,
       "flex_flow": null,
       "grid_area": null,
       "grid_auto_columns": null,
       "grid_auto_flow": null,
       "grid_auto_rows": null,
       "grid_column": null,
       "grid_gap": null,
       "grid_row": null,
       "grid_template_areas": null,
       "grid_template_columns": null,
       "grid_template_rows": null,
       "height": null,
       "justify_content": null,
       "justify_items": null,
       "left": null,
       "margin": null,
       "max_height": null,
       "max_width": null,
       "min_height": null,
       "min_width": null,
       "object_fit": null,
       "object_position": null,
       "order": null,
       "overflow": null,
       "overflow_x": null,
       "overflow_y": null,
       "padding": null,
       "right": null,
       "top": null,
       "visibility": null,
       "width": null
      }
     },
     "d09eb29ebdd64b4f94e830daebd8c9f9": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "_model_module": "@jupyter-widgets/base",
       "_model_module_version": "1.2.0",
       "_model_name": "LayoutModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/base",
       "_view_module_version": "1.2.0",
       "_view_name": "LayoutView",
       "align_content": null,
       "align_items": null,
       "align_self": null,
       "border": null,
       "bottom": null,
       "display": null,
       "flex": null,
       "flex_flow": null,
       "grid_area": null,
       "grid_auto_columns": null,
       "grid_auto_flow": null,
       "grid_auto_rows": null,
       "grid_column": null,
       "grid_gap": null,
       "grid_row": null,
       "grid_template_areas": null,
       "grid_template_columns": null,
       "grid_template_rows": null,
       "height": null,
       "justify_content": null,
       "justify_items": null,
       "left": null,
       "margin": null,
       "max_height": null,
       "max_width": null,
       "min_height": null,
       "min_width": null,
       "object_fit": null,
       "object_position": null,
       "order": null,
       "overflow": null,
       "overflow_x": null,
       "overflow_y": null,
       "padding": null,
       "right": null,
       "top": null,
       "visibility": null,
       "width": null
      }
     },
     "e4a57c3e11bd4c218c69d7f7ab892f3c": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "_model_module": "@jupyter-widgets/base",
       "_model_module_version": "1.2.0",
       "_model_name": "LayoutModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/base",
       "_view_module_version": "1.2.0",
       "_view_name": "LayoutView",
       "align_content": null,
       "align_items": null,
       "align_self": null,
       "border": null,
       "bottom": null,
       "display": null,
       "flex": null,
       "flex_flow": null,
       "grid_area": null,
       "grid_auto_columns": null,
       "grid_auto_flow": null,
       "grid_auto_rows": null,
       "grid_column": null,
       "grid_gap": null,
       "grid_row": null,
       "grid_template_areas": null,
       "grid_template_columns": null,
       "grid_template_rows": null,
       "height": null,
       "justify_content": null,
       "justify_items": null,
       "left": null,
       "margin": null,
       "max_height": null,
       "max_width": null,
       "min_height": null,
       "min_width": null,
       "object_fit": null,
       "object_position": null,
       "order": null,
       "overflow": null,
       "overflow_x": null,
       "overflow_y": null,
       "padding": null,
       "right": null,
       "top": null,
       "visibility": null,
       "width": null
      }
     },
     "f067c76f36614fcba006199e6d24ce2c": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "_model_module": "@jupyter-widgets/base",
       "_model_module_version": "1.2.0",
       "_model_name": "LayoutModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/base",
       "_view_module_version": "1.2.0",
       "_view_name": "LayoutView",
       "align_content": null,
       "align_items": null,
       "align_self": null,
       "border": null,
       "bottom": null,
       "display": null,
       "flex": null,
       "flex_flow": null,
       "grid_area": null,
       "grid_auto_columns": null,
       "grid_auto_flow": null,
       "grid_auto_rows": null,
       "grid_column": null,
       "grid_gap": null,
       "grid_row": null,
       "grid_template_areas": null,
       "grid_template_columns": null,
       "grid_template_rows": null,
       "height": null,
       "justify_content": null,
       "justify_items": null,
       "left": null,
       "margin": null,
       "max_height": null,
       "max_width": null,
       "min_height": null,
       "min_width": null,
       "object_fit": null,
       "object_position": null,
       "order": null,
       "overflow": null,
       "overflow_x": null,
       "overflow_y": null,
       "padding": null,
       "right": null,
       "top": null,
       "visibility": null,
       "width": null
      }
     }
    },
    "version_major": 2,
    "version_minor": 0
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}