{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "9c123af5-4c14-41c6-aa87-7377ec1e241b",
   "metadata": {},
   "source": [
    "# Using the waveguide plugin to analyze waveguide modes"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b0eccebd-d6a9-446c-a37a-8dfff5656d28",
   "metadata": {},
   "source": [
    "This notebook demonstrates the use of the waveguide plugin to quickly set-up waveguide simulations from usual geometries."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "c8eaa80b-ae21-416d-97b6-b8c587a6de20",
   "metadata": {
    "tags": []
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import tidy3d as td\n",
    "import tidy3d.web as web\n",
    "from matplotlib import pyplot\n",
    "from tidy3d.plugins import waveguide\n",
    "from tidy3d.plugins.mode.web import run as run_mode_solver"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "e8e7870b-d0f5-4e75-961a-0b036c1dc5c4",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Media used in the examples\n",
    "si = td.material_library[\"cSi\"][\"Li1993_293K\"]\n",
    "sio2 = td.material_library[\"SiO2\"][\"Horiba\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a2d2e0ab-5a26-42a4-a722-ed0d262f26cc",
   "metadata": {},
   "source": [
    "## Strip and Rib Geometries\n",
    "\n",
    "The class `RectangularDielectric` allows the creation of a variety of dielectric waveguide geometries common in integrated photonics.\n",
    "\n",
    "First we take a look at a strip silicon waveguide and plot the fundamental quasi-TE and quasi-TM modes, along with their effective indices:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "16d9b93d-475b-4da6-a0cf-5cc98708b727",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "strip = waveguide.RectangularDielectric(\n",
    "    wavelength=1.55,\n",
    "    core_width=0.5,\n",
    "    core_thickness=0.22,\n",
    "    core_medium=si,\n",
    "    clad_medium=sio2,\n",
    "    mode_spec=td.ModeSpec(num_modes=2, group_index_step=True),\n",
    ")\n",
    "\n",
    "# Take a look at the waveguide cross-section\n",
    "_ = strip.plot_structures(x=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "9fc77952-8863-4a37-b1ee-16dadb536a26",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'cross section at x=0.00 (μm)'}, xlabel='y (μm)', ylabel='z (μm)'>"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "strip.plot_field(\"Ex\", mode_index=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "230da69f-9c5a-4ada-ab9a-5c9ba87270bc",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Effective indices: [[2.53287852 1.89256577]]\n",
      "Effective mode areas (µm²): [[0.18574033 0.32482179]]\n",
      "Group index: [[4.17741743 4.18908857]]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<Axes: title={'center': 'cross section at x=0.00 (μm)'}, xlabel='y (μm)', ylabel='z (μm)'>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Mode data\n",
    "print(f\"Effective indices: {strip.n_eff.values}\")\n",
    "print(f\"Effective mode areas (µm²): {strip.mode_area.values}\")\n",
    "print(f\"Group index: {strip.n_group.values}\")\n",
    "\n",
    "fig, ax = pyplot.subplots(1, 2, figsize=(10, 4), tight_layout=True)\n",
    "\n",
    "# quasi-TE mode\n",
    "strip.plot_field(\"Ey\", mode_index=0, ax=ax[0])\n",
    "\n",
    "# quasi-TM mode\n",
    "strip.plot_field(\"Ez\", mode_index=1, ax=ax[1])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "77d90ca8-4719-4158-9a56-fbd3c3f67a8f",
   "metadata": {},
   "source": [
    "It is possible to define waveguides with different substrate and cladding, angled sidewalls, and rib geometry:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "864b5643-91d4-4e62-80cb-69abd228f303",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = pyplot.subplots(1, 2, figsize=(10, 4), tight_layout=True)\n",
    "\n",
    "undercut = strip = waveguide.RectangularDielectric(\n",
    "    wavelength=1.55,\n",
    "    core_width=0.5,\n",
    "    core_thickness=0.22,\n",
    "    sidewall_angle=-np.pi / 12,\n",
    "    core_medium=si,\n",
    "    clad_medium=td.Medium(permittivity=1.0),\n",
    "    box_medium=sio2,\n",
    ")\n",
    "\n",
    "undercut.plot_structures(x=0, ax=ax[0])\n",
    "_ = ax[0].set_title(\"Uncladded undercut channel\")\n",
    "\n",
    "rib = strip = waveguide.RectangularDielectric(\n",
    "    wavelength=1.55,\n",
    "    core_width=0.4,\n",
    "    core_thickness=0.22,\n",
    "    slab_thickness=0.07,\n",
    "    sidewall_angle=np.pi / 6,\n",
    "    core_medium=si,\n",
    "    clad_medium=sio2,\n",
    ")\n",
    "\n",
    "rib.plot_structures(x=0, ax=ax[1])\n",
    "_ = ax[1].set_title(\"Rib waveguide\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "224c9234-8637-42bf-9b62-6278f201ffd7",
   "metadata": {},
   "source": [
    "## FDTD Simulation\n",
    "\n",
    "The waveguide structures can be used in Tidy3D simulations as conventional structures. The origin, length, and orientation of the waveguides can be selected at creation to fit the most common simulation configurations.\n",
    "\n",
    "In the following example, we simulate the effect of directly coupling strip and rib geometries without any tapering and compare the result with the modal overlap calculation between the two modes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "5f4e0a9f-d934-40ac-99b3-9abacfe56680",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "length = 6.0\n",
    "\n",
    "strip, rib = (\n",
    "    waveguide.RectangularDielectric(\n",
    "        wavelength=np.linspace(1.5, 1.6, 11),\n",
    "        core_width=0.45,\n",
    "        core_thickness=0.22,\n",
    "        core_medium=si,\n",
    "        clad_medium=sio2,\n",
    "        slab_thickness=0.07 if slab else 0,\n",
    "        length=length,\n",
    "        origin=(0.5 * length if slab else -0.5 * length, 0, 0),\n",
    "        sidewall_angle=np.pi / 12,\n",
    "    )\n",
    "    for slab in (False, True)\n",
    ")\n",
    "\n",
    "fig, ax = pyplot.subplots(1, 2, figsize=(10, 4), tight_layout=True)\n",
    "strip.plot_structures(x=-0.5 * length, ax=ax[0])\n",
    "rib.plot_structures(x=0.5 * length, ax=ax[1])\n",
    "\n",
    "pyplot.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "3a36fce9-15b7-438d-b1a8-933d9a5b35f6",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 300x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Calculate the mode overlap between waveguides\n",
    "overlap = strip.mode_solver.data.outer_dot(rib.mode_solver.data, False)\n",
    "\n",
    "# Show the overlap at the central frequency\n",
    "f = strip.mode_solver.freqs[strip.wavelength.size // 2]\n",
    "\n",
    "fig, ax = pyplot.subplots(1, 1, figsize=(3, 3), tight_layout=True)\n",
    "\n",
    "ax.matshow(np.abs(overlap.sel(f=f).values), cmap=\"gray\")\n",
    "ax.grid(False)\n",
    "\n",
    "for mi0 in overlap.coords[\"mode_index_0\"]:\n",
    "    for mi1 in overlap.coords[\"mode_index_1\"]:\n",
    "        ovl_dB = 20 * np.log10(np.abs(overlap.sel(f=f, mode_index_0=mi0, mode_index_1=mi1).item()))\n",
    "        ax.text(mi0, mi1, f\"{ovl_dB:.2g} dB\", ha=\"center\", va=\"center\", color=\"tab:red\")\n",
    "\n",
    "ax.set_ylabel(\"Rib mode index\")\n",
    "ax.set_xlabel(\"Strip mode index\")\n",
    "ax.xaxis.set_label_position(\"top\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "f926cffa-5650-4ad6-82f9-ff5ff615227f",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x1000 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "freqs = strip.mode_solver.freqs\n",
    "source_time = td.GaussianPulse(freq0=0.5 * (freqs[0] + freqs[-1]), fwidth=abs(freqs[0] - freqs[-1]))\n",
    "\n",
    "src_gap = 0.5\n",
    "mode_src = td.ModeSource(\n",
    "    center=(-0.5 * length - src_gap / 2, 0, 0),\n",
    "    size=(0, td.inf, td.inf),\n",
    "    source_time=source_time,\n",
    "    num_freqs=5,\n",
    "    direction=\"+\",\n",
    "    mode_spec=strip.mode_spec,\n",
    "    mode_index=0,\n",
    ")\n",
    "\n",
    "strip_mnt = strip.mode_solver.to_monitor(freqs=freqs, name=\"strip\")\n",
    "\n",
    "rib_mnt = rib.mode_solver.to_monitor(freqs=freqs, name=\"rib\")\n",
    "\n",
    "field_mnt = td.FieldMonitor(\n",
    "    center=(0, 0, 0.5 * strip.core_thickness),\n",
    "    size=(td.inf, td.inf, 0),\n",
    "    freqs=freqs,\n",
    "    name=\"field\",\n",
    ")\n",
    "\n",
    "sim_size = (length + 2 * src_gap, strip.width, strip.height)\n",
    "sim_center = (0, 0, strip.mode_solver.plane.center[2])\n",
    "\n",
    "sim = td.Simulation(\n",
    "    size=sim_size,\n",
    "    center=sim_center,\n",
    "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=20),\n",
    "    structures=strip.structures + rib.structures,\n",
    "    sources=[mode_src],\n",
    "    monitors=[strip_mnt, rib_mnt, field_mnt],\n",
    "    run_time=1e-12,\n",
    "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n",
    ")\n",
    "\n",
    "fig, ax = pyplot.subplots(2, 2, figsize=(11, 10), tight_layout=True)\n",
    "sim.plot(z=0.5 * strip.core_thickness, ax=ax[0, 0])\n",
    "sim.plot(z=0.5 * rib.slab_thickness, ax=ax[0, 1])\n",
    "sim.plot(x=-0.5 * length, ax=ax[1, 0])\n",
    "sim.plot(x=0.5 * length, ax=ax[1, 1])\n",
    "pyplot.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "2b40f393-5fd9-478c-83e5-f214ffb45fcc",
   "metadata": {
    "tags": []
   },
   "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\">12:59:38 CEST </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'untapered'</span> with task_id                             \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-47a613f2-f77f-4da7-9e64-b3f725bebd78'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>. \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m12:59:38 CEST\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'untapered'\u001b[0m with task_id                             \n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'fdve-47a613f2-f77f-4da7-9e64-b3f725bebd78'\u001b[0m and task_type \u001b[32m'FDTD'\u001b[0m. \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>View task using web UI at                                         \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-47a613f2-f77f-4da7-9e64-b3f725bebd78\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-47a613f2-f7</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-47a613f2-f77f-4da7-9e64-b3f725bebd78\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">7f-4da7-9e64-b3f725bebd78'</span></a>.                                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                                         \n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=123897;https://tidy3d.simulation.cloud/workbench?taskId=fdve-47a613f2-f77f-4da7-9e64-b3f725bebd78\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=876110;https://tidy3d.simulation.cloud/workbench?taskId=fdve-47a613f2-f77f-4da7-9e64-b3f725bebd78\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=123897;https://tidy3d.simulation.cloud/workbench?taskId=fdve-47a613f2-f77f-4da7-9e64-b3f725bebd78\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=115237;https://tidy3d.simulation.cloud/workbench?taskId=fdve-47a613f2-f77f-4da7-9e64-b3f725bebd78\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=123897;https://tidy3d.simulation.cloud/workbench?taskId=fdve-47a613f2-f77f-4da7-9e64-b3f725bebd78\u001b\\\u001b[32m-47a613f2-f7\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=123897;https://tidy3d.simulation.cloud/workbench?taskId=fdve-47a613f2-f77f-4da7-9e64-b3f725bebd78\u001b\\\u001b[32m7f-4da7-9e64-b3f725bebd78'\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>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/9b36e144-ddb6-41f8-8dd8-30b62b26a870\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=609635;https://tidy3d.simulation.cloud/folders/9b36e144-ddb6-41f8-8dd8-30b62b26a870\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\.                                           \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "80b8ddd4d4494c7d9c601beb54cf62b1",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">12:59:41 CEST </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.115</span>. Minimum cost depends on task      \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>execution details. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>FlexCredit cost after a simulation run.                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m12:59:41 CEST\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.115\u001b[0m. Minimum cost depends on task      \n",
       "\u001b[2;36m              \u001b[0mexecution details. 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 \n",
       "\u001b[2;36m              \u001b[0mFlexCredit cost after a simulation run.                           \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\">12:59:43 CEST </span>status = queued                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m12:59:43 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                   \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>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or             \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the web UI.     \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>Terminating the Python script will not stop the job running on the\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>cloud.                                                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mTo cancel the simulation, use \u001b[32m'web.abort\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or             \n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'web.delete\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or abort/delete the task in the web UI.     \n",
       "\u001b[2;36m              \u001b[0mTerminating the Python script will not stop the job running on the\n",
       "\u001b[2;36m              \u001b[0mcloud.                                                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "7399329b92354b4c8f73f09ced03a932",
       "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\">13:00:41 CEST </span>status = preprocess                                               \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m13:00:41 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess                                               \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\">13:00:48 CEST </span>starting up solver                                                \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m13:00:48 CEST\u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                                \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                                                    \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                    \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "c0b28a475fce46e3999f02160567b5af",
       "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\">13:00:57 CEST </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">20</span>%, exiting.                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m13:00:57 CEST\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected at \u001b[1;36m20\u001b[0m%, exiting.                           \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\">              </span>status = postprocess                                              \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                              \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "456695f7897a4f9a8e1a66d1f835c52b",
       "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\">13:01:02 CEST </span>status = success                                                  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m13:01:02 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                  \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\">13:01:04 CEST </span>View simulation result at                                         \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-47a613f2-f77f-4da7-9e64-b3f725bebd78\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-47a613f2-f7</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-47a613f2-f77f-4da7-9e64-b3f725bebd78\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">7f-4da7-9e64-b3f725bebd78'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m13:01:04 CEST\u001b[0m\u001b[2;36m \u001b[0mView simulation result at                                         \n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=569394;https://tidy3d.simulation.cloud/workbench?taskId=fdve-47a613f2-f77f-4da7-9e64-b3f725bebd78\u001b\\\u001b[4;34m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=692990;https://tidy3d.simulation.cloud/workbench?taskId=fdve-47a613f2-f77f-4da7-9e64-b3f725bebd78\u001b\\\u001b[4;34mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=569394;https://tidy3d.simulation.cloud/workbench?taskId=fdve-47a613f2-f77f-4da7-9e64-b3f725bebd78\u001b\\\u001b[4;34m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=102936;https://tidy3d.simulation.cloud/workbench?taskId=fdve-47a613f2-f77f-4da7-9e64-b3f725bebd78\u001b\\\u001b[4;34mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=569394;https://tidy3d.simulation.cloud/workbench?taskId=fdve-47a613f2-f77f-4da7-9e64-b3f725bebd78\u001b\\\u001b[4;34m-47a613f2-f7\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=569394;https://tidy3d.simulation.cloud/workbench?taskId=fdve-47a613f2-f77f-4da7-9e64-b3f725bebd78\u001b\\\u001b[4;34m7f-4da7-9e64-b3f725bebd78'\u001b[0m\u001b]8;;\u001b\\\u001b[4;34m.\u001b[0m                                       \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "916603db7a8a49379a63291e1d8e3d4a",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">13:01:18 CEST </span>loading simulation from simulation_data.hdf5                      \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m13:01:18 CEST\u001b[0m\u001b[2;36m \u001b[0mloading simulation from simulation_data.hdf5                      \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Run the simulation and download the resulting data\n",
    "data = web.run(sim, task_name=\"untapered\", verbose=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "a81fb535-54cf-4eac-84dd-dfb05b80532a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_ = data.plot_field(\"field\", \"Hz\", val=\"abs\", f=f)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "220e4461-2d68-415d-adb1-5f76ec01e8c3",
   "metadata": {},
   "source": [
    "Looking at the power transmission, we see almost the same result as obtained from the overlap calculation:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "309dc8ba-e8c3-449e-b229-3eeda935517a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rib_transmission = data[\"rib\"].amps.sel(direction=\"+\", mode_index=0)\n",
    "fig, ax = pyplot.subplots(1, 1)\n",
    "ax.plot(rib.wavelength, 20 * np.log10(np.abs(rib_transmission.values)), \".-\")\n",
    "ax.set(\n",
    "    xlabel=\"Wavelength (μm)\",\n",
    "    ylabel=\"Transmission (dB)\",\n",
    "    ylim=(-0.1, 0),\n",
    ")\n",
    "ax.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4f9a48cb-0372-4dee-9ae4-c873bc51f325",
   "metadata": {},
   "source": [
    "We can look at the first quasi-TM mode as well:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "4202640d-45a1-4630-990b-cc9431389631",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">13:01:19 CEST </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'untapered_tm'</span> with task_id                          \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-0a3efe40-08fa-42d4-80fe-1bd855f1a372'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>. \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m13:01:19 CEST\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'untapered_tm'\u001b[0m with task_id                          \n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'fdve-0a3efe40-08fa-42d4-80fe-1bd855f1a372'\u001b[0m and task_type \u001b[32m'FDTD'\u001b[0m. \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>View task using web UI at                                         \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-0a3efe40-08fa-42d4-80fe-1bd855f1a372\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-0a3efe40-08</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-0a3efe40-08fa-42d4-80fe-1bd855f1a372\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">fa-42d4-80fe-1bd855f1a372'</span></a>.                                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                                         \n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=386641;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0a3efe40-08fa-42d4-80fe-1bd855f1a372\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=468358;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0a3efe40-08fa-42d4-80fe-1bd855f1a372\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=386641;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0a3efe40-08fa-42d4-80fe-1bd855f1a372\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=268139;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0a3efe40-08fa-42d4-80fe-1bd855f1a372\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=386641;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0a3efe40-08fa-42d4-80fe-1bd855f1a372\u001b\\\u001b[32m-0a3efe40-08\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=386641;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0a3efe40-08fa-42d4-80fe-1bd855f1a372\u001b\\\u001b[32mfa-42d4-80fe-1bd855f1a372'\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>Task folder: <a href=\"https://tidy3d.simulation.cloud/folders/9b36e144-ddb6-41f8-8dd8-30b62b26a870\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'default'</span></a>.                                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=613132;https://tidy3d.simulation.cloud/folders/9b36e144-ddb6-41f8-8dd8-30b62b26a870\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\.                                           \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "6a4773e7153e46abbefb2289a75cc665",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">13:01:22 CEST </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.115</span>. Minimum cost depends on task      \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>execution details. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get the billed \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>FlexCredit cost after a simulation run.                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m13:01:22 CEST\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.115\u001b[0m. Minimum cost depends on task      \n",
       "\u001b[2;36m              \u001b[0mexecution details. 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 \n",
       "\u001b[2;36m              \u001b[0mFlexCredit cost after a simulation run.                           \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\">13:01:23 CEST </span>status = queued                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m13:01:23 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                   \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>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or             \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the web UI.     \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>Terminating the Python script will not stop the job running on the\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>cloud.                                                            \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mTo cancel the simulation, use \u001b[32m'web.abort\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or             \n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'web.delete\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or abort/delete the task in the web UI.     \n",
       "\u001b[2;36m              \u001b[0mTerminating the Python script will not stop the job running on the\n",
       "\u001b[2;36m              \u001b[0mcloud.                                                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "56c680fc5dc340d5a95128141dac12a2",
       "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\">13:01:35 CEST </span>status = preprocess                                               \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m13:01:35 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess                                               \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\">13:01:40 CEST </span>starting up solver                                                \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m13:01:40 CEST\u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                                \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                                                    \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                    \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "1e0457c0ceff4db7b3465df130e27048",
       "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\">13:01:50 CEST </span>early shutoff detected at <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">20</span>%, exiting.                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m13:01:50 CEST\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected at \u001b[1;36m20\u001b[0m%, exiting.                           \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\">13:01:51 CEST </span>status = postprocess                                              \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m13:01:51 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                              \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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       "model_id": "7113b3d7fba543f8b54a61528e980e4a",
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       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">13:01:53 CEST </span>status = success                                                  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m13:01:53 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                  \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\">13:01:55 CEST </span>View simulation result at                                         \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-0a3efe40-08fa-42d4-80fe-1bd855f1a372\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-0a3efe40-08</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-0a3efe40-08fa-42d4-80fe-1bd855f1a372\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">fa-42d4-80fe-1bd855f1a372'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m13:01:55 CEST\u001b[0m\u001b[2;36m \u001b[0mView simulation result at                                         \n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=867809;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0a3efe40-08fa-42d4-80fe-1bd855f1a372\u001b\\\u001b[4;34m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=512829;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0a3efe40-08fa-42d4-80fe-1bd855f1a372\u001b\\\u001b[4;34mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=867809;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0a3efe40-08fa-42d4-80fe-1bd855f1a372\u001b\\\u001b[4;34m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=225800;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0a3efe40-08fa-42d4-80fe-1bd855f1a372\u001b\\\u001b[4;34mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=867809;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0a3efe40-08fa-42d4-80fe-1bd855f1a372\u001b\\\u001b[4;34m-0a3efe40-08\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=867809;https://tidy3d.simulation.cloud/workbench?taskId=fdve-0a3efe40-08fa-42d4-80fe-1bd855f1a372\u001b\\\u001b[4;34mfa-42d4-80fe-1bd855f1a372'\u001b[0m\u001b]8;;\u001b\\\u001b[4;34m.\u001b[0m                                       \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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      "application/vnd.jupyter.widget-view+json": {
       "model_id": "2c3cc96f512a47e9a9c14c36346c68b2",
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       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">13:02:09 CEST </span>loading simulation from simulation_data.hdf5                      \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m13:02:09 CEST\u001b[0m\u001b[2;36m \u001b[0mloading simulation from simulation_data.hdf5                      \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# mode_src_tm = mode_src.copy(update={\"mode_index\": 1})\n",
    "mode_src_tm = td.ModeSource(\n",
    "    center=(-0.5 * length - src_gap / 2, 0, 0),\n",
    "    size=(0, td.inf, td.inf),\n",
    "    source_time=source_time,\n",
    "    num_freqs=5,\n",
    "    direction=\"+\",\n",
    "    mode_spec=strip.mode_spec,\n",
    "    mode_index=1,\n",
    ")\n",
    "\n",
    "sim_tm = sim.copy(update={\"sources\": [mode_src_tm]})\n",
    "data_tm = td.web.run(sim_tm, task_name=\"untapered_tm\", verbose=True)\n",
    "_ = data_tm.plot_field(\"field\", \"Ez\", val=\"abs\", f=f)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "85581ed8-35eb-4177-aaee-e8ab71c8bef8",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "rib_transmission = data_tm[\"rib\"].amps.sel(direction=\"+\", mode_index=1)\n",
    "strip_reflection = data_tm[\"strip\"].amps.sel(direction=\"-\", mode_index=1)\n",
    "\n",
    "fig, ax = pyplot.subplots(1, 1)\n",
    "ax.plot(rib.wavelength, 20 * np.log10(np.abs(rib_transmission.values)), \".-\", label=\"Transmission\")\n",
    "ax.plot(rib.wavelength, 20 * np.log10(np.abs(strip_reflection.values)), \".-\", label=\"Reflection\")\n",
    "ax.set(\n",
    "    xlabel=\"Wavelength (μm)\",\n",
    "    ylabel=\"Power (dB)\",\n",
    "    ylim=(None, 0),\n",
    ")\n",
    "ax.legend()\n",
    "ax.grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e66a18d4-4823-4d56-8782-e40d99d4af6f",
   "metadata": {},
   "source": [
    "## A Note about Accuracy\n",
    "\n",
    "By default, the waveguide class uses `grid_resolution = 15`. This value is enough for quick mode solving with effective indices relatively accurate (usually within 10% of the best estimate). If higher accuracy is desired, `grid_resolution` can be increased to higher values, for example, to improve the calculation of derived values (group index, coupling length, mode losses, etc.), but for the absolute best results, the server-side mode solver should be preferred.\n",
    "\n",
    "The function `run_mode_solver` starts the given mode solver on the server. To access the mode solver from the waveguide plugin, we simply access its `mode_solver` property, as demonstrated below.\n",
    "\n",
    "Note that using the server-side mode solver does cost a small amount of FlexCredits."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "18e6dae8-989d-40e1-9c3e-2451ec546326",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving for resolution = 15\n",
      "Solving for resolution = 18\n",
      "Solving for resolution = 21\n",
      "Solving for resolution = 24\n",
      "Solving for resolution = 27\n",
      "Solving for resolution = 30\n",
      "Solving for resolution = 33\n",
      "Solving for resolution = 36\n",
      "Solving for resolution = 39\n",
      "Solving for resolution = 42\n",
      "Solving for resolution = 45\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving for resolution = 18\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving for resolution = 21\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving for resolution = 24\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving for resolution = 27\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving for resolution = 30\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving for resolution = 33\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving for resolution = 36\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving for resolution = 39\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving for resolution = 42\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving for resolution = 45\n"
     ]
    }
   ],
   "source": [
    "wg_base = waveguide.RectangularDielectric(\n",
    "    wavelength=1.55,\n",
    "    core_width=0.5,\n",
    "    core_thickness=0.22,\n",
    "    core_medium=si,\n",
    "    clad_medium=sio2,\n",
    "    sidewall_angle=np.pi / 18,\n",
    ")\n",
    "\n",
    "grid_resolution = np.arange(15, 46, 3)\n",
    "n_eff = ([], [])\n",
    "\n",
    "for res in grid_resolution:\n",
    "    print(\"Solving for resolution =\", res, flush=True)\n",
    "    wg = wg_base.copy(update={\"grid_resolution\": res})\n",
    "    n_eff[0].append(wg.n_eff.values)\n",
    "    wg = wg_base.copy(update={\"grid_resolution\": res})\n",
    "    n_eff[1].append(run_mode_solver(wg.mode_solver, verbose=False).n_eff.values)\n",
    "\n",
    "n_eff = [np.squeeze(n) for n in n_eff]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "e6852c78-76e4-40bc-a83f-04a175b32aad",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "_, ax = pyplot.subplots(1, 2, tight_layout=True, figsize=(12, 4))\n",
    "\n",
    "for i in range(2):\n",
    "    ax[i].plot(grid_resolution, n_eff[0][:, i], label=\"Local\")\n",
    "    ax[i].plot(grid_resolution, n_eff[1][:, i], label=\"Server\")\n",
    "    ax[i].legend()\n",
    "    ax[i].set(xlabel=\"Grid resolution\", ylabel=\"Effective index\")\n",
    "    ax[i].grid()\n",
    "\n",
    "ax[0].set_title(\"Quasi-TE mode\")\n",
    "ax[1].set_title(\"Quasi-TM mode\")\n",
    "pyplot.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f1364a15-ac03-41e0-85db-8561b38bec94",
   "metadata": {},
   "source": [
    "## Waveguide Bends\n",
    "\n",
    "Waveguide bends can be modeled by setting the appropriate attributes in the mode specification."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "a4dbcc34-3e9b-4217-9513-4c4086cdb8eb",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Complex effective index: 2.53002+4.24539e-05j\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bend = waveguide.RectangularDielectric(\n",
    "    wavelength=1.55,\n",
    "    core_width=0.5,\n",
    "    core_thickness=0.22,\n",
    "    core_medium=si,\n",
    "    clad_medium=sio2,\n",
    "    mode_spec=td.ModeSpec(\n",
    "        num_modes=1,\n",
    "        bend_radius=5,\n",
    "        bend_axis=1,\n",
    "        num_pml=(12, 12),\n",
    "    ),\n",
    ")\n",
    "\n",
    "fig, ax = pyplot.subplots(1, 1, tight_layout=True)\n",
    "bend.plot_field(\"Ey\", mode_index=0, ax=ax)\n",
    "\n",
    "print(f\"Complex effective index: {bend.n_complex.item():g}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8d5b2272-8b82-449d-ad8d-e85e143ca704",
   "metadata": {},
   "source": [
    "Let's create a helper function to convert the imaginary part of the complex effective index into loss in dB/cm:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "65590a66-a6f3-49fd-9389-eab3a4db0ca7",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Curvature loss: 14.9 dB/cm\n"
     ]
    }
   ],
   "source": [
    "def loss_dB_per_cm(n_complex):\n",
    "    alpha = 2 * np.pi * n_complex.imag * n_complex.f / td.C_0  # µm⁻¹\n",
    "    return 1e4 * 20 * np.log10(np.e) * alpha  # dB/cm\n",
    "\n",
    "\n",
    "print(f\"Curvature loss: {loss_dB_per_cm(bend.n_complex).item():.1f} dB/cm\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "54687924-2d13-4432-ab17-a3d2463a2d50",
   "metadata": {},
   "source": [
    "We can put it all together to plot loss as a function of bend radius. To get better accuracy, we'll use the remote mode solver for this calculation."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "f29cbfb2-6039-4552-a948-10fe91ef96bd",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving for radius = 5.00\n",
      "Solving for radius = 6.46\n",
      "Solving for radius = 8.34\n",
      "Solving for radius = 10.77\n",
      "Solving for radius = 13.91\n",
      "Solving for radius = 17.97\n",
      "Solving for radius = 23.21\n",
      "Solving for radius = 29.97\n",
      "Solving for radius = 38.71\n",
      "Solving for radius = 50.00\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving for radius = 6.46\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving for radius = 8.34\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving for radius = 10.77\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving for radius = 13.91\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving for radius = 17.97\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving for radius = 23.21\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving for radius = 29.97\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving for radius = 38.71\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Solving for radius = 50.00\n"
     ]
    }
   ],
   "source": [
    "radii = 5 * 10 ** np.linspace(0, 1, 10)\n",
    "bend_data = []\n",
    "for radius in radii:\n",
    "    print(f\"Solving for radius = {radius:.2f}\", flush=True)\n",
    "    bend = waveguide.RectangularDielectric(\n",
    "        wavelength=1.55,\n",
    "        core_width=0.5,\n",
    "        core_thickness=0.22,\n",
    "        core_medium=si,\n",
    "        clad_medium=sio2,\n",
    "        mode_spec=td.ModeSpec(\n",
    "            num_modes=2,\n",
    "            bend_radius=radius,\n",
    "            bend_axis=1,\n",
    "            num_pml=(12, 12),\n",
    "        ),\n",
    "    )\n",
    "    bend_data.append(run_mode_solver(bend.mode_solver, verbose=False))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "940a62b4-ba70-423f-9243-cd4dd2f05cf7",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x400 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = pyplot.subplots(1, 2, figsize=(11, 4), tight_layout=True)\n",
    "\n",
    "ax[0].plot(radii, [data.n_eff.isel(mode_index=0).item() for data in bend_data], \".-\")\n",
    "ax[0].set_xlabel(\"Bend radius (μm)\")\n",
    "ax[0].set_ylabel(\"Effective index\")\n",
    "ax[0].grid()\n",
    "\n",
    "ax[1].plot(\n",
    "    radii, [loss_dB_per_cm(data.n_complex).isel(mode_index=0).item() for data in bend_data], \".-\"\n",
    ")\n",
    "ax[1].set_xlabel(\"Bend radius (μm)\")\n",
    "ax[1].set_ylabel(\"Curvature loss (dB/cm)\")\n",
    "ax[1].grid()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "71f0b717-9c08-4bd2-987d-54bce7b8daaf",
   "metadata": {},
   "source": [
    "## Coupled Waveguides\n",
    "\n",
    "The `RectangularDielectric` class supports modeling coupled waveguides by passing an array of core widths (and a corresponding array of gaps between adjacent cores)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "743540d2-d901-4bfd-bbf0-0d5f5918d9f0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "coupled = waveguide.RectangularDielectric(\n",
    "    wavelength=1.55,\n",
    "    core_width=(0.5, 0.5),\n",
    "    core_thickness=0.22,\n",
    "    core_medium=si,\n",
    "    clad_medium=sio2,\n",
    "    gap=0.15,\n",
    "    sidewall_angle=np.pi / 18,\n",
    "    mode_spec=td.ModeSpec(num_modes=4),\n",
    ")\n",
    "\n",
    "_ = coupled.plot_structures(x=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "6672ecb2-9124-4b23-ba79-5d0a64b9d2cd",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Effective indices: [[2.58790025 2.55348271 1.98156471 1.85005072]]\n",
      "Effective mode areas (µm²): [[0.37130773 0.35534603 0.63694388 0.61225581]]\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x700 with 8 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Mode data\n",
    "print(f\"Effective indices: {coupled.n_eff.values}\")\n",
    "print(f\"Effective mode areas (µm²): {coupled.mode_area.values}\")\n",
    "\n",
    "fig, ax = pyplot.subplots(2, 2, figsize=(10, 7), tight_layout=True)\n",
    "\n",
    "coupled.plot_field(\"Ey\", mode_index=0, ax=ax[0, 0])\n",
    "ax[0, 0].set_title(\"Ey (q-TE symmetric)\")\n",
    "\n",
    "coupled.plot_field(\"Ey\", mode_index=1, ax=ax[0, 1])\n",
    "ax[0, 1].set_title(\"Ey (q-TE anti-symmetric)\")\n",
    "\n",
    "coupled.plot_field(\"Ez\", mode_index=2, ax=ax[1, 0])\n",
    "ax[1, 0].set_title(\"Ez (q-TM symmetric)\")\n",
    "\n",
    "coupled.plot_field(\"Ez\", mode_index=3, ax=ax[1, 1])\n",
    "ax[1, 1].set_title(\"Ez (q-TM anti-symmetric)\")\n",
    "\n",
    "pyplot.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "833f9679-bcf0-456d-8da4-883f83304a3d",
   "metadata": {},
   "source": [
    "In a similar fashion, vertical slot waveguides can also be simulated easily:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "1b94edbd-5214-4d13-95cd-dc15025aad04",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1100x400 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "slot = waveguide.RectangularDielectric(\n",
    "    wavelength=1.55,\n",
    "    core_width=(0.22, 0.22),\n",
    "    core_thickness=0.22,\n",
    "    core_medium=si,\n",
    "    clad_medium=sio2,\n",
    "    gap=0.06,\n",
    "    mode_spec=td.ModeSpec(num_modes=1),\n",
    ")\n",
    "\n",
    "fig, ax = pyplot.subplots(1, 3, figsize=(11, 4), tight_layout=True)\n",
    "\n",
    "slot.plot_structures(x=0, ax=ax[0])\n",
    "\n",
    "# We use 'robust=False' because we're interested in the large values at the slot\n",
    "slot.plot_field(\"E\", val=\"abs\", ax=ax[1], robust=False)\n",
    "\n",
    "# Plot a cross-section of the field component normal to the gap\n",
    "ey = slot.mode_solver.data.Ey\n",
    "_ = ey.squeeze(drop=True).sel(z=0.55 * slot.core_thickness, method=\"nearest\").real.plot(ax=ax[2])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eb007947-2dfe-41da-8699-fec43981132d",
   "metadata": {},
   "source": [
    "## Surface Models"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d681e9d5-9bc8-4fd8-9865-c976fd2e4860",
   "metadata": {},
   "source": [
    "Besides using lossy materials for all waveguide regions (core, and upper and lower claddings), it is also possible to create separate medium layers along the sidewalls and top surfaces of the waveguide to model localized losses independently.\n",
    "\n",
    "In the following models, we exaggerate those regions and decrease the domain size only to show a close-up of the resulting geometry.\n",
    "Decreasing the domain size is only advisable if we know the modes will have properly decayed to insignificant values at the domain boundaries.\n",
    "Also note that the colors in each plot correspond to different materials."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "fe3f1b8f-c355-466b-9eb6-aa23fe58a60a",
   "metadata": {
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x700 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = pyplot.subplots(2, 2, figsize=(10, 7), tight_layout=True)\n",
    "\n",
    "lossy0 = waveguide.RectangularDielectric(\n",
    "    wavelength=1.55,\n",
    "    core_width=0.5,\n",
    "    core_thickness=0.25,\n",
    "    core_medium=si,\n",
    "    box_medium=sio2,\n",
    "    clad_medium=td.Medium(permittivity=1.0),\n",
    "    gap=0.15,\n",
    "    sidewall_angle=np.pi / 12,\n",
    "    surface_thickness=0.03,\n",
    "    surface_medium=td.Medium.from_nk(n=3.4, k=0.008, freq=td.C_0 / 1.55),\n",
    "    side_margin=0.3,\n",
    "    clad_thickness=0.3,\n",
    "    box_thickness=0.3,\n",
    ")\n",
    "\n",
    "lossy0.plot_structures(x=0, ax=ax[0, 0])\n",
    "ax[0, 0].set_title(\"Strip with surface layer\")\n",
    "\n",
    "lossy1 = waveguide.RectangularDielectric(\n",
    "    wavelength=1.55,\n",
    "    core_width=0.5,\n",
    "    core_thickness=0.25,\n",
    "    slab_thickness=0.1,\n",
    "    core_medium=si,\n",
    "    box_medium=sio2,\n",
    "    clad_medium=td.Medium(permittivity=1.0),\n",
    "    gap=0.15,\n",
    "    sidewall_angle=np.pi / 12,\n",
    "    surface_thickness=0.03,\n",
    "    surface_medium=td.Medium.from_nk(n=3.4, k=0.008, freq=td.C_0 / 1.55),\n",
    "    side_margin=0.3,\n",
    "    clad_thickness=0.3,\n",
    "    box_thickness=0.3,\n",
    ")\n",
    "\n",
    "lossy1.plot_structures(x=0, ax=ax[0, 1])\n",
    "ax[0, 1].set_title(\"Rib with surface layer\")\n",
    "\n",
    "lossy2 = waveguide.RectangularDielectric(\n",
    "    wavelength=1.55,\n",
    "    core_width=0.5,\n",
    "    core_thickness=0.25,\n",
    "    core_medium=si,\n",
    "    box_medium=sio2,\n",
    "    clad_medium=td.Medium(permittivity=1.0),\n",
    "    gap=0.15,\n",
    "    sidewall_angle=np.pi / 12,\n",
    "    sidewall_thickness=0.05,\n",
    "    sidewall_medium=td.Medium.from_nk(n=3.2, k=0.01, freq=td.C_0 / 1.55),\n",
    "    side_margin=0.3,\n",
    "    clad_thickness=0.3,\n",
    "    box_thickness=0.3,\n",
    ")\n",
    "\n",
    "lossy2.plot_structures(x=0, ax=ax[1, 0])\n",
    "ax[1, 0].set_title(\"Strip with sidewall layer\")\n",
    "\n",
    "lossy3 = waveguide.RectangularDielectric(\n",
    "    wavelength=1.55,\n",
    "    core_width=0.5,\n",
    "    core_thickness=0.25,\n",
    "    slab_thickness=0.1,\n",
    "    core_medium=si,\n",
    "    box_medium=sio2,\n",
    "    clad_medium=td.Medium(permittivity=1.0),\n",
    "    gap=0.15,\n",
    "    sidewall_angle=np.pi / 12,\n",
    "    sidewall_thickness=0.05,\n",
    "    sidewall_medium=td.Medium.from_nk(n=3.2, k=0.01, freq=td.C_0 / 1.55),\n",
    "    surface_thickness=0.03,\n",
    "    surface_medium=td.Medium.from_nk(n=3.4, k=0.008, freq=td.C_0 / 1.55),\n",
    "    side_margin=0.3,\n",
    "    clad_thickness=0.3,\n",
    "    box_thickness=0.3,\n",
    ")\n",
    "\n",
    "lossy3.plot_structures(x=0, ax=ax[1, 1])\n",
    "_ = ax[1, 1].set_title(\"Rib with both layers\")"
   ]
  }
 ],
 "metadata": {
  "description": "This notebook demonstrates how to use the waveguide plugin to analyze optical modes in photonic integrated devices in Tidy3D FDTD.",
  "feature_image": "",
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "keywords": "waveguide, mode analysis, waveguide mode, waveguide plugin, Tidy3D, FDTD",
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.12"
  },
  "title": "Using the Waveguide Plugin in Tidy3D | Flexcompute",
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