{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "986c97ec",
   "metadata": {},
   "source": [
    "# Thin film lithium niobate electro-optic modulator\n",
    "\n",
    "In this example, we will simulate a thin-film lithium niobate electro-optic modulator based on the Pockels effect. The device is based on the work of `*Ying Li et al.*, “High-Performance Mach–Zehnder Modulator Based on Thin-Film Lithium Niobate with Low Voltage-Length Product,” *ACS Omega* 2023, 8 (10), 9644–9651.` DOI: [10.1021/acsomega.3c00310](https://pubs.acs.org/doi/10.1021/acsomega.3c00310).\n",
    "\n",
    "We start by calculating the propagating modes of the TFLN waveguide and the coplanar (CPW) transmission line using [mode simulation](https://www.flexcompute.com/tidy3d/examples/notebooks/ModeSolver/).\n",
    "\n",
    "Finally, we calculate the electro-optic overlap and predict the Vπ·L figure of merit.\n",
    "\n",
    "You can check [here](https://docs.flexcompute.com/projects/photonforge/en/latest/examples/EO-MZM.html) the same model, along with the full chip layout integrated with a foundry PDK, using [Photonforge](https://www.flexcompute.com/photonforge/), our photonic design automation tool.\n",
    "\n",
    "<img src=\"img/TFLN_EOM_Tidy3D.png\" width=600 alt=\"Schematic of the grating coupler\">"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "6fbeeff2",
   "metadata": {},
   "source": [
    "### Workflow Overview\n",
    "\n",
    "[1.](#1) Define the thin-film lithium niobate waveguide geometry and solve for the optical TE mode using the [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html).\n",
    "\n",
    "[2.](#2) Build the CPW transmission line in the same cross-section and compute the RF mode and its overlap with the optical waveguide.\n",
    "\n",
    "[3.](#3) Normalize the RF field to 1 V across the electrodes, evaluate the electro-optic overlap, and estimate Vπ·L."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "7cc91408",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Core simulation and plotting libraries\n",
    "import numpy as np\n",
    "import tidy3d as td\n",
    "\n",
    "# RF utilities for impedance and port definitions\n",
    "import tidy3d.rf as rf\n",
    "from matplotlib import pyplot as plt\n",
    "from tidy3d import web\n",
    "from tidy3d.plugins.mode import ModeSolver\n",
    "\n",
    "# Suppress verbose logs to keep the notebook output clear\n",
    "td.config.logging_level = \"ERROR\""
   ]
  },
  {
   "cell_type": "markdown",
   "id": "49b37a57",
   "metadata": {},
   "source": [
    "## Optical Waveguide Geometry <a name=\"1\"></a>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "a43b5172",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Simulation parameters\n",
    "eff_inf = 1e3  # Large extent to emulate semi-infinite regions\n",
    "\n",
    "opt_wavelength = 1.55\n",
    "freq_opt = td.C_0 / opt_wavelength\n",
    "\n",
    "# Optical materials: SiO2 cladding and TFLN core\n",
    "SiO2 = td.material_library[\"SiO2\"][\"Palik_Lossless\"]\n",
    "LiNbO3 = td.material_library[\"LiNbO3\"][\"Zelmon1997\"](1)\n",
    "\n",
    "# Ridge geometry parameters from the reference design\n",
    "sidewall_angle = 17\n",
    "core_width = 1.1  # w0\n",
    "slab_thickness = 0.22  # h3\n",
    "h3 = slab_thickness\n",
    "core_thickness = 0.4 - slab_thickness\n",
    "plane_size = 8\n",
    "plane_limits = (-1.5, 1.9)\n",
    "plane_height = 3.4\n",
    "\n",
    "\n",
    "# Define waveguide structures\n",
    "ridge = td.Structure(\n",
    "    name=\"ridge\",\n",
    "    geometry=td.Box(\n",
    "        center=(0.0, 0.0, -slab_thickness / 2), size=(eff_inf, eff_inf, slab_thickness)\n",
    "    ),\n",
    "    medium=LiNbO3,\n",
    ")\n",
    "\n",
    "core = td.Structure(\n",
    "    geometry=td.PolySlab(\n",
    "        sidewall_angle=sidewall_angle * np.pi / 180,\n",
    "        reference_plane=\"top\",\n",
    "        slab_bounds=[0, core_thickness],\n",
    "        vertices=[\n",
    "            [-eff_inf, -core_width / 2],\n",
    "            [eff_inf, -core_width / 2],\n",
    "            [eff_inf, core_width / 2],\n",
    "            [-eff_inf, core_width / 2],\n",
    "        ],\n",
    "    ),\n",
    "    name=\"core\",\n",
    "    medium=LiNbO3,\n",
    ")\n",
    "\n",
    "# Grid specification\n",
    "grid_spec = td.GridSpec.auto(min_steps_per_wvl=20, wavelength=opt_wavelength)\n",
    "\n",
    "# Create optical simulation\n",
    "sim_opt = td.Simulation(\n",
    "    size=(10.0, plane_size, plane_height),\n",
    "    run_time=1e-12,\n",
    "    medium=SiO2,\n",
    "    structures=[ridge, core],\n",
    "    grid_spec=grid_spec,\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "e8801650",
   "metadata": {},
   "source": [
    "### Creating the [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) object and running the mode simulation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "5edff819",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "## Creating the ModeSolver\n",
    "\n",
    "mode_spec = td.ModeSpec(num_modes=5, group_index_step=True)\n",
    "\n",
    "plane_size = (0, sim_opt.bounding_box.size[1], sim_opt.bounding_box.size[2])\n",
    "plane = sim_opt.bounding_box.updated_copy(size=plane_size)\n",
    "\n",
    "mode_solver_opt = ModeSolver(simulation=sim_opt, freqs=[freq_opt], mode_spec=mode_spec, plane=plane)\n",
    "\n",
    "_ = mode_solver_opt.plot()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "a454c0e0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">15:08:20 EST </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'TFLN-opt_mode'</span> with resource_id                      \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'mo-8e2b4865-7943-4fee-93a0-ba812e41d7d9'</span> and task_type            \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'MODE_SOLVER'</span>.                                                     \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:08:20 EST\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'TFLN-opt_mode'\u001b[0m with resource_id                      \n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'mo-8e2b4865-7943-4fee-93a0-ba812e41d7d9'\u001b[0m and task_type            \n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'MODE_SOLVER'\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=mo-8e2b4865-7943-4fee-93a0-ba812e41d7d9\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=mo-8e2b4865-7943-</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=mo-8e2b4865-7943-4fee-93a0-ba812e41d7d9\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">4fee-93a0-ba812e41d7d9'</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=47456;https://tidy3d.simulation.cloud/workbench?taskId=mo-8e2b4865-7943-4fee-93a0-ba812e41d7d9\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=497240;https://tidy3d.simulation.cloud/workbench?taskId=mo-8e2b4865-7943-4fee-93a0-ba812e41d7d9\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=47456;https://tidy3d.simulation.cloud/workbench?taskId=mo-8e2b4865-7943-4fee-93a0-ba812e41d7d9\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=203229;https://tidy3d.simulation.cloud/workbench?taskId=mo-8e2b4865-7943-4fee-93a0-ba812e41d7d9\u001b\\\u001b[32mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=47456;https://tidy3d.simulation.cloud/workbench?taskId=mo-8e2b4865-7943-4fee-93a0-ba812e41d7d9\u001b\\\u001b[32m-8e2b4865-7943-\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=47456;https://tidy3d.simulation.cloud/workbench?taskId=mo-8e2b4865-7943-4fee-93a0-ba812e41d7d9\u001b\\\u001b[32m4fee-93a0-ba812e41d7d9'\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/folder-3c92f54f-4ff3-4c2c-b81e-c653296dc2f1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'TFLN-VPI'</span></a>.                                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=104750;https://tidy3d.simulation.cloud/folders/folder-3c92f54f-4ff3-4c2c-b81e-c653296dc2f1\u001b\\\u001b[32m'TFLN-VPI'\u001b[0m\u001b]8;;\u001b\\.                                           \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "236025534d8c4a0c862b27b28d3cb9a0",
       "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\">15:08:30 EST </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.005</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;36m15:08:30 EST\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.005\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\">15:08:31 EST </span>status = queued                                                    \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:08:31 EST\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": "1d1d8bc56c6e4831973afdcb7d1a5019",
       "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\">15:09:31 EST </span>starting up solver                                                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:09:31 EST\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": {
      "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\">15:09:39 EST </span>status = success                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:09:39 EST\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\">             </span>View simulation result at                                          \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=mo-8e2b4865-7943-4fee-93a0-ba812e41d7d9\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=mo-8e2b4865-7943-</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=mo-8e2b4865-7943-4fee-93a0-ba812e41d7d9\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">4fee-93a0-ba812e41d7d9'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mView simulation result at                                          \n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=159810;https://tidy3d.simulation.cloud/workbench?taskId=mo-8e2b4865-7943-4fee-93a0-ba812e41d7d9\u001b\\\u001b[4;34m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=359495;https://tidy3d.simulation.cloud/workbench?taskId=mo-8e2b4865-7943-4fee-93a0-ba812e41d7d9\u001b\\\u001b[4;34mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=159810;https://tidy3d.simulation.cloud/workbench?taskId=mo-8e2b4865-7943-4fee-93a0-ba812e41d7d9\u001b\\\u001b[4;34m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=232727;https://tidy3d.simulation.cloud/workbench?taskId=mo-8e2b4865-7943-4fee-93a0-ba812e41d7d9\u001b\\\u001b[4;34mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=159810;https://tidy3d.simulation.cloud/workbench?taskId=mo-8e2b4865-7943-4fee-93a0-ba812e41d7d9\u001b\\\u001b[4;34m-8e2b4865-7943-\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=159810;https://tidy3d.simulation.cloud/workbench?taskId=mo-8e2b4865-7943-4fee-93a0-ba812e41d7d9\u001b\\\u001b[4;34m4fee-93a0-ba812e41d7d9'\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": "dd88e353550c4448b66ea612202772a1",
       "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\">15:09:42 EST </span>Loading simulation from simulation_data.hdf5                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:09:42 EST\u001b[0m\u001b[2;36m \u001b[0mLoading simulation from simulation_data.hdf5                       \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mode_data_opt = web.run(mode_solver_opt, task_name=\"TFLN-opt_mode\", folder_name=\"TFLN-VPI\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0058eb29",
   "metadata": {},
   "source": [
    "We can now visualize and inspect the optical modes. We are interested in the TE-like fundamental mode (with *mode_index == 0*), which has an effective index of 1.85 and a group index of 2.20. This information is very important to ensure velocity matching between the optical and RF modes, and hence optimize the electro-optical effect."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "11417a3d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mode_solver_opt.plot_field(\"E\", \"abs^2\", mode_index=0)\n",
    "mode_data_opt.to_dataframe()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "821fae2b",
   "metadata": {},
   "source": [
    "## RF CPW Transmission Line <a name=\"2\"></a>\n",
    "\n",
    "Next, we define the CPW geometry and again use [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) to calculate the RF mode.\n",
    "\n",
    "For more information on CPW mode calculation, one can refer to [this](https://www.flexcompute.com/tidy3d/examples/notebooks/CPWRFPhotonics1/) example."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "fd57cb3d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# RF frequency range\n",
    "rf_freqs = np.linspace(10e9, 90e9, 21)\n",
    "\n",
    "# RF materials\n",
    "si_rf = td.Medium(permittivity=11.7)\n",
    "sio2_rf = td.Medium(permittivity=3.9)\n",
    "air_rf = td.Medium()\n",
    "tfln_rf = td.AnisotropicMedium(\n",
    "    xx=td.Medium(permittivity=43), yy=td.Medium(permittivity=27.9), zz=td.Medium(permittivity=43)\n",
    ")\n",
    "metal = td.LossyMetalMedium(\n",
    "    frequency_range=(100000000.0, 100000000000.0),\n",
    "    conductivity=41,\n",
    "    fit_param=td.SurfaceImpedanceFitterParam(\n",
    "        max_num_poles=16,\n",
    "    ),\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2f6b2bd8",
   "metadata": {},
   "source": [
    "Since we will sweep over many variables, it is convenient to create a function to return the CPW and optical waveguide geometries."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "ac78e2cb",
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_structures(\n",
    "    h4=4.7,\n",
    "    h2=0.4,\n",
    "    h1=1,\n",
    "    cpw_thickness=1,  # CPW geometry parameters\n",
    "    cpw_width=18,  # w1\n",
    "    cpw_gap=5,  # g\n",
    "    optical_waveguide_gap=25,\n",
    "):  # G\n",
    "    sio2_thickness = h1 + h3 + h4\n",
    "\n",
    "    si_substrate = td.Structure(\n",
    "        geometry=td.Box.from_bounds(\n",
    "            rmin=(-eff_inf, -eff_inf, -eff_inf), rmax=(eff_inf, eff_inf, -sio2_thickness / 2)\n",
    "        ),\n",
    "        medium=si_rf,\n",
    "    )\n",
    "\n",
    "    # Define substrate and layer structures\n",
    "    sio2_slab = td.Structure(\n",
    "        geometry=td.Box(center=(0, 0, 0), size=(eff_inf, eff_inf, sio2_thickness)), medium=sio2_rf\n",
    "    )\n",
    "\n",
    "    # Optical waveguide\n",
    "\n",
    "    center_slab = sio2_slab.geometry.bounds[0][2] + h4 + slab_thickness / 2\n",
    "\n",
    "    tfln_slab = td.Structure(\n",
    "        geometry=td.Box(center=(0, 0, center_slab), size=(eff_inf, eff_inf, slab_thickness)),\n",
    "        medium=tfln_rf,\n",
    "    )\n",
    "\n",
    "    # Calculate vertical offset to position waveguides at TFLN slab level\n",
    "    delta_z = tfln_slab.geometry.center[2] - ridge.geometry.center[2]\n",
    "\n",
    "    # Define conformal cladding for waveguides\n",
    "\n",
    "    delta_z_conformal = sio2_slab.geometry.bounds[1][2]\n",
    "\n",
    "    waveguide_conformal_cladding = td.PolySlab(\n",
    "        sidewall_angle=sidewall_angle * np.pi / 180,\n",
    "        reference_plane=\"top\",\n",
    "        slab_bounds=[delta_z_conformal, delta_z_conformal + core_thickness],\n",
    "        vertices=[\n",
    "            [-eff_inf, -core_width / 1.5],\n",
    "            [eff_inf, -core_width / 1.5],\n",
    "            [eff_inf, core_width / 1.5],\n",
    "            [-eff_inf, core_width / 1.5],\n",
    "        ],\n",
    "    )\n",
    "\n",
    "    # Define right waveguide positioned under CPW gap\n",
    "    waveguide_r = [\n",
    "        ridge.updated_copy(\n",
    "            geometry=ridge.geometry.translated(\n",
    "                x=0, y=optical_waveguide_gap / 2 + core_width / 2, z=delta_z\n",
    "            ),\n",
    "            name=\"ridge_r\",\n",
    "            medium=tfln_rf,\n",
    "        ),\n",
    "        core.updated_copy(\n",
    "            geometry=core.geometry.translated(\n",
    "                x=0, y=optical_waveguide_gap / 2 + core_width / 2, z=delta_z\n",
    "            ),\n",
    "            name=\"core_r\",\n",
    "            medium=tfln_rf,\n",
    "        ),\n",
    "        td.Structure(\n",
    "            geometry=waveguide_conformal_cladding.translated(\n",
    "                x=0, y=optical_waveguide_gap / 2 + core_width / 2, z=0\n",
    "            ),\n",
    "            medium=sio2_rf,\n",
    "        ),\n",
    "    ]\n",
    "\n",
    "    # Define left waveguide positioned under CPW gap\n",
    "    waveguide_l = [\n",
    "        ridge.updated_copy(\n",
    "            geometry=ridge.geometry.translated(\n",
    "                x=0, y=-optical_waveguide_gap / 2 - core_width / 2, z=delta_z\n",
    "            ),\n",
    "            name=\"ridge_l\",\n",
    "            medium=tfln_rf,\n",
    "        ),\n",
    "        core.updated_copy(\n",
    "            geometry=core.geometry.translated(\n",
    "                x=0, y=-optical_waveguide_gap / 2 - core_width / 2, z=delta_z\n",
    "            ),\n",
    "            name=\"core_l\",\n",
    "            medium=tfln_rf,\n",
    "        ),\n",
    "        td.Structure(\n",
    "            geometry=waveguide_conformal_cladding.translated(\n",
    "                x=0, y=-optical_waveguide_gap / 2 - core_width / 2, z=0\n",
    "            ),\n",
    "            medium=sio2_rf,\n",
    "        ),\n",
    "    ]\n",
    "\n",
    "    cpw_center_pos = sio2_slab.geometry.bounds[1][2] + cpw_thickness / 2\n",
    "\n",
    "    # Define CPW transmission line structures\n",
    "    cpw_left = td.Structure(\n",
    "        geometry=td.Box.from_bounds(\n",
    "            rmin=(-eff_inf, -eff_inf, cpw_center_pos - cpw_thickness / 2),\n",
    "            rmax=(eff_inf, -cpw_width / 2 - cpw_gap, cpw_center_pos + cpw_thickness / 2),\n",
    "        ),\n",
    "        medium=metal,\n",
    "    )\n",
    "\n",
    "    cpw_right = td.Structure(\n",
    "        geometry=td.Box.from_bounds(\n",
    "            rmin=(-eff_inf, cpw_width / 2 + cpw_gap, cpw_center_pos - cpw_thickness / 2),\n",
    "            rmax=(eff_inf, eff_inf, cpw_center_pos + cpw_thickness / 2),\n",
    "        ),\n",
    "        medium=metal,\n",
    "    )\n",
    "\n",
    "    cpw_center = td.Structure(\n",
    "        geometry=td.Box.from_bounds(\n",
    "            rmin=(-eff_inf, -cpw_width / 2, cpw_center_pos - cpw_thickness / 2),\n",
    "            rmax=(eff_inf, cpw_width / 2, cpw_center_pos + cpw_thickness / 2),\n",
    "        ),\n",
    "        medium=metal,\n",
    "    )\n",
    "\n",
    "    air_gap = td.Structure(\n",
    "        geometry=td.Box.from_bounds(\n",
    "            rmin=(-eff_inf, -eff_inf, sio2_thickness / 2), rmax=(eff_inf, eff_inf, eff_inf)\n",
    "        ),\n",
    "        medium=air_rf,\n",
    "    )\n",
    "\n",
    "    return (\n",
    "        [sio2_slab, si_substrate, air_gap, cpw_left, cpw_right, cpw_center, tfln_slab]\n",
    "        + waveguide_l\n",
    "        + waveguide_r\n",
    "    )\n",
    "\n",
    "\n",
    "structures = get_structures()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "1610730f",
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_sim(\n",
    "    h4=4.7,  # top SiO2 cladding thickness (µm)\n",
    "    h2=0.4,\n",
    "    h1=1,  # lower layer thickness beneath the electrodes (µm)\n",
    "    cpw_thickness=1,  # CPW geometry parameters (t)\n",
    "    cpw_width=18,  # w1\n",
    "    cpw_gap=5,\n",
    "    optical_waveguide_gap=23 - core_width / 2,  # G\n",
    "    refinement=10,\n",
    "    resolution=30,\n",
    "    fields=[\"Ex\", \"Ey\", \"Ez\", \"Hx\", \"Hy\", \"Hz\"],\n",
    "):  # g)\n",
    "    structures = get_structures(\n",
    "        h4, h2, h1, cpw_thickness, cpw_width, cpw_gap, optical_waveguide_gap\n",
    "    )\n",
    "    # Define layer refinement specification for enhanced mesh at CPW corners\n",
    "\n",
    "    cpw_center = structures[5]\n",
    "    cpw_left = structures[3]\n",
    "    cpw_right = structures[4]\n",
    "    tfln_slab = structures[6]\n",
    "\n",
    "    lr_spec = td.LayerRefinementSpec.from_structures(\n",
    "        structures=[cpw_center, cpw_left, cpw_right],\n",
    "        min_steps_along_axis=5,\n",
    "        corner_refinement=td.GridRefinement(dl=cpw_thickness / refinement, num_cells=5),\n",
    "        refinement_inside_sim_only=False,\n",
    "    )\n",
    "\n",
    "    # Mesh override for waveguide region (fine mesh in z-direction)\n",
    "    override_region = td.MeshOverrideStructure(\n",
    "        geometry=td.Box(\n",
    "            size=(eff_inf, eff_inf, slab_thickness + core_thickness),\n",
    "            center=(0, 0, tfln_slab.geometry.center[2] + slab_thickness / 2),\n",
    "        ),\n",
    "        dl=(None, None, 0.05),\n",
    "    )\n",
    "\n",
    "    # Calculate gap center position\n",
    "    gap_center = cpw_center.geometry.center[1] + cpw_width / 2 + cpw_gap / 2\n",
    "\n",
    "    # Mesh override for left CPW gap (fine mesh in y-direction)\n",
    "    override_region_gap_l = td.MeshOverrideStructure(\n",
    "        geometry=td.Box(size=(eff_inf, cpw_gap, eff_inf), center=(0, gap_center, 0)),\n",
    "        dl=(None, 0.05, None),\n",
    "    )\n",
    "\n",
    "    # Mesh override for right CPW gap (fine mesh in y-direction)\n",
    "    override_region_gap_r = td.MeshOverrideStructure(\n",
    "        geometry=td.Box(size=(eff_inf, cpw_gap, eff_inf), center=(0, -gap_center, 0)),\n",
    "        dl=(None, 0.05, None),\n",
    "    )\n",
    "\n",
    "    # Overall grid specification\n",
    "    grid_spec = td.GridSpec.auto(\n",
    "        min_steps_per_sim_size=resolution,\n",
    "        wavelength=td.C_0 / max(rf_freqs),\n",
    "        layer_refinement_specs=[lr_spec],\n",
    "        override_structures=[override_region, override_region_gap_l, override_region_gap_r],\n",
    "    )\n",
    "\n",
    "    # Integration paths for impedance calculation\n",
    "\n",
    "    # Define current integration path (loop around CPW signal)\n",
    "    I_int = rf.AxisAlignedCurrentIntegral(\n",
    "        center=cpw_center.geometry.center,\n",
    "        size=(\n",
    "            0,\n",
    "            cpw_width + cpw_gap,\n",
    "            5 * cpw_thickness,\n",
    "        ),\n",
    "        sign=\"+\",\n",
    "    )\n",
    "\n",
    "    # Define voltage integration path (line from signal to ground)\n",
    "    V_int = rf.AxisAlignedVoltageIntegral(\n",
    "        center=(0, cpw_width / 2 + cpw_gap / 2, cpw_center.geometry.center[2]),\n",
    "        size=(0, cpw_gap, 0),\n",
    "        sign=\"-\",\n",
    "    )\n",
    "\n",
    "    # Simulation domain size\n",
    "    sim_rf_size = (25, 138, 150)\n",
    "\n",
    "    # Create RF simulation\n",
    "    sim_vpi = td.Simulation(\n",
    "        size=sim_rf_size,\n",
    "        structures=structures,\n",
    "        grid_spec=grid_spec,\n",
    "        run_time=1e-12,\n",
    "    )\n",
    "\n",
    "    # Create and visualize the mode solver\n",
    "\n",
    "    plane = td.Box(\n",
    "        center=cpw_center.geometry.center,\n",
    "        size=(0, sim_vpi.size[1], sim_vpi.size[2]),\n",
    "    )\n",
    "\n",
    "    mzm_solver = ModeSolver(\n",
    "        simulation=sim_vpi,\n",
    "        plane=plane,\n",
    "        mode_spec=td.ModeSpec(num_modes=1, target_neff=2.2),\n",
    "        freqs=rf_freqs,\n",
    "        fields=fields,\n",
    "    )\n",
    "\n",
    "    return sim_vpi, mzm_solver, I_int, V_int\n",
    "\n",
    "\n",
    "sim_vpi, mzm_solver, I_int, V_int = get_sim()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "de0b6b55",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visualize the mesh\n",
    "ax = mzm_solver.plot()\n",
    "mzm_solver.plot_grid(ax=ax)\n",
    "center = mzm_solver.simulation.structures[0].geometry.center\n",
    "ax.set_xlim(center[0] - 20, center[0] + 20)\n",
    "ax.set_ylim(center[1] - 10, center[1] + 10)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "ddd67053",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x300 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot V and I integration paths\n",
    "fig, ax = plt.subplots(figsize=(10, 3))\n",
    "mzm_solver.plot(ax=ax)\n",
    "I_int.plot(x=0, ax=ax)\n",
    "V_int.plot(x=0, ax=ax)\n",
    "ax.set_xlim(-20, 20)\n",
    "ax.set_ylim(-10, 10)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2171248e",
   "metadata": {},
   "source": [
    "### Simulation Definition\n",
    "\n",
    "Now, we define a function to can create the [Simulation](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Simulation.html) and [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) objects.\n",
    "\n",
    "Since the RF wavelength is much larger than the geometric features, we use a [LayerRefinementSpec](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.LayerRefinementSpec.html) at the CPW to automatically enhance the mesh and better resolve its corners.\n",
    "\n",
    "For the rest of the simulation, we use the automatic grid with `min_steps_per_sim_size = 100`, which ensures at least 100 grid cells along the longest dimension of the simulation domain.\n",
    "\n",
    "We will also add mesh override regions to properly resolve the thickness of the optical waveguide, as well as the gaps, to ensure accurate results.\n",
    "\n",
    "For impedance calculation, we define a [current](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.AxisAlignedCurrentIntegral.html) integration path around the CPW signal, and a [voltage](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.AxisAlignedVoltageIntegral.html) integration path from the signal to ground."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "38935f5b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">15:09:43 EST </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'MZM mode solver'</span> with resource_id                    \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'mo-25e66852-c762-4ea5-b522-e33aec584e4c'</span> and task_type            \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'MODE_SOLVER'</span>.                                                     \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:09:43 EST\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'MZM mode solver'\u001b[0m with resource_id                    \n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'mo-25e66852-c762-4ea5-b522-e33aec584e4c'\u001b[0m and task_type            \n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'MODE_SOLVER'\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=mo-25e66852-c762-4ea5-b522-e33aec584e4c\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=mo-25e66852-c762-</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=mo-25e66852-c762-4ea5-b522-e33aec584e4c\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">4ea5-b522-e33aec584e4c'</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=694653;https://tidy3d.simulation.cloud/workbench?taskId=mo-25e66852-c762-4ea5-b522-e33aec584e4c\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=335881;https://tidy3d.simulation.cloud/workbench?taskId=mo-25e66852-c762-4ea5-b522-e33aec584e4c\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=694653;https://tidy3d.simulation.cloud/workbench?taskId=mo-25e66852-c762-4ea5-b522-e33aec584e4c\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=458209;https://tidy3d.simulation.cloud/workbench?taskId=mo-25e66852-c762-4ea5-b522-e33aec584e4c\u001b\\\u001b[32mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=694653;https://tidy3d.simulation.cloud/workbench?taskId=mo-25e66852-c762-4ea5-b522-e33aec584e4c\u001b\\\u001b[32m-25e66852-c762-\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=694653;https://tidy3d.simulation.cloud/workbench?taskId=mo-25e66852-c762-4ea5-b522-e33aec584e4c\u001b\\\u001b[32m4ea5-b522-e33aec584e4c'\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/f89aec3e-3357-4624-9c24-096a87582f12\" 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=364947;https://tidy3d.simulation.cloud/folders/f89aec3e-3357-4624-9c24-096a87582f12\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\.                                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "1454032057fc480091f1f1399060ca51",
       "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\">15:09:53 EST </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.008</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;36m15:09:53 EST\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.008\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\">15:09:54 EST </span>status = queued                                                    \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:09:54 EST\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": {
      "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\">15:10:24 EST </span>starting up solver                                                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:10:24 EST\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": {
      "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\">15:10:30 EST </span>status = success                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:10:30 EST\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\">             </span>View simulation result at                                          \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=mo-25e66852-c762-4ea5-b522-e33aec584e4c\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=mo-25e66852-c762-</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=mo-25e66852-c762-4ea5-b522-e33aec584e4c\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">4ea5-b522-e33aec584e4c'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mView simulation result at                                          \n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=884927;https://tidy3d.simulation.cloud/workbench?taskId=mo-25e66852-c762-4ea5-b522-e33aec584e4c\u001b\\\u001b[4;34m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=259582;https://tidy3d.simulation.cloud/workbench?taskId=mo-25e66852-c762-4ea5-b522-e33aec584e4c\u001b\\\u001b[4;34mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=884927;https://tidy3d.simulation.cloud/workbench?taskId=mo-25e66852-c762-4ea5-b522-e33aec584e4c\u001b\\\u001b[4;34m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=630893;https://tidy3d.simulation.cloud/workbench?taskId=mo-25e66852-c762-4ea5-b522-e33aec584e4c\u001b\\\u001b[4;34mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=884927;https://tidy3d.simulation.cloud/workbench?taskId=mo-25e66852-c762-4ea5-b522-e33aec584e4c\u001b\\\u001b[4;34m-25e66852-c762-\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=884927;https://tidy3d.simulation.cloud/workbench?taskId=mo-25e66852-c762-4ea5-b522-e33aec584e4c\u001b\\\u001b[4;34m4ea5-b522-e33aec584e4c'\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": "29284b44129b4fd99adb95a272fe4cdb",
       "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\">15:10:33 EST </span>Loading simulation from data/MZM_mode_data.hdf5                    \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:10:33 EST\u001b[0m\u001b[2;36m \u001b[0mLoading simulation from data/MZM_mode_data.hdf5                    \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "mzm_mode_data = web.run(mzm_solver, task_name=\"MZM mode solver\", path=\"data/MZM_mode_data.hdf5\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "981f469e",
   "metadata": {},
   "source": [
    "Visualizing the results:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "7d132394",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visualize the RF mode\n",
    "ax = mzm_solver.plot_field(\"E\", \"abs\", f=rf_freqs[0], mode_index=0, robust=True, shading=\"gouraud\")\n",
    "ax.set_ylim(1, 5)\n",
    "ax.set_xlim(5, 18)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9bd87dcc",
   "metadata": {},
   "source": [
    "We can now use the built-in [ImpedanceCalculator](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.ImpedanceCalculator.html) to calculate and visualize the impedance results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "a7147eea",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x300 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def get_impedance(data, I_int, V_int, plot=True):\n",
    "    n_eff = data.n_eff.isel(mode_index=0)\n",
    "    k_eff = data.k_eff.isel(mode_index=0)\n",
    "\n",
    "    # Calculate Z0\n",
    "    Z0_mzm = np.conjugate(\n",
    "        rf.ImpedanceCalculator(voltage_integral=V_int, current_integral=I_int).compute_impedance(\n",
    "            data\n",
    "        )\n",
    "    ).squeeze()\n",
    "\n",
    "    if plot:\n",
    "        fig, ax = plt.subplots(1, 2, figsize=(8, 3), tight_layout=True)\n",
    "\n",
    "        ax[0].plot(rf_freqs * 1e-9, n_eff, \".-\")\n",
    "        ax[0].set(ylabel=\"Effective Index\", xlabel=\"Frequency (GHz)\")\n",
    "\n",
    "        ax[1].plot(rf_freqs * 1e-9, np.real(Z0_mzm), \".-\")\n",
    "        _ = ax[1].set(ylabel=\"Re{Z₀} (Ω)\", xlabel=\"Frequency (GHz)\")\n",
    "\n",
    "    return Z0_mzm, n_eff, k_eff\n",
    "\n",
    "\n",
    "Z0_mzm, n_eff, k_eff = get_impedance(mzm_solver.data, I_int, V_int)\n",
    "\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dc867f82",
   "metadata": {},
   "source": [
    "### Sweep Over Different Parameters\n",
    "\n",
    "Now, we can sweep over different g and w1 parameters, and calculate impedance, effective index and attenuation constant"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "2b2f465a",
   "metadata": {},
   "outputs": [],
   "source": [
    "g_values = np.linspace(2, 16, 10)\n",
    "w1_values = np.linspace(3, 25, 10)\n",
    "\n",
    "dict = {}\n",
    "dic_integrals = {}\n",
    "for g in g_values:\n",
    "    for w1 in w1_values:\n",
    "        sim_vpi, mzm_solver, I_int, V_int = get_sim(\n",
    "            cpw_gap=g,\n",
    "            cpw_width=w1,\n",
    "            h4=2,\n",
    "            h1=1,\n",
    "            optical_waveguide_gap=w1 + g / 2,\n",
    "            fields=[\"Ey\", \"Hy\", \"Hz\"],\n",
    "        )  # Fields for calculating impedance\n",
    "        dict[f\"({g:.2f},{w1:.2f})\"] = mzm_solver\n",
    "        dic_integrals[f\"({g:.2f},{w1:.2f})\"] = I_int, V_int\n",
    "\n",
    "batch = web.Batch(simulations=dict, folder_name=\"mzm_solver\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "97ef1bd6",
   "metadata": {},
   "outputs": [
    {
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       "Output()"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
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       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:12:12 EST\u001b[0m\u001b[2;36m \u001b[0mStarted working on Batch containing \u001b[1;36m100\u001b[0m tasks.                     \n"
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     "data": {
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       "</pre>\n"
      ],
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       "\u001b[2;36m15:24:43 EST\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.895\u001b[0m for the whole batch.                \n"
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>completion.                                                        \n",
       "</pre>\n"
      ],
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       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mUse \u001b[32m'Batch.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed FlexCredit cost after    \n",
       "\u001b[2;36m             \u001b[0mcompletion.                                                        \n"
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       "</pre>\n"
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>batch_mzm_solver/mo-<span style=\"color: #ffff00; text-decoration-color: #ffff00\">5f3a4c62-5f3b-49b3-83f4-c11b4cb70745</span>.hdf5      \n",
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>batch_mzm_solver/mo-<span style=\"color: #ffff00; text-decoration-color: #ffff00\">9075119b-a1bb-459a-bfab-706b6d41baed</span>.hdf5      \n",
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   ],
   "source": [
    "batch_data = batch.run(path_dir=\"batch_mzm_solver\")"
   ]
  },
  {
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    "### Data Processing\n",
    "\n",
    "Now we can calculate impedance, RF effective index, RF losses, and reproduce Figures 4a, 4b, and 4c from the reference [paper](https://pubs.acs.org/doi/10.1021/acsomega.3c00310)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "0289eabe",
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>batch_mzm_solver/mo-<span style=\"color: #ffff00; text-decoration-color: #ffff00\">4c310f44-3213-446a-95a3-09637f7ec7be</span>.hdf5      \n",
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       "</pre>\n"
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       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mLoading simulation from                                            \n",
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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "df_z0 = pd.DataFrame()\n",
    "df_z0.index.name = \"h1\"\n",
    "df_z0.columns.name = \"cpw_thickness\"\n",
    "\n",
    "df_neff = pd.DataFrame()\n",
    "df_neff.index.name = \"h1\"\n",
    "df_neff.columns.name = \"cpw_thickness\"\n",
    "\n",
    "df_k_eff = pd.DataFrame()\n",
    "df_k_eff.index.name = \"h1\"\n",
    "df_k_eff.columns.name = \"cpw_thickness\"\n",
    "\n",
    "for task_name, sim_data in batch_data.items():\n",
    "    I_int, V_int = dic_integrals[task_name]\n",
    "    Z0_mzm, n_eff, k_eff = get_impedance(sim_data, I_int, V_int, plot=False)\n",
    "\n",
    "    h1, cpw_thickness = eval(task_name)\n",
    "    df_z0.loc[h1, cpw_thickness] = Z0_mzm.sel(f=70e9, method=\"nearest\").values\n",
    "    df_neff.loc[h1, cpw_thickness] = n_eff.sel(f=70e9, method=\"nearest\").values\n",
    "    df_k_eff.loc[h1, cpw_thickness] = k_eff.sel(f=70e9, method=\"nearest\").values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "8d09cccd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1700x500 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, Ax = plt.subplots(ncols=3, figsize=(17, 5))\n",
    "\n",
    "pm1 = Ax[0].pcolormesh(\n",
    "    df_z0.index, df_z0.columns, df_z0.values.T.real, cmap=\"jet\", shading=\"gouraud\"\n",
    ")\n",
    "cb1 = plt.colorbar(pm1)\n",
    "cb1.set_label(\"Impedance (Ω)\")\n",
    "\n",
    "pm2 = Ax[1].pcolormesh(\n",
    "    df_neff.index, df_neff.columns, df_neff.values.T, cmap=\"jet\", shading=\"gouraud\"\n",
    ")\n",
    "cb2 = plt.colorbar(pm2)\n",
    "cb2.set_label(\"Effective Index\")\n",
    "\n",
    "df_alpha = 2 * np.pi * (70e9 / td.C_0) * df_k_eff * 10**6\n",
    "pm3 = Ax[2].pcolormesh(\n",
    "    df_alpha.index, df_alpha.columns, df_alpha.values.T, cmap=\"jet\", shading=\"gouraud\"\n",
    ")\n",
    "cb3 = plt.colorbar(pm3)\n",
    "cb3.set_label(\"Attenuation Constant $\\\\alpha$ (1/m)\")\n",
    "\n",
    "for ax in Ax:\n",
    "    ax.set_ylim(Ax[2].get_ylim()[::-1])\n",
    "    ax.set_xlabel(\"h1 (µm)\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9381c163",
   "metadata": {},
   "source": [
    "## Computation of Vπ·L <a name=\"3\"></a>\n",
    "\n",
    "Now we can use the RF fields to calculate the Pockels effect and Vπ·L.\n",
    "\n",
    "First, we create a final simulation with the optimized parameters, as reported in the reference [paper](https://pubs.acs.org/doi/10.1021/acsomega.3c00310)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "24b9a035",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">15:27:46 EST </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'MZM mode solver'</span> with resource_id                    \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'mo-ef231e09-d7d9-485c-a560-7af64b5b12bb'</span> and task_type            \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><span style=\"color: #008000; text-decoration-color: #008000\">'MODE_SOLVER'</span>.                                                     \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:27:46 EST\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'MZM mode solver'\u001b[0m with resource_id                    \n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'mo-ef231e09-d7d9-485c-a560-7af64b5b12bb'\u001b[0m and task_type            \n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'MODE_SOLVER'\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=mo-ef231e09-d7d9-485c-a560-7af64b5b12bb\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=mo-ef231e09-d7d9-</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=mo-ef231e09-d7d9-485c-a560-7af64b5b12bb\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">485c-a560-7af64b5b12bb'</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=877983;https://tidy3d.simulation.cloud/workbench?taskId=mo-ef231e09-d7d9-485c-a560-7af64b5b12bb\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=195993;https://tidy3d.simulation.cloud/workbench?taskId=mo-ef231e09-d7d9-485c-a560-7af64b5b12bb\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=877983;https://tidy3d.simulation.cloud/workbench?taskId=mo-ef231e09-d7d9-485c-a560-7af64b5b12bb\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=40860;https://tidy3d.simulation.cloud/workbench?taskId=mo-ef231e09-d7d9-485c-a560-7af64b5b12bb\u001b\\\u001b[32mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=877983;https://tidy3d.simulation.cloud/workbench?taskId=mo-ef231e09-d7d9-485c-a560-7af64b5b12bb\u001b\\\u001b[32m-ef231e09-d7d9-\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=877983;https://tidy3d.simulation.cloud/workbench?taskId=mo-ef231e09-d7d9-485c-a560-7af64b5b12bb\u001b\\\u001b[32m485c-a560-7af64b5b12bb'\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/f89aec3e-3357-4624-9c24-096a87582f12\" 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=578262;https://tidy3d.simulation.cloud/folders/f89aec3e-3357-4624-9c24-096a87582f12\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\.                                            \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "4a8fd14a45b64bfca538a92549018d1d",
       "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\">15:27:56 EST </span>Estimated FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.009</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;36m15:27:56 EST\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.009\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\">             </span>status = queued                                                    \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \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": {
      "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\">15:30:20 EST </span>starting up solver                                                 \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:30:20 EST\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": {
      "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\">15:30:38 EST </span>status = success                                                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:30:38 EST\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\">             </span>View simulation result at                                          \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=mo-ef231e09-d7d9-485c-a560-7af64b5b12bb\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">'https://tidy3d.simulation.cloud/workbench?taskId=mo-ef231e09-d7d9-</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=mo-ef231e09-d7d9-485c-a560-7af64b5b12bb\" target=\"_blank\"><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">485c-a560-7af64b5b12bb'</span></a><span style=\"color: #000080; text-decoration-color: #000080; text-decoration: underline\">.</span>                                           \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mView simulation result at                                          \n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=473453;https://tidy3d.simulation.cloud/workbench?taskId=mo-ef231e09-d7d9-485c-a560-7af64b5b12bb\u001b\\\u001b[4;34m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=560637;https://tidy3d.simulation.cloud/workbench?taskId=mo-ef231e09-d7d9-485c-a560-7af64b5b12bb\u001b\\\u001b[4;34mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=473453;https://tidy3d.simulation.cloud/workbench?taskId=mo-ef231e09-d7d9-485c-a560-7af64b5b12bb\u001b\\\u001b[4;34m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=245164;https://tidy3d.simulation.cloud/workbench?taskId=mo-ef231e09-d7d9-485c-a560-7af64b5b12bb\u001b\\\u001b[4;34mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=473453;https://tidy3d.simulation.cloud/workbench?taskId=mo-ef231e09-d7d9-485c-a560-7af64b5b12bb\u001b\\\u001b[4;34m-ef231e09-d7d9-\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m             \u001b[0m\u001b]8;id=473453;https://tidy3d.simulation.cloud/workbench?taskId=mo-ef231e09-d7d9-485c-a560-7af64b5b12bb\u001b\\\u001b[4;34m485c-a560-7af64b5b12bb'\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": "d69b122e466a41aa9117a2649b1aa5b0",
       "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\">15:30:43 EST </span>Loading simulation from data/MZM_mode_data.hdf5                    \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:30:43 EST\u001b[0m\u001b[2;36m \u001b[0mLoading simulation from data/MZM_mode_data.hdf5                    \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cpw_width = 18\n",
    "cpw_gap = 5\n",
    "cpw_thickness = 1\n",
    "h1 = 0.5\n",
    "optical_waveguide_gap = 25\n",
    "\n",
    "sim_final, mzm_solver_final, I_int_final, V_int_final = get_sim(\n",
    "    h4=4.7,  # top SiO2 cladding thickness (µm)\n",
    "    h2=0.4,\n",
    "    h1=h1,  # lower layer thickness beneath the electrodes (µm)\n",
    "    cpw_thickness=cpw_thickness,  # CPW geometry parameters (t)\n",
    "    cpw_width=cpw_width,  # w1\n",
    "    cpw_gap=cpw_gap,\n",
    "    optical_waveguide_gap=optical_waveguide_gap,\n",
    "    refinement=20,\n",
    "    resolution=60,\n",
    ")  # g\n",
    "\n",
    "mzm_solver_final_data = web.run(\n",
    "    mzm_solver_final, task_name=\"MZM mode solver\", path=\"data/MZM_mode_data.hdf5\"\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "45bc89f5",
   "metadata": {},
   "source": [
    "To calculate the Pockels effect, we apply an electric field along the LiNbO₃ cut direction to perturb the optical medium. First, we normalize the field by the applied voltage on the push-pull configuration."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "82671b9d",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Compute voltage across the gap and normalize electric field\n",
    "v0 = V_int_final.compute_voltage(mzm_solver_final_data)\n",
    "ey_norm = (mzm_solver_final_data.Ey / (0.5 * v0.real)).isel(f=0, mode_index=0, drop=True).abs\n",
    "\n",
    "\n",
    "waveguide_center = sim_final.structures[8].geometry.bounding_box.center\n",
    "\n",
    "ax = ey_norm.isel(x=0).transpose(\"z\", \"y\").plot(robust=True).axes\n",
    "ax.set_xlim(waveguide_center[1] - 2, waveguide_center[1] + 2)\n",
    "ax.set_ylim(waveguide_center[2] - 1.5, waveguide_center[2] + 1.5)\n",
    "ax.set_aspect(\"equal\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "eb1d41fe",
   "metadata": {},
   "source": [
    "The normalized electric field is applied to the LiNbO₃ crystal along its z-axis, following the Pockels effect model:\n",
    "\n",
    "\n",
    "$$ \\Delta_n = -0.5 n_e^3 r_{33} E $$\n",
    "\n",
    "\n",
    "Where:\n",
    "- $\\Delta_n$: Index variation\n",
    "- $n_e$: Extraordinary refractive index\n",
    "- $r_{33}$: Pockels coefficient (30.9 pm/V) \n",
    "- $E$: Normalized electric field from CPW (1V across gap)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "c2e97084",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Extract LiNbO3 material properties at optical wavelength\n",
    "eps_o, eps_e, _ = (e.real for e in LiNbO3.eps_diagonal(td.C_0 / opt_wavelength))\n",
    "n_e = eps_e**0.5\n",
    "r33 = 30.9e-6  # Pockels coefficient in μm/V\n",
    "\n",
    "# Calculate refractive index variation from Pockels effect\n",
    "Δn = -0.5 * n_e**3 * r33 * ey_norm\n",
    "\n",
    "# Plot index variation (perturbation will only take effect over the LiNbO₃ regions)\n",
    "ax = Δn.isel(x=0).transpose(\"z\", \"y\").plot(robust=False).axes\n",
    "\n",
    "ax.set_xlim(waveguide_center[1] - 2, waveguide_center[1] + 2)\n",
    "ax.set_ylim(waveguide_center[2] - 1.5, waveguide_center[2] + 1.5)\n",
    "\n",
    "ax.set_aspect(\"equal\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ff40809b",
   "metadata": {},
   "source": [
    "Now, assuming that the field scales with the applied voltage, we can define an auxiliary function to create the perturbed medium using a [CustomAnisotropicMedium](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.CustomAnisotropicMedium.html) object as a function of the voltage. \n",
    "\n",
    "This incorporates the index change due to the RF fields and returns a [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) object."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "6a02f7c3",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Use a single data point for the homogeneous directions\n",
    "eps_o_array = td.SpatialDataArray(np.full((1, 1, 1), eps_o), coords={\"x\": [0], \"y\": [0], \"z\": [0]})\n",
    "\n",
    "\n",
    "def perturbed_solver(voltage):\n",
    "    perturbed_ln = td.CustomAnisotropicMedium(\n",
    "        xx=td.CustomMedium(permittivity=eps_o_array, subpixel=True),\n",
    "        yy=td.CustomMedium(permittivity=(n_e + voltage * Δn) ** 2, subpixel=True),\n",
    "        zz=td.CustomMedium(permittivity=eps_o_array, subpixel=True),\n",
    "    )\n",
    "\n",
    "    # Changing the RF mediums to optical mediums\n",
    "    si02_structures_index = [0, 9, 12]\n",
    "    ln_structures_index = [7, 8, 10, 11]\n",
    "\n",
    "    perturbed_structures = list(sim_final.structures)\n",
    "    for i in si02_structures_index:\n",
    "        perturbed_structures[i] = sim_final.structures[i].updated_copy(medium=SiO2)\n",
    "    for i in ln_structures_index:\n",
    "        perturbed_structures[i] = sim_final.structures[i].updated_copy(medium=perturbed_ln)\n",
    "\n",
    "    # Remove metals\n",
    "    del perturbed_structures[2:5]\n",
    "\n",
    "    center = waveguide_center\n",
    "    size = (0, 8, 3)\n",
    "\n",
    "    perturbed_sim = sim_final.updated_copy(\n",
    "        structures=perturbed_structures, size=size, center=center, grid_spec=sim_opt.grid_spec\n",
    "    )\n",
    "\n",
    "    ms = mode_solver_opt.updated_copy(\n",
    "        simulation=perturbed_sim, plane=td.Box(size=size, center=center)\n",
    "    )\n",
    "    return ms"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "344a7394",
   "metadata": {},
   "source": [
    "Next, we create a [Batch](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.web.api.container.Batch.html) and run all mode simulations in parallel."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "29e27d6c",
   "metadata": {},
   "outputs": [],
   "source": [
    "# Define voltages to apply and create a Batch of simulations\n",
    "voltages = np.arange(5)\n",
    "sims = {str(v): perturbed_solver(v) for v in voltages}\n",
    "\n",
    "batch = web.Batch(simulations=sims, folder_name=\"perturbed_mode\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ab6fef3f",
   "metadata": {},
   "source": [
    "We can now visualize the index change for 4V bias."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "1363d29b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "52740f5bbdc744d7923d6ea02ff2d233",
       "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": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "6caacf80cd42458e8306825bd7a5843d",
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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": {
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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "eps0 = sims[\"0\"].simulation.epsilon(sims[\"0\"].plane)\n",
    "eps4 = sims[\"4\"].simulation.epsilon(sims[\"4\"].plane)\n",
    "\n",
    "delta_eps = eps4 - eps0\n",
    "delta_eps.T.real.plot()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "id": "71a7193b",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "191c68bd52c9430b9436e8840ee91b29",
       "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\">15:31:04 EST </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">5</span> tasks.                       \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:31:04 EST\u001b[0m\u001b[2;36m \u001b[0mStarted working on Batch containing \u001b[1;36m5\u001b[0m tasks.                       \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">15:31:42 EST </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.023</span> for the whole batch.                \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:31:42 EST\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.023\u001b[0m for the whole batch.                \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Use <span style=\"color: #008000; text-decoration-color: #008000\">'Batch.real_cost()'</span> to get the billed FlexCredit cost after    \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>completion.                                                        \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mUse \u001b[32m'Batch.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed FlexCredit cost after    \n",
       "\u001b[2;36m             \u001b[0mcompletion.                                                        \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "30b2bc0f5b8e4e969401e77ef1a31411",
       "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\">15:32:03 EST </span>Batch complete.                                                    \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:32:03 EST\u001b[0m\u001b[2;36m \u001b[0mBatch complete.                                                    \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "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\">15:32:04 EST </span>Loading simulation from                                            \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>batch_perturbed_mode/mo-<span style=\"color: #ffff00; text-decoration-color: #ffff00\">512d5306-c0c5-4968-acbd-8d346b2ad238</span>.hdf5  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:32:04 EST\u001b[0m\u001b[2;36m \u001b[0mLoading simulation from                                            \n",
       "\u001b[2;36m             \u001b[0mbatch_perturbed_mode/mo-\u001b[93m512d5306-c0c5-4968-acbd-8d346b2ad238\u001b[0m.hdf5  \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>Loading simulation from                                            \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>batch_perturbed_mode/mo-<span style=\"color: #ffff00; text-decoration-color: #ffff00\">3530ad8b-d91a-431d-84a7-53fc67020c9e</span>.hdf5  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mLoading simulation from                                            \n",
       "\u001b[2;36m             \u001b[0mbatch_perturbed_mode/mo-\u001b[93m3530ad8b-d91a-431d-84a7-53fc67020c9e\u001b[0m.hdf5  \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\">15:32:05 EST </span>Loading simulation from                                            \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>batch_perturbed_mode/mo-<span style=\"color: #ffff00; text-decoration-color: #ffff00\">e85a38cd-6646-433d-95c2-6f91c98a6362</span>.hdf5  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:32:05 EST\u001b[0m\u001b[2;36m \u001b[0mLoading simulation from                                            \n",
       "\u001b[2;36m             \u001b[0mbatch_perturbed_mode/mo-\u001b[93me85a38cd-6646-433d-95c2-6f91c98a6362\u001b[0m.hdf5  \n"
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>batch_perturbed_mode/mo-<span style=\"color: #ffff00; text-decoration-color: #ffff00\">b0b3be74-39a8-4009-ba71-ebb5e081a822</span>.hdf5  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mLoading simulation from                                            \n",
       "\u001b[2;36m             \u001b[0mbatch_perturbed_mode/mo-\u001b[93mb0b3be74-39a8-4009-ba71-ebb5e081a822\u001b[0m.hdf5  \n"
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    {
     "data": {
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>Loading simulation from                                            \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>batch_perturbed_mode/mo-<span style=\"color: #ffff00; text-decoration-color: #ffff00\">3f6d5773-368d-4f81-b572-b6d8c6a0482c</span>.hdf5  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mLoading simulation from                                            \n",
       "\u001b[2;36m             \u001b[0mbatch_perturbed_mode/mo-\u001b[93m3f6d5773-368d-4f81-b572-b6d8c6a0482c\u001b[0m.hdf5  \n"
      ]
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     "metadata": {},
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    }
   ],
   "source": [
    "# Run all simulations in parallel\n",
    "batch_data = batch.run(path_dir=\"batch_perturbed_mode\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3e2f7f22",
   "metadata": {},
   "source": [
    "Finally, we can observe the variation of the waveguide mode effective index as a function of the applied voltage and calculate the Vπ·L figure of merit."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "id": "7b8459f0",
   "metadata": {},
   "outputs": [
    {
     "data": {
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>batch_perturbed_mode/mo-<span style=\"color: #ffff00; text-decoration-color: #ffff00\">512d5306-c0c5-4968-acbd-8d346b2ad238</span>.hdf5  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m15:32:06 EST\u001b[0m\u001b[2;36m \u001b[0mLoading simulation from                                            \n",
       "\u001b[2;36m             \u001b[0mbatch_perturbed_mode/mo-\u001b[93m512d5306-c0c5-4968-acbd-8d346b2ad238\u001b[0m.hdf5  \n"
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>batch_perturbed_mode/mo-<span style=\"color: #ffff00; text-decoration-color: #ffff00\">3530ad8b-d91a-431d-84a7-53fc67020c9e</span>.hdf5  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mLoading simulation from                                            \n",
       "\u001b[2;36m             \u001b[0mbatch_perturbed_mode/mo-\u001b[93m3530ad8b-d91a-431d-84a7-53fc67020c9e\u001b[0m.hdf5  \n"
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     "metadata": {},
     "output_type": "display_data"
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>batch_perturbed_mode/mo-<span style=\"color: #ffff00; text-decoration-color: #ffff00\">e85a38cd-6646-433d-95c2-6f91c98a6362</span>.hdf5  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mLoading simulation from                                            \n",
       "\u001b[2;36m             \u001b[0mbatch_perturbed_mode/mo-\u001b[93me85a38cd-6646-433d-95c2-6f91c98a6362\u001b[0m.hdf5  \n"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">15:32:07 EST </span>Loading simulation from                                            \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">             </span>batch_perturbed_mode/mo-<span style=\"color: #ffff00; text-decoration-color: #ffff00\">b0b3be74-39a8-4009-ba71-ebb5e081a822</span>.hdf5  \n",
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       "\u001b[2;36m15:32:07 EST\u001b[0m\u001b[2;36m \u001b[0mLoading simulation from                                            \n",
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       "</pre>\n"
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       "\u001b[2;36m            \u001b[0m\u001b[2;36m \u001b[0mLoading simulation from                                            \n",
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "n_eff = [sim_data.n_eff.isel(mode_index=0, f=0).item() for sim_data in batch_data.values()]\n",
    "\n",
    "_ = plt.plot(voltages, n_eff, \".-\")\n",
    "_ = plt.ticklabel_format(style=\"plain\", useOffset=False)\n",
    "plt.gca().set(xlabel=\"Voltage (V)\", ylabel=\"Optical Effective Index\")\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "id": "8093b264",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Vπ·L (push-pull)    = 1.61 V·cm\n"
     ]
    }
   ],
   "source": [
    "# The variation is quite linear, so we simply use the largest interval\n",
    "dneff_dV = abs(n_eff[-1] - n_eff[0]) / (voltages[-1] - voltages[0])\n",
    "\n",
    "vpil = 0.5 * opt_wavelength / dneff_dV  # in V·μm\"\n",
    "\n",
    "print(f\"Vπ·L (push-pull)    = {vpil * 1e-4 / 2:.2f} V·cm\")"
   ]
  }
 ],
 "metadata": {
  "applications": [
   "Active photonic integrated circuit components"
  ],
  "description": "This notebook demonstrates how to model a thin-film lithium niobate electro-optic modulator",
  "feature_image": "./img/TFLN_EOM_Tidy3D.png",
  "features": [
   "Anisotropic material"
  ],
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "keywords": "lithium niobate, electro-optic modulation, mode analysis, 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": "3.13.7"
  },
  "title": "How to model a TFLN EOM using Tidy3D | Flexcompute"
 },
 "nbformat": 4,
 "nbformat_minor": 5
}