{ "cells": [ { "cell_type": "markdown", "id": "9ab7c758-77bc-4ecc-883d-115f2a35fa3c", "metadata": {}, "source": [ "# Heat dissipation in SOI platforms" ] }, { "cell_type": "markdown", "id": "501e0aa6-c944-4b58-894f-834c96a383e7", "metadata": {}, "source": [ "When designing heated devices, it is important to have an understanding of thermal crosstalk in order to inform the spatial layout of your device. In this example we study the effects on silicon waveguides from heating elements spaced at various distances. This is based on the simulation and experimental data specified in `Pant et. al. \"Study into the spread of heat from thermo-optic silicon photonic elements,\" Opt. Express 29, 36461-36468 (2021)` [DOI:10.1364/OE.426748](https://doi.org/10.1364/OE.426748).

\n", "In this paper, the authors study the thermal crosstalk between heating elements and waveguides, as well as heated waveguides and reference waveguides, separated at various distances. Here we replicate results of two setups:
\n", "
    \n", "
  1. A heating element at a fixed height above a reference silicon waveguide, translated laterally at various distances. We record the temperature in the center of the waveguide at these heater distances.
    2. \n", "
  2. A heating element above a silicon waveguide, both translated laterally from a reference waveguide. We record the temperature profile along the cross-section through the center of the waveguide layer.
    3. \n", "
\n", "\"Schematic\n", "In both setups, we use the stack in process design kit (PDK) of the Cornerstone multi-project wafer (MPW) fabrication service: Silicon on a buried oxide layer, with $\\text{SiO}_2$ cladding, with a separation of 5 μm between the waveguide and surrounding silicon, all on a silicon substrate." ] }, { "cell_type": "code", "execution_count": 1, "id": "17d9a084-9da7-42e0-b340-11cc57fa2821", "metadata": {}, "outputs": [], "source": [ "import gdstk\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import tidy3d as td\n", "import tidy3d.web as web" ] }, { "cell_type": "markdown", "id": "b4b497a4-0129-4180-bfd6-604dbc88a700", "metadata": {}, "source": [ "## Make Structures\n", "\n", "The waveguide in the first setup in the paper is meant to be the arm of a Mach-Zehnder interferometer (MZI). We will thus distinguish this waveguide from the next by labelling it as \"arm.\" We will also define the layer thicknesses used in the paper's PDK." ] }, { "cell_type": "code", "execution_count": 2, "id": "c052fb70-cb24-4cc4-b887-f3864bdd9e33", "metadata": {}, "outputs": [], "source": [ "# waveguide geometry\n", "arm_thickness = 0.22\n", "arm_width = 0.5\n", "\n", "# heating element geometry\n", "heat_thickness = 0.15\n", "heat_length = 108\n", "heat_width = 2\n", "heat_height = 1\n", "\n", "# for defining different heaters, the difference which we'll analyze\n", "heat_offsets = np.linspace(0, 10, 11)\n", "\n", "# other layer information\n", "oxide_bottom_thickness = 2\n", "oxide_top_thickness = 1\n", "\n", "inf = 1000 # large number for making structures extend effectively to infinity" ] }, { "cell_type": "code", "execution_count": 3, "id": "589fd4be-b60e-4150-9992-cec4f5ddcf09", "metadata": {}, "outputs": [], "source": [ "# create geometries\n", "arm_geo = td.Box(size=(heat_length, arm_width, arm_thickness))\n", "\n", "heat_geo = td.Box(\n", " center=(0, 0, heat_height + heat_thickness / 2), size=(heat_length, heat_width, heat_thickness)\n", ")\n", "# translate copies of each heater along their corresponding distance\n", "heat_geos = [heat_geo]\n", "for i in range(len(heat_offsets) - 1):\n", " dif = heat_offsets[i] - heat_offsets[i + 1]\n", " heat_geos.append(heat_geos[i].translated(x=0, y=dif, z=0))\n", "\n", "oxide_geo = td.Box.from_bounds(\n", " rmin=(-inf, -inf, -2 - arm_thickness / 2), rmax=(inf, inf, heat_height)\n", ")\n", "\n", "si_bottom_geo = td.Box.from_bounds(rmin=(-inf, -inf, -inf), rmax=(inf, inf, -2 - arm_thickness / 2))" ] }, { "cell_type": "markdown", "id": "441b2ea7-287d-47d8-8647-f15041f696d6", "metadata": {}, "source": [ "## Define Multiphysics Materials\n", "\n", "Since we are interested in thermal properties of these materials, we must define perturbation mediums to track this information." ] }, { "cell_type": "code", "execution_count": 4, "id": "19e5bde6-6b27-4045-a535-1add50610e9c", "metadata": {}, "outputs": [], "source": [ "freq0 = td.C_0 / 1.55\n", "\n", "# material properties\n", "Si_n = 3.4777 # Si refraction index\n", "Si_dn_dT = 1.86e-4 # Si thermo-optic coefficient dn/dT, 1/K\n", "Si_s = 711 # Si specific heat, J / (kg * K)\n", "Si_k = 148e-6 # Si thermal conductivity, W / (um * K)\n", "\n", "SiO2_n = 1.444 # SiO2 refraction index\n", "SiO2_dn_dT = 1e-5 # SiO2 thermo-optic coefficient dn/dT, 1/K\n", "SiO2_s = 700 # SiO2 specific heat capacity, J / (kg * K)\n", "SiO2_k = 1.38e-6 # SiO2 thermal conductivity, W/(um*K)\n", "\n", "TiN_s = 598 # TiN specific heat capacity, J / (kg * K)\n", "TiN_k = 28e-6 # TiN thermal conductivity W/(um*K)\n", "\n", "Si = td.PerturbationMedium(\n", " permittivity=Si_n**2,\n", " perturbation_spec=td.IndexPerturbation(\n", " delta_n=td.ParameterPerturbation(\n", " heat=td.LinearHeatPerturbation(coeff=Si_dn_dT, temperature_ref=300)\n", " ),\n", " freq=freq0,\n", " ),\n", " heat_spec=td.SolidSpec(\n", " conductivity=Si_k,\n", " capacity=Si_s,\n", " ),\n", " name=\"Si\",\n", ")\n", "\n", "SiO2 = td.PerturbationMedium(\n", " permittivity=SiO2_n**2,\n", " perturbation_spec=td.IndexPerturbation(\n", " delta_n=td.ParameterPerturbation(\n", " heat=td.LinearHeatPerturbation(coeff=SiO2_dn_dT, temperature_ref=300)\n", " ),\n", " freq=freq0,\n", " ),\n", " heat_spec=td.SolidSpec(\n", " conductivity=SiO2_k,\n", " capacity=SiO2_s,\n", " ),\n", " name=\"SiO2\",\n", ")\n", "\n", "TiN = td.PECMedium(\n", " heat_spec=td.SolidSpec(\n", " conductivity=TiN_k,\n", " capacity=TiN_s,\n", " ),\n", " name=\"TiN\",\n", ")\n", "\n", "air = td.Medium(heat_spec=td.FluidSpec(), name=\"air\")" ] }, { "cell_type": "markdown", "id": "a72f92f3-460e-4839-affe-6f8e9e1a5f3f", "metadata": {}, "source": [ "## Create Structures and Combine Them into a Scene" ] }, { "cell_type": "code", "execution_count": 5, "id": "1d4f53b3-80fe-4c80-a258-15a6a4347de6", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data", "transient": {} } ], "source": [ "oxide = td.Structure(geometry=oxide_geo, medium=SiO2, name=\"BOX\")\n", "arm = td.Structure(geometry=arm_geo, medium=Si, name=\"MZI\")\n", "heaters = [\n", " td.Structure(geometry=heat_geo, medium=TiN, name=str(i)) for i, heat_geo in enumerate(heat_geos)\n", "]\n", "si_bottom = td.Structure(geometry=si_bottom_geo, medium=Si, name=\"Si_bottom\")\n", "\n", "scene = td.Scene(\n", " medium=air,\n", " structures=[oxide, arm, heaters[0]],\n", ")\n", "scene.plot(x=0, hlim=(-6, 6), vlim=(-2, 2))\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "6b7dc9c1-c415-4603-92ca-fee1173d8a0e", "metadata": {}, "source": [ "## Other Heat Simulation Specifications" ] }, { "cell_type": "markdown", "id": "ab5d99d1-b12b-460a-a7be-2c424899bad5", "metadata": {}, "source": [ "Here we define the heat source and assign it to the heating element structure:" ] }, { "cell_type": "code", "execution_count": 6, "id": "6d788764-1a86-4682-b258-8f21ff04f140", "metadata": {}, "outputs": [], "source": [ "heater_volume = heat_thickness * heat_width * heat_length\n", "\n", "heat_watts = 13e-3 # heat given in paper as 13 mW\n", "heat_rate = heat_watts / heater_volume\n", "heat_sources = [td.HeatSource(rate=heat_rate, structures=[heater.name]) for heater in heaters]" ] }, { "cell_type": "markdown", "id": "d72dcf4c-13c5-4ab7-8707-a4d943d7063c", "metadata": {}, "source": [ "In the paper, the temperature is measured in the center of the waveguide, so we define a point temperature monitor at this location:" ] }, { "cell_type": "code", "execution_count": 7, "id": "8f76b75a-8ad5-4a09-bd1c-8eb4347cd2dd", "metadata": {}, "outputs": [], "source": [ "temp = td.TemperatureMonitor(size=(0, 0, 0), name=\"t\", unstructured=True)" ] }, { "cell_type": "markdown", "id": "0b208677-b579-4326-9f45-0c7945087dec", "metadata": {}, "source": [ "In the paper, the bottom boundary of the simulation is kept at 300 °K, so we implement this boundary condition:" ] }, { "cell_type": "code", "execution_count": 8, "id": "fc87fdd5-fd87-40ac-bfa6-e1d96cd30b93", "metadata": {}, "outputs": [], "source": [ "bc_bottom = td.HeatBoundarySpec(\n", " placement=td.SimulationBoundary(surfaces=[\"z-\"]),\n", " condition=td.TemperatureBC(temperature=300),\n", ")" ] }, { "cell_type": "markdown", "id": "b2124da3-3262-45ca-9063-5adfe4bb0105", "metadata": {}, "source": [ "Here we define the unstructured meshing used in the heat simulation subject to the thickness of the thinnest structure (the heating element) in the simulation:" ] }, { "cell_type": "code", "execution_count": 9, "id": "1fdae8ab-0f43-40f3-9c77-09ff89e199d9", "metadata": {}, "outputs": [], "source": [ "dl_min = heat_thickness / 3\n", "grid_spec = td.DistanceUnstructuredGrid(\n", " dl_interface=dl_min,\n", " dl_bulk=4 * dl_min,\n", " distance_interface=3 * dl_min,\n", " distance_bulk=2 * heat_height,\n", ")" ] }, { "cell_type": "markdown", "id": "96c37652-65d3-49e2-834f-5849af9ce5e9", "metadata": {}, "source": [ "## Create Batch of Heat Simulations" ] }, { "cell_type": "markdown", "id": "12e9fffd-7892-4f1b-91aa-384871a70f68", "metadata": {}, "source": [ "Note that, for the first simulation with zero offset, the simulation has symmetry, so we will add this into the first simulation." ] }, { "cell_type": "code", "execution_count": 10, "id": "86c1c755-4d6b-4e56-a5be-0510a9ee7e4f", "metadata": {}, "outputs": [], "source": [ "def create_sim(heat_index, symmetry):\n", " heat_sim = td.HeatChargeSimulation(\n", " size=(0, 6 + heat_index * heat_width, 6),\n", " boundary_spec=[bc_bottom],\n", " structures=[oxide, arm, heaters[heat_index], si_bottom],\n", " sources=[heat_sources[heat_index]],\n", " monitors=[temp],\n", " symmetry=symmetry,\n", " grid_spec=grid_spec,\n", " medium=air,\n", " )\n", " return heat_sim" ] }, { "cell_type": "code", "execution_count": 11, "id": "6829ed6c-9840-4983-8020-c7ffe6edf15a", "metadata": {}, "outputs": [], "source": [ "heat_sims_1 = {}\n", "for i in range(len(heat_sources)):\n", " symmetry = (0, 0, 0)\n", " if i == 0:\n", " symmetry = (0, 1, 0)\n", " heat_sims_1[str(i)] = create_sim(i, symmetry)" ] }, { "cell_type": "code", "execution_count": 12, "id": "f144e1a2-b09a-43ff-bf2c-fed77738d1ac", "metadata": {}, "outputs": [ { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data", "transient": {} } ], "source": [ "# check simulations\n", "fig, ax = plt.subplots(1, 2, tight_layout=True, figsize=(8, 6))\n", "\n", "heat_sims_1[\"0\"].plot(x=0, ax=ax[0])\n", "ax[0].set_title(\"0-offset simulation\")\n", "heat_sims_1[\"1\"].plot(x=0, ax=ax[1])\n", "ax[1].set_title(\"1μm-offset simulation\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "57a5467c-5cb6-42b5-a6f0-6aa1188c1ca2", "metadata": {}, "source": [ "## Run Batch" ] }, { "cell_type": "code", "execution_count": 13, "id": "693392c9-4c3b-47e3-968b-b7edcf1c6108", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
0               → success ━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:07\n",
       "1               → success ━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:07\n",
       "2               → success ━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:07\n",
       "3               → success ━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:07\n",
       "4               → success ━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:07\n",
       "5               → success ━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:07\n",
       "6               → success ━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:07\n",
       "7               → success ━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:07\n",
       "8               → success ━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:07\n",
       "9               → success ━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:06\n",
       "10              → success ━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:06\n",
       "
\n" ], "text/plain": [ "0 → \u001b[32msuccess\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[33m0:00:07\u001b[0m\n", "1 → \u001b[32msuccess\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[33m0:00:07\u001b[0m\n", "2 → \u001b[32msuccess\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[33m0:00:07\u001b[0m\n", "3 → \u001b[32msuccess\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[33m0:00:07\u001b[0m\n", "4 → \u001b[32msuccess\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[33m0:00:07\u001b[0m\n", "5 → \u001b[32msuccess\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[33m0:00:07\u001b[0m\n", "6 → \u001b[32msuccess\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[33m0:00:07\u001b[0m\n", "7 → \u001b[32msuccess\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[33m0:00:07\u001b[0m\n", "8 → \u001b[32msuccess\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[33m0:00:07\u001b[0m\n", "9 → \u001b[32msuccess\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[33m0:00:06\u001b[0m\n", "10 → \u001b[32msuccess\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[33m0:00:06\u001b[0m\n" ] }, "metadata": {}, "output_type": "display_data", "transient": {} }, { "data": { "text/html": [ "
11:17:01 UTC Batch complete.                                                    \n",
       "
\n" ], "text/plain": [ "\u001b[2;36m11:17:01 UTC\u001b[0m\u001b[2;36m \u001b[0mBatch complete. \n" ] }, "metadata": {}, "output_type": "display_data", "transient": {} }, { "data": { "text/html": [ "
\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data",
     "transient": {}
    }
   ],
   "source": [
    "batch_1 = web.Batch(simulations=heat_sims_1)\n",
    "batch_1_data = batch_1.run(path_dir=\"./heat_data/\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f071bf8f-e1c3-4d9e-a3f5-3ce626318f43",
   "metadata": {},
   "source": [
    "## Get and Compare Data"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dd22a602-40a4-4b3d-b7dd-3a58b4d58bdc",
   "metadata": {},
   "source": [
    "We compare the temperatures in the center of the waveguide for each simulation with the paper's experimental (\"Experiment\") and simulated (\"Alternative simulation\") data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "945ea622-5dc6-4ab1-92ae-5a7dbcec50a4",
   "metadata": {},
   "outputs": [],
   "source": [
    "temps_1 = np.squeeze(\n",
    "    [(batch_1_data[str(i)][\"t\"].temperature - 300) for i in range(len(heat_sources))]\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "e9b39256-c23a-4bc1-9792-3f4264d9d82a",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "
"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "transient": {}
    }
   ],
   "source": [
    "# data from Pant et. al. (their simulations and experiment)\n",
    "experimental_data = [37.9, 20.48213, 6.93489, 3.06426, 2.33851]\n",
    "exp_domain = heat_offsets[:-1:2]\n",
    "paper_sim_data = [38.05, 33.22, 22.67, 13.77, 7.79, 4.22, 2.35, 1.54, 1.23, 1.06, 0.92]\n",
    "\n",
    "plt.plot(heat_offsets, temps_1, label=\"Tidy3D\")\n",
    "plt.scatter(exp_domain, experimental_data, label=\"Experiment\", marker=\"s\", color=\"black\")\n",
    "plt.scatter(heat_offsets, paper_sim_data, label=\"Alternative simulation\", marker=\"D\", color=\"red\")\n",
    "plt.legend()\n",
    "plt.title(\"Offset vs Waveguide temperature change (°C)\")\n",
    "plt.xlabel(\"Heater offset (μm)\")\n",
    "plt.ylabel(\"Waveguide temperature change (°C)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c7c7105b-6302-4d55-88cd-4d3f02d4841e",
   "metadata": {},
   "source": [
    "## Second Setup: Heated Waveguide & Reference Waveguide\n",
    "\n",
    "Here we compare the heat in the center of a reference waveguide due to a heated waveguide translated various distances from the reference waveguide, with the PDK's requirement of 5 μm spacing between waveguides and surrounding silicon. Pant et. al. considered 3 different sets of layer thicknesses."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "4102890d-b48c-4edc-9a7e-46564024a6cc",
   "metadata": {},
   "outputs": [],
   "source": [
    "# create a function that gives the stack with waveguides given their spacing and layer thicknesses\n",
    "wg_width = 0.5\n",
    "\n",
    "# define heater source\n",
    "heat_rate = 16e-3 / heat_thickness / heat_width / heat_length\n",
    "# in the below function we will ensure our heater structure has the name \"heater\"\n",
    "heat_source = td.HeatSource(rate=heat_rate, structures=[\"heater\"])\n",
    "\n",
    "# Add same boundary conditions\n",
    "bc_bottom = td.HeatBoundarySpec(\n",
    "    placement=td.SimulationBoundary(surfaces=[\"z-\"]),\n",
    "    condition=td.TemperatureBC(temperature=300),\n",
    ")\n",
    "\n",
    "\n",
    "def make_stack(dS, si_thick, box_thick, top_thick):\n",
    "    # define stack geometry\n",
    "    inf = 1000\n",
    "    si_spacing = 5\n",
    "    heat_thickness = 0.15\n",
    "    heat_width = 2\n",
    "\n",
    "    # define silicon waveguide and surrounding silicon geometries based on separation distances\n",
    "    si_geos = [\n",
    "        td.Box(center=(-dS / 2, 0, 0), size=(wg_width, inf, si_thick)),\n",
    "        td.Box.from_bounds(\n",
    "            rmin=((dS + wg_width) / 2 + si_spacing, 0, -si_thick / 2), rmax=(inf, inf, si_thick / 2)\n",
    "        ),\n",
    "    ]\n",
    "    geo_group_R = td.GeometryGroup(geometries=si_geos)\n",
    "    geo_group = [geo_group_R.rotated(np.pi, axis=1), geo_group_R]\n",
    "    if dS > 2 * si_spacing + wg_width:\n",
    "        geo_group.append(td.Box(size=(dS - wg_width - 2 * si_spacing, inf, si_thick)))\n",
    "    si_geo = td.GeometryGroup(geometries=geo_group)\n",
    "\n",
    "    # geometry of the buried oxide layer\n",
    "    oxide_geo = td.Box.from_bounds(\n",
    "        rmin=(-inf, -inf, -si_thick / 2 - box_thick), rmax=(inf, inf, si_thick / 2 + top_thick)\n",
    "    )\n",
    "\n",
    "    # geometry of the silicon substrate\n",
    "    si_bottom_geo = td.Box.from_bounds(\n",
    "        rmin=(-inf, -inf, -inf), rmax=(inf, inf, si_thick / 2 - box_thick)\n",
    "    )\n",
    "\n",
    "    # geometry of the heating element\n",
    "    heat_geo = td.Box(\n",
    "        center=(-dS / 2, 0, si_thick / 2 + top_thick + heat_thickness / 2),\n",
    "        size=(heat_width, heat_length, heat_thickness),\n",
    "    )\n",
    "\n",
    "    # add materials to corresponding layer geometries\n",
    "    si = td.Structure(geometry=si_geo.translated(x=-dS / 2, y=0, z=0), medium=Si, name=\"si\")\n",
    "    oxide = td.Structure(geometry=oxide_geo, medium=SiO2, name=\"oxide\")\n",
    "    si_bottom = td.Structure(geometry=si_bottom_geo, medium=Si, name=\"si bottom\")\n",
    "    heater = td.Structure(\n",
    "        geometry=heat_geo.translated(x=-dS / 2, y=0, z=0), medium=TiN, name=\"heater\"\n",
    "    )\n",
    "\n",
    "    # Add mesh\n",
    "    dl_min = heat_thickness / 3\n",
    "    grid_spec = td.DistanceUnstructuredGrid(\n",
    "        dl_interface=dl_min,\n",
    "        dl_bulk=4 * dl_min,\n",
    "        distance_interface=3 * dl_min,\n",
    "        distance_bulk=2 * top_thick,\n",
    "    )\n",
    "\n",
    "    # add symmetry if there is no offset (the reference and heated waveguide are the same)\n",
    "    symmetry = (0, 0, 0)\n",
    "    if dS == 0:\n",
    "        symmetry = (1, 0, 0)\n",
    "\n",
    "    # record temperature at cross-section through the waveguide's center\n",
    "    sim_center_x = -5\n",
    "    if dS == 0:\n",
    "        sim_center_x = 0\n",
    "    sim_size_x = 40\n",
    "    line_monitor = td.TemperatureMonitor(\n",
    "        center=(sim_center_x, 0, 0),\n",
    "        size=(sim_size_x, 0, 0),\n",
    "        name=\"temp_line_profile\",\n",
    "        unstructured=True,\n",
    "    )\n",
    "\n",
    "    # create corresponding heat simulation\n",
    "    sim_padding_z = 1\n",
    "    sim = td.HeatChargeSimulation(\n",
    "        center=(sim_center_x, 0, 0),\n",
    "        size=(sim_size_x, 0, si_thick + box_thick + top_thick + 2 * sim_padding_z),\n",
    "        medium=air,\n",
    "        structures=[si_bottom, oxide, si, heater],\n",
    "        sources=[heat_source],\n",
    "        boundary_spec=[bc_bottom],\n",
    "        monitors=[line_monitor],\n",
    "        grid_spec=grid_spec,\n",
    "        symmetry=symmetry,\n",
    "    )\n",
    "    return sim"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bd2dd192-6054-4537-9afc-490a403e3b77",
   "metadata": {},
   "source": [
    "## Create Batch\n",
    "\n",
    "Here we create a batch of heat simulations for each set of stack thicknesses with each distance between heated and reference waveguides."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "5a24b2b7-4de7-4814-9087-897a75826fc1",
   "metadata": {},
   "outputs": [],
   "source": [
    "dSs = [0, 3, 6, 9]\n",
    "si_thicknesses = [[0.22, 2, 1], [0.34, 2, 1], [0.5, 3, 2]]\n",
    "\n",
    "SOIs = {}\n",
    "for si_profile in si_thicknesses:\n",
    "    for dS in dSs:\n",
    "        SOIs[f\"{si_profile[0]}-{dS}\"] = make_stack(dS, si_profile[0], si_profile[1], si_profile[2])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c85b2161-38b6-4b5c-af4e-c6551eae49d7",
   "metadata": {},
   "source": [
    "Check simulations:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "e5880d96-4db7-4636-a074-dfb9fd9d16ef",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "
"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "transient": {}
    }
   ],
   "source": [
    "fig, ax = plt.subplots(2, 1, tight_layout=True, figsize=(8, 4))\n",
    "\n",
    "SOIs[\"0.22-3\"].plot(y=0, ax=ax[0])\n",
    "ax[0].set_title(\"220nm thick Si, 3 μm distance\")\n",
    "SOIs[\"0.5-9\"].plot(y=0, ax=ax[1])\n",
    "ax[1].set_title(\"500nm thick Si, 9 μm distance\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "636817ae-c920-4a96-afc4-9b4b9c71ef69",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "
0.22-0          → success ━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:08\n",
       "0.22-3          → success ━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:08\n",
       "0.22-6          → success ━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:08\n",
       "0.22-9          → success ━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:08\n",
       "0.34-0          → success ━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:08\n",
       "0.34-3          → success ━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:07\n",
       "0.34-6          → success ━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:07\n",
       "0.34-9          → success ━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:07\n",
       "0.5-0           → success ━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:07\n",
       "0.5-3           → success ━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:07\n",
       "0.5-6           → success ━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:07\n",
       "0.5-9           → success ━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:07\n",
       "
\n"
      ],
      "text/plain": [
       "0.22-0          → \u001b[32msuccess\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[33m0:00:08\u001b[0m\n",
       "0.22-3          → \u001b[32msuccess\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[33m0:00:08\u001b[0m\n",
       "0.22-6          → \u001b[32msuccess\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[33m0:00:08\u001b[0m\n",
       "0.22-9          → \u001b[32msuccess\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[33m0:00:08\u001b[0m\n",
       "0.34-0          → \u001b[32msuccess\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[33m0:00:08\u001b[0m\n",
       "0.34-3          → \u001b[32msuccess\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[33m0:00:07\u001b[0m\n",
       "0.34-6          → \u001b[32msuccess\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[33m0:00:07\u001b[0m\n",
       "0.34-9          → \u001b[32msuccess\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[33m0:00:07\u001b[0m\n",
       "0.5-0           → \u001b[32msuccess\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[33m0:00:07\u001b[0m\n",
       "0.5-3           → \u001b[32msuccess\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[33m0:00:07\u001b[0m\n",
       "0.5-6           → \u001b[32msuccess\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[33m0:00:07\u001b[0m\n",
       "0.5-9           → \u001b[32msuccess\u001b[0m \u001b[38;2;114;156;31m━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m100%\u001b[0m \u001b[33m0:00:07\u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "transient": {}
    },
    {
     "data": {
      "text/html": [
       "
11:19:30 UTC Batch complete.                                                    \n",
       "
\n"
      ],
      "text/plain": [
       "\u001b[2;36m11:19:30 UTC\u001b[0m\u001b[2;36m \u001b[0mBatch complete.                                                    \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "transient": {}
    },
    {
     "data": {
      "text/html": [
       "
\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data",
     "transient": {}
    }
   ],
   "source": [
    "batch_2 = web.Batch(simulations=SOIs)\n",
    "batch_2_data = batch_2.run(path_dir=\"./heat_data/\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "690b2688-fd64-466e-bb2b-5eb6c4f3d50d",
   "metadata": {},
   "source": [
    "## Plot and Compare Data\n",
    "\n",
    "Here we compare our simulation data with the data stored in Dataset 4 from Pant et. al. (This data is available in the linked paper, displayed in figures 8a and 8b). Tidy3D achieves a very accurate alignment with these results. This data captures the discontinuity in medium between the reference waveguide and the cladding near $x=0$. Due to the large number of data points rendered from Pant et. al., we plotted every fifth point so as not to overcrowd the plot with the plotting markers."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "d281d1a5-e12a-4a26-ab8a-171353e609e0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "
11:19:33 UTC WARNING: Warning messages were found in the solver log. For more   \n",
       "             information, check 'SimulationData.log' or use                     \n",
       "             'web.download_log(task_id)'.                                       \n",
       "
\n"
      ],
      "text/plain": [
       "\u001b[2;36m11:19:33 UTC\u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING: Warning messages were found in the solver log. For more   \u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[31minformation, check \u001b[0m\u001b[32m'SimulationData.log'\u001b[0m\u001b[31m or use                     \u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'web.download_log\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m\u001b[31m.                                       \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "transient": {}
    },
    {
     "data": {
      "text/html": [
       "
11:19:34 UTC WARNING: Warning messages were found in the solver log. For more   \n",
       "             information, check 'SimulationData.log' or use                     \n",
       "             'web.download_log(task_id)'.                                       \n",
       "
\n"
      ],
      "text/plain": [
       "\u001b[2;36m11:19:34 UTC\u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING: Warning messages were found in the solver log. For more   \u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[31minformation, check \u001b[0m\u001b[32m'SimulationData.log'\u001b[0m\u001b[31m or use                     \u001b[0m\n",
       "\u001b[2;36m             \u001b[0m\u001b[32m'web.download_log\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m\u001b[31m.                                       \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "transient": {}
    },
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "
"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "transient": {}
    }
   ],
   "source": [
    "import pandas as pd\n",
    "\n",
    "paper_data = pd.read_excel(\"misc/heat_dissipation_SOI.xlsx\")\n",
    "\n",
    "fig, ax = plt.subplots()\n",
    "for dS in dSs:\n",
    "    SOI_data = np.squeeze(batch_2_data[f\"0.22-{dS}\"][\"temp_line_profile\"].temperature - 300)\n",
    "    (line,) = plt.plot(SOI_data.x, SOI_data, label=\"Tidy3D, \" + str(dS) + \"μm-offset\")\n",
    "    coords = paper_data[f\"Distance (um) {dS}um separation\"]\n",
    "    temps = paper_data[f\"Temp. Change (°C) {dS}um separation\"]\n",
    "    plt.scatter(\n",
    "        coords[::5] * 1e6,\n",
    "        temps[::5],\n",
    "        label=\"Paper, \" + str(dS) + \"μm-offset\",\n",
    "        marker=\".\",\n",
    "        color=line.get_color(),\n",
    "    )\n",
    "plt.legend()\n",
    "plt.xlabel(\"Coordinates\")\n",
    "plt.ylabel(\"Heat change (°C)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "02063917-f000-46c4-82e5-7c9ae1dcfed7",
   "metadata": {},
   "source": [
    "Here we plot the percent temperature change between the center of the heated waveguide and the center of the reference waveguide. Using the above data, we can replicate a portion of the data in Figure 8b in Pant et. al."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "id": "cfd7fa27-8900-4fec-9627-2df2cdfbadc0",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "
"
      ]
     },
     "metadata": {},
     "output_type": "display_data",
     "transient": {}
    }
   ],
   "source": [
    "fig, ax = plt.subplots()\n",
    "for si_thickness in si_thicknesses:\n",
    "    thickness_plot = []\n",
    "    paper_plot = []\n",
    "    for dS in dSs:\n",
    "        temp_data = batch_2_data[f\"{si_thickness[0]}-{dS}\"][\"temp_line_profile\"].temperature\n",
    "        t_ref = np.squeeze(temp_data.sel(x=0, method=\"nearest\") - 300)\n",
    "        t_heat = np.squeeze(temp_data.sel(x=-dS, method=\"nearest\") - 300)\n",
    "        thickness_plot.append((t_ref - t_heat) / t_heat * 100)\n",
    "    plt.plot(dSs, thickness_plot, label=str(si_thickness[0]) + \"μm thickness\")\n",
    "plt.axhline(y=-90, color=\"gray\", linestyle=\"--\", label=\"-90% cutoff\")\n",
    "plt.xlabel(\"Separation of waveguides (μm)\")\n",
    "plt.ylabel(\"Temperature change (%)\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "50c1f5f5-20d7-4cff-826a-ef177139f7a1",
   "metadata": {},
   "source": [
    "## Conclusion\n",
    "\n",
    "In this notebook, we achieved close correspondence between published experimental and alternatively simulated thermal crosstalk data, ensuring Tidy3D Heat as an effective tool for determining the effects of heating in photonic devices."
   ]
  }
 ],
 "metadata": {
  "applications": [
   "Active photonic integrated circuit components"
  ],
  "description": "When designing heated devices, it is important to have an understanding of thermal crosstalk in order to inform the spatial layout of your device. In this example we study the effects on silicon waveguides from heating elements spaced at various distances.",
  "feature_image": "./img/heat_dissipation_SOI.png",
  "features": [
   "Heat",
   "Parameter sweep"
  ],
  "kernelspec": {
   "display_name": "td291",
   "language": "python",
   "name": "python3"
  },
  "keywords": "silicon, SOI, Tidy3D, heat",
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.13"
  },
  "title": "How to Model Heat Dissipation and Thermal Crosstalk in SOI Devices in Tidy3D"
 },
 "nbformat": 4,
 "nbformat_minor": 5
}