{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "930d5126-7b04-407c-8963-bbae81a26631",
   "metadata": {},
   "source": [
    "## Lecture 2: Computing the Adjoint Gradient\n",
    "\n",
    "This lecture introduces the mathematics of the adjoint method and implements a simple adjoint gradient in Tidy3D, which is compared against the numerical gradient found via finite differences.\n",
    "\n",
    "We start by importing the packages we need, including Tidy3D."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "4c7cf824-996d-4106-a44d-b29fde7ed853",
   "metadata": {},
   "outputs": [],
   "source": [
    "import matplotlib.pylab as plt\n",
    "import numpy as np\n",
    "\n",
    "import tidy3d as td\n",
    "import tidy3d.web as web"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "462a15b5-b78e-4794-9597-5701b08ee538",
   "metadata": {},
   "source": [
    "## Setup\n",
    "\n",
    "First we set up our toy problem. \n",
    "\n",
    "We assume there is a dielectric rectangle illuminated by a point dipole from the left.\n",
    "\n",
    "We'll also add a monitor to measure the field at a point to the right of the box.\n",
    "\n",
    "Our design objective will be to maximize the electric intensity at this point.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "5fdfba7b-7a6a-420a-a658-8f10989fcf40",
   "metadata": {},
   "outputs": [],
   "source": [
    "wavelength = 2.0  # um\n",
    "freq0 = td.C_0 / wavelength\n",
    "omega0 = 2 * np.pi * freq0\n",
    "fwidth = freq0 / 10\n",
    "\n",
    "# size of simulation domain\n",
    "Lx = 2.5 * wavelength\n",
    "Ly = 2.5 * wavelength\n",
    "\n",
    "# size of rectangle\n",
    "lx = 1.0 * wavelength\n",
    "ly = 1.0 * wavelength\n",
    "\n",
    "# grid size\n",
    "dl = wavelength / 50\n",
    "\n",
    "# relative permittivity of box\n",
    "eps_box = 2.0\n",
    "\n",
    "# x positions of the source and monitor\n",
    "pos_src = -0.4 * (Lx / 2 + lx / 2)\n",
    "pos_mnt = +0.6 * (Lx / 2 + lx / 2)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "1cb2cc6d-694a-42b4-8e55-f9983fd0d68f",
   "metadata": {},
   "outputs": [],
   "source": [
    "# the dielectric box\n",
    "box = td.Structure(\n",
    "    geometry=td.Box(size=(lx, ly, td.inf)),\n",
    "    medium=td.Medium(permittivity=eps_box),\n",
    ")\n",
    "\n",
    "# point dipole source\n",
    "src = td.PointDipole(\n",
    "    center=(pos_src, -0.5, 0),\n",
    "    polarization=\"Ez\",\n",
    "    source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
    ")\n",
    "\n",
    "# monitor to visualize fields in the entire domain\n",
    "mnt = td.FieldMonitor(size=(td.inf, td.inf, 0), freqs=[freq0], name=\"field\", fields=(\"Ez\",))\n",
    "\n",
    "# monitor to specifically measure the fields at the location of the objective\n",
    "mnt_objective = td.FieldMonitor(\n",
    "    size=(0, 0, 0),\n",
    "    center=(pos_mnt, 0.5, 0),\n",
    "    freqs=[freq0],\n",
    "    fields=(\"Ez\",),\n",
    "    name=\"measure\",\n",
    ")\n",
    "\n",
    "# put everything together into a simulation\n",
    "sim = td.Simulation(\n",
    "    size=(Lx, Ly, 0),\n",
    "    structures=[box],\n",
    "    sources=[src],\n",
    "    monitors=[mnt, mnt_objective],\n",
    "    boundary_spec=td.BoundarySpec.pml(x=True, y=True, z=False),\n",
    "    run_time=100.0 / fwidth,\n",
    "    grid_spec=td.GridSpec.uniform(dl=dl),\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "cd3ec16e-a4c6-4ef2-8559-77447a8b0b8b",
   "metadata": {},
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the domain\n",
    "sim.plot(z=0, monitor_alpha=0.1)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "e41a7f14-cb11-409d-8a92-9fa69b48f7cd",
   "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\">11:10:12 CEST </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'orig'</span> with task_id                                  \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-27418f7f-e851-4d50-b4b7-5ad409720969'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>. \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m11:10:12 CEST\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'orig'\u001b[0m with task_id                                  \n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'fdve-27418f7f-e851-4d50-b4b7-5ad409720969'\u001b[0m and task_type \u001b[32m'FDTD'\u001b[0m. \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>View task using web UI at                                         \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-27418f7f-e851-4d50-b4b7-5ad409720969\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-27418f7f-e8</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-27418f7f-e851-4d50-b4b7-5ad409720969\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">51-4d50-b4b7-5ad409720969'</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=578888;https://tidy3d.simulation.cloud/workbench?taskId=fdve-27418f7f-e851-4d50-b4b7-5ad409720969\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=867817;https://tidy3d.simulation.cloud/workbench?taskId=fdve-27418f7f-e851-4d50-b4b7-5ad409720969\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=578888;https://tidy3d.simulation.cloud/workbench?taskId=fdve-27418f7f-e851-4d50-b4b7-5ad409720969\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=356377;https://tidy3d.simulation.cloud/workbench?taskId=fdve-27418f7f-e851-4d50-b4b7-5ad409720969\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=578888;https://tidy3d.simulation.cloud/workbench?taskId=fdve-27418f7f-e851-4d50-b4b7-5ad409720969\u001b\\\u001b[32m-27418f7f-e8\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=578888;https://tidy3d.simulation.cloud/workbench?taskId=fdve-27418f7f-e851-4d50-b4b7-5ad409720969\u001b\\\u001b[32m51-4d50-b4b7-5ad409720969'\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-67bd8a94-83b4-4328-8c4c-35ce784b1563\" 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=267734;https://tidy3d.simulation.cloud/folders/folder-67bd8a94-83b4-4328-8c4c-35ce784b1563\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\.                                           \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "f84c4c17cebd4b97b7e02840d4d74bba",
       "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\">11:10:15 CEST </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.025</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;36m11:10:15 CEST\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.025\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 = success                                                  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m             \u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                  \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "5b8d946e66264a768100ba04d923e181",
       "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\">11:10:17 CEST </span>loading simulation from data/sim_data_orig.hdf5                   \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m11:10:17 CEST\u001b[0m\u001b[2;36m \u001b[0mloading simulation from data/sim_data_orig.hdf5                   \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# run the simulation\n",
    "sim_data = web.run(sim, task_name=\"orig\", path=\"data/sim_data_orig.hdf5\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "d52a0dd8-e052-4668-9a0e-d4009ed6c99e",
   "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 fields\n",
    "sim_data.plot_field(field_monitor_name=\"field\", field_name=\"Ez\", val=\"real\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "db1f792e-1538-415a-a807-64e8fc9763a9",
   "metadata": {},
   "source": [
    "## Objective function\n",
    "\n",
    "Next, we will introduce our objective function, which computes the field intensity at the point to the right of the box.\n",
    "\n",
    "For convenience, we'll package this as two functions that accept the simulation data. \n",
    "\n",
    "This makes it easier when we want to re-compute things later."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "a5dd2f85-85cd-483e-8097-bc2e09d5833e",
   "metadata": {},
   "outputs": [],
   "source": [
    "def measure_amplitude(sim_data: td.SimulationData) -> complex:\n",
    "    \"\"\"How to post process a SimulationData object to give the intensity at the measurement point.\"\"\"\n",
    "    field_data = sim_data[\"measure\"]\n",
    "    ez = field_data.Ez\n",
    "    return complex(ez)\n",
    "\n",
    "\n",
    "def measure_intensity(sim_data: td.SimulationData) -> float:\n",
    "    \"\"\"How to post process a SimulationData object to give our objective function value.\"\"\"\n",
    "    amplitude = measure_amplitude(sim_data)\n",
    "    return abs(amplitude) ** 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "3d68f90c-c337-4379-b543-0a86618491ad",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "intensity = 17001.18068\n"
     ]
    }
   ],
   "source": [
    "print(f\"intensity = {measure_intensity(sim_data):.5f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bbe02938-051f-422b-9779-96c818049287",
   "metadata": {},
   "source": [
    "## Adjoint simulation\n",
    "\n",
    "As mentioned, our adjoint simulation uses a source that is given by the partial derivative of our objective function with respect to the electric fields.\n",
    "\n",
    "Our objective function involves measuring $E_z$ at the `mnt_pos` and then squaring the absolute value.\n",
    "\n",
    "If we write the measurement position as a vector $m$ and $E_z$ as $e$, then our objective can be written as \n",
    "\n",
    "$$ J(e) = |m^T e|^2 = (m^T e) (m^T e)^{*}$$\n",
    "\n",
    "Taking the derivative of $J$ with respect to a design parameter $p$ and respecting the complex-valued nature of $e$ by taking the regular and complex conjugate parts separately, we get:\n",
    "\n",
    "$$ \\frac{dJ}{dp} = \\frac{\\partial J}{\\partial e} \\frac{de}{dp} + \\frac{\\partial J}{\\partial e^*} \\frac{de^*}{dp}\n",
    "= 2 \\mathcal{R} \\{ \\frac{\\partial J}{\\partial e}\\frac{de}{dp} \\} = 2  \\mathcal{R} \\{ m^T (m^T e)^{*} \\frac{de}{dp} \\} $$\n",
    "\n",
    "We identify that our adjoint source $\\frac{\\partial J}{\\partial e}$ is given by $m^T (m^T e)^{*}$.\n",
    "\n",
    "Let's set up the adjoint simulation now, using our `SimulationData` from the forward pass to compute the adjoint source."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "2c426a70-cef0-4c15-98ff-bd625763ab10",
   "metadata": {},
   "outputs": [],
   "source": [
    "# get the \"e\" from our math before\n",
    "forward_amp = measure_amplitude(sim_data)\n",
    "\n",
    "# calculate the complex amplitude of the adjoint source\n",
    "adj_amp_cplx = -1j * np.conj(forward_amp)\n",
    "\n",
    "adj_amp = np.abs(adj_amp_cplx)\n",
    "adj_phase = np.angle(adj_amp_cplx)\n",
    "\n",
    "# source is located where the measurement monitor was, we apply conj(m^T) to the source time dependence\n",
    "# NOTE: the 1 / MU_0 * omega0 amplitude prefactor is used for normalization and is unrelated to the adjoint method\n",
    "src_adj = td.PointDipole(\n",
    "    center=mnt_objective.center,\n",
    "    polarization=\"Ez\",\n",
    "    source_time=td.GaussianPulse(\n",
    "        freq0=freq0,\n",
    "        fwidth=fwidth,\n",
    "        amplitude=adj_amp / (td.MU_0 * omega0),\n",
    "        phase=adj_phase,\n",
    "    ),\n",
    ")\n",
    "\n",
    "# adjoint simulation is the same as original, but only adjoint source, and remove the measurement monitor\n",
    "sim_adj = sim.updated_copy(sources=[src_adj], monitors=[mnt])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "3f7c53fe-dff3-4090-8ce1-ce69c34a57c7",
   "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\">11:10:18 CEST </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'sim_adj'</span> with task_id                               \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-3276889b-c626-4cc1-9fda-9a419c68d0af'</span> and task_type <span style=\"color: #008000; text-decoration-color: #008000\">'FDTD'</span>. \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m11:10:18 CEST\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'sim_adj'\u001b[0m with task_id                               \n",
       "\u001b[2;36m              \u001b[0m\u001b[32m'fdve-3276889b-c626-4cc1-9fda-9a419c68d0af'\u001b[0m and task_type \u001b[32m'FDTD'\u001b[0m. \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span>View task using web UI at                                         \n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-3276889b-c626-4cc1-9fda-9a419c68d0af\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-3276889b-c6</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">              </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-3276889b-c626-4cc1-9fda-9a419c68d0af\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">26-4cc1-9fda-9a419c68d0af'</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=654484;https://tidy3d.simulation.cloud/workbench?taskId=fdve-3276889b-c626-4cc1-9fda-9a419c68d0af\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=352856;https://tidy3d.simulation.cloud/workbench?taskId=fdve-3276889b-c626-4cc1-9fda-9a419c68d0af\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=654484;https://tidy3d.simulation.cloud/workbench?taskId=fdve-3276889b-c626-4cc1-9fda-9a419c68d0af\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=308524;https://tidy3d.simulation.cloud/workbench?taskId=fdve-3276889b-c626-4cc1-9fda-9a419c68d0af\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=654484;https://tidy3d.simulation.cloud/workbench?taskId=fdve-3276889b-c626-4cc1-9fda-9a419c68d0af\u001b\\\u001b[32m-3276889b-c6\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m              \u001b[0m\u001b]8;id=654484;https://tidy3d.simulation.cloud/workbench?taskId=fdve-3276889b-c626-4cc1-9fda-9a419c68d0af\u001b\\\u001b[32m26-4cc1-9fda-9a419c68d0af'\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-67bd8a94-83b4-4328-8c4c-35ce784b1563\" 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=957484;https://tidy3d.simulation.cloud/folders/folder-67bd8a94-83b4-4328-8c4c-35ce784b1563\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\.                                           \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "429940b16fc1458ba365d7a570e2a76f",
       "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\">11:10:20 CEST </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.025</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;36m11:10:20 CEST\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.025\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\">11:10:21 CEST </span>status = success                                                  \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m11:10:21 CEST\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                  \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "53fa8043dd63412dbdd3ea0ef72dc5d4",
       "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\">11:10:22 CEST </span>loading simulation from data/sim_data_adj.hdf5                    \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m11:10:22 CEST\u001b[0m\u001b[2;36m \u001b[0mloading simulation from data/sim_data_adj.hdf5                    \n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_data_adj = web.run(sim_adj, task_name=\"sim_adj\", path=\"data/sim_data_adj.hdf5\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "effe780e-a4e6-4f4a-9f28-0ed2fa8a015e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_data_adj.plot_field(field_monitor_name=\"field\", field_name=\"Ez\", val=\"real\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "99893782-005d-43fc-9030-215f7dd852e9",
   "metadata": {},
   "source": [
    "## Computing the gradient\n",
    "\n",
    "Now that we have our forward and adjoint fields, we can multiply them together to get a map of how the change in permittivity at each point will affect our objective function.\n",
    "\n",
    "In the adjoint-variable method the gradient of a scalar objective $J$ with respect to any design parameter $p$ \n",
    "reduces to:\n",
    "\n",
    "$$\\frac{dJ}{dp} = -2 \\Re \\left\\{ \\mathbf{E}_\\text{fwd} \\, \\frac{dA}{dp} \\, \\mathbf{E}_\\text{adj}\\right\\}$$\n",
    "\n",
    "Here $A$ is the Maxwell operator $A = \\nabla \\times \\nabla \\times - \\omega^2\\mu_0\\epsilon_r$.\n",
    "The prefactor $2 \\Re$ accounts for the complex-conjugate symmetry so that the result is a real-valued\n",
    "sensitivity ready for use in gradient-based optimization.\n",
    "\n",
    "For perturbations that locally change only the relative permittivity $\\epsilon_r$, the derivative of the operator with\n",
    "respect to $p$ is simply\n",
    "\n",
    "$$\\frac{dA}{dp} = -\\omega^2\\mu_0\\frac{d\\epsilon_r}{dp}.$$\n",
    "\n",
    "If we treat $p$ as the value of $\\epsilon_r$ in a voxel ($d\\epsilon_r/dp = 1$), the gradient map that tells us how $J$ changes when we tweak the permittivity at every point is therefore implemented in code as:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "58bd2b1e-91b8-4e17-b81c-cbe13421c61b",
   "metadata": {},
   "outputs": [],
   "source": [
    "e_fwd = sim_data[\"field\"].Ez\n",
    "e_adj = sim_data_adj[\"field\"].Ez\n",
    "\n",
    "dA_deps = -(omega0**2) * td.MU_0 * td.EPSILON_0\n",
    "dJ_deps = -2 * np.real(e_fwd * dA_deps * e_adj)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "7ae26d5b-8ac5-40c7-8d06-8bf645c3b70e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x300 with 6 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "f, (ax1, ax2, ax3) = plt.subplots(1, 3, figsize=(12, 3), tight_layout=True)\n",
    "sim_data.plot_field(field_monitor_name=\"field\", field_name=\"Ez\", val=\"real\", ax=ax1)\n",
    "sim_data_adj.plot_field(field_monitor_name=\"field\", field_name=\"Ez\", val=\"real\", ax=ax2)\n",
    "dJ_deps.squeeze().plot.pcolormesh(x=\"x\", y=\"y\", cmap=\"RdYlGn\", vmin=-1e5, vmax=1e5, ax=ax3)\n",
    "\n",
    "ax1.set_title(\"forward Ez(r)\")\n",
    "ax2.set_title(\"adjoint Ez(r)\")\n",
    "\n",
    "ax3.set_title(r\"$dJ/d\\epsilon(\\mathbf{r})$\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "fe1bebfc-e065-4869-9643-1d97506c1d5b",
   "metadata": {},
   "source": [
    "## Comparison against numerical derivative\n",
    "\n",
    "To test our implementation, let's imagine our box was made up of four quadrants, each with their own individual permittivities $\\epsilon_i$.\n",
    "\n",
    "We will see how the adjoint gradient compares to one computed with finite difference.\n",
    "\n",
    "Let's first set up our boxes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "d62d9d55-6cd2-41cd-90cc-fa064ac09784",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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L6jfMvyP6mC7oxF0oqoQQkmPgDw2juHykfsO8L+wQzPqTE2tQVAkhhBCX4JwqIYQQ4hLsqRJCCCEuQVElhBBCXILBH0yCiDgIRYYcjgxATQghxYOmaSqEJIK2pEvIASiqJoGg/va3vxW/Pzu3LDEQtjEEml6pCICdzSlwXJvx+hAKL9dT7nhhMabVgpViYkjCXIBQcvofD16oEKYv17A+YrA++ijm+vD5fCrSl96pwfGNHRycRzbrA9Hivvzyy4yJECiqJkEPFX9QlRXlUmIz+0c6IpHeqJBCYEtLDW9DmqYellFbj5DS0uxVWa+myabNfXFcy8oCUldTJfmgubVdenr64rIOHlQnJXkYGegJhaW5pc+HsK62WsoCuf9TYX3EYH3EKNb6iETCsnFzc5+Q+nyqTQyFYi8UFRWxHMNu0/tt2wwdyARF1STRt6PSUgn43RXVcDgivb2R6DHw2V9aIv5vj9Pbq6m3sGCwXMrKslNl+P1Njc0SCPglGAxIV1e3RHojUlOd24ajta1dXX91NfJbhqSzq0sGN9RlHHJxEzRYTS1tUlFepr53dHZJZUWdakhzBesjBusjRjHXR09PWEpKWqPX2t3dA20Vn69E1U9vBG1kds5BT71gZuqPhkp5BoLaEwqJT3xSHixTCz5jHbblssEIhSIyZFCd+iOtramSltZ29UecK3AsHBPHxjngXHBOODenOTytNBh4Gw4ESmXI4Hq14DPW6b2DbMP6iMH6iMH66AM9VAiqJpqUBQJK3P2lpRKORNSLRr6hqHpEUINBzFH41BLMobAmNhj62ybewHPZcBgbDP3tH+eSy4bD2GDob/9Y8DlXDQfrIwbrIwbrIzYE390TigqqPpqHHqpXhJWi6iFB1UkUVsy35rLB0MlVw5GswdDJVcORrMHQyVXDwfqIwfqIwfqQ6DRYJBxRPVWjoOp4RVgpqh4T1FTCigcqlw1GrhqOdA1GrhqOdA1GrhoO1kcM1kcM1kcfuKamlhaVJzCZoHpJWCmqHhTUfsLq86mHxGjplosGI9sNh5kGI9sNh5kGI9sNB+sjBusjBusjvj7QdvoTPSM8KKwUVY8KapywlgUEJRubWxw/qFYbjGw1HFYajGw1HFYajGw1HKyPGKyPGKyP/vXRUFdrqs3MhrCGLXRoKKoWgP+oXediO4Kqg55qqb9UDXk4eVDtNhhuNxx2Ggy3Gw47DYbbDQfrIwbrIwbrI3l9wJ3JCm4JK/aFgZRZKKoWwRCs1flNJ4KqAwfv+tpa2w+q0wbDrYbDSYPhVsPhpMFwq+FgfcRgfcRgfbhbH06FFftgXysBNiiqFtAfTvhImRVWNwRVB/vaeVDdekCdNhxuNBhOGw43GgynDQfrIwbrIwbrIzv1YVdYdUHFvn4LvWSKqgUw9IshWPhImRFWNwXV7oPq9gNqt+Fws8Gw23C42WDosD5isD5isD68VR9WhdUoqFajNFFUbTwkMOnOJKzZEFSrD2q2HlCrDUc2GgyrDUc2Ggwd1kcM1kcM1oe36sOssDoRVEBRtQF6q+mENZuCavZBzfYDarbhyGaDYbbhyGaDocP6iMH6iMH68FZ9ZBJWp4IKKKouC2suBDXTg5qrBzRTw5GLBiNTw5GLBkOH9RGD9RGD9eGt+kglrG4IKqCouiisuRTUVA8qziOXD2iqhiOXDUaqhgP3IlcNhg7rIwbrIwbrw1v1kSisbgkqoKi6JKx6oGfJoaAmPqhIF7dxc5N6A8zlA5qs4ch1g5HYcPS9gTepe5Lr1FisjxisjxisD2/Vh1FY3RJUQFElhBBCXIKi6hB9yBfOwQgnKCbdbdwkGhsz0itDBtWrN75c5jfUMQ5p5SPfpHGOqO+NvF7dk1zmmwSsjxisjxisD2/VR5wfqoshDSmqDkicQ81kFZwNEif5cR65zG+okzhHlOt8k8mMLnAvcp3ImfURg/URg/XhrfpInEN1M1YwRdUmqYyScimsqazmcp04OJXRRS4bjlRWjLlM5Mz6iMH6iMH68FZ9pDJKcktYKao2yGTlmwthzWSGnqsHNZMVYy4ajkxuAbloOFgfMVgfMVgf3qqPTFa+bggrRdXGw2HGbSabwmrWryvbD6pZt4BsNhxm/eyy2XCwPmKwPmKwPrxVH2bdZpwKK0XVAipZeDhi2g81G8Jq1VE6Ww+qVT+7bDQcVh3Xs9FwsD5isD5isD68VR9W/VCdCCtF1QL6Q2nFD9VNYcW+dhyl3X5Q7Tquu9lw2I0E42bDYTcSDOsjBusjBusjO/VhN7BDnB8rk5RnDyTKtRrYwQ1hRXCJppYW25FH3HpQnUaCcaPhcBpazY2Gw2loNdZHDNZHDNaHu/XhNFKSLqxMUp4lIpGIGgK2gxNhRcq5SDiihp6dRB5x+qC6FVrNScPhVqxSJw2HW7FKWR8xWB8xWB/J6yNkobcI3Ao9iH2ZpNyj2BFWlEH4Q5RsqKt1HMrLbsPhdqxSOw2H28G/7TQcbgf/Zn3EYH3EYH30r4/G5hbTnRE3Y/kCJikfIMKqBLW7py85emmpGnp2A6sNR7aCf1tpOLKVTcNKw5GtbBqsjxisjxisj4RYwf6++c1IpDengmoVd1rpIgIC59QqDnOyAb9fekJh6erqlrIyGD7Fl8Ehenp6VA8VZTH6EAqHRXzuuebUVldJY3OrrN/YKA31NUlFu729U9raO6S6qlIZaMGdyE3wm5XhiDQ1t6rh7aqqin5lMOzT2NSq/qhwzviDESxu4ROpq61Sx1D3oq5GfAnz5lqvpu4VzhH3Cvu4fS9YH9/C+ojC+ohRVVkpra3t3/6uJqWl/V8cenrCEuntldKSEvWC4ZZrENp9s1BUrd5Yra8H6RTMzUIs8QcQCofEX9onnH3HEQlHIKA+CZSWqge0LwtOj0QipeImFeVBJe5oHPBmaXzDDYfDEsIfcmWFlJaWSldXj2QD/DaOgfPQ2jrE7/fH+wX3hFTjUhbwf5sJKDtUV1WoY7W0dahj6fPnqHecG+ZVUAZvypFIdu4F6yMG66MP1kcfaCtLSktU+4v7jnbSaDSK7bgfEFtlXORm0B0LP0VRtUBTU5Nsu9UIKa8IuvabxrdMvAGCvje+0ujbMcpgSOOwg/eTutpq145NCCGFQnNLmyx64TUpK/NLW3tntFeMNjI6YlBfmbQ375Suzm7TZSmqFsBbEN4SMSfqFvgt9FgxH4KHpu84mmwxpCFuTgJvfxDUQQ21rh2bEEIKzialLCBbVJSr+dvmlnY1b4pptPq6mqzlpw2HzA+n01DJA+AhGdxQq+ZMseBzrhP2EkJIoVDyrfGSpvUqQS0vD+Y84XsqKKoe6QG3GKz78DmX+Q0JIaTQaO/ojH7G9Fiu87GmgqKaZ4xm6EMHN6gll/kNCSGk0Gg1uDGNGDYk5/lY00FRzSPJ/Lpymd+QEEIKjfb2zji/4FznY80ERTVPpHOUThRW+IARQkixEw6HlZVvYqANLwkrRTUPmIk8YhRWuNhYcT4mhJCBSCgcUYE2khkleUVYKao5xkooL11Y4Y8F52pCCClmAv7StH6oXhBWimoOsRMbE2Xg4KxxbpUQUuT4DdGkcimsGHY2C0XV5QrNRrBpRAyh3yohhJjDTWHFvs2tbeaPbftIRSqqHZ1dlvdzI3uDW1knCCGkGChxQVj17D+Iv2z6uJaPUsRgCKC9o8tS4uBspUMihBCSPWE1ptOrrTEfc52ialFUqyrLTScOpqASQkjhCWu//LR6CjEzx3N4vkVHZUW5qcTBFFRCCCk8YXWa8J2iagP4SKUTVgoqIYQUnrA6FVR1HJfOt+hIJawUVEIIKTxhdUNQ1TFcPF8pdmGloBJCSOEJq1uCCpik3CF6uCwIKxafr4SCSgghBSCs6ARt2NRoyGvtTFDVb7t0jkVNVWUsbBay0FNQCSHE20A8aw0xhPHZjXgAFFWH6EO+6KEi+zyy0FvxYyWEEJJ7MOS7qbFFAn6/WvDZjZCGHP51QLI5VD15LkiWSYEQQkh+SZxDBWjLsc7p9B17qjZJZZSUyd2GEEJI/khmlORmrGCKqg0yWflSWAkhxHuks/J1S1gpqhbp1TRTbjMUVkII8Q5m3GbcEFaKqkVaWttM+6FSWAkhJP9Y8UN1KqwUVQuUlZVJJGItsAOFlRBC8oedwA6JwlrQScrnzp0r48aNk5qaGtliiy3kyCOPlE8++STjfgsWLJAdd9xRysvLZdddd5VFixbFbdc0TWbPni0jRoyQiooKmThxoqxatcrSueFG19VUW7YMo7ASQkjucRIpySisBZ2k/OWXX5Zzzz1X3nzzTVmyZImEQiE55JBDpL09tRi9/vrrMm3aNDnttNNk5cqVSoixfPDBB9EyN954o9x5550yb948eeutt6SqqkomTZokXV3mk453d3erROV2cCqsVt6UCCGk2OlxIzj+t8JqJUm5T0MXzsNs2LBB9Vghtj/84Q+Tlpk6daoS3eeeey66bp999pExY8YoEcUljhw5Un7xi1/IL3/5S7W9ublZhg0bJg8//LAcf/zxGc+jpaVFLrnkEhm35+5SWVlu+3p0P1YIrFk/1samFukJhWX6cZNlUEOt7WMTQkihsrmxRZ54ZolUVASlLJB+tNDNWL6grb1TzjzrXKUbtbW1hdVTTQQXAQYNGpSyzBtvvKGGc42gF4r1YPXq1bJ27dq4MnV1dTJ+/PhomVxhtceKMm3tHRLwm39TIoSQgUhPKCxar5ZTQQVWkpT7ve4PeuGFF8p+++0nu+yyS8pyEEz0Oo3gO9br2/V1qcokG+rFYuypZiMIv/F7ql5tdVWlpeEHQggZiGi9vdLY3CpbDGlIKpbZEFSreLqnirlVzIvOnz8/LwZT6M3qy9Zbb53THqtxmLiqKhawnxBCipWysoCEwxEVKwCdLq8JqqdF9bzzzlNzpC+99JJstdVWacsOHz5c1q1bF7cO37Fe366vS1UmkZkzZ6qhZ3358ssvxW1SCaudeVdCCBnolJSUSEN9jYoVYBRWrwiqOkfxGDAqgqA+/fTT8uKLL8ro0aMz7jNhwgRZunRp3DpYDmM9wG9API1lMJwLK2C9TCLBYFBNSBuXbJAorBRUQghJTSDgV7ECdGHt7u7xjKB6ck4VQ76PPvqoPPPMM8pXVZ/zxBAs/EvB9OnTZcstt1RDtOCCCy6QAw44QG655RaZPHmyGi5esWKF3HfffWq7z+dTc7PXXHONbL/99kpkZ82apSyC4XqTbxLnWCmohBCSfhgYwooE4xs3N6nUbV4QVE+K6r333qv+P/DAA+PWP/TQQ3LKKaeoz1988UXczdt3332VEF9xxRXy61//WgnnwoUL44yb4A4Dt5szzzxTmpqaZP/995fFixerYBGEEELIgBRVM26zy5Yt67fu2GOPVUsq0Fu96qqr1OI1jEO+gPlYCSEkNfocKnqstdVVKsE4hoK90Fv1nKgWG6nmUCmshBDSn1AoLM0t7XFzqBgKhsh6QVjzPwBdxKQSVMYKJoSQ/sDat7GptZ9Rkj7HmmgVnA8oqnkik5WvUVjb2zvzco6EEOK1YV+/P7mVr1eElaKaB8y6zejCijCFDKhPCCl2fPBTratJObzrBWGlqOYYq36oKIMwhaFwJCfnRwghXqUs4BdfSfo4vNkQ1l4LeWcoqhaABbET7AZ2QJhCBtQnhBQ7PpNtsJvCin1bCjmfqpdBlCW7w7BOIyXZzeNKCCHFSJkLwop9sG8kYn6kkKJq8QYjAzwmy63A0IOEEFJYwqoLKvatq6k2vR9F1QI9PT0qBRv8ocwKKwWVEEIKS1iNgop9rYwUUlQtUltTrXykzAgrBZUQQgpLWBMFFftagaJqIwM8fKQyCSsFlRBCCktYnQoqoKjaAD5S6YSVgkoIIYUlrG4IKqCouiysFFRCCCksYXVLUAH9NFwQVlQGhDUYDEhXVzcFlRBCCkBY0W5v3NSk1oUjvY4FFbCn6pKwalqvEtTy8iAFlRBCPA7Ec3BDrYTCYbXgs1NBBRRVF2jviAW87+4OWfZjJYQQkltUpCRDFjB8diOkIUXVIcY51BHDhph2tyGEEJIfjHOoQwc3qMWtWMEUVQckGiVlsgomhBCSX5IZJbkZK5iiapNUVr4UVkII8SbprHzdElaKqg0yuc1QWAkhxFuYcZtxQ1gpqhbp6Owy5YdKYSWEEG9gxQ/VqbBSVC2AoMrtHV2m/VAprIQQkl/sBHboJ6xMUp49Ua2qLLfkh0phJYSQ/OAkUpJRWJmkPEsgQXllRbnl/dwQVjf8pwghpFjodSH0oC6sTFKeRVG1ixNhDYXC7OESQohJ3Izli32ZpNyj2BFWlGlsahVfCauKEFLchE10bNwUVB0mKR8gwoptKOP3l0pZgLkPCCHFTSgckfb2WFjYXAiqVSiqHhVWXVBRpqGuRnw+X17OlRBCvELAXypt7R0qVoAXBRVQVD0orEZBRRlfCQWVEEL8fr9UV1WqWAFGYfWKoAKKqseENVFQUYYQQkgfVVUVKlaALqxeElTAiToPJTrfsKnRkOePgkoIIcnQYwVAWLH4fCWeEFTAVtsDQDxrDQEl8JmCSgghqamqrIh+Dgb7Ms14AbbcHgBDvpsaWyTg96sFn+mXSgghydGHfNFDLS8PSldXd1LjpXzA4d88kziHCvCwYJ1XhjMIIcQraL2abGqJn0PVM4cBK2FkswF7qnkkmVESYwUTQkhyNE2TxubWfkZJEFKj8VI+oajmiXRWvonCijCFhBBS7PSEwhIOJ7fy9YqwUlTzgBm3GaOwIkwhA+oTQoodrbdXGuprUk6LeUFYKao5xoofqi6sCFPIYWBCSLFTVhaQQIaQrfkWVhoq5RA7gR1QBmEKW9o6cnKOhBDiVUpMuhoa/ViN3+3S0dlluixF1QJlZWWWMsAbcRIpCWEKGVCfEELM45aworfb3kFRzQoQQmSAr6wIWhJFN0IPMqA+IYTkVlh1V52qynLT+1BULdDd3a0ywMOP1Kw4MpYvIYQUnrDqgor52dKSUtPHYwtv0UcKGeDhIwVhzWSRS0ElhJD8Y9V4ySioVnu3bOVtpB6Cj1QmYaWgEkJI4QmrE0EFbOltmnWnE1YKKiGEFJ6wOhVUwNbeZWGloBJCSOEJqxuCCmio5IKwQkQhrEjZprLNUFAJIaRgjJf0z04FFVBUXRJWJBjfuLlJpW6joBJCSGEJqxuCCtjyE0IIIS5BUXWIPofa12Otl3CkL3kuA+ATQoh3Mc6huhkrmKLqgESjpGCwzJS7DSGEkPyRaJTkZhB+iqpNUln5ZnK3IYQQkj9SWfm6JawUVRtkcpuhsBJCiPfI5DbjhrBSVC0SDodN+aFSWAkhxDuY9UN1KqyeE9VXXnlFDj/8cBk5cqTKzLJw4cKM+yxbtkz23HNPCQaDst1228nDDz/cr8zdd98to0aNkvLychk/fry8/fbbls8N59Pc2mbaD5XCSggh+cdqYAcnwuo5UW1vb5fdd99diaAZVq9eLZMnT5aDDjpI3nvvPbnwwgvl9NNPl7/97W/RMo8//rhcfPHFMmfOHHn33XfV70+aNEnWr19v6dwg2qWl1gI7UFgJISR/2I2UZBTWgk5S/uMf/1gtZpk3b56MHj1abrnlFvV9p512kldffVVuu+02JZzg1ltvlTPOOENOPfXU6D7PP/+8PPjgg3LZZZeZPhYEsbam2nJgh8TIS3aCQyBDDiGEEPM4DT2o77O5sbVwe6pWeeONN2TixIlx6yCmWA96enrknXfeiSsDQcN3vUyq3KktLS1xC36rxGaycCc9Vq1Xk55Q2NZxCSGkGGl1KZYv9i2qJOVr166VYcOGxa3Dd4hgZ2enNDY2qsTiycp8/PHHKX937ty5cuWVV8atmzFjhqNztdNjhfg2NrfaFnPiHpfNX57vUyB55vrjf5DvUyhqek12RtwSVJ3KivLi6almi5kzZ0pzc3N0+fLLL135XSs9VmxDmXA4ovYjhJBid2cMZRi1c1tQrVLwPdXhw4fLunXr4tbhe21trVRUVCjDIizJymDfdEZJWLKBmR6rLqgQ34b6GolEaOBECClufCUl0tjUqhKXJOto5FtQB0RPdcKECbJ06dK4dUuWLFHrQVlZmYwdOzauDAQL3/Uy+SBdj9UoqCgTCBT8uw8hhDimLOAXv79UdUjQa/WaoHpSVNva2pRrDBbdZQafv/jii+iw7PTp06PlzzrrLPnss8/kkksuUXOk99xzjzzxxBNy0UUXRcvAneZ3v/ud/P73v5ePPvpIzj77bOW6o1sDe0lYEwWVw76EEBKLFdBQV6NiBRiF1SuCCjzXBVqxYoXyOTUKIjj55JNVUIdvvvkmKrAA7jRwj4GI3nHHHbLVVlvJ/fffH3WnAVOnTpUNGzbI7NmzlWHTmDFjZPHixf2Ml/KBcSh446YmtQ6ZbiiohBDSH1+JT02ZofOBdjMYDEhXV7cnBNWTonrggQem9clMFi0J+6xcuTLt75533nlq8SIQz8ENtSrJOUAKOQoqIYQkBzYoENZv1m1UglpeHvSEoHpy+LcYwZBviyEUFj4z8hIhhKSmvaMz+rm7O9RvjjVfUFTzjHEOdejgBrUwpCEhhKTGOIc6YtiQfnOs+YSimkeSGSUxVjAhhKSmvb0zzihJHwr2irBSVPNEOivfRGFFmEJCCCl2wuGwtLV39DNK8pKwUlTzgBm3GaOwIkwhA+oTQoqdUDgi1VWVSY2SvCKsFNUcY8UPVRdWhClkQH1CSLET8JdKVVVFyu1eEFaKag6xE9gBZRCmUOPcKiGkyPH7M3uBZkNYMexsFoqqyxWaCieRkhCmkH6rhBBiDjeFFfs2t7aZLk9RtSiqVjLA67gRetBqUnNCCClmSlwQVuyDfZGUxfRxLR+liMEQQHtHl/KRMgtj+RJCSOEJqy6o2Le2ptr8MW2ea9GKKjLAw0fKjLBSUAkhpPCE1SioKjWnz2f+eA7Pt+hABnj4SGUSVgoqIYQUnrD2E1SLU28UVRvARyqdsFJQCSGk8ITVqaCq47h0vkVHKmGloBJCSOEJqxuCqo7h4vlKsQsrBZUQQgpPWN0SVE/mUy009HBZEFYsPl8JBZUQQgpAWNEJ2rCp0ZDX2pmgqt926RyLmqrKWNgsZKGnoBJCiLeBeNYaYgjjsxvxACiqDtGHfNFDRfZ5ZKG34sdKCCEk92DId1NjiwT8frXgsxshDTn864Bkc6h68lyQLJMCIYSQ/JI4hwrQlmOd0+k79lRtksooKZO7DSGEkPyRzCjJzVjB7KnaIJOVr9F4yfidEEIGHFpEZONbIt3rRYJbiAwZL+IzHys3l6Sz8jUaLznpsVJULdKraabcZiishJABz9eLRP5vtkjXN7F15SNEdrtKZORh4iXMuM24Iawc/rVIS2ubaT9UDgUTQga0oL59Zryggq61feux3SNY8UN1OhRMUbVAWVmZRCLWAjtQWAkhA3LIFz1U0ZJtFMX7c/rK5Rk7gR0ShZVJyrMEbnRdTbXl4QAKKyFkQIE51MQeahyaSOfXfeXyiJNISUZhZZLyLNHd3a0SldvBqbBaeVMihJCsAqMkN8tlAVeC438rrFaSlNNQyQKalmyowzx2jZfa2zslFM7/MAohhChg5etmOZfbYDdj+arIS0xS7l2s9lhRpq29QwJ+b5qoE0KKELjNwMpXUiXv9olUjOwr5yI9obBovVrOBFWHScoHiLDq0ZmqqyptDzsTQojrwA8VbjN9XxI3imLXK133V9V6e6WxuVXFCsiVoFqFoupRYdUFFWWqqmIB+wkhxBPAD3Xv+0TKh8evrxjRtz4LfqowEg2HI8qPNFFYvSCogN2fPJJqjtUoqFjXE3Ie5JkQQlwHwjliUs4iKpWUlEhDfY00t7QrYdXF0yuCCiiqHhNW/bMuqIQQ4mkgoEP3zdnhAgG/ihUAEYWwImWbyjbjAUEFFFUPCisFlRBC0g8DQ1iRYHzj5iaVus0LggryfwaEEELIAIGi6gGMc6iMvEQIIenR51D7eqz1Eo70ZQ5LZRWcSzj8m2cSjZJ0mN2GEEL6EwqFlaGScQ7VOMea72Fgy6K6evVqWb58uaxZs0Y6Ojpk6NChsscee8iECROkvLw8O2dZZIKaOMcaDJbl7RwJIcQr9Pb2qnYxGAzEiac+x+oFYTUtqo888ojccccdsmLFChk2bJiMHDlSKioqZPPmzfLpp58qQT3hhBPk0ksvlW233Ta7Zz2ABTWZsFaGI5ZiTxJCyEAd9vX7k1v5ekVYTYkqeqJIe3bKKafIn//8Z9l66637BZp/4403ZP78+bLXXnvJPffcI8cee2y2znnAC6qOvq2puVWqKhkAghBS3Pjgp1pdmVIsvSCspkT1+uuvl0mTJqXcHgwG5cADD1TLtddeK59//rmb51iUgqqDMogggpiXhBBSzJQF/OIrSR+HNxvC2mshmYqpI6UT1EQGDx4sY8eOlYGIz0JQZTcEVQdhChlQnxBS7PhMtsG6sIZCyUMaWp/Hbcu+9e/69evVkniyu+22mwxU0CO3m9fUrqDqMKA+IYSYx40eK/QN+0Yi5lNvWm6p33nnHTn55JPlo48+iua2w9sDPuN/KwcvNHCDkQG+vDyoKixXgkoIISS3wqoLKnq7dRbyqVoW1Z/97Geyww47yAMPPKCsgJ0OiRYSPT09ygoXFYSKMiOsFFRCCCksYTUKKvaFXUvWRPWzzz5TFsDbbbedFCPIAN/Z1WVKWCmohBBSWMKaKKh6ujmzWDaJOvjgg+Wf//ynFCvIAI8KQTQPVBD8ppJBQSWEEO9gxngpmaBaxXJP9f7771dzqh988IHssssuEgjEH3TKlCky0MEbDoQVNz9Zj5WCSgghhdVjdUNQbYkqgjy89tpr8te//rXftoFuqGRGWCmohBBSWMIK3BBUW8O/559/vpx44onyzTffKGU3LsUiqInCqg8Fo1IoqIQQUjhDwRs3NanFDUG1JaqbNm2Siy66SFn+kpiwalqvdHV1K3cbCiohhHgbiOfghloJhcNqwWengmpLVI8++mh56aWXHB94INHe0Rn93N0dSmm8RAghxBuoSEmGvNX47EY+VstzqvBRnTlzprz66quy66679jNU+vnPfy7FhHEOFUHvUxkvEUII8QZGo6ShgxvUOrdiBduy/q2urpaXX35ZLYmGSsUkqsmMktJZBRNCCMkvqax83QrCX2InSXmqBYEh3ODuu++WUaNGqRyt48ePl7fffjtt+QULFsiOO+6oyqP3vGjRorjtCKE4e/ZsGTFihMoBO3HiRFm1apWjc0xl5ZtovMShYEII8Qbp3GbcCsLvWqI5WAPfeOONjn/n8ccfl4svvljmzJkj7777ruy+++4qSw6C9yfj9ddfl2nTpslpp50mK1eulCOPPFIt8KPVwXndeeedMm/ePHnrrbekqqpK/WZXV5etc8zkNkNhJYQQb2HGD9UNYfVpelR8C7F/k7FmzRrVo2xtbRUnoGc6btw4ueuuu9R3XBSSosOV57LLLutXfurUqdLe3i7PPfdcdN0+++wjY8aMUSKKyxs5cqT84he/kF/+8pdqe3Nzs7Jefvjhh+X44483dV4tLS1yySWXyPd3+p509/SYcptxy5m4JxSSrq4eOXbKRBnUUGvrN4hzLpu/PN+nQPLM9cf/IN+nULRsbmyRBc++IOXlZVKWYMuTCattMTpC6BChY4QOEtrf02eco7SjtrbW3Z5qY2Nj3LJx40YlpsuWLZObb75ZnAasRxYcDM9GT7CkRH1H0IlkYL2xPEAvVC+PYem1a9fGlamrq1Pineo306Vfa+/oMu2Hyh4rIYTkFzudm349Vgt9T8uGSk8//XTS9ddee60sXLhQZsyYIXaBQCOARKIPLL5//PHHSfeBYCYrj/X6dn1dqjLJ6O7uVouxpwpRraost+SHmimkISGEkOzgZLTQGHkpFGrL/Zwq5jXRWx0ozJ07V/Vo9QVD0EhQXllRbvm33OixuuE/RQghxUKvC9NvurBaiRbomqgic80ee+zh6DeGDBmi8pWuW7cubj2+Dx8+POk+WJ+uvP6/ld8E8MXF+Lm+fPnll0pU7eJEWEOhMIeOCSHEJG7ZswDsm9Uk5bDMTQQC9cwzz8jkyZPjtt96662WfrusrEzGjh0rS5cuVRa8+s3B9/POOy/pPhMmTFDbL7zwwui6JUuWqPVg9OjRSjxRBsZL+lAurIDPPvvslOcSDAbV4iZ2hoIhpo1NrRIMlrl6LoQQUmiEVcemLGeCqoOpP9Nlrf443FaSAYtduL3ori8IBGEHiDJSy+21116y9957y+23366se0899VS1ffr06bLllluq4VlwwQUXyAEHHCC33HKLEvX58+fLihUr5L777oueBwT3mmuuke23316J7KxZs5RFsC7cucSKsOoWaH5/qZQFLFcVIYQMKELhiLS3d0pZfSBngmoVyy11tuP+wkVmw4YNKlgDDInQu1y8eHHU0OiLL76Ii3Sx7777yqOPPipXXHGF/PrXv1bCCYMp5HrVgSsMhPnMM8+UpqYm2X///dVvIlhEPjAjrEaT7trqKunm8C8hpMgJ+Eulrb1DdTQSDUa9IKi2/FSLFd1Pddyeu0tlpTtinOohSPSRCkci9FP1APRTJfRTzb+faiQSkY7OeNfGbAtqR0eXu36qhx56qLz55psZyyHwww033KDCDBJ7xkuJguoksDMhhAw0qqoqlKAiqh2i23mlh2pp+PfYY4+VY445RrmWHH744Wq+E3OSGD5FAIgPP/xQZa1BzF3Ma950003ZP/MBgnEoeMOmRkOePwoqIYQkQ++hQlix+HwlnhBU06KKuLonnniiClyP2LwwAkI3WDcE2nnnnVUUo3/84x+y0047ZfucBxwQT8ybbtzcpL7jMwWVEEJSg1SbEFQQDAY8IaiWDJXgXgJhxQIgqp2dnTJ48OB+OVWJNTDku6mxRQLfmm3js1feugghxGv0fjvkix4qBLWrq1sNBVuJdpctbPtp6JGGiDMS51ABQxoSQkhytF5NNrXEz6HqmcNAvoWVY4x5JJlREoPwE0JIcuCs0tjc2s8oCUJqNF7KJxTVPJHOyjdRWBGmkBBCip2eUFjC4eRWvl4RVopqHjDjNmMUVoQpZEB9Qkixo/X2SkN9TcppMS8IK0U1x1jxQ9WFFdFDOAxMCCl2ysoCEsgQsjXfwmpZVBGX95VXXsnO2Qxw7AR2QJmGuhrx0cWGEFLklJhsB90WVkRwMovllhquNBMnTlQxdq+77jr56quvpFhAFh0rGeCNOImU5CvxMaA+IYRYwC1hxb7tHVkUVQSrh5AibRoCQYwaNUp+/OMfy5NPPimh0MAeooQQtrS2WZ7fdCP0oN2sP4QQUqzUOBRW3VWnykK8d1tjikOHDlUp2pCYHHlJt9tuOznppJNU6MKLLrpIVq1aJQOR7u5uFcwZfqRmhZWxfAkhpPCEVRdU7FtZkWVR1fnmm29UQnAspaWlcthhh8n777+vwhbedtttMhB9pJABHj5SZoSVgkoIIYUnrEZBtRpMwnIrjyHeP//5z/KTn/xEtt12WxUPGEnAv/76a/n9738vL7zwgjzxxBNy1VVXyUAEGeDhI5VJWCmohBBSeMLqRFCBZeuXESNGKCGZNm2avP322yqJeCIHHXSQ1NfXy0A264awQjQhrImiSUElhBBvZ7cxfndLUG2JKoZ1kQoOad9SAUFdvXq1DGRSCSsFlRBCCk9Y3RBUW6IKgySSXFiRsk1lm6GgEkJIwQir/tmpoAI6P7okrEgwjnyoSN9GQSWEkMISVjcEFbDlJ4QQQlyCouoQfQ61r8daL+FIX/JcBsAnhBDvYpxDdTOkIYd/HZDMKCmdVTBxl4gWkQ86PpDNoc0yKDBIdqncRUp9pfk+LUKIx0lllORGonOKqk1SWflmcrch7vBq86ty7zf3ysbQxui6IYEhcvaIs2X/uv3zem6EkMIT1EzuNmZha2+DTG4zurCajbxErAvq1V9cHSeoAN+xHtsJISSRTG4zbgThp6haJBwOm/JDpbBmb8gXPdR0zPtmnipHCCE6Zv1QnQorRdVippjm1jbTfqgUVvfBHGpiDzWRDaENqhwhhNgJ7OBEWCmqFggGgypxgJV5Ugqru8Aoyc1yhJCBTavNSElGYc1qkvJiBoJYW1Nt2fDIDWFFhhwiysrXzXKEkIFLq8PQg7qwZjVJeTHT09MjJTaThTsRVq1Xk55Q2NZxBxpwm4GVbzqGBoaqcoSQ4qXVpVi+2DfrScqJ5ExYUaaxuVU0Dhsr4IcKt5lU+MQnZ404i/6qhAxAek22g24Jqk7OkpST7AortqFMOBxR+5E+4Ic6a5tZ/Xqs6KFesc0V9FMlZAC7M4YyjNq5LahWYfCHPGAmQIQuqBDfhvoaiUTYUzUC4ZxQO4ERlQgpInwlJdLY1KoSlyTraORbUAFF1YPCahRUlBGfSCTSk+9T9hwQ0N2rds/3aRBCckRZwC+RSES1m2gbjcLqBUEFHP712FBwoqBy2JcQQmKxAhrqalSsAAgrhoO9JKiAPVUP9Vg3bmpS65DphoJKCCH98ZX41MgeOh9oN4PBgHR1dXtCUAF7qh4A4jm4oVZC4bBa8JmCSgghycFUGYRV03qVoJaXBz0hqICi6gEw5NtiCIWFz4y8RAghqWnv6Ix+7u4ORYeC8w1FNc8Y51CHDm5QC0MaEkJIaoxzqCOGDek3x5pPKKp5JJlREmMFE0JIatrbO+OMkvShYK8IK0U1T6Sz8k0UVoQpJISQYiccDktbe0c/oyQvCStFNQ+YcZsxCqsKU8iA+oSQIicUjkh1VWVSoySvCCtFNcdY8UPVhRVhChlQnxBS7AT8pVJVVZFyuxeElaKaQ+wEdkAZhClkQH1CSLHj92cOrZANYcWws1koqi5XaCqcREoKBJLHuSSEEJJdYcW+za1tpstTVC2KqpUM8DpuhB60mhidEEKKmRIXhBX7YN/SUvOJOthSWxwCQAZ4+EiZhbF8CSGk8IRVF1TsW1tTbf6YNs+1aEUVGeDhI2VGWCmohBBSeMJqFFSVQcznM388h+dbdCADPHykMgkrBZUQQgpPWPsJqsWpN4qqDeAjlU5YKaiEEFJ4wupUUNVxXDrfoiOVsFJQCSGk8ITVDUFVx3DxfKXYhZWCSgghhSesbgkqYJJyh+jhsiCsWHy+EgoqIYQUgLCiE7RhU6Mhr7UzQVW/7dI5FjVVlbGwWchCT0ElhBBvA/GsNcQQxmc34gFQVB2iD/mih4rs88hCb8WPlRBCSO7BkO+mxhYJ+P1qwWc3Qhp6SlSfeuopOeSQQ2Tw4MHi8/nkvffeM7XfggULZMcdd5Ty8nLZddddZdGiRXHbkeFl9uzZMmLECKmoqJCJEyfKqlWrHJ9v4hwqhg7MuNsQQgjJH8Y51CGD69XiVqxgT4lqe3u77L///nLDDTeY3uf111+XadOmyWmnnSYrV66UI488Ui0ffPBBtMyNN94od955p8ybN0/eeustqaqqkkmTJklXl/WQgzqpjJIyudsQQgjJH8mMktyMFewpQ6WTTjpJ/f/555+b3ueOO+6QQw89VH71q1+p71dffbUsWbJE7rrrLiWi6KXefvvtcsUVV8gRRxyhyvzhD3+QYcOGycKFC+X444+3fJ6ZrHyNxkvG74QQQvJHOitfo/ESytiO0y4FzhtvvKGGc42gF4r1YPXq1bJ27dq4MnV1dTJ+/PhomWR0d3dLS0tL3AJ6Nc2U2wx7rIQQ4h3MuM240WP1VE/VDhBM9DqN4DvW69v1danKJGPu3Lly5ZVXxq2bMWOGtKgUQD5TbzHssQ4srj/+B/k+BUKIDaz4oSbrsRZET/WRRx6R6urq6LJ8+XLxEjNnzpTm5ubo8uWXX0pZWZlEItYCO7DHSggh+cNOYIfEHquVJOV566lOmTJFDcHqbLnllrZ+Z/jw4bJu3bq4dfiO9fp2fR2sf41lxowZk/J3g8GgWhJvdF1NteVxdvZYCSEk9ziJlGTssRZEkvKamhrZbrvtogtcXewwYcIEWbp0adw6GCphPRg9erQSVmMZzI/CClgvYxbMsyJRuR2c9litvCkRQkix0+NGcPxvhdVKknJPzalu3rxZvvjiC/n666/V908++UT9D1HUe5zTp09XvVrMeYILLrhADjjgALnllltk8uTJMn/+fFmxYoXcd999ajv8XS+88EK55pprZPvtt1ciO2vWLBk5cqRyvbECLImdYLfH2t7eKaFwxNGxCSGk0NFMtsFuxvJVkZcKNUn5s88+K3vssYcSRwB3F3yHa4wORPebb76Jft93333l0UcfVSK6++67y5NPPqlcZXbZZZdomUsuuUTOP/98OfPMM2XcuHHS1tYmixcvVsEico3VHivKtLV3SMBv/k2JEEIGIj2hsGi9Ws4EVcdKknKf5rT7VSRgyBjiPG7P3aWy0rkYQywhrBDYVD1WvQwSo2P44dgpE2VQQ63jYxNCSKGxubFF/vjE88qtcYshDUnFMhuCCjo6uuT0Gecoo9Xa2trC6akWE5l6rEbRraqyN99MCCEDibKygITDEWU8hCA8uRBUq1BUPSisZnqxhBBSbJSUlEhDfY0KvmMUVq8IqucMlYqRROMl/TMFlRBC+hMI+FWsAIgohBUp21S2GQ8IKqCoelBYKaiEEJJ+GBjCigTjGzc3qdRtXhBUkP8zIIQQQgYIFFUPYJxDZUhDQghJjz6H2tdjrZdwpDep8VI+4PBvnklllMSQhoQQ0p9QKCzNLe1xc6jGOdZ8DwOzp+pBQWUQfkII6Q96oo1Nrf2MkvQ51kSr4HxAUc0TmdxmjMKKMIWEEFLs9PSExO9PbuXrFWGlqOYBs36ourAiTCED6hNCih0f/FTralIO73pBWCmqOcZqYAeUqa6qZEB9QkjRUxbwi68kfRzebAgrQiOahaJqAWS8cYLdSEkIU8iA+oSQYsdnsg12U1ixb0sh5FMtRJC03O4wrNPQg3bzuBJCSDFS5oKwYh/sG4mYHymkqFq8wcgAj8lyKzCWLyGEFJaw6oKKfesKNZ+q1+np6VEp2OAPZVZYKaiEEFJYwmoUVOxrZaSQomoRZICHj5QZYaWgEkJIYQlroqBiXytQVG1kgIePVCZhpaASQkhhCatTQQUUVRvARyqdsFJQCSGksITVDUEFFFWXhZWCSgghhSWsbgkqoJ+GC8KKyoCwBoMB6erqpqASQkgBCCva7Y2bmtQ6ZLpxKqiAPVWXhFXTepWglpcHKaiEEOJxIJ6DG2olFA6rBZ+dCiqgqLpAe0cs4H13d8iyHyshhJDcoiIlGbKA4bMbIQ0pqg4xzqGOGDbEtLsNIYSQ/GCcQx06uEEtbsUKpqg6INEoKZNVMCGEkPySzCjJzVjBFFWbpLLypbASQog3SWfl65awUlRtkMlthsJKCCHewozbjBvCSlG1SEdnlyk/VAorIYR4Ayt+qE6FlaJqAQRVbu/oMu2HSmElhJD8YiewQz9hZZLy7IlqVWW5JT9UCishhOQHJ5GSjMLKJOVZAgnKKyvKLe/nhrC64T9FCCHFQq8LoQd1YWWS8iyKql2cCGsoFGYPlxBCTOJmLF/syyTlHsWOsKJMY1Or+EpYVYSQ4iZsomPjpqDqMEn5ABFWbEMZv79UygLMfUAIKW5C4Yi0t8fCwuZCUK1CUfWosOqCijINdTXi8/nycq6EEOIVAv5SaWvvULECvCiogKLqQWE1CirK+EooqIQQ4vf7pbqqUsUKMAqrVwQVUFQ9JqyJgooyhBBC+qiqqlCxAnRh9ZKgAk7UeSjR+YZNjYY8fxRUQghJhh4rAMKKxecr8YSgArbaHgDiWWsIKIHPFFRCCElNVWVF9HMw2Jdpxguw5fYAGPLd1NgiAb9fLfhMv1RCCEmOPuSLHmp5eVC6urqTGi/lAw7/5pnEOVSAhwXrvDKcQQghXkHr1WRTS/wcqp45DFgJI5sN2FPNI8mMkhgrmBBCkqNpmjQ2t/YzSoKQGo2X8glFNU+ks/JNFFaEKSSEkGKnJxSWcDi5la9XhJWimgfMuM0YhRVhChlQnxBS7Gi9vdJQX5NyWswLwkpRzTFW/FB1YUWYQg4DE0KKnbKygAQyhGzNt7DSUCmH2AnsgDIIU9jS1pGTcySEEK9SYtLV0OjHavxul47OLtNlKaoWKCsrs5QB3oiTSEkIU8iA+oQQYh63hBW93fYOimpWgBAiA3xlRdCSKLoRepAB9QkhJLfCqrvqVFWWm96HomqB7u5ulQEefqRmxZGxfAkhpPCEVRdUzM+WlpSaPh5beIs+UsgADx8pCGsmi1wKKiGE5B+rxktGQbXau2UrbyP1EHykMgkrBZUQQgpPWJ0IKmBLb9OsO52wUlAJIaTwhNWpoAK29i4LKwWVEEIKT1jdEFRAQyUXhBUiCmFFyjaVbYaCSgghBWO8pH92KqjAM61+KBSSSy+9VHbddVepqqqSkSNHyvTp0+Xrr7/OuO/dd98to0aNkvLychk/fry8/fbbcdu7urrk3HPPlcGDB0t1dbUcc8wxsm7dOleFta+H2iT+0r4oSBRUQggpjB6rW4IKPNPyd3R0yLvvviuzZs1S/z/11FPyySefyJQpU9Lu9/jjj8vFF18sc+bMUfvtvvvuMmnSJFm/fn20zEUXXSR/+ctfZMGCBfLyyy8roT766KNzcFWEEEKKCc8M/9bV1cmSJUvi1t11112y9957yxdffCHbbLNN0v1uvfVWOeOMM+TUU09V3+fNmyfPP/+8PPjgg3LZZZdJc3OzPPDAA/Loo4/Kj370I1XmoYcekp122knefPNN2WeffRydtz6Hih6rPvxrxY+VEEJI7jHOoboZ0tDTrT4EEZGE6uvrk27v6emRd955RyZOnBhdByHD9zfeeEN9x3YMLRvL7Ljjjkqk9TJ2STRKCgbLTLnbEEIIyR+JRkluBuH3TE81EcyDYo512rRpUltbm7TMxo0bVYSjYcOGxa3H948//lh9Xrt2rYrZmyjMKINt6aInYdFpaWmJ257KyjfReIk9VkII8Q6prHzdihWct9b+kUceUUZD+rJ8+fLoNvQsjzvuOBXB6N57783L+c2dO1cNSevL1ltvHd2WyW0mkx8rIYSQ3JPJbcaNHmveRBUGSO+991502WuvveIEdc2aNWqONVUvFQwZMkRKS0v7WfLi+/Dhw9Vn/I9h4qamppRlkjFz5kw1/KwvX375pVofDodN+aFSWAkhxDuY9UN1Kqx5E9WamhrZbrvtoktFRUVUUFetWiUvvPCCcoFJB4Z1x44dK0uXLo2ug3jh+4QJE9R3bA8EAnFlYFUM4ye9TDKCwaASdOOC+d3m1jbTfqgUVkIIyT9WAzs4EVbPzKlCUH/6058qt5jnnntOzZXqc56DBg1SAgoOPvhgOeqoo+S8885T3+FOc/LJJ6ueLiyFb7/9dmlvb49aA2Po9rTTTlPl8DsQx/PPP18JqlXLXwgtesZW5kk5x0oIIfnDbqQk4xxr8Fv9KShR/eqrr+TZZ59Vn8eMGRO37aWXXpIDDzxQff7000+VgZLO1KlTZcOGDTJ79mwlwth38eLFccZLt912mxIyBH2A8RH8WO+55x7L54ieZm1NtWVRdENYMb9MCCHEPE5DD+r7bG5sLTxRRUQkM8Lx+eef91uHXqvec00GIi0h6hIWJ2ButsRmsnAnwqr1atITCts6LiGEFCOtLsXyxb7d3SHT5TkOmUPszLGiTGNzq2icjyWEFDm9JttBtwRVp7Ki3HRZiqqHhRXbUCYcjqj9CCGkmOnpCUkow6id24JqFYqqR4VVF1SUaaivoXETIaTo8ZWUSGNTqxJXLwoqYEvtQWE1CirKBAKemfomhJC8URbwi99fqmxTEoXVC4IKKKoeE9ZEQeWwLyGE9IFYAQ11NSpWgFFYvSKogF2gPGO0Ct64qS/qUzjSS0ElhJAk+Ep8ynsCnQ+0m8FgQLq6uj0hqIA9VQ8A8RzcUCuhcFgt+ExBJYSQ5MDGBMKqab1KUMvLg54QVEBR9QAY8m0xhMLCZ4Y0JISQ1LR3dEY/w480lfFSrqGo5hnjHOrQwQ1qYaxgQghJjXEOdcSwIf3mWPMJRTWPJDNKYhB+QghJTXt7Z5xRkj4U7BVhpajmiXRWvonCijCFhBBS7ITDYWlr7+hnlOQlYaWo5gEzbjNGYVVhChlQnxBS5ITCEamuqkxqlOQVYaWo5hgrfqi6sCJMIQPqE0KKnYC/VKqqKlJu94KwUlRziJ3ADiiDMIUMqE8IKXb8/syhFbIhrBh2NgtF1eUKTYWTSEkIU0i/VUIIMYebwop9m1vbTJenqFoU1Y7OLsv7uRF6kAH1CSEkt8KKfbBvaWmp+eNaPkoRgyGA9o4u5SNlFsbyJYSQwhNWXVCxb21Ntflj2jzXohXVqspy5SNlRlgpqIQQUnjCahRU7Fvi85k/nsPzLTqQAR4+UpmElYJKCCGFJ6z9BNXi1BtF1QbwkUonrBRUQggpPGF1KqjqOC6db9GRSlgpqIQQUnjC6oagqmO4eL5S7MJKQSWEkMITVrcEFTBJuUP0cFkQViw+XwkFlRBCCkBY0QnasKnRkNfamaCq33bpHIuaqspY2CxkoaegEkKIt4F41hpiCOOzG/EAKKoO0Yd80UNF9nlkobfix0oIIST3YMh3U2OLBPx+teCzGyENOfxrAbzFwFe1J9R345GSDRlkEPAe8XkRThD+TE3frksX+NkKoVBY/V5zi/lQWYQQMpBobmlT7SDaQ6fgNxqbWsXvL5W62r7ADmjL129sjLbldmP/UlQtUF9fr95mSpp9gkxs4UhY/e8vLZWNm5qi5cKRiPq+ualFbXNKr6ap1G+Llr7W7/dQ2UiHhOwNxtjE6EHjrctXUiJlAb/4LDgvWz6/FMfCOSO7DpIBYEg8m6EW0x0r1T3KBqyPPlgfMVgf7tQH2tWmlla1zUowhkR6ezX1W/gJf9gva7s3qfV6m/712m7VzpaU+OL2MQtF1QKqotV99kko1CO4zXgASkvj/xjKSvzSo4UlEukVFCorc3ibe32iSa8Ey8qUdZpOe3untHd0qvyCyXrFeNvC21gkEpGGuhrxGR4St8AbHwy08MbXUF3Z7xjlwTL1BtjW3pn0DdANko0YxFOm7hWSG6e6V27A+uiD9RGD9eFefcCrAmKKqTa77x9ok0PhsGrGA4Gyfr/j8wWkp6dHlTG27ejYmIWiaoMQhn99IsFAQP2xJKO8vEy6u0PqjQgPAwyY7KNJb69PjfujogHmbRHcv76uJmnCXlAWCKh9YCre0tbuimVbv+wNLe3q2tL99hZDGtS8M8q6bRmt5rRbmtWbJI6T6rfL6vvqSm/gUt0zu7A++mB9xGB9uFwfGgTVp3qQxl6kWdTQcTishDkYLEv6GzhcSUlQurv7hBUii/vhs9BTpaGSjTdPTTT1AKQSVB38MWEYAcIKgXXzAcXDDx/ZTA+/nugcwo4/XPyRuYEVv65sJQ626hecKRKWXVgffbA+YrA+vFUfEFTYwvgktaDqYBvKoCz2wb5WoKhaQE//Y0ZQsyWsVh7QbD2odhyl3W447AbacLvhYH30wfqIwfrwVn1YEdRUwmrlHCiqFoGYmhVUt4UV8xFWH1C3H1QnkUfcajicRq5yq+Gw02DosD5isD76YH24Xx92BDWZsFrprVJULYCKtTvn4lRYsR8MCew8oG49qK4Em3bYcLgVCtJpw+GkwdBhfcRgffTB+khXH+bnNZ0KaqKwWtrH8lGKGJilO8GusOrDD7Cac2pAYLfhcDM2pt2Gw+3YynYbDjcaDB3WRwzWRx+sj+T10dTSYtoK1w1B1cG+VqyyKao5xqqwogzMwPGHZgyHmMuGw80Gw27Dka1kBVYbDjcbDB3WRwzWRx+sj/71AaGMhCMZOzduCqqOFT9miqqHhVV3yYGvlBtBJOw0HNloMKw2HNnO/mO24chGg6HD+ojB+uiD9RED19RQV6tiA3T3YOROy5mgWoWi6lFh1QUVZWBtnA0yNRzZbDDMNhy5SqeXqeHIZoOhw/qIwfrog/URA0OwaA/RU4UfaaKwekFQAUXVg8JqFFRnQSPsNxy5aDAyNRy5zk+bquHIRYOhw/qIwfrog/URA0KJTgZiBRiF1SuCChhRKc8o0ezus+7F/yBXgprYcOAPFn+kSIGksjfkoMFIlt8Q5zG4oVZFVcl1wndjflydXDUYOqyPGKyPPlgfMTAdpsIJhkJKWNGD9YqgAoqq14QVlZJDQU1sOJCwd+PmJhUuLFcNRmLDgWQEOAcwdHDq0Gq5ajhy2WDosD5isD76YH3E0GMFYH4VCwyJvCCogMO/hBBCiEtQVD2AcQ41G7GCzaDPEfW9kddLONLrauxNM+hzRDg2zgHn4mYsVLMY54iyEQvVDKyPGKyPPlgfMfQ5VBUcX/XUkxsv5QOKap5JNErKVhD+dCQaXWAYJRtBrdORaHSBc8hGkPFMJBpdZCvIeDpYHzFYH32wPmLAb984h4qh4GTGS/mCoppHUln55lJYU1kxZitbRDJSWTFmK3tHKlJZMeay4WB9xGB99MH6iAHBTGaU5CVhpajmiUxuM0ZhxUOUDTK5BeSi4cjkFpCrhiOTW0AuGg7WRwzWRx+sj/i0m2gPUxkleUVYKap5wKwfqi6sGO7QLYPdwqyfXTYbDrN+dtluOMz62WWz4WB9xGB99MH6iIFramxuEcgo5lBTWfl6QVgpqjnGamAHlIFfFv7AkPrNDaw6rmej4bDquJ6thsOq43o2Gg7WRwzWRx+sj/71AcEs9ZdmjMObDWG1kkyFopqloMrJsBspCQ8I/miQ+s3pg2o3EoybDYfdSDBuNxx2I8G42XCwPmKwPvpgfSSvj/raWmXtawY3hRX7YujZLBRVC+ChtfvH4jT0IPZD6jcnD6rT0GpuNBxOQ6u51XA4Da3mRsPB+ojB+uiD9ZGuPqx1atwQVuyDfa1AUbXhH2UlC7ybsXyR+s3ug+pWrFInDYdbsUqdNhxuxSp10nCwPmKwPvpgfbhfH06EVRdU7KtHcDIDRdUCkW+NhWCNa1ZY3Q6Ob+dBdTv4t52Gw+3g33YbDreDf7M++mB9xGB9eKs+7AirUVD16TezUFQtguDN8JEyI6zZyjZj5UHNVjYNKw1HtrJpWG04spVNg/XRB+sjBuvDW/VhRVgTBdVKLxVQVC2i+0hlEtZsp28z86BmOz2VmYYj2+mpzDYc2U5Pxfrog/URg/XhrfowI6xOBRVQVG2ACfN0wpqrfKjpHtRc5XtM13DkKt9jpoYjV/keWR99sD5isD68VR/phNUNQQUUVZeFNZcJxlM9qLlMoJyq4ch1AuVUDUcuEygD1kcfrI8YrA9v1UcyYXVLUNXvu3q2RSqsqAwIaygcUX8suc6Hasxv2BMKK2HPZQLlxETOyPcI+rJp5C6BcmIiZ9RBV1d3zvM9sj76YH3EYH14qz500US73RV1mXEuqOq3XTi/okCPqNEbiUjirASifMA5WNP6hnZKSkuUwLp6bA1vUl0SDievstKSUikpKZW2tr6oS/hD6eqy5l/lBpUV5dLc0qY+19VW23JBckpFebl0dKAXEFYNFu5NR0dXTs+B9RGD9RGD9WG/PiKRsOq0oD2M9LqTjBznoHt1lJaWClr5ZG032n2zkZV8mpX4S0XMf//7X9l6663zfRqEEELyxJdffilbbbVV2jIUVZPgDenrr7+Wmpoax+EKC42Wlhb1QoEHqra2VoqRYr8HxX79oNjvQTFfP2SytbVVRo4cmXGImsO/JsGNzPSGMtDBH1Kx/TElUuz3oNivHxT7PSjW66+rqzNVjta/hBBCiEtQVAkhhBCXoKiSjASDQZkzZ476v1gp9ntQ7NcPiv0eFPv1m4WGSoQQQohLsKdKCCGEuARFlRBCCHEJiiohhBDiEhTVIiQUCsmll14qu+66q1RVVSmH5unTp6vgFpm4++67ZdSoUVJeXi7jx4+Xt99+O257V1eXnHvuuTJ48GCprq6WY445RtatWyde46mnnpJDDjlEnSeCebz33num9luwYIHsuOOO6vpx/xYtWhS3HSYKs2fPlhEjRkhFRYVMnDhRVq1aJV4kU10O5Gt/5ZVX5PDDD1fPPup/4cKFGfdZtmyZ7LnnnspQZ7vttpOHH37Y8T3NF3PnzpVx48apYDZbbLGFHHnkkfLJJ59k3G8gPQNZA4ZKpLhoamrSJk6cqD3++OPaxx9/rL3xxhva3nvvrY0dOzbtfvPnz9fKysq0Bx98UPvXv/6lnXHGGVp9fb22bt26aJmzzjpL23rrrbWlS5dqK1as0PbZZx9t33331bzGH/7wB+3KK6/Ufve738FQT1u5cmXGfV577TWttLRUu/HGG7UPP/xQu+KKK7RAIKC9//770TLXX3+9VldXpy1cuFD75z//qU2ZMkUbPXq01tnZqXkJM3U5UK8dLFq0SLv88su1p556StX/008/nbb8Z599plVWVmoXX3yxuv7f/va36n4sXrzY9j3NJ5MmTdIeeugh7YMPPtDee+897bDDDtO22WYbra2tLeU+A+0ZyBYUVaJ4++23VeOyZs2alGUgvOeee270eyQS0UaOHKnNnTs3Ktb4I1uwYEG0zEcffaR+F8LtRVavXm1aVI877jht8uTJcevGjx+vzZgxQ33u7e3Vhg8frt10003R7bgnwWBQe+yxxzQvkakuB/K1J2JGVC+55BLt+9//fty6qVOnKnGye0+9xPr169V9ePnll1OWGcjPgJtw+Jcompub1TBYfX190u09PT3yzjvvqOEcY+hGfH/jjTfUd2zH0LKxDIaKttlmm2iZQgbXYLw2MGnSpOi1rV69WtauXRtXBqHNMAzopes3U5cD9drtkun67dxTr/39g0GDBqUsU+zPgFkoqkTNg2KOddq0aSljem7cuFGlSBo2bFjcenzHHxLA/2VlZf2E2VimkME1ZLp+fV2qMl7ATF0O1Gu3S6rrR5D5zs5OW/fUS8lCLrzwQtlvv/1kl112SVmu2J8Bs1BUi4BHHnlEGQ3py/Lly6Pb0LM87rjjlIHBvffeK8V2/YQUOzAs/OCDD2T+/Pn5PpUBAbPUFAFTpkxRQzA6W265ZZygrlmzRl588cW0mSeGDBmikvgmWvLi+/Dhw9Vn/I9hsKamprjeqrGMl67fKriGTNevr4P1o7HMmDFjxCuYqcuBeu12SXX9+JuBlSvup9V76gXOO+88ee6555Q1dKYsXMX+DJiFPdUiAGbzcAHQFzQCuqDC3P2FF15QriXpwLDu2LFjZenSpXHDRvg+YcIE9R3bA4FAXBmY6X/xxRfRMl65fjvgGozXBpYsWRK9ttGjR6uGxVgGw4NvvfVWXq/fTl0O1Gu3S6brt3NP8wlGpiCoTz/9tHqhRv1lotifAdO4avZECoKenh5l6r7VVlspc/pvvvkmunR3d0fL/ehHP1KuA0aXAVjyPfzww8qk/swzz1QuA2vXro1zqYFp/osvvqhcaiZMmKAWr7Fp0yZl8fv8888rq0dcG77jHuicdNJJ2mWXXRbnUuD3+7Wbb75ZWTXPmTMnqUsB7skzzzyj/d///Z92xBFHeNKlIFNdDuRrB62traq+saD+b731VvVZt37HteMeJLrU/OpXv1LXf/fddyd1qcn09+EVzj77bOX6smzZsri//46OjmiZgf4MZAuKahGiu5EkW1566aVouW233Vb94RiByEI04Y8HF4I333wzbjv+eM455xytoaFBNUJHHXVUnFB5BfjoJbt+4/UecMAB2sknnxy33xNPPKHtsMMO6vrhYgFRNgK3glmzZmnDhg1TDezBBx+sffLJJ5oXSVeXA/3a8Zwnq3/9mvE/7kHiPmPGjFHX/53vfEc9Q4lk+vvwCqn+/o3XNNCfgWzBLDWEEEKIS3BOlRBCCHEJiiohhBDiEhRVQgghxCUoqoQQQohLUFQJIYQQl6CoEkIIIS5BUSWEEEJcgqJKCCGEuARFlRCieOCBB+SQQw7J+nEWL16sAqwjNi4hAw2KKiFE5dSdNWuWzJkzJ+vHOvTQQ1XiBaTkI2SgQVElhMiTTz6p0pghUXUuOOWUU+TOO+/MybEIySUUVUIGEBs2bFDpt6677rroutdff12lJktM22UECaoPP/zwuHUHHnigXHjhhXHrjjzySCWIOqNGjZJrrrlGpk+frhLAb7vttvLss8+q8zjiiCPUut12201WrFgR9zs4FtZ9+umnLlw1Id6BokrIAGLo0KHy4IMPym9+8xslWq2trXLSSSep3JkHH3xwyv1effVV2WuvvWwd87bbblM93JUrV8rkyZPV8SCyJ554orz77rvy3e9+V3035u7YZpttZNiwYbJ8+XJbxyTEq1BUCRlgHHbYYXLGGWfICSecIGeddZZUVVXJ3LlzU5ZvamqS5uZmGTlypO3jzZgxQ7bffnuZPXu2Skw9btw4OfbYY2WHHXaQSy+9VD766CNZt25d3H443po1a2wdkxCvQlElZABy8803SzgclgULFiiDoGAwmLJsZ2en+r+8vNzWsTC8q4PeJ9h11137rVu/fn3cfhUVFdLR0WHrmIR4FYoqIQMQzFV+/fXXym3l888/T1t28ODB4vP5pLGxMePvRiKRfutgyauD30m1LtGFZvPmzWq4mpCBBEWVkAFGT0+Pms+cOnWqXH311XL66af36yUagRHTzjvvLB9++GG/bYlDtp999plrLjwQ/j322MOV3yPEK1BUCRlgXH755WqOFC4rmM/EvObPfvaztPtMmjRJGSsl8swzz8hTTz2lBPDaa69Vwot50K+++srROb755ptqSHrChAmOfocQr0FRJWQAsWzZMrn99tvlj3/8o/I7LSkpUZ9hZXvvvfem3O+0006TRYsWKTE2AmveG2+8UfVkX3nlFbnnnnvk7bffVr/phMcee0wZUlVWVjr6HUK8hk8z2rkTQooWWOvuueeeMnPmzKifKsIJQqTdZOPGjfK9731PufyMHj3a1d8mJN+wp0oIUdx0000qWEO2geEUerwUVDIQYU+VEJKUbPVUCRnIUFQJIYQQl+DwLyGEEOISFFVCCCHEJSiqhBBCiEtQVAkhhBCXoKgSQgghLkFRJYQQQlyCokoIIYS4BEWVEEIIcQmKKiGEECLu8P8BFT7V7M0Pc54AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "boxes = []\n",
    "\n",
    "for x_center in (-lx / 4, +lx / 4):\n",
    "    for y_center in (-ly / 4, +ly / 4):\n",
    "        box = td.Structure(\n",
    "            geometry=td.Box(center=(x_center, y_center, 0), size=(lx / 2, ly / 2, td.inf)),\n",
    "            medium=td.Medium(permittivity=eps_box),\n",
    "        )\n",
    "        boxes.append(box)\n",
    "\n",
    "sim_num = sim.updated_copy(structures=boxes)\n",
    "\n",
    "ax = sim_num.plot(z=0, monitor_alpha=0.1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "aa7ede19-0af6-4ecc-b75b-6c6ccc7fb90c",
   "metadata": {},
   "source": [
    "### Numerical gradient\n",
    "\n",
    "As a reminder, the numerical derivative with respect to parameter `p` is approximated by\n",
    "\n",
    "$$\n",
    "\\frac{dJ}{dp} \\approx \\frac{J(p+\\Delta) - J(p-\\Delta)}{2 \\Delta}\n",
    "$$\n",
    "\n",
    "Here, we will compute this for each $p$ in our design variables. \n",
    "\n",
    "We must loop over each of our box quadrants, perturb the permittivity in that quadrant by a small amount in both plus and minus directions, compute the objective function through a simulation, and take the difference. \n",
    "\n",
    "This will require 2 N = 8 simulations total, which we'll perform in a batch since they don't depend on each other.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "cbe9b289-76d9-4db8-9b71-29b365cb0077",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "task_name = \"box_1_+\": box epsilons = [2.005, 2.0, 2.0, 2.0]\n",
      "task_name = \"box_1_-\": box epsilons = [1.995, 2.0, 2.0, 2.0]\n",
      "task_name = \"box_2_+\": box epsilons = [2.0, 2.005, 2.0, 2.0]\n",
      "task_name = \"box_2_-\": box epsilons = [2.0, 1.995, 2.0, 2.0]\n",
      "task_name = \"box_3_+\": box epsilons = [2.0, 2.0, 2.005, 2.0]\n",
      "task_name = \"box_3_-\": box epsilons = [2.0, 2.0, 1.995, 2.0]\n",
      "task_name = \"box_4_+\": box epsilons = [2.0, 2.0, 2.0, 2.005]\n",
      "task_name = \"box_4_-\": box epsilons = [2.0, 2.0, 2.0, 1.995]\n"
     ]
    }
   ],
   "source": [
    "# step size\n",
    "delta = 5e-3\n",
    "\n",
    "# set up all simulations in the batch with perturbed permittivities\n",
    "num_grad_sims = {}\n",
    "for i_box in range(len(boxes)):\n",
    "    for pm_str, delta_eps in zip(\"+-\", (+delta, -delta)):\n",
    "        task_name = f\"box_{i_box + 1}_{pm_str}\"\n",
    "        new_boxes = list(boxes)\n",
    "        new_medium = boxes[i_box].medium\n",
    "        new_medium = new_medium.updated_copy(permittivity=new_medium.permittivity + delta_eps)\n",
    "        new_boxes[i_box] = boxes[i_box].updated_copy(medium=new_medium)\n",
    "\n",
    "        print(\n",
    "            f'task_name = \"{task_name}\": box epsilons = {[b.medium.permittivity for b in new_boxes]}'\n",
    "        )\n",
    "\n",
    "        new_sim_i = sim.updated_copy(structures=new_boxes)\n",
    "\n",
    "        num_grad_sims[task_name] = new_sim_i"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "40f39287-77c5-4722-80cb-4482ea6bf202",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 600x600 with 4 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# inspect each of the forward perturbed sims to get a feeling for what is being simulated\n",
    "_, ((ax1, ax2), (ax3, ax4)) = plt.subplots(2, 2, tight_layout=True, figsize=(6, 6))\n",
    "axes = [ax1, ax2, ax3, ax4]\n",
    "for ax, box_num in zip(axes, \"1234\"):\n",
    "    num_grad_sims[f\"box_{box_num}_+\"].plot(z=0, monitor_alpha=0.0, ax=ax)\n",
    "    ax.set_title(f\"sim perturbing box #{box_num}\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "4fc8c7d7-4b9f-4915-a439-2981efa8a726",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "7d40734e193f4968ad8445a7955b7521",
       "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\">11:10:26 CEST </span>Started working on Batch containing <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">8</span> tasks.                      \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m11:10:26 CEST\u001b[0m\u001b[2;36m \u001b[0mStarted working on Batch containing \u001b[1;36m8\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\">11:10:33 CEST </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.200</span> for the whole batch.               \n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m11:10:33 CEST\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.200\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>the Batch has completed.                                          \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[0mthe Batch has completed.                                          \n"
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       "Output()"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">11:10:39 CEST </span>Batch complete.                                                   \n",
       "</pre>\n"
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      "text/plain": [
       "\u001b[2;36m11:10:39 CEST\u001b[0m\u001b[2;36m \u001b[0mBatch complete.                                                   \n"
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       "Output()"
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   ],
   "source": [
    "# run all simulations in a batch\n",
    "batch_data = web.run_async(simulations=num_grad_sims, path_dir=\"data\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "b2561846-a9a9-4d1f-aa19-f5016043a54d",
   "metadata": {},
   "outputs": [],
   "source": [
    "# post process batch results using finite difference derivative equation to compute gradient\n",
    "grad_num = np.zeros(len(boxes))\n",
    "for task_name, sim_data in batch_data.items():\n",
    "    _, box_i_plus1, pm_str = task_name.split(\"_\")\n",
    "    box_i = int(box_i_plus1) - 1\n",
    "    constant = 1 / (2 * delta) if pm_str == \"+\" else -1 / (2 * delta)\n",
    "    J_i = measure_intensity(sim_data)\n",
    "    grad_num[box_i] += constant * J_i"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "15732515-e14e-4af0-98aa-97c8ad821527",
   "metadata": {},
   "source": [
    "### Adjoint gradient\n",
    "\n",
    "For the adjoint gradient, we simply sum our permittivity derivative map over each of the domains associated with the permittivities. \n",
    "\n",
    "Note, the neat thing about this is that we **only require 2 simulations** to compute the gradient, no matter how many design parameters we have.\n",
    "\n",
    "The permittivity derivative matp contains all the information we need to compute the gradient w.r.t. a set of arbitrary parameters.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "6474dddd-f113-4479-bfe0-4800e2a48f01",
   "metadata": {},
   "outputs": [],
   "source": [
    "grad_adj = []\n",
    "\n",
    "num_pts = 100\n",
    "\n",
    "# loop over quadrants and integrate using trapezoidal rule\n",
    "for x_center in (-lx / 4, +lx / 4):\n",
    "    dx = lx / 2 / num_pts\n",
    "    x_bounds = (x_center - lx / 4, x_center + lx / 4)\n",
    "    xpts = np.linspace(x_bounds[0] + dx / 2, x_bounds[1] - dx / 2, num_pts)\n",
    "    for y_center in (-ly / 4, +ly / 4):\n",
    "        dy = ly / 2 / num_pts\n",
    "        y_bounds = (y_center - ly / 4, y_center + ly / 4)\n",
    "        ypts = np.linspace(y_bounds[0] + dy / 2, y_bounds[1] - dy / 2, num_pts)\n",
    "        grad_adj_i = np.sum(dJ_deps.interp(x=xpts, y=ypts)) * dx * dy\n",
    "        grad_adj.append(grad_adj_i)\n",
    "\n",
    "grad_adj = np.array(grad_adj)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "id": "dcb89a65-a9ab-4dcb-9a81-d546300f61ca",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "adjoint gradient =  [ 6899.22349859 -3010.03007895  7095.60595275  -651.46163376]\n",
      "numerical gradient =  [ 6882.71479218 -3020.51370814  7088.20877809  -671.17994514]\n"
     ]
    }
   ],
   "source": [
    "print(\"adjoint gradient = \", grad_adj)\n",
    "print(\"numerical gradient = \", grad_num)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "82b1dd4d-30a6-4192-afaa-7428f9f42e49",
   "metadata": {},
   "source": [
    "We compare the two gradients and see that they match quite well! to 0.27% RMS error."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "a190c479-3ccf-4d05-8a80-480378c149af",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rms unnormalized = 0.2776 %\n"
     ]
    }
   ],
   "source": [
    "rms_unnormalized = np.linalg.norm(grad_adj - grad_num) / np.linalg.norm(grad_num)\n",
    "print(f\"rms unnormalized = {(rms_unnormalized * 100):.4f} %\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "06420bf7-938f-46ed-8aed-8d5ecc76e0de",
   "metadata": {},
   "source": [
    "For the purposes of optimization, we often care more about the **direction** of the gradient vector than it's overall magnitude.\n",
    "\n",
    "This is because most optimization algorithms require the user to specify a step size for iteration anyway.\n",
    "\n",
    "In this spirit, comparing the adjoint and numerical gradient vectors normalized as unit vectors, the error gets even smaller."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "7b090f9b-c175-4259-bbf6-29cf83543c27",
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "rms normalized = 0.2533 %\n"
     ]
    }
   ],
   "source": [
    "rms_normalized = np.linalg.norm(\n",
    "    grad_adj / np.linalg.norm(grad_adj) - grad_num / np.linalg.norm(grad_num)\n",
    ")\n",
    "print(f\"rms normalized = {(rms_normalized * 100):.4f} %\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5fe16473-262d-4ba5-977d-377dabfd6de7",
   "metadata": {},
   "source": [
    "This is a typical approach towards checking that your adjoint code is working properly.\n",
    "\n",
    "In the following notebooks, we will make use of the native automatic differentiation support in tidy3d to compute these gradients without all of this extra work, and use it to do some interesting optimizations."
   ]
  }
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