{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "23c04350",
   "metadata": {},
   "source": [
    "## Optimized photonic crystal cavity\n",
    "\n",
    "In this notebook, we will simulate an optimized version of the commonly used L3 photonic crystal cavity composed of three missing holes in a hexagonal lattice of holes in a silicon slab. The design we use was optimized in the paper [A full degree-of-freedom photonic crystal spatial light modulator](https://www.nature.com/articles/s41566-022-01086-9) to simultaneously have a very high quality factor and far-field emission strongly localized around the cavity normal direction."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "fa696798",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T00:54:26.576345Z",
     "iopub.status.busy": "2023-03-28T00:54:26.575738Z",
     "iopub.status.idle": "2023-03-28T00:54:27.809760Z",
     "shell.execute_reply": "2023-03-28T00:54:27.809177Z"
    }
   },
   "outputs": [],
   "source": [
    "from os.path import join\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import tidy3d as td\n",
    "from tidy3d.plugins.resonance import ResonanceFinder\n",
    "from tidy3d import web\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1c81b043",
   "metadata": {},
   "source": [
    "### Initialize geometry\n",
    "\n",
    "We will read in hole positions and radii from file, in units of lattice constant. The holes are only defined in one quadrant so we have to use symmetry later on when defining the simulation. If symmetry is not applied in the simulation, we have to expand the hole list to append holes in the other quadrants. Note also that the holes correspond to a *periodic* arrangement of cavities, as for the spatial light modulator structure studied in the paper."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "fc301459",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T00:54:27.812144Z",
     "iopub.status.busy": "2023-03-28T00:54:27.811863Z",
     "iopub.status.idle": "2023-03-28T00:54:27.830133Z",
     "shell.execute_reply": "2023-03-28T00:54:27.829573Z"
    }
   },
   "outputs": [],
   "source": [
    "holes_file = np.loadtxt(join(\"misc\", \"optimized_L3_holes.txt\"))\n",
    "xs, ys, rs = holes_file.T  # in units of um\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "b447677a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T00:54:27.832050Z",
     "iopub.status.busy": "2023-03-28T00:54:27.831852Z",
     "iopub.status.idle": "2023-03-28T00:54:27.849423Z",
     "shell.execute_reply": "2023-03-28T00:54:27.848867Z"
    }
   },
   "outputs": [],
   "source": [
    "# Periodicity in units of PhC periods in x and y directions\n",
    "nx, ny = 32, 32\n",
    "\n",
    "# Lattice constant of the PhC in micron\n",
    "alattice = 0.4\n",
    "\n",
    "# Regular PhC lattice parameters\n",
    "r_hole = 0.1  # radius of holes in regular PhC region\n",
    "d_slab = 0.22  # slab thickness\n",
    "n_slab = 3.4757  # refractive index of the slab\n",
    "\n",
    "# Materials - air and silicon\n",
    "air = td.Medium()\n",
    "si = td.Medium(permittivity=n_slab**2)\n",
    "\n",
    "# Simulation domain size (micron)\n",
    "size_z = 6\n",
    "sim_size = [(nx + 1) * alattice, (ny + 1) * alattice * np.sqrt(3) / 2, size_z]\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "f82c55d6",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T00:54:27.851545Z",
     "iopub.status.busy": "2023-03-28T00:54:27.851365Z",
     "iopub.status.idle": "2023-03-28T00:54:27.880488Z",
     "shell.execute_reply": "2023-03-28T00:54:27.879929Z"
    }
   },
   "outputs": [],
   "source": [
    "# Initialize structures\n",
    "slab = td.Structure(\n",
    "    geometry=td.Box(center=[0, 0, 0], size=[td.inf, td.inf, d_slab]), medium=si\n",
    ")\n",
    "\n",
    "holes_group = []\n",
    "# Add all provided optimized holes\n",
    "for x, y, r in zip(xs, ys, rs):\n",
    "    holes_group.append(td.Cylinder(center=[x, y, 0], radius=r, length=d_slab))\n",
    "\n",
    "# Pad with regular PhC holes outside of the optimized region\n",
    "xmax_opt = np.amax(np.int64(xs / alattice))\n",
    "ymax_opt = np.amax(np.int64(ys / alattice * 2 / np.sqrt(3)))\n",
    "nx_pos, ny_pos = nx // 2 + 1, ny // 2 + 1\n",
    "for iy in range(ny_pos):\n",
    "    for ix in range(nx_pos):\n",
    "        if ix > xmax_opt or iy > ymax_opt:\n",
    "            xp = ix + (iy % 2) * 0.5\n",
    "            yp = iy * np.sqrt(3) / 2\n",
    "            holes_group.append(\n",
    "                td.Cylinder(center=[xp, yp, 0], radius=r_hole, length=d_slab)\n",
    "            )\n",
    "\n",
    "holes = td.Structure(geometry=td.GeometryGroup(geometries=holes_group), medium=air)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "682713be",
   "metadata": {},
   "source": [
    "### Initialize source\n",
    "\n",
    "We will be looking for the fundamental mode of the L3 cavity, so we use a y-polarized source at the center of the cavity."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "ad414ec3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T00:54:27.882594Z",
     "iopub.status.busy": "2023-03-28T00:54:27.882417Z",
     "iopub.status.idle": "2023-03-28T00:54:28.238775Z",
     "shell.execute_reply": "2023-03-28T00:54:28.238260Z"
    }
   },
   "outputs": [
    {
     "data": {
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\n",
      "text/plain": [
       "<Figure size 720x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Central frequency around which we'll look for the cavity mode (Hz)\n",
    "wavelength = 1.55\n",
    "freq0 = td.C_0 / wavelength\n",
    "\n",
    "# Source bandwidth (Hz)\n",
    "fwidth = 1e13\n",
    "\n",
    "# Simulation run time (s)\n",
    "run_time = 10e-12\n",
    "\n",
    "# Source; plot time dependence to verify when the source pulse decayed\n",
    "source = td.PointDipole(\n",
    "    center=(0, 0, 0),\n",
    "    source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
    "    polarization=\"Ey\",\n",
    ")\n",
    "\n",
    "# Source pulse is much shorter than the simulation run_time defined above,\n",
    "# so we only examine the signal up to a shorter time = 5e-13fs\n",
    "fig, ax = plt.subplots(1, 2, figsize=(10, 4))\n",
    "source.source_time.plot(np.linspace(0, 5e-13, 2000), ax=ax[0])\n",
    "source.source_time.plot_spectrum(times=np.linspace(0, 5e-13, 2000), ax=ax[1])\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "5e59a24f",
   "metadata": {},
   "source": [
    "### Initialize monitors\n",
    "\n",
    "We will use three different types of monitors. The first one is a time domain monitor at a single point at the center of the cavity, which we will use to determine the resonance frequency and quality factor of the mode. The second is a frequency-domain monitor recording the near field of the mode at the slab center. The third monitor is a far field projection monitor placed right above the slab, which will help us visualize the emission profile of the cavity mode.\n",
    "\n",
    "For all of those monitors, it is important to exclude the contribution of the source pulse and study only the long-lived cavity mode. In the time monitor, this is achieved by setting the starting time to after the source has decayed. In the frequency-domain monitors, this is achieved using apodization, which applies a windowing function to the running Fourier transform."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "943610de",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T00:54:28.240919Z",
     "iopub.status.busy": "2023-03-28T00:54:28.240737Z",
     "iopub.status.idle": "2023-03-28T00:54:28.260959Z",
     "shell.execute_reply": "2023-03-28T00:54:28.260399Z"
    }
   },
   "outputs": [],
   "source": [
    "# Starting time after the source has decayed for time series and\n",
    "# for apodization of frequency domain monitors\n",
    "t_start = 4e-13\n",
    "\n",
    "# Time series monitor for Q-factor computation\n",
    "time_series_mnt = td.FieldTimeMonitor(\n",
    "    center=[0, 0, 0], size=[0, 0, 0], start=t_start, name=\"time_series\"\n",
    ")\n",
    "\n",
    "# Apodization to exclude the source pulse from the frequency-domain monitors\n",
    "apodization = td.ApodizationSpec(start=t_start, width=2e-13)\n",
    "\n",
    "# near field\n",
    "field_mnt = td.FieldMonitor(\n",
    "    center=[0, 0, 0],\n",
    "    size=[4, 2 * np.sqrt(3), 0],\n",
    "    freqs=[freq0],\n",
    "    name=\"field\",\n",
    "    apodization=apodization,\n",
    ")\n",
    "\n",
    "# far field\n",
    "ux = np.linspace(-1, 1, 101)\n",
    "uy = np.linspace(-1, 1, 101)\n",
    "far_field_mnt = td.FieldProjectionKSpaceMonitor(\n",
    "    center=(0, 0, d_slab / 2 + 0.1),\n",
    "    size=(td.inf, td.inf, 0),\n",
    "    freqs=[freq0],\n",
    "    name=\"n2f_monitor\",\n",
    "    proj_axis=2,\n",
    "    ux=ux,\n",
    "    uy=uy,\n",
    "    apodization=apodization,\n",
    ")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ade82bc0",
   "metadata": {},
   "source": [
    "### Define and run simulation\n",
    "\n",
    "In structures with (quasi)-periodicity, meaning with a well-defined notion of a unit cell, it is usually best to use a grid that is commensurate with the periodicity. This is why here we use a uniform grid in x and y, with a different step size to account for the different periodicity of the PhC lattice in these directions. In z, we use an automatic nonuniform mesh which conforms to the slab thickness and is finer in the silicon region.\n",
    "\n",
    "We initialize the simulation with reflection symmetries defined with respect to the x-, y-, and z-planes. Note that the eigenvalue of the symmetry (plus or minus one) has to be carefully determined, taking into account the vectorial nature of the electric field (and the pseudo-vector nature of the magnetic field). As an extra hint, positive symmetry is equivalent to a PMC plane, where the normal E-field component vanishes, while negative symmetry is equivalent to a PEC plane, where the parallel components of the E-field vanish. The symmetry values can be determined by thinking about a y-polarized electric dipole at the origin: (1, -1, 1).\n",
    "\n",
    "In this simulation, we need to place structures close to the PML. This will result in warnings as such structures can sometimes cause a simulation to diverge, due to evanescent fields being amplified in the PML. However, in this particular case, this is OK, and it is better to have the photonic crystal structure go all the way to the PML than to terminate it early."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "c0bbd0f4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T00:54:28.263076Z",
     "iopub.status.busy": "2023-03-28T00:54:28.262912Z",
     "iopub.status.idle": "2023-03-28T00:54:28.288440Z",
     "shell.execute_reply": "2023-03-28T00:54:28.287916Z"
    }
   },
   "outputs": [],
   "source": [
    "# Suppress warnings for some of the holes being too close to the PML\n",
    "td.config.logging_level = \"ERROR\"\n",
    "\n",
    "# Mesh step in x, y, z, in micron\n",
    "steps_per_unit_length = 20\n",
    "grid_spec = td.GridSpec(\n",
    "    grid_x=td.UniformGrid(dl=alattice / steps_per_unit_length),\n",
    "    grid_y=td.UniformGrid(dl=alattice / steps_per_unit_length * np.sqrt(3) / 2),\n",
    "    grid_z=td.AutoGrid(min_steps_per_wvl=steps_per_unit_length),\n",
    ")\n",
    "\n",
    "# Simulation\n",
    "sim = td.Simulation(\n",
    "    size=sim_size,\n",
    "    grid_spec=grid_spec,\n",
    "    structures=[slab, holes],\n",
    "    sources=[source],\n",
    "    monitors=[time_series_mnt, field_mnt, far_field_mnt],\n",
    "    run_time=run_time,\n",
    "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n",
    "    symmetry=(1, -1, 1),\n",
    "    shutoff=0,\n",
    ")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "8afc52cf",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T00:54:28.290410Z",
     "iopub.status.busy": "2023-03-28T00:54:28.290244Z",
     "iopub.status.idle": "2023-03-28T00:54:28.938553Z",
     "shell.execute_reply": "2023-03-28T00:54:28.938140Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, 2, figsize=(10, 4))\n",
    "sim.plot(z=0, ax=ax[0])\n",
    "sim.plot(y=0, ax=ax[1])\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "768ea771",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T00:54:28.940604Z",
     "iopub.status.busy": "2023-03-28T00:54:28.940426Z",
     "iopub.status.idle": "2023-03-28T01:00:21.140722Z",
     "shell.execute_reply": "2023-03-28T01:00:21.140137Z"
    }
   },
   "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\">[16:29:02] </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'L3_opt'</span> with task_id                                   <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#139\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">139</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-b4bb7244-6c57-461f-b63b-b0f37ee9de29v1'</span>.                       <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[16:29:02]\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'L3_opt'\u001b[0m with task_id                                   \u001b]8;id=524988;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=232177;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#139\u001b\\\u001b[2m139\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b[32m'fdve-b4bb7244-6c57-461f-b63b-b0f37ee9de29v1'\u001b[0m.                       \u001b[2m             \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "8061842a049345229e3d6026a8b9d154",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[16:29:03] </span>status = queued                                                      <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#269\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">269</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[16:29:03]\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                      \u001b]8;id=326673;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=147981;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#269\u001b\\\u001b[2m269\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[16:29:06] </span>status = preprocess                                                  <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#263\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">263</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[16:29:06]\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess                                                  \u001b]8;id=715993;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=572244;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#263\u001b\\\u001b[2m263\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
      ],
      "text/plain": []
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[16:29:10] </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.567</span>. Use <span style=\"color: #008000; text-decoration-color: #008000\">'web.real_cost(task_id)'</span> to get  <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#286\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">286</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>the billed FlexCredit cost after a simulation run.                   <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[16:29:10]\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.567\u001b[0m. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get  \u001b]8;id=172739;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=235167;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#286\u001b\\\u001b[2m286\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0mthe billed FlexCredit cost after a simulation run.                   \u001b[2m             \u001b[0m\n"
      ]
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>starting up solver                                                   <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#290\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">290</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                                   \u001b]8;id=770420;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=17149;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#290\u001b\\\u001b[2m290\u001b[0m\u001b]8;;\u001b\\\n"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>running solver                                                       <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#300\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">300</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                       \u001b]8;id=264441;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=341519;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#300\u001b\\\u001b[2m300\u001b[0m\u001b]8;;\u001b\\\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\">[16:36:10] </span>early shutoff detected, exiting.                                     <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#313\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">313</span></a>\n",
       "</pre>\n"
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       "\u001b[2;36m[16:36:10]\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected, exiting.                                     \u001b]8;id=188651;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=129585;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#313\u001b\\\u001b[2m313\u001b[0m\u001b]8;;\u001b\\\n"
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       "</pre>\n"
      ],
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       "\n"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>status = postprocess                                                 <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#330\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">330</span></a>\n",
       "</pre>\n"
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                                 \u001b]8;id=727445;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=350462;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#330\u001b\\\u001b[2m330\u001b[0m\u001b]8;;\u001b\\\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\">[16:36:32] </span>status = success                                                     <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#337\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">337</span></a>\n",
       "</pre>\n"
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       "\u001b[2;36m[16:36:32]\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                     \u001b]8;id=808836;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=367140;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#337\u001b\\\u001b[2m337\u001b[0m\u001b]8;;\u001b\\\n"
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       "Output()"
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       "</pre>\n"
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       "\n"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[16:36:34] </span>loading SimulationData from simulation_data.hdf5                     <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">webapi.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#512\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">512</span></a>\n",
       "</pre>\n"
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       "\u001b[2;36m[16:36:34]\u001b[0m\u001b[2;36m \u001b[0mloading SimulationData from simulation_data.hdf5                     \u001b]8;id=164200;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=101708;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#512\u001b\\\u001b[2m512\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
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    }
   ],
   "source": [
    "sim_data = web.run(sim, task_name=\"L3_opt\", verbose=True)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "27256e0e",
   "metadata": {},
   "source": [
    "### Analyze data\n",
    "\n",
    "First, we can examine the raw time series data and we can also compute the spectrum corresponding to it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "f8604b88",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T01:00:26.329066Z",
     "iopub.status.busy": "2023-03-28T01:00:26.328927Z",
     "iopub.status.idle": "2023-03-28T01:00:26.920409Z",
     "shell.execute_reply": "2023-03-28T01:00:26.919912Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x216 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Get data from the TimeMonitor\n",
    "tdata = sim_data[\"time_series\"]\n",
    "\n",
    "time_series = tdata.Ey.squeeze()\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 3))\n",
    "\n",
    "# Plot time dependence\n",
    "time_series.plot(ax=ax1)\n",
    "\n",
    "# Make frequency mesh and plot spectrum\n",
    "dt = sim_data.simulation.dt\n",
    "fmesh = np.linspace(-1 / dt / 2, 1 / dt / 2, time_series.size)\n",
    "spectrum = np.fft.fftshift(np.fft.fft(time_series))\n",
    "\n",
    "ax2.plot(fmesh, np.abs(spectrum))\n",
    "ax2.set_xlim(1.8e14, 2e14)\n",
    "ax2.set_xlabel(\"Frequency [Hz]\")\n",
    "ax2.set_ylabel(\"Electric field [a.u.]\")\n",
    "ax2.set_title(\"Spectrum\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7f976ade",
   "metadata": {},
   "source": [
    "We can see that there is a sharp peak in the spectrum around 192THz, and a very slow decay of the field in the simulation, indicating a very high-Q mode. For such modes, it is virtually impossible to run the FDTD simulation until the fields have decayed. However, we can use the Tidy3D resonance finder plugin to estimate the exact resonance frequency and Q of the mode much better than what we can see from the plots above."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "d6ddc0f8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T01:00:26.922479Z",
     "iopub.status.busy": "2023-03-28T01:00:26.922301Z",
     "iopub.status.idle": "2023-03-28T01:00:28.892650Z",
     "shell.execute_reply": "2023-03-28T01:00:28.891771Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>decay</th>\n",
       "      <th>Q</th>\n",
       "      <th>amplitude</th>\n",
       "      <th>phase</th>\n",
       "      <th>error</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>freq</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1.915336e+14</th>\n",
       "      <td>6.955651e+08</td>\n",
       "      <td>865081.491404</td>\n",
       "      <td>12193.271205</td>\n",
       "      <td>-0.094253</td>\n",
       "      <td>0.002133+0.000000j</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                     decay              Q     amplitude     phase  \\\n",
       "freq                                                                \n",
       "1.915336e+14  6.955651e+08  865081.491404  12193.271205 -0.094253   \n",
       "\n",
       "                           error  \n",
       "freq                              \n",
       "1.915336e+14  0.002133+0.000000j  "
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "resonance_finder = ResonanceFinder(freq_window=(1.8e14, 2e14), init_num_freqs=100)\n",
    "resonance_data = resonance_finder.run(sim_data[\"time_series\"])\n",
    "resonance_data.to_dataframe()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a8d2c71c",
   "metadata": {},
   "source": [
    "We can also have a look at the cavity mode as stored in the near field monitor."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "5b06104d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T01:00:28.897124Z",
     "iopub.status.busy": "2023-03-28T01:00:28.896764Z",
     "iopub.status.idle": "2023-03-28T01:00:29.498119Z",
     "shell.execute_reply": "2023-03-28T01:00:29.497559Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1)\n",
    "sim_data.plot_field(\"field\", \"Ey\", val=\"abs\", z=0, ax=ax, eps_alpha=0)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0c5750a0",
   "metadata": {},
   "source": [
    "Finally, we can also plot the far field radiation pattern associated to this mode, which was optimized to be as concentrated as possible around the normal direction. In fact, it is almost entirely confined within the field-of-view associated to the cavity array, given by $\\lambda / L$, where $L$ is the periodicity along a direction. This field of view in 2D is plotted with a white circle below."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "e658f1b2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-28T01:00:29.500227Z",
     "iopub.status.busy": "2023-03-28T01:00:29.500042Z",
     "iopub.status.idle": "2023-03-28T01:00:29.713251Z",
     "shell.execute_reply": "2023-03-28T01:00:29.712768Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1)\n",
    "cavity_rcs = np.abs(sim_data[\"n2f_monitor\"].power)\n",
    "ax.imshow(np.squeeze(cavity_rcs).T, extent=[-1, 1, 1, -1])\n",
    "\n",
    "phis = np.linspace(0, np.pi * 2, 201)\n",
    "ax.plot(np.cos(phis), np.sin(phis), lw=8, color=\"w\")\n",
    "Lx, Ly = nx * alattice, ny * alattice * np.sqrt(3) / 2\n",
    "ax.plot(wavelength / Lx * np.cos(phis), wavelength / Ly * np.sin(phis), lw=2, color=\"w\")\n",
    "ax.set_xlabel(\"normalized $k_x$\")\n",
    "ax.set_ylabel(\"normalized $k_y$\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "815a2ef7",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {
     "0324613a2ddb422d90118f7f6accf712": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "_model_module": "@jupyter-widgets/base",
       "_model_module_version": "1.2.0",
       "_model_name": "LayoutModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/base",
       "_view_module_version": "1.2.0",
       "_view_name": "LayoutView",
       "align_content": null,
       "align_items": null,
       "align_self": null,
       "border": null,
       "bottom": null,
       "display": null,
       "flex": null,
       "flex_flow": null,
       "grid_area": null,
       "grid_auto_columns": null,
       "grid_auto_flow": null,
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