GradientMetasurfaceReflector.ipynb

{
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  {
   "cell_type": "markdown",
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   "metadata": {},
   "source": [
    "# Gradient metasurface reflector"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f0b7cf70",
   "metadata": {},
   "source": [
    "Electromagnetic metamaterials and metasurfaces are artificially engineered structures made of subwavelength resonating unit cells. By utilizing various design principles, they have enabled fascinating electromagnetic phenomena and capabilities such as negative refraction, cloaking, perfect absorption, high-NA focusing, and so on. In Tidy3D's example library, we have demonstrated a [dielectric metasurface absorber](https://www.flexcompute.com/tidy3d/examples/notebooks/DielectricMetasurfaceAbsorber/), a [metalens at the visible frequency](https://www.flexcompute.com/tidy3d/examples/notebooks/Metalens/), and a [graphene metamaterial absorber](https://www.flexcompute.com/tidy3d/examples/notebooks/GrapheneMetamaterial/). \n",
    "\n",
    "This notebook demonstrates a near-infrared metasurface reflector consisting of plasmonic antennas. First, we model the unit cell and extract the relationship between a geometric parameter and the corresponding complex reflection coefficient. Then, a super cell consisting of ten antennas is designed to exhibit a linear reflection phase such that the incident light can be diffracted to a particular angle efficiently. By a similar procedure, other beam shaping devices and metalenses can be designed according to different phase profiles. \n",
    "\n",
    "This example is based on the landmark work [Sun, S.; Yang, K.-Y.; Wang, C.-M.; Juan, T.-K.; Chen, W.T.; Liao, C.Y.; He, Q.; Xiao, S.; Kung, W.-T.; Guo, G.-Y.; et al. High-Efficiency Broadband Anomalous Reflection by Gradient Meta-Surfaces. Nano Lett. 2012, 12, 6223–6229](https://pubs.acs.org/doi/abs/10.1021/nl3032668).\n",
    "\n",
    "<img src=\"img/gradient_metasurface_reflector_schematic.png\" width=\"600\" alt=\"Schematic of the gradient metasurface reflector\">"
   ]
  },
  {
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   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "import tidy3d as td\n",
    "import tidy3d.web as web\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d2281a3f",
   "metadata": {},
   "source": [
    "## Unit Cell Simulation "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "76f5caab",
   "metadata": {},
   "source": [
    "### Simulation Setup "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2736c0b1",
   "metadata": {},
   "source": [
    "In the first part of the notebook, we simulate a unit cell that consists of a rectangular gold antenna, a dielectric spacer, and a gold film on glass substrate. The thickness of the gold film is $d_3$=130 nm. The thickness of the spacer is $d_2$ = 50 nm. The thickness and width of the antenna are $d_1$=30 nm and $w$=90 nm. The only parameter we can vary is the length of the antenna $L$. The periodicities in x and y directions are $L_x$=120 nm and $L_y$=300 nm, respectively.\n",
    "\n",
    "First, define the simulation frequency and wavelength ranges."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "fdde66c1",
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   "source": [
    "lda0 = 0.85  # central wavelength\n",
    "freq0 = td.C_0 / lda0  # central frequency\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "76c9939e",
   "metadata": {},
   "source": [
    "Define geometric parameters."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "21eecc0a",
   "metadata": {
    "execution": {
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   "outputs": [],
   "source": [
    "Lx = 0.12  # unit cell size in x direction\n",
    "Ly = 0.3  # unit cell size in y direction\n",
    "d1 = 0.03  # antenna thickness\n",
    "d2 = 0.05  # spacer thickness\n",
    "d3 = 0.13  # gold layer thickness\n",
    "w = 0.09  # antenna width\n",
    "inf_eff = 1e2  # effective infinity\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7683ef7c",
   "metadata": {},
   "source": [
    "Three materials will be defined in this model: gold for the antennas and the back plate, magnesium fluoride for the spacer, and silica for the substrate. Magnesium fluoride and silica will be modeled as lossless and non-dispersive dielectrics while gold will be modeled as a dispersive medium. \n",
    "\n",
    "More specifically, magnesium fluoride has a permittivity of 1.892 and silica has a permittivity of 2.25. For gold, we use one option from the Tidy3D's built-in [material library](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/material_library.html). More specifically, we use the evaporated gold data from [Olmon et al](https://journals.aps.org/prb/abstract/10.1103/PhysRevB.86.235147). There are other options for gold, as well as other common materials, in the [material library](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/material_library.html)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "bc841987",
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   "outputs": [],
   "source": [
    "# define MgF2 material for the spacer layer\n",
    "mgf2 = td.Medium(permittivity=1.892)\n",
    "\n",
    "# using material library gold refractive index\n",
    "au = td.material_library[\"Au\"][\"Olmon2012evaporated\"]\n",
    "\n",
    "# define SiO2 material for the substrate\n",
    "sio2 = td.Medium(permittivity=2.25)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c8fc4946",
   "metadata": {},
   "source": [
    "Construct the substrate, gold film, spacer, and antenna structures.  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "3a0ec4b0",
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    "execution": {
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   "outputs": [],
   "source": [
    "# define SiO2 substrate\n",
    "sub = td.Structure(\n",
    "    geometry=td.Box.from_bounds(\n",
    "        rmin=(-inf_eff, -inf_eff, -inf_eff), rmax=(inf_eff, inf_eff, -d3)\n",
    "    ),\n",
    "    medium=sio2,\n",
    ")\n",
    "\n",
    "# define gold layer\n",
    "gold_layer = td.Structure(\n",
    "    geometry=td.Box.from_bounds(\n",
    "        rmin=(-inf_eff, -inf_eff, -d3), rmax=(inf_eff, inf_eff, 0)\n",
    "    ),\n",
    "    medium=au,\n",
    ")\n",
    "\n",
    "# define MgF2 spacer layer\n",
    "spacer = td.Structure(\n",
    "    geometry=td.Box.from_bounds(\n",
    "        rmin=(-inf_eff, -inf_eff, 0), rmax=(inf_eff, inf_eff, d2)\n",
    "    ),\n",
    "    medium=mgf2,\n",
    ")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "499e1fd9",
   "metadata": {},
   "source": [
    "Define a linearly polarized [PlaneWave](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.PlaneWave.html) as the excitation source. The polarization is chosen to be in the y direction. Also define a [DiffractionMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.DiffractionMonitor.html) on the reflection side to extract the complex reflection coefficient."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "2e992653",
   "metadata": {
    "execution": {
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     "shell.execute_reply": "2023-09-10T22:25:55.947763Z"
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   },
   "outputs": [],
   "source": [
    "fwidth = freq0 / 10  # width of the gaussian pulse\n",
    "\n",
    "# define a plane wave excitation source\n",
    "plane_wave = td.PlaneWave(\n",
    "    source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
    "    size=(td.inf, td.inf, 0),\n",
    "    center=(0, 0, 0.3 * lda0),\n",
    "    direction=\"-\",\n",
    "    pol_angle=np.pi / 2,  # polarization is set to y direction\n",
    ")\n",
    "\n",
    "# define a diffraction monitor to calculate the reflection coefficient\n",
    "monitor_r = td.DiffractionMonitor(\n",
    "    center=[0, 0, 0.6 * lda0], size=[td.inf, td.inf, 0], freqs=[freq0], name=\"R\"\n",
    ")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8a4fc1d4",
   "metadata": {},
   "source": [
    "To perform a parameter sweep over antenna length, it is convenient to define a function that builds the simulation with a given antenna length $L$. Later, this function will be called repeatedly to construct a simulation batch for parameter sweep."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "b5dd0601",
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    "execution": {
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   },
   "outputs": [],
   "source": [
    "Lz = 1.5 * lda0  # simulation domain size in z direction\n",
    "sim_size = [Lx, Ly, Lz]\n",
    "\n",
    "run_time = 3e-13  # simulation run time\n",
    "\n",
    "boundary_spec = td.BoundarySpec(\n",
    "    x=td.Boundary.periodic(),\n",
    "    y=td.Boundary.periodic(),\n",
    "    z=td.Boundary(minus=td.PML(), plus=td.PML()),\n",
    ")\n",
    "\n",
    "# define a function to build simulation given antenna length L\n",
    "def make_sim(L):\n",
    "    # define the gold antenna\n",
    "    antenna = td.Structure(\n",
    "        geometry=td.Box.from_bounds(\n",
    "            rmin=(-w / 2, -L / 2, d2), rmax=(w / 2, L / 2, d2 + d1)\n",
    "        ),\n",
    "        medium=au,\n",
    "    )\n",
    "    unit_cell = [sub, gold_layer, spacer, antenna]\n",
    "\n",
    "    # set up simulation\n",
    "    sim = td.Simulation(\n",
    "        size=sim_size,\n",
    "        grid_spec=td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lda0),\n",
    "        structures=unit_cell,\n",
    "        sources=[plane_wave],\n",
    "        monitors=[monitor_r],\n",
    "        run_time=run_time,\n",
    "        boundary_spec=boundary_spec,  # pml is applied to z direction. x and y directions are periodic\n",
    "    )\n",
    "    return sim\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a757a540",
   "metadata": {},
   "source": [
    "To ensure the simulation setup is correct, let's test a specific case where the antenna length is 150 nm and visualize the simulation. From the plot, the geometry, source, and monitor all seem to be correctly defined. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
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    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# test a case where the antenna length is 150 nm\n",
    "sim = make_sim(0.15)\n",
    "# visualize the simulation\n",
    "sim.plot(x=0)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "81c032c0",
   "metadata": {},
   "source": [
    "To have a better visualization, we can also plot the simulation in 3D."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "0fc6495c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-09-10T22:25:56.226143Z",
     "iopub.status.busy": "2023-09-10T22:25:56.225924Z",
     "iopub.status.idle": "2023-09-10T22:25:56.245946Z",
     "shell.execute_reply": "2023-09-10T22:25:56.245457Z"
    }
   },
   "outputs": [
    {
     "data": {
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    "Now we are ready to perform the parameter sweep. In this particular case, we investigate antenna length from 40 nm to 280 nm. This is broken down into 14 simulations. A simulation batch is constructed by calling the `make_sim` function with different antenna lengths. "
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    "Ls = np.linspace(0.04, 0.28, 14)  # antenna lengths for parameter sweep\n",
    "\n",
    "sims = {f\"L={L:.2f}\": make_sim(L) for L in Ls}  # construct simulation batch\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>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'L=0.08'</span> with task_id                      <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/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-docs/tidy3d/tidy3d/web/webapi.py#188\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">188</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-c65925e3-464b-42bf-8323-3040b5a315b5v1'</span>.          <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'\u001b[0m\u001b[32mL\u001b[0m\u001b[32m=\u001b[0m\u001b[32m0\u001b[0m\u001b[32m.08'\u001b[0m with task_id                      \u001b]8;id=286873;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=16996;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#188\u001b\\\u001b[2m188\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b[32m'fdve-c65925e3-464b-42bf-8323-3040b5a315b5v1'\u001b[0m.          \u001b[2m             \u001b[0m\n"
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-c65925e3-464b-42bf-8323-3040b5a315b5v1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-</span></a> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-c65925e3-464b-42bf-8323-3040b5a315b5v1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">c65925e3-464b-42bf-8323-3040b5a315b5v1'</span></a>.                <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
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       "\u001b[2;36m           \u001b[0m\u001b]8;id=600586;https://tidy3d.simulation.cloud/workbench?taskId=fdve-c65925e3-464b-42bf-8323-3040b5a315b5v1\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=97060;https://tidy3d.simulation.cloud/workbench?taskId=fdve-c65925e3-464b-42bf-8323-3040b5a315b5v1\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=600586;https://tidy3d.simulation.cloud/workbench?taskId=fdve-c65925e3-464b-42bf-8323-3040b5a315b5v1\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=435257;https://tidy3d.simulation.cloud/workbench?taskId=fdve-c65925e3-464b-42bf-8323-3040b5a315b5v1\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=600586;https://tidy3d.simulation.cloud/workbench?taskId=fdve-c65925e3-464b-42bf-8323-3040b5a315b5v1\u001b\\\u001b[32m-\u001b[0m\u001b]8;;\u001b\\ \u001b[2m             \u001b[0m\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=600586;https://tidy3d.simulation.cloud/workbench?taskId=fdve-c65925e3-464b-42bf-8323-3040b5a315b5v1\u001b\\\u001b[32mc65925e3-464b-42bf-8323-3040b5a315b5v1'\u001b[0m\u001b]8;;\u001b\\.                \u001b[2m             \u001b[0m\n"
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-a546a4e8-3069-418b-990f-3dd273f2650bv1'</span>.          <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'\u001b[0m\u001b[32mL\u001b[0m\u001b[32m=\u001b[0m\u001b[32m0\u001b[0m\u001b[32m.10'\u001b[0m with task_id                      \u001b]8;id=674925;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=425991;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#188\u001b\\\u001b[2m188\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b[32m'fdve-a546a4e8-3069-418b-990f-3dd273f2650bv1'\u001b[0m.          \u001b[2m             \u001b[0m\n"
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-a546a4e8-3069-418b-990f-3dd273f2650bv1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-</span></a> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                               \u001b]8;id=321300;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=107724;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#190\u001b\\\u001b[2m190\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=788162;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a546a4e8-3069-418b-990f-3dd273f2650bv1\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=482382;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a546a4e8-3069-418b-990f-3dd273f2650bv1\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=788162;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a546a4e8-3069-418b-990f-3dd273f2650bv1\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=420991;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a546a4e8-3069-418b-990f-3dd273f2650bv1\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=788162;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a546a4e8-3069-418b-990f-3dd273f2650bv1\u001b\\\u001b[32m-\u001b[0m\u001b]8;;\u001b\\ \u001b[2m             \u001b[0m\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=788162;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a546a4e8-3069-418b-990f-3dd273f2650bv1\u001b\\\u001b[32ma546a4e8-3069-418b-990f-3dd273f2650bv1'\u001b[0m\u001b]8;;\u001b\\.                \u001b[2m             \u001b[0m\n"
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-fa7a4d07-6cd1-4789-8751-162ecd3a0434v1'</span>.          <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
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       "\u001b[2;36m           \u001b[0m\u001b[32m'fdve-fa7a4d07-6cd1-4789-8751-162ecd3a0434v1'\u001b[0m.          \u001b[2m             \u001b[0m\n"
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-fa7a4d07-6cd1-4789-8751-162ecd3a0434v1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-</span></a> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-fa7a4d07-6cd1-4789-8751-162ecd3a0434v1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">fa7a4d07-6cd1-4789-8751-162ecd3a0434v1'</span></a>.                <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                               \u001b]8;id=452202;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=812854;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#190\u001b\\\u001b[2m190\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=153444;https://tidy3d.simulation.cloud/workbench?taskId=fdve-fa7a4d07-6cd1-4789-8751-162ecd3a0434v1\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=506504;https://tidy3d.simulation.cloud/workbench?taskId=fdve-fa7a4d07-6cd1-4789-8751-162ecd3a0434v1\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=153444;https://tidy3d.simulation.cloud/workbench?taskId=fdve-fa7a4d07-6cd1-4789-8751-162ecd3a0434v1\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=376038;https://tidy3d.simulation.cloud/workbench?taskId=fdve-fa7a4d07-6cd1-4789-8751-162ecd3a0434v1\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=153444;https://tidy3d.simulation.cloud/workbench?taskId=fdve-fa7a4d07-6cd1-4789-8751-162ecd3a0434v1\u001b\\\u001b[32m-\u001b[0m\u001b]8;;\u001b\\ \u001b[2m             \u001b[0m\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=153444;https://tidy3d.simulation.cloud/workbench?taskId=fdve-fa7a4d07-6cd1-4789-8751-162ecd3a0434v1\u001b\\\u001b[32mfa7a4d07-6cd1-4789-8751-162ecd3a0434v1'\u001b[0m\u001b]8;;\u001b\\.                \u001b[2m             \u001b[0m\n"
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-f82f063f-f7c8-4887-8fe5-f3b9cdf19db0v1'</span>.          <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'\u001b[0m\u001b[32mL\u001b[0m\u001b[32m=\u001b[0m\u001b[32m0\u001b[0m\u001b[32m.13'\u001b[0m with task_id                      \u001b]8;id=675032;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=620181;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#188\u001b\\\u001b[2m188\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b[32m'fdve-f82f063f-f7c8-4887-8fe5-f3b9cdf19db0v1'\u001b[0m.          \u001b[2m             \u001b[0m\n"
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                               \u001b]8;id=951808;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=5693;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#190\u001b\\\u001b[2m190\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=961018;https://tidy3d.simulation.cloud/workbench?taskId=fdve-f82f063f-f7c8-4887-8fe5-f3b9cdf19db0v1\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=554205;https://tidy3d.simulation.cloud/workbench?taskId=fdve-f82f063f-f7c8-4887-8fe5-f3b9cdf19db0v1\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=961018;https://tidy3d.simulation.cloud/workbench?taskId=fdve-f82f063f-f7c8-4887-8fe5-f3b9cdf19db0v1\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=463006;https://tidy3d.simulation.cloud/workbench?taskId=fdve-f82f063f-f7c8-4887-8fe5-f3b9cdf19db0v1\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=961018;https://tidy3d.simulation.cloud/workbench?taskId=fdve-f82f063f-f7c8-4887-8fe5-f3b9cdf19db0v1\u001b\\\u001b[32m-\u001b[0m\u001b]8;;\u001b\\ \u001b[2m             \u001b[0m\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=961018;https://tidy3d.simulation.cloud/workbench?taskId=fdve-f82f063f-f7c8-4887-8fe5-f3b9cdf19db0v1\u001b\\\u001b[32mf82f063f-f7c8-4887-8fe5-f3b9cdf19db0v1'\u001b[0m\u001b]8;;\u001b\\.                \u001b[2m             \u001b[0m\n"
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       "\u001b[2;36m           \u001b[0m\u001b[32m'fdve-34f68355-13a7-4ca5-9814-d5e6dc0d3a00v1'\u001b[0m.          \u001b[2m             \u001b[0m\n"
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       "\u001b[2;36m           \u001b[0m\u001b]8;id=19406;https://tidy3d.simulation.cloud/workbench?taskId=fdve-34f68355-13a7-4ca5-9814-d5e6dc0d3a00v1\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=849855;https://tidy3d.simulation.cloud/workbench?taskId=fdve-34f68355-13a7-4ca5-9814-d5e6dc0d3a00v1\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=19406;https://tidy3d.simulation.cloud/workbench?taskId=fdve-34f68355-13a7-4ca5-9814-d5e6dc0d3a00v1\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=285949;https://tidy3d.simulation.cloud/workbench?taskId=fdve-34f68355-13a7-4ca5-9814-d5e6dc0d3a00v1\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=19406;https://tidy3d.simulation.cloud/workbench?taskId=fdve-34f68355-13a7-4ca5-9814-d5e6dc0d3a00v1\u001b\\\u001b[32m-\u001b[0m\u001b]8;;\u001b\\ \u001b[2m             \u001b[0m\n",
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       "\u001b[2;36m           \u001b[0m\u001b[32m'fdve-72490fcf-240e-480c-80e4-a27a55ddf850v1'\u001b[0m.          \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>View task using web UI at                               <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/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-docs/tidy3d/tidy3d/web/webapi.py#190\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">190</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-72490fcf-240e-480c-80e4-a27a55ddf850v1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-</span></a> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-72490fcf-240e-480c-80e4-a27a55ddf850v1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">72490fcf-240e-480c-80e4-a27a55ddf850v1'</span></a>.                <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                               \u001b]8;id=377844;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=805699;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#190\u001b\\\u001b[2m190\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=751985;https://tidy3d.simulation.cloud/workbench?taskId=fdve-72490fcf-240e-480c-80e4-a27a55ddf850v1\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=934560;https://tidy3d.simulation.cloud/workbench?taskId=fdve-72490fcf-240e-480c-80e4-a27a55ddf850v1\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=751985;https://tidy3d.simulation.cloud/workbench?taskId=fdve-72490fcf-240e-480c-80e4-a27a55ddf850v1\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=688156;https://tidy3d.simulation.cloud/workbench?taskId=fdve-72490fcf-240e-480c-80e4-a27a55ddf850v1\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=751985;https://tidy3d.simulation.cloud/workbench?taskId=fdve-72490fcf-240e-480c-80e4-a27a55ddf850v1\u001b\\\u001b[32m-\u001b[0m\u001b]8;;\u001b\\ \u001b[2m             \u001b[0m\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=751985;https://tidy3d.simulation.cloud/workbench?taskId=fdve-72490fcf-240e-480c-80e4-a27a55ddf850v1\u001b\\\u001b[32m72490fcf-240e-480c-80e4-a27a55ddf850v1'\u001b[0m\u001b]8;;\u001b\\.                \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\">[15:26:00] </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'L=0.19'</span> with task_id                      <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/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-docs/tidy3d/tidy3d/web/webapi.py#188\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">188</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-74c8edad-027a-4e99-8cb6-8a8bca309036v1'</span>.          <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
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       "\u001b[2;36m[15:26:00]\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'\u001b[0m\u001b[32mL\u001b[0m\u001b[32m=\u001b[0m\u001b[32m0\u001b[0m\u001b[32m.19'\u001b[0m with task_id                      \u001b]8;id=368290;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=380773;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#188\u001b\\\u001b[2m188\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b[32m'fdve-74c8edad-027a-4e99-8cb6-8a8bca309036v1'\u001b[0m.          \u001b[2m             \u001b[0m\n"
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-74c8edad-027a-4e99-8cb6-8a8bca309036v1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-</span></a> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-74c8edad-027a-4e99-8cb6-8a8bca309036v1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">74c8edad-027a-4e99-8cb6-8a8bca309036v1'</span></a>.                <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                               \u001b]8;id=541060;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=781060;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#190\u001b\\\u001b[2m190\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=184179;https://tidy3d.simulation.cloud/workbench?taskId=fdve-74c8edad-027a-4e99-8cb6-8a8bca309036v1\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=625795;https://tidy3d.simulation.cloud/workbench?taskId=fdve-74c8edad-027a-4e99-8cb6-8a8bca309036v1\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=184179;https://tidy3d.simulation.cloud/workbench?taskId=fdve-74c8edad-027a-4e99-8cb6-8a8bca309036v1\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=804888;https://tidy3d.simulation.cloud/workbench?taskId=fdve-74c8edad-027a-4e99-8cb6-8a8bca309036v1\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=184179;https://tidy3d.simulation.cloud/workbench?taskId=fdve-74c8edad-027a-4e99-8cb6-8a8bca309036v1\u001b\\\u001b[32m-\u001b[0m\u001b]8;;\u001b\\ \u001b[2m             \u001b[0m\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=184179;https://tidy3d.simulation.cloud/workbench?taskId=fdve-74c8edad-027a-4e99-8cb6-8a8bca309036v1\u001b\\\u001b[32m74c8edad-027a-4e99-8cb6-8a8bca309036v1'\u001b[0m\u001b]8;;\u001b\\.                \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>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'L=0.21'</span> with task_id                      <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/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-docs/tidy3d/tidy3d/web/webapi.py#188\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">188</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-cc069453-3324-4783-824a-b3ba3e41d4fcv1'</span>.          <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'\u001b[0m\u001b[32mL\u001b[0m\u001b[32m=\u001b[0m\u001b[32m0\u001b[0m\u001b[32m.21'\u001b[0m with task_id                      \u001b]8;id=433912;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=473089;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#188\u001b\\\u001b[2m188\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b[32m'fdve-cc069453-3324-4783-824a-b3ba3e41d4fcv1'\u001b[0m.          \u001b[2m             \u001b[0m\n"
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-cc069453-3324-4783-824a-b3ba3e41d4fcv1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-</span></a> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-cc069453-3324-4783-824a-b3ba3e41d4fcv1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">cc069453-3324-4783-824a-b3ba3e41d4fcv1'</span></a>.                <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
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       "\u001b[2;36m           \u001b[0m\u001b]8;id=918129;https://tidy3d.simulation.cloud/workbench?taskId=fdve-cc069453-3324-4783-824a-b3ba3e41d4fcv1\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=224628;https://tidy3d.simulation.cloud/workbench?taskId=fdve-cc069453-3324-4783-824a-b3ba3e41d4fcv1\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=918129;https://tidy3d.simulation.cloud/workbench?taskId=fdve-cc069453-3324-4783-824a-b3ba3e41d4fcv1\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=348945;https://tidy3d.simulation.cloud/workbench?taskId=fdve-cc069453-3324-4783-824a-b3ba3e41d4fcv1\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=918129;https://tidy3d.simulation.cloud/workbench?taskId=fdve-cc069453-3324-4783-824a-b3ba3e41d4fcv1\u001b\\\u001b[32m-\u001b[0m\u001b]8;;\u001b\\ \u001b[2m             \u001b[0m\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=918129;https://tidy3d.simulation.cloud/workbench?taskId=fdve-cc069453-3324-4783-824a-b3ba3e41d4fcv1\u001b\\\u001b[32mcc069453-3324-4783-824a-b3ba3e41d4fcv1'\u001b[0m\u001b]8;;\u001b\\.                \u001b[2m             \u001b[0m\n"
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'\u001b[0m\u001b[32mL\u001b[0m\u001b[32m=\u001b[0m\u001b[32m0\u001b[0m\u001b[32m.22'\u001b[0m with task_id                      \u001b]8;id=596955;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=558110;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#188\u001b\\\u001b[2m188\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b[32m'fdve-2dec033c-1279-4529-ae28-01f965d10b6cv1'\u001b[0m.          \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>View task using web UI at                               <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/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-docs/tidy3d/tidy3d/web/webapi.py#190\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">190</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-2dec033c-1279-4529-ae28-01f965d10b6cv1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-</span></a> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-2dec033c-1279-4529-ae28-01f965d10b6cv1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">2dec033c-1279-4529-ae28-01f965d10b6cv1'</span></a>.                <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                               \u001b]8;id=694262;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=365733;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#190\u001b\\\u001b[2m190\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=603257;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2dec033c-1279-4529-ae28-01f965d10b6cv1\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=988860;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2dec033c-1279-4529-ae28-01f965d10b6cv1\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=603257;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2dec033c-1279-4529-ae28-01f965d10b6cv1\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=222239;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2dec033c-1279-4529-ae28-01f965d10b6cv1\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=603257;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2dec033c-1279-4529-ae28-01f965d10b6cv1\u001b\\\u001b[32m-\u001b[0m\u001b]8;;\u001b\\ \u001b[2m             \u001b[0m\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=603257;https://tidy3d.simulation.cloud/workbench?taskId=fdve-2dec033c-1279-4529-ae28-01f965d10b6cv1\u001b\\\u001b[32m2dec033c-1279-4529-ae28-01f965d10b6cv1'\u001b[0m\u001b]8;;\u001b\\.                \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\">[15:26:01] </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'L=0.24'</span> with task_id                      <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/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-docs/tidy3d/tidy3d/web/webapi.py#188\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">188</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-a7150ddc-2dbb-4e87-933f-37dde47ae60av1'</span>.          <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
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       "\u001b[2;36m[15:26:01]\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'\u001b[0m\u001b[32mL\u001b[0m\u001b[32m=\u001b[0m\u001b[32m0\u001b[0m\u001b[32m.24'\u001b[0m with task_id                      \u001b]8;id=671526;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=125695;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#188\u001b\\\u001b[2m188\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b[32m'fdve-a7150ddc-2dbb-4e87-933f-37dde47ae60av1'\u001b[0m.          \u001b[2m             \u001b[0m\n"
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-a7150ddc-2dbb-4e87-933f-37dde47ae60av1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-</span></a> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-a7150ddc-2dbb-4e87-933f-37dde47ae60av1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">a7150ddc-2dbb-4e87-933f-37dde47ae60av1'</span></a>.                <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                               \u001b]8;id=336727;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=329600;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#190\u001b\\\u001b[2m190\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=561207;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a7150ddc-2dbb-4e87-933f-37dde47ae60av1\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=151311;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a7150ddc-2dbb-4e87-933f-37dde47ae60av1\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=561207;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a7150ddc-2dbb-4e87-933f-37dde47ae60av1\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=296563;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a7150ddc-2dbb-4e87-933f-37dde47ae60av1\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=561207;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a7150ddc-2dbb-4e87-933f-37dde47ae60av1\u001b\\\u001b[32m-\u001b[0m\u001b]8;;\u001b\\ \u001b[2m             \u001b[0m\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=561207;https://tidy3d.simulation.cloud/workbench?taskId=fdve-a7150ddc-2dbb-4e87-933f-37dde47ae60av1\u001b\\\u001b[32ma7150ddc-2dbb-4e87-933f-37dde47ae60av1'\u001b[0m\u001b]8;;\u001b\\.                \u001b[2m             \u001b[0m\n"
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-1e6b582f-08e4-4c36-86b9-b8f2d4a7aff7v1'</span>.          <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'\u001b[0m\u001b[32mL\u001b[0m\u001b[32m=\u001b[0m\u001b[32m0\u001b[0m\u001b[32m.26'\u001b[0m with task_id                      \u001b]8;id=194832;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=589674;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#188\u001b\\\u001b[2m188\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b[32m'fdve-1e6b582f-08e4-4c36-86b9-b8f2d4a7aff7v1'\u001b[0m.          \u001b[2m             \u001b[0m\n"
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-1e6b582f-08e4-4c36-86b9-b8f2d4a7aff7v1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-</span></a> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-1e6b582f-08e4-4c36-86b9-b8f2d4a7aff7v1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">1e6b582f-08e4-4c36-86b9-b8f2d4a7aff7v1'</span></a>.                <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                               \u001b]8;id=945334;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=135664;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#190\u001b\\\u001b[2m190\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=237737;https://tidy3d.simulation.cloud/workbench?taskId=fdve-1e6b582f-08e4-4c36-86b9-b8f2d4a7aff7v1\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=289298;https://tidy3d.simulation.cloud/workbench?taskId=fdve-1e6b582f-08e4-4c36-86b9-b8f2d4a7aff7v1\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=237737;https://tidy3d.simulation.cloud/workbench?taskId=fdve-1e6b582f-08e4-4c36-86b9-b8f2d4a7aff7v1\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=906316;https://tidy3d.simulation.cloud/workbench?taskId=fdve-1e6b582f-08e4-4c36-86b9-b8f2d4a7aff7v1\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=237737;https://tidy3d.simulation.cloud/workbench?taskId=fdve-1e6b582f-08e4-4c36-86b9-b8f2d4a7aff7v1\u001b\\\u001b[32m-\u001b[0m\u001b]8;;\u001b\\ \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\">[15:26:02] </span>Created task <span style=\"color: #008000; text-decoration-color: #008000\">'L=0.28'</span> with task_id                      <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/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-docs/tidy3d/tidy3d/web/webapi.py#188\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">188</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #008000; text-decoration-color: #008000\">'fdve-25341407-28a4-4923-bb2d-9fa9e1886344v1'</span>.          <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
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      "text/plain": [
       "\u001b[2;36m[15:26:02]\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'\u001b[0m\u001b[32mL\u001b[0m\u001b[32m=\u001b[0m\u001b[32m0\u001b[0m\u001b[32m.28'\u001b[0m with task_id                      \u001b]8;id=555479;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=325226;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#188\u001b\\\u001b[2m188\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b[32m'fdve-25341407-28a4-4923-bb2d-9fa9e1886344v1'\u001b[0m.          \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>View task using web UI at                               <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/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-docs/tidy3d/tidy3d/web/webapi.py#190\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">190</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-25341407-28a4-4923-bb2d-9fa9e1886344v1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">'https://tidy3d.simulation.cloud/workbench?taskId=fdve-</span></a> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><a href=\"https://tidy3d.simulation.cloud/workbench?taskId=fdve-25341407-28a4-4923-bb2d-9fa9e1886344v1\" target=\"_blank\"><span style=\"color: #008000; text-decoration-color: #008000\">25341407-28a4-4923-bb2d-9fa9e1886344v1'</span></a>.                <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at                               \u001b]8;id=479533;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=312286;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#190\u001b\\\u001b[2m190\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=481271;https://tidy3d.simulation.cloud/workbench?taskId=fdve-25341407-28a4-4923-bb2d-9fa9e1886344v1\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=911202;https://tidy3d.simulation.cloud/workbench?taskId=fdve-25341407-28a4-4923-bb2d-9fa9e1886344v1\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=481271;https://tidy3d.simulation.cloud/workbench?taskId=fdve-25341407-28a4-4923-bb2d-9fa9e1886344v1\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=731521;https://tidy3d.simulation.cloud/workbench?taskId=fdve-25341407-28a4-4923-bb2d-9fa9e1886344v1\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=481271;https://tidy3d.simulation.cloud/workbench?taskId=fdve-25341407-28a4-4923-bb2d-9fa9e1886344v1\u001b\\\u001b[32m-\u001b[0m\u001b]8;;\u001b\\ \u001b[2m             \u001b[0m\n",
       "\u001b[2;36m           \u001b[0m\u001b]8;id=481271;https://tidy3d.simulation.cloud/workbench?taskId=fdve-25341407-28a4-4923-bb2d-9fa9e1886344v1\u001b\\\u001b[32m25341407-28a4-4923-bb2d-9fa9e1886344v1'\u001b[0m\u001b]8;;\u001b\\.                \u001b[2m             \u001b[0m\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\">[15:26:06] </span>Started working on Batch.                            <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/container.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">container.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/container.py#475\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">475</span></a>\n",
       "</pre>\n"
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      "text/plain": [
       "\u001b[2;36m[15:26:06]\u001b[0m\u001b[2;36m \u001b[0mStarted working on Batch.                            \u001b]8;id=203477;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/container.py\u001b\\\u001b[2mcontainer.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=717304;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/container.py#475\u001b\\\u001b[2m475\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\">[15:26:11] </span>Maximum FlexCredit cost: <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0.350</span> for the whole batch.  <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/container.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">container.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/container.py#479\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">479</span></a>\n",
       "<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 <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>cost after the Batch has completed.                  <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[15:26:11]\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.350\u001b[0m for the whole batch.  \u001b]8;id=410868;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/container.py\u001b\\\u001b[2mcontainer.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=171907;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/container.py#479\u001b\\\u001b[2m479\u001b[0m\u001b]8;;\u001b\\\n",
       "\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 \u001b[2m                \u001b[0m\n",
       "\u001b[2;36m           \u001b[0mcost after the Batch has completed.                  \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\">[15:26:48] </span>Batch complete.                                      <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/container.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">container.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/container.py#522\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">522</span></a>\n",
       "</pre>\n"
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       "\u001b[2;36m[15:26:48]\u001b[0m\u001b[2;36m \u001b[0mBatch complete.                                      \u001b]8;id=20277;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/container.py\u001b\\\u001b[2mcontainer.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=710714;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/container.py#522\u001b\\\u001b[2m522\u001b[0m\u001b]8;;\u001b\\\n"
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       "\n"
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   ],
   "source": [
    "# submit simulation batch to the server\n",
    "batch = web.Batch(simulations=sims, verbose=True)\n",
    "batch_results = batch.run(path_dir=\"data\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7d99785f",
   "metadata": {},
   "source": [
    "### Result Analysis "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ed45c1ae",
   "metadata": {},
   "source": [
    "After the simulations are complete, we are ready to extract the reflection coefficients. The reflection coefficient is simply the amplitude of the zero-th diffraction order. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "id": "cc934a6d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-09-10T22:26:49.592557Z",
     "iopub.status.busy": "2023-09-10T22:26:49.592391Z",
     "iopub.status.idle": "2023-09-10T22:26:56.458100Z",
     "shell.execute_reply": "2023-09-10T22:26:56.457533Z"
    }
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>data/fdve-<span style=\"color: #ffff00; text-decoration-color: #ffff00\">e9cb8b5f-8eaf-4a8d-853c-1b1f79bccd01</span>v1.hdf5   <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
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       "\u001b[2;36m[15:26:50]\u001b[0m\u001b[2;36m \u001b[0mloading SimulationData from                             \u001b]8;id=175905;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=441127;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#591\u001b\\\u001b[2m591\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0mdata/fdve-\u001b[93me9cb8b5f-8eaf-4a8d-853c-1b1f79bccd01\u001b[0mv1.hdf5   \u001b[2m             \u001b[0m\n"
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>data/fdve-<span style=\"color: #ffff00; text-decoration-color: #ffff00\">ea215c6c-27f8-4dae-b193-3c90dbdec55c</span>v1.hdf5   <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
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   "source": [
    "# extract the reflection coefficient at each antenna length\n",
    "r = np.zeros(len(Ls), dtype=\"complex\")\n",
    "for i, L in enumerate(Ls):\n",
    "    sim_data = batch_results[f\"L={L:.2f}\"]\n",
    "    r[i] = np.array(sim_data[\"R\"].amps.sel(f=freq0, polarization=\"s\"))[0][0]\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f2c6046f",
   "metadata": {},
   "source": [
    "To visualize the results, we plot the phase of the reflection coefficient and the reflectivity as a function of antenna length. Since the absolute value of the phase does not carry physical significance, we define 0 phase as the phase when the antenna is 40 nm long. The reflectivity decreases slightly when the antenna is 100 nm to 200 nm long but overall the reflectivity is above 80%."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "id": "5479ab80",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-09-10T22:26:56.558846Z",
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     "shell.execute_reply": "2023-09-10T22:26:56.796351Z"
    }
   },
   "outputs": [
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 1000x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot the reflection phase\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(10, 5))\n",
    "theta = np.unwrap(np.angle(r)) * 180 / np.pi\n",
    "theta = theta - theta[0]\n",
    "ax1.plot(Ls, theta)\n",
    "ax1.set_xlabel(\"L ($\\mu m$)\")\n",
    "ax1.set_ylabel(\"Reflection phase (degree)\")\n",
    "\n",
    "# plot the reflectivity\n",
    "ax2.plot(Ls, np.abs(r) ** 2)\n",
    "ax2.set_xlabel(\"L ($\\mu m$)\")\n",
    "ax2.set_ylabel(\"Reflectivity\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "de37db62",
   "metadata": {},
   "source": [
    "## Super Cell Simulation "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "bfba8371",
   "metadata": {},
   "source": [
    "### Simulation Setup "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f384cd09",
   "metadata": {},
   "source": [
    "The above phase relation provides a look-up table such that a gradient metasurface with an arbitrary phase profile can be designed. For example, when designing a metalens, a parabolic phase profile can be used. In this example, we aim to construct a beam steering reflector. Therefore, a linear phase profile is used. \n",
    "\n",
    "Here we adapt the idea from the referenced paper and design a super cell that consists of 10 antennas of 5 different lengths. The lengths are 40 nm, 106 nm, 128 nm, 150 nm, and 260 nm. The plot below confirms that this design indeed yields a nearly linearly varying phase across the super cell."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "id": "964c621c",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-09-10T22:26:56.798906Z",
     "iopub.status.busy": "2023-09-10T22:26:56.798764Z",
     "iopub.status.idle": "2023-09-10T22:26:56.918667Z",
     "shell.execute_reply": "2023-09-10T22:26:56.918167Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N_sample = 5  # number of antenna lengths in a super cell\n",
    "N_repeat = 2  # number of repeated antenna lengths\n",
    "\n",
    "Ls_design = np.array([0.04, 0.106, 0.128, 0.15, 0.26])  # designed antenna lengths\n",
    "\n",
    "theta_design = np.interp(\n",
    "    Ls_design, Ls, theta\n",
    ")  # extract the reflection phase by interpolation the above simulation result\n",
    "\n",
    "# plot phase across the super cell\n",
    "plt.scatter(np.linspace(1, N_sample, N_sample), theta_design)\n",
    "plt.xlabel(\"Site\")\n",
    "plt.ylabel(\"Reflection phase (degree)\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8dc0bb49",
   "metadata": {},
   "source": [
    "To define the geometry of the super cell, we first generate the antennas systematically."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "id": "4306e3c4",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-09-10T22:26:56.922368Z",
     "iopub.status.busy": "2023-09-10T22:26:56.922218Z",
     "iopub.status.idle": "2023-09-10T22:26:56.943022Z",
     "shell.execute_reply": "2023-09-10T22:26:56.942682Z"
    }
   },
   "outputs": [],
   "source": [
    "# construct ten antennas given the designed antenna lengths\n",
    "antennas = []\n",
    "xs = np.linspace(\n",
    "    Lx / 2, (N_sample * N_repeat - 0.5) * Lx, N_sample * N_repeat\n",
    ")  # x coordinates of each antenna\n",
    "\n",
    "# systematically generate antennas in the super cell\n",
    "for i in range(N_sample):\n",
    "    for j in range(N_repeat):\n",
    "        antennas.append(\n",
    "            td.Structure(\n",
    "                geometry=td.Box.from_bounds(\n",
    "                    rmin=(-w / 2 + xs[2 * i + j], -Ls_design[i] / 2, d2),\n",
    "                    rmax=(w / 2 + xs[2 * i + j], Ls_design[i] / 2, d2 + d1),\n",
    "                ),\n",
    "                medium=au,\n",
    "            )\n",
    "        )\n",
    "\n",
    "super_cell = antennas + [spacer, sub, gold_layer]\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "16cf2850",
   "metadata": {},
   "source": [
    "To visualize the reflected field, we add a [FieldMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.FieldMonitor.html) in the xz plane. The simulation domain is lengthened in the z direction such that we can better visualize the reflected field."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "id": "881a0dfa",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-09-10T22:26:56.944867Z",
     "iopub.status.busy": "2023-09-10T22:26:56.944728Z",
     "iopub.status.idle": "2023-09-10T22:26:57.137966Z",
     "shell.execute_reply": "2023-09-10T22:26:57.137475Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[15:26:57] </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING: Default value for the field monitor          </span> <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/components/monitor.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">monitor.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/components/monitor.py#261\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">261</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #008000; text-decoration-color: #008000\">'colocate'</span><span style=\"color: #800000; text-decoration-color: #800000\"> setting has changed to </span><span style=\"color: #008000; text-decoration-color: #008000\">'True'</span><span style=\"color: #800000; text-decoration-color: #800000\"> in Tidy3D    </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">              </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2.4</span><span style=\"color: #800000; text-decoration-color: #800000\">.</span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0</span><span style=\"color: #800000; text-decoration-color: #800000\">. All field components will be colocated to the  </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">              </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #800000; text-decoration-color: #800000\">grid boundaries. Set to </span><span style=\"color: #008000; text-decoration-color: #008000\">'False'</span><span style=\"color: #800000; text-decoration-color: #800000\"> to get the raw fields </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">              </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #800000; text-decoration-color: #800000\">on the Yee grid instead.                              </span> <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">              </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[15:26:57]\u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING: Default value for the field monitor          \u001b[0m \u001b]8;id=471247;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/components/monitor.py\u001b\\\u001b[2mmonitor.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=226762;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/components/monitor.py#261\u001b\\\u001b[2m261\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b[32m'colocate'\u001b[0m\u001b[31m setting has changed to \u001b[0m\u001b[32m'True'\u001b[0m\u001b[31m in Tidy3D    \u001b[0m \u001b[2m              \u001b[0m\n",
       "\u001b[2;36m           \u001b[0m\u001b[1;36m2.4\u001b[0m\u001b[31m.\u001b[0m\u001b[1;36m0\u001b[0m\u001b[31m. All field components will be colocated to the  \u001b[0m \u001b[2m              \u001b[0m\n",
       "\u001b[2;36m           \u001b[0m\u001b[31mgrid boundaries. Set to \u001b[0m\u001b[32m'False'\u001b[0m\u001b[31m to get the raw fields \u001b[0m \u001b[2m              \u001b[0m\n",
       "\u001b[2;36m           \u001b[0m\u001b[31mon the Yee grid instead.                              \u001b[0m \u001b[2m              \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# define a field monitor to visualize the reflected field\n",
    "field_monitor = td.FieldMonitor(\n",
    "    center=(0, 0, 0),\n",
    "    size=(td.inf, 0, td.inf),\n",
    "    freqs=[freq0],\n",
    "    name=\"field\",\n",
    ")\n",
    "\n",
    "\n",
    "# define the super cell simulation\n",
    "sim = td.Simulation(\n",
    "    size=(Lx * N_sample * N_repeat, Ly, 3 * Lz),\n",
    "    center=(Lx * N_sample * N_repeat / 2, 0, 0),\n",
    "    grid_spec=td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lda0),\n",
    "    structures=super_cell,\n",
    "    sources=[plane_wave],\n",
    "    monitors=[monitor_r, field_monitor],\n",
    "    run_time=run_time,\n",
    "    boundary_spec=boundary_spec,\n",
    ")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "f8497002",
   "metadata": {},
   "source": [
    "Visualize the generated antenna structures."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "f7d19e4a",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-09-10T22:26:57.140013Z",
     "iopub.status.busy": "2023-09-10T22:26:57.139847Z",
     "iopub.status.idle": "2023-09-10T22:26:57.297327Z",
     "shell.execute_reply": "2023-09-10T22:26:57.296792Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualize the antennas in the super cell\n",
    "sim.plot(z=d2 + d1)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3fe024e8",
   "metadata": {},
   "source": [
    "Visualize the simulation setup from the xz plane."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "id": "77af7a8d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-09-10T22:26:57.300936Z",
     "iopub.status.busy": "2023-09-10T22:26:57.300747Z",
     "iopub.status.idle": "2023-09-10T22:26:57.449577Z",
     "shell.execute_reply": "2023-09-10T22:26:57.449072Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# visualize the xz plane\n",
    "sim.plot(y=0)\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "838c1c84",
   "metadata": {},
   "source": [
    "To have a better visualization, we can also plot the simulation in 3D."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "id": "071d1429",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-09-10T22:26:57.453174Z",
     "iopub.status.busy": "2023-09-10T22:26:57.452986Z",
     "iopub.status.idle": "2023-09-10T22:26:57.475725Z",
     "shell.execute_reply": "2023-09-10T22:26:57.475230Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "    <iframe id=\"simulation-viewer169438481747074135\" src=https://feature-simulation-viewer.d3a9gfg7glllfq.amplifyapp.com/simulation-viewer?uuid=169438481747074135 width=\"800\" height=\"800\" allowfullscreen=\"true\"></iframe>\n",
       "    <script>\n",
       "        \n",
       "    window.postMessageToViewer169438481747074135 = event => {\n",
       "        if(event.data.type === 'viewer'&&event.data.uuid==='169438481747074135'){\n",
       "            document.getElementById('simulation-viewer169438481747074135').contentWindow.postMessage({ type: 'jupyter', uuid:'169438481747074135', value:{\n",
       "    \"type\": \"Simulation\",\n",
       "    \"center\": [\n",
       "        0.6,\n",
       "        0.0,\n",
       "        0.0\n",
       "    ],\n",
       "    \"size\": [\n",
       "        1.2,\n",
       "        0.3,\n",
       "        3.8249999999999997\n",
       "    ],\n",
       "    \"run_time\": 3e-13,\n",
       "    \"medium\": {\n",
       "        \"name\": null,\n",
       "        \"frequency_range\": null,\n",
       "        \"allow_gain\": false,\n",
       "        \"nonlinear_spec\": null,\n",
       "        \"type\": \"Medium\",\n",
       "        \"permittivity\": 1.0,\n",
       "        \"conductivity\": 0.0\n",
       "    },\n",
       "    \"symmetry\": [\n",
       "        0,\n",
       "        0,\n",
       "        0\n",
       "    ],\n",
       "    \"structures\": [\n",
       "        {\n",
       "            \"geometry\": {\n",
       "                \"type\": \"Box\",\n",
       "                \"center\": [\n",
       "                    0.06,\n",
       "                    0.0,\n",
       "                    0.065\n",
       "                ],\n",
       "                \"size\": [\n",
       "                    0.09,\n",
       "                    0.04,\n",
       "                    0.03\n",
       "                ]\n",
       "            },\n",
       "            \"name\": null,\n",
       "            \"type\": \"Structure\",\n",
       "            \"medium\": {\n",
       "                \"name\": null,\n",
       "                \"frequency_range\": [\n",
       "                    12025369359446.29,\n",
       "                    999308193769986.8\n",
       "                ],\n",
       "                \"allow_gain\": false,\n",
       "                \"nonlinear_spec\": null,\n",
       "                \"type\": \"PoleResidue\",\n",
       "                \"eps_inf\": 5.632132676065586,\n",
       "                \"poles\": [\n",
       "                    [\n",
       "                        {\n",
       "                            \"real\": -208702733035001.06,\n",
       "                            \"imag\": -205285605362650.1\n",
       "                        },\n",
       "                        {\n",
       "                            \"real\": -5278287093117479.0,\n",
       "                            \"imag\": 1877992342820785.5\n",
       "                        }\n",
       "                    ],\n",
       "                    [\n",
       "                        {\n",
       "                            \"real\": -5802337384288.284,\n",
       "                            \"imag\": -6750566414892.662\n",
       "                        },\n",
       "                        {\n",
       "                            \"real\": 4391102400709820.0,\n",
       "                            \"imag\": 6.164348337888482e+18\n",
       "                        }\n",
       "                    ],\n",
       "                    [\n",
       "                        {\n",
       "                            \"real\": -56597670698540.76,\n",
       "                            \"imag\": -8080114483410.944\n",
       "                        },\n",
       "                        {\n",
       "                            \"real\": 895004078070708.5,\n",
       "                            \"imag\": 5.346045584373232e+18\n",
       "                        }\n",
       "                    ]\n",
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       "\u001b[2;36m           \u001b[0m\u001b[32m'fdve-f493f3f2-5a6e-4204-8ce4-b70611e4702av1'\u001b[0m.          \u001b[2m             \u001b[0m\n"
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       "\u001b[2;36m           \u001b[0m\u001b]8;id=254024;https://tidy3d.simulation.cloud/workbench?taskId=fdve-f493f3f2-5a6e-4204-8ce4-b70611e4702av1\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=333453;https://tidy3d.simulation.cloud/workbench?taskId=fdve-f493f3f2-5a6e-4204-8ce4-b70611e4702av1\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=254024;https://tidy3d.simulation.cloud/workbench?taskId=fdve-f493f3f2-5a6e-4204-8ce4-b70611e4702av1\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=588368;https://tidy3d.simulation.cloud/workbench?taskId=fdve-f493f3f2-5a6e-4204-8ce4-b70611e4702av1\u001b\\\u001b[32mfdve\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=254024;https://tidy3d.simulation.cloud/workbench?taskId=fdve-f493f3f2-5a6e-4204-8ce4-b70611e4702av1\u001b\\\u001b[32m-\u001b[0m\u001b]8;;\u001b\\ \u001b[2m             \u001b[0m\n",
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       "\u001b[2;36m           \u001b[0m\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 FlexCredit   \u001b[2m             \u001b[0m\n",
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     "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>starting up solver                                      <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/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-docs/tidy3d/tidy3d/web/webapi.py#377\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">377</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                      \u001b]8;id=365615;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=375091;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#377\u001b\\\u001b[2m377\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>running solver                                          <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/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-docs/tidy3d/tidy3d/web/webapi.py#386\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">386</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mrunning solver                                          \u001b]8;id=694591;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=462565;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#386\u001b\\\u001b[2m386\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>To cancel the simulation, use <span style=\"color: #008000; text-decoration-color: #008000\">'web.abort(task_id)'</span> or   <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/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-docs/tidy3d/tidy3d/web/webapi.py#387\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">387</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span><span style=\"color: #008000; text-decoration-color: #008000\">'web.delete(task_id)'</span> or abort/delete the task in the   <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>web UI. Terminating the Python script will not stop the <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>job running on the cloud.                               <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mTo cancel the simulation, use \u001b[32m'web.abort\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or   \u001b]8;id=477293;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=875386;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#387\u001b\\\u001b[2m387\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m\u001b[32m'web.delete\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m or abort/delete the task in the   \u001b[2m             \u001b[0m\n",
       "\u001b[2;36m           \u001b[0mweb UI. Terminating the Python script will not stop the \u001b[2m             \u001b[0m\n",
       "\u001b[2;36m           \u001b[0mjob running on the cloud.                               \u001b[2m             \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
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       "model_id": "fb2665d008dd4e26802811a631caa07f",
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      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[15:27:16] </span>early shutoff detected, exiting.                        <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/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-docs/tidy3d/tidy3d/web/webapi.py#404\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">404</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[15:27:16]\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected, exiting.                        \u001b]8;id=559586;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=373835;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#404\u001b\\\u001b[2m404\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\">\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\">           </span>status = postprocess                                    <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/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-docs/tidy3d/tidy3d/web/webapi.py#420\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">420</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                    \u001b]8;id=21805;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=608185;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#420\u001b\\\u001b[2m420\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
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      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[15:27:22] </span>status = success                                        <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/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-docs/tidy3d/tidy3d/web/webapi.py#427\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">427</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[15:27:22]\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                        \u001b]8;id=450306;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=186746;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#427\u001b\\\u001b[2m427\u001b[0m\u001b]8;;\u001b\\\n"
      ]
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    {
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"></pre>\n"
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     },
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       "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": {},
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    },
    {
     "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\">[15:27:23] </span>loading SimulationData from data/simulation_data.hdf5   <a href=\"file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/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-docs/tidy3d/tidy3d/web/webapi.py#591\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">591</span></a>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m[15:27:23]\u001b[0m\u001b[2;36m \u001b[0mloading SimulationData from data/simulation_data.hdf5   \u001b]8;id=764097;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=458378;file:///home/momchil/Drive/flexcompute/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#591\u001b\\\u001b[2m591\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "job = web.Job(simulation=sim, task_name=\"beam_steering_metasurface\", verbose=True)\n",
    "sim_data = job.run(path=\"data/simulation_data.hdf5\")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "8fbd776d",
   "metadata": {},
   "source": [
    "### Result Analysis "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "7a750857",
   "metadata": {},
   "source": [
    "After the simulation is complete, we first extract the reflected angles and power from the [DiffractionMonitor](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.DiffractionMonitor.html). Then, plot the power and angle of each diffraction order as a scatter plot in polar coordinate. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "id": "38482225",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-09-10T22:27:23.603225Z",
     "iopub.status.busy": "2023-09-10T22:27:23.603037Z",
     "iopub.status.idle": "2023-09-10T22:27:23.895055Z",
     "shell.execute_reply": "2023-09-10T22:27:23.894628Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "theta = np.array(sim_data[\"R\"].angles[0])  # diffraction angle theta\n",
    "phi = np.array(sim_data[\"R\"].angles[1])  # diffraction angle phi\n",
    "power = np.array(sim_data[\"R\"].power)  # diffraction power of each order\n",
    "\n",
    "# plot the power and angle in polar coordinate\n",
    "fig, ax = plt.subplots(subplot_kw={\"projection\": \"polar\"})\n",
    "plt.scatter(phi, theta * 180 / np.pi, s=60, c=power, vmin=0, vmax=1, cmap=\"bwr\")\n",
    "ax.set_rlim(0, 90)\n",
    "plt.colorbar()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "3fb5584b",
   "metadata": {},
   "source": [
    "To see the power values more clearly, we plot the relationship between the power and the diffraction order. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "id": "b9226e8d",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-09-10T22:27:23.900004Z",
     "iopub.status.busy": "2023-09-10T22:27:23.899851Z",
     "iopub.status.idle": "2023-09-10T22:27:24.034192Z",
     "shell.execute_reply": "2023-09-10T22:27:24.033691Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(sim_data[\"R\"].orders_x, sim_data[\"R\"].power.values[:, 0])\n",
    "plt.xlabel(\"Diffraction order\")\n",
    "plt.ylabel(\"Power\")\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "04c4e9f0",
   "metadata": {},
   "source": [
    "The Above result shows that about 80% of the power is diffracted to about 45 degree. This is consistent with our design since we have $2\\pi/L_x\\approx 0.71k_0 $, where $L_x$ = 1200 nm is the super cell size in the x direction. This gives a diffraction angle of $sin^{-1}(0.71)\\approx 45^{\\circ}$ at the first diffraction order. Note that another 5% of the power that is also diffracted to 45 degree corresponds to the -1 diffraction order.\n",
    "\n",
    "Lastly, visualize the field distribution at the xz plane. The field above the super cell resembles a plane wave propagating at about 45$^{\\circ}$. Clearly it is not a perfect plane wave. The distortion is due to the fact that 5% of the power is diffracted to the -1 order and about 1% to the 0 order. This design can potentially be further optimized."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "id": "d702eca7",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-09-10T22:27:24.037922Z",
     "iopub.status.busy": "2023-09-10T22:27:24.037773Z",
     "iopub.status.idle": "2023-09-10T22:27:24.260787Z",
     "shell.execute_reply": "2023-09-10T22:27:24.260247Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# plot Ey distribution\n",
    "fig, ax = plt.subplots()\n",
    "Ey = sim_data[\"field\"].Ey.sel(f=freq0).real\n",
    "Ey.plot(x=\"x\", y=\"z\", ax=ax, vmin=-100, vmax=100, cmap=\"bwr\")\n",
    "ax.set_aspect(\"equal\")\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "a88ed322",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "applications": [
   "Metamaterials, gratings, and other periodic structures"
  ],
  "description": "This notebook demonstrates how to model a gradient metasurface reflector in Tidy3D FDTD.",
  "feature_image": "./img/gradient_metasurface_reflector_schematic.png",
  "features": [
   "Parameter sweep",
   "Diffraction analysis"
  ],
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "keywords": "gradient metasurface reflector, metamaterial, nanoantenna, Tidy3D, FDTD",
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.16"
  },
  "nbdime-conflicts": {
   "local_diff": [
    {
     "diff": [
      {
       "diff": [
        {
         "key": 0,
         "length": 1,
         "op": "removerange"
        }
       ],
       "key": "version",
       "op": "patch"
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     "key": "language_info",
     "op": "patch"
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   ],
   "remote_diff": [
    {
     "diff": [
      {
       "diff": [
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         "diff": [
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           "key": 5,
           "op": "addrange",
           "valuelist": "9"
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       "key": "version",
       "op": "patch"
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  "title": "Gradient Metasurface Reflector | Flexcompute",
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       "outputs": [
        {
         "data": {
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          "text/html": "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">L=0.04: status = success <span style=\"color: #729c1f; text-decoration-color: #729c1f\">━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━</span> <span style=\"color: #800080; text-decoration-color: #800080\">100%</span> <span style=\"color: #008080; text-decoration-color: #008080\">0:00:00</span>\nL=0.06: status = success <span style=\"color: #729c1f; text-decoration-color: #729c1f\">━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━</span> <span style=\"color: #800080; text-decoration-color: #800080\">100%</span> <span style=\"color: #008080; text-decoration-color: #008080\">0:00:00</span>\nL=0.08: status = success <span style=\"color: #729c1f; text-decoration-color: #729c1f\">━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━</span> <span style=\"color: #800080; text-decoration-color: #800080\">100%</span> <span style=\"color: #008080; text-decoration-color: #008080\">0:00:00</span>\nL=0.10: status = success <span style=\"color: #729c1f; text-decoration-color: #729c1f\">━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━</span> <span style=\"color: #800080; text-decoration-color: #800080\">100%</span> <span style=\"color: #008080; text-decoration-color: #008080\">0:00:00</span>\nL=0.11: status = success <span style=\"color: #729c1f; text-decoration-color: #729c1f\">━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━</span> <span style=\"color: #800080; text-decoration-color: #800080\">100%</span> <span style=\"color: #008080; text-decoration-color: #008080\">0:00:00</span>\nL=0.13: status = success <span style=\"color: #729c1f; text-decoration-color: #729c1f\">━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━</span> <span style=\"color: #800080; text-decoration-color: #800080\">100%</span> <span style=\"color: #008080; text-decoration-color: #008080\">0:00:00</span>\nL=0.15: status = success <span style=\"color: #729c1f; text-decoration-color: #729c1f\">━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━</span> <span style=\"color: #800080; text-decoration-color: #800080\">100%</span> <span style=\"color: #008080; text-decoration-color: #008080\">0:00:00</span>\nL=0.17: status = success <span style=\"color: #729c1f; text-decoration-color: #729c1f\">━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━</span> <span style=\"color: #800080; text-decoration-color: #800080\">100%</span> <span style=\"color: #008080; text-decoration-color: #008080\">0:00:00</span>\nL=0.19: status = success <span style=\"color: #729c1f; text-decoration-color: #729c1f\">━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━</span> <span style=\"color: #800080; text-decoration-color: #800080\">100%</span> <span style=\"color: #008080; text-decoration-color: #008080\">0:00:00</span>\nL=0.21: status = success <span style=\"color: #729c1f; text-decoration-color: #729c1f\">━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━</span> <span style=\"color: #800080; text-decoration-color: #800080\">100%</span> <span style=\"color: #008080; text-decoration-color: #008080\">0:00:00</span>\nL=0.22: status = success <span style=\"color: #729c1f; text-decoration-color: #729c1f\">━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━</span> <span style=\"color: #800080; text-decoration-color: #800080\">100%</span> <span style=\"color: #008080; text-decoration-color: #008080\">0:00:00</span>\nL=0.24: status = success <span style=\"color: #729c1f; text-decoration-color: #729c1f\">━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━</span> <span style=\"color: #800080; text-decoration-color: #800080\">100%</span> <span style=\"color: #008080; text-decoration-color: #008080\">0:00:00</span>\nL=0.26: status = success <span style=\"color: #729c1f; text-decoration-color: #729c1f\">━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━</span> <span style=\"color: #800080; text-decoration-color: #800080\">100%</span> <span style=\"color: #008080; text-decoration-color: #008080\">0:00:00</span>\nL=0.28: status = success <span style=\"color: #729c1f; text-decoration-color: #729c1f\">━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━</span> <span style=\"color: #800080; text-decoration-color: #800080\">100%</span> <span style=\"color: #008080; text-decoration-color: #008080\">0:00:00</span>\n</pre>\n",
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