{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Gold nanoparticle validation\n", "\n", "Plasmonic nanoparticles can exhibit interesting electromagnetic properties at certain frequencies, such as a negative real part of the relative permittivty. Due to their high electrical conductivity, gold nanoparticles can be challenging to model: the rapid field variations inside and near the particles require a fine local discretization. Therefore, an intelligent non-uniform meshing scheme is essential to make sure that the particle is well resolved, while ensuring that the empty space around it does not lead to wasted simulation effort.\n", "\n", "Scattering from a 10 nm gold sphere is modeled in this example, and results are compared to the analytical Mie series. This example uses the total-field-scattered-field ([TFSF](../_autosummary/tidy3d.TFSFSource)) source to excite the particle, and illustrates how to compute various quantities like the total absorbed power, total scattering cross-section, and forward cross-section. A non-uniform mesh is carefully designed to make sure the sphere is well resolved without a significant sacrifice in efficiency." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2023-03-27T21:21:08.383223Z", "iopub.status.busy": "2023-03-27T21:21:08.382165Z", "iopub.status.idle": "2023-03-27T21:21:09.707898Z", "shell.execute_reply": "2023-03-27T21:21:09.707312Z" } }, "outputs": [], "source": [ "# standard python imports\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "# tidy3d imports\n", "import tidy3d as td\n", "import tidy3d.web as web\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Define the structure and boundary conditions\n", "Note the special treatment in creating the mesh: we need to make sure that the mesh is sufficiently fine within the sphere, but we can also make use of `Tidy3D`'s non-uniform meshing algorithm to have a coarser grid outside the sphere, for better efficiency. Furthermore, the TFSF source works best if placed in a region with uniform mesh. Because of this, we will add a mesh override structure which is slightly larger than the sphere itself." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2023-03-27T21:21:09.710712Z", "iopub.status.busy": "2023-03-27T21:21:09.710424Z", "iopub.status.idle": "2023-03-27T21:21:09.732321Z", "shell.execute_reply": "2023-03-27T21:21:09.731718Z" }, "tags": [] }, "outputs": [], "source": [ "# radius and location of the nanoparticle\n", "radius = 5e-3\n", "center = [0, 0, 0]\n", "\n", "# nanoparticle material\n", "medium = td.material_library[\"Au\"][\"RakicLorentzDrude1998\"]\n", "\n", "# free space central wavelength of the pulse excitation\n", "wavelength = 530e-3\n", "f0 = td.C_0 / wavelength\n", "\n", "# bandwidth in Hz\n", "fwidth = f0 / 5.0\n", "fmin = f0 - fwidth\n", "fmax = f0 + fwidth\n", "wavelength_max = td.C_0 / fmin\n", "wavelength_min = td.C_0 / fmax\n", "\n", "# distance between particle and the boundary of the tfsf box\n", "buffer_tfsf = 0.3 * radius\n", "tfsf_size = (radius + buffer_tfsf) * 2\n", "\n", "# distance between the particle and the scattered field region monitors (should be larger than buffer_tfsf)\n", "buffer_out = 0.4 * radius\n", "out_size = (radius + buffer_out) * 2\n", "\n", "# distance between the particle and the total field region monitor (should be smaller than buffer_tfsf)\n", "buffer_in = 0.2 * radius\n", "in_size = (radius + buffer_in) * 2\n", "\n", "# distance between particle and the mesh override region\n", "buffer_override = 0.8 * radius\n", "override_size = (radius + buffer_override) * 2\n", "\n", "# The nanoparticle is very electrically small in the frequency range considered here, and meshing\n", "# based on a standard 10-30 points per wavelength would lead to a grid too coarse to resolve the\n", "# curvature of the sphere. Instead, we just define how many cells we want within the sphere diameter\n", "# by creating a mesh override region\n", "cells_per_wavelength = 50 # for meshing outside of the particle\n", "cells_in_particle = 60 # for the mesh override region\n", "mesh_override = td.MeshOverrideStructure(\n", " geometry=td.Box(center=center, size=(override_size,) * 3),\n", " dl=(2 * radius / cells_in_particle,) * 3,\n", ")\n", "\n", "# create the sphere\n", "sphere = td.Structure(geometry=td.Sphere(center=center, radius=radius), medium=medium)\n", "geometry = [sphere]\n", "\n", "# distance between the surface of the sphere and the start of the PML layers along each cartesian direction\n", "buffer_pml = wavelength_max / 2\n", "\n", "# set the full simulation size along x, y, and z\n", "sim_size = [(radius + buffer_pml) * 2] * 3\n", "\n", "# define PML layers on all sides\n", "boundary_spec = td.BoundarySpec.all_sides(boundary=td.PML())\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Create Source\n", "\n", "For our incident field, we use a TFSF source to inject a plane wave incident from below the sphere polarized in the x direction." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2023-03-27T21:21:09.734741Z", "iopub.status.busy": "2023-03-27T21:21:09.734538Z", "iopub.status.idle": "2023-03-27T21:21:09.753967Z", "shell.execute_reply": "2023-03-27T21:21:09.753363Z" } }, "outputs": [], "source": [ "# time dependence of source\n", "gaussian = td.GaussianPulse(freq0=f0, fwidth=fwidth)\n", "\n", "# the tfsf source is defined as a box around the particle\n", "source = td.TFSF(\n", " center=center,\n", " size=(tfsf_size,) * 3,\n", " source_time=gaussian,\n", " injection_axis=2, # inject along the z axis...\n", " direction=\"+\", # ...in the positive direction, i.e. along z+\n", " name=\"tfsf\",\n", " pol_angle=0,\n", ")\n", "\n", "# Simulation run time\n", "run_time = 10 / fwidth\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Create Monitors\n", "\n", "Next, we define a number of monitors to analyze the simulation.\n", "\n", "- A 3D FluxMonitor inside the TFSF source can be used to compute the power absorbed in the particle. If no power is absorbed, the recorded flux would be 0, since there are no power sources or sinks inside the monitor box. Any flux recorded in the FluxMonitor is then due to the imbalance between the incoming power and the outgoing one, which has been reduced by the particle absorption.\n", "\n", "- A 3D FluxMonitor outside the TFSF region can be used to compute the total cross-section, meaning the total power of scattered radiation in all directions.\n", "\n", "- A [FieldProjectionAngleMonitor](../_autosummary/tidy3d.FieldProjectionAngleMonitor.html) can be used to compute the radiated cross-section at a particular angle.\n", "\n", "- Finally, we also store the fields in a planar cross-section for visualization purposes." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2023-03-27T21:21:09.756619Z", "iopub.status.busy": "2023-03-27T21:21:09.756467Z", "iopub.status.idle": "2023-03-27T21:21:09.777149Z", "shell.execute_reply": "2023-03-27T21:21:09.776571Z" } }, "outputs": [], "source": [ "# set the list of frequencies at which to compute quantities\n", "num_freqs = 100\n", "freqs = np.linspace(f0 - fwidth, f0 + fwidth, 100)\n", "\n", "monitor_flux_out = td.FluxMonitor(\n", " size=[out_size] * 3,\n", " freqs=freqs,\n", " name=\"flux_out\",\n", ")\n", "monitor_flux_in = td.FluxMonitor(\n", " size=[in_size] * 3,\n", " freqs=freqs,\n", " name=\"flux_in\",\n", ")\n", "\n", "# Create near field to far field projection monitor for forward RCS\n", "monitor_n2f = td.FieldProjectionAngleMonitor(\n", " center=center,\n", " size=[out_size] * 3,\n", " freqs=freqs,\n", " name=\"n2f\",\n", " phi=[0],\n", " theta=[0],\n", ")\n", "\n", "# Near field monitor for visualization\n", "monitor_near = td.FieldMonitor(\n", " center=[0, 0, 0],\n", " size=[out_size, 0, out_size],\n", " freqs=[f0],\n", " name=\"near\",\n", ")\n", "\n", "monitors = [monitor_flux_out, monitor_flux_in, monitor_n2f, monitor_near]\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Create Simulation\n", "\n", "Now we can put everything together and define the simulation." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2023-03-27T21:21:09.779321Z", "iopub.status.busy": "2023-03-27T21:21:09.779174Z", "iopub.status.idle": "2023-03-27T21:21:09.806958Z", "shell.execute_reply": "2023-03-27T21:21:09.806359Z" } }, "outputs": [], "source": [ "# since the mesh is extremely fine near the particle and transitions to a coarser mesh farther out,\n", "# we can use the 'max_scale' field to set the largest allowed increase in mesh size from one cell to\n", "# the next, to obtain a gentler gradient; the default is 1.4, and we'll set it to 1.2 here\n", "grid_spec = td.GridSpec.auto(\n", " min_steps_per_wvl=cells_per_wavelength,\n", " override_structures=[mesh_override],\n", " max_scale=1.2,\n", ")\n", "\n", "sim = td.Simulation(\n", " size=sim_size,\n", " grid_spec=grid_spec,\n", " structures=geometry,\n", " sources=[source],\n", " monitors=monitors,\n", " run_time=run_time,\n", " boundary_spec=boundary_spec,\n", " shutoff=1e-8,\n", ")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Visualize Geometry and Mesh\n", "\n", "Let's take a look at the mesh and geometry and make sure everything is defined properly in the simulation. The nanoparticle is very small compared to the simulation and is not visible in the full plot. For better visibility, we also show a zoomed-in plot, which shows how the nanoparticle is meshed. Note that the mesh inside the nanoparticle is quite fine and may not render correctly in the notebook, possibly giving the false impression of being somewhat coarse." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2023-03-27T21:21:09.808891Z", "iopub.status.busy": "2023-03-27T21:21:09.808744Z", "iopub.status.idle": "2023-03-27T21:21:10.263478Z", "shell.execute_reply": "2023-03-27T21:21:10.262937Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(14, 6))\n", "sim.plot(y=0, ax=ax1)\n", "sim.plot_grid(y=0, ax=ax1)\n", "sim.plot(y=0, ax=ax2, monitor_alpha=0.2)\n", "sim.plot_grid(y=0, ax=ax2)\n", "zoom = radius * 2\n", "ax2.axis([-zoom, zoom, -zoom, zoom])\n", "plt.show()\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Run Simulation\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2023-03-27T21:21:10.265696Z", "iopub.status.busy": "2023-03-27T21:21:10.265506Z", "iopub.status.idle": "2023-03-27T21:26:34.074982Z", "shell.execute_reply": "2023-03-27T21:26:34.074382Z" } }, "outputs": [ { "data": { "text/html": [ "
[16:46:04] Created task 'plasmonic_nanoparticle' with task_id                   webapi.py:139\n",
       "           'fdve-430a8829-5092-4c7d-99bb-68a8fd807371v1'.                                    \n",
       "
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     "data": {
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[16:46:06] status = queued                                                      webapi.py:269\n",
       "
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      ],
      "text/plain": [
       "\u001b[2;36m[16:46:06]\u001b[0m\u001b[2;36m \u001b[0mstatus = queued                                                      \u001b]8;id=98122;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=370854;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#269\u001b\\\u001b[2m269\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
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       "Output()"
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     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
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[16:46:08] status = preprocess                                                  webapi.py:263\n",
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      ],
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       "\u001b[2;36m[16:46:08]\u001b[0m\u001b[2;36m \u001b[0mstatus = preprocess                                                  \u001b]8;id=901802;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=975485;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#263\u001b\\\u001b[2m263\u001b[0m\u001b]8;;\u001b\\\n"
      ]
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     "metadata": {},
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       "
[16:46:13] Maximum FlexCredit cost: 1.253. Use 'web.real_cost(task_id)' to get  webapi.py:286\n",
       "           the billed FlexCredit cost after a simulation run.                                \n",
       "
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      ],
      "text/plain": [
       "\u001b[2;36m[16:46:13]\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m1.253\u001b[0m. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get  \u001b]8;id=1415;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=642549;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#286\u001b\\\u001b[2m286\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0mthe billed FlexCredit cost after a simulation run.                   \u001b[2m             \u001b[0m\n"
      ]
     },
     "metadata": {},
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    {
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           starting up solver                                                   webapi.py:290\n",
       "
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      ],
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mstarting up solver                                                   \u001b]8;id=372939;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=947716;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#290\u001b\\\u001b[2m290\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
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           running solver                                                       webapi.py:300\n",
       "
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      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mrunning solver                                                       \u001b]8;id=506630;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=387455;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#300\u001b\\\u001b[2m300\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
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       "Output()"
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[16:51:23] early shutoff detected, exiting.                                     webapi.py:313\n",
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       "\u001b[2;36m[16:51:23]\u001b[0m\u001b[2;36m \u001b[0mearly shutoff detected, exiting.                                     \u001b]8;id=695249;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=535738;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#313\u001b\\\u001b[2m313\u001b[0m\u001b]8;;\u001b\\\n"
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           status = postprocess                                                 webapi.py:330\n",
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0mstatus = postprocess                                                 \u001b]8;id=525539;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=769572;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#330\u001b\\\u001b[2m330\u001b[0m\u001b]8;;\u001b\\\n"
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       "Output()"
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[16:51:29] status = success                                                     webapi.py:337\n",
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       "\u001b[2;36m[16:51:29]\u001b[0m\u001b[2;36m \u001b[0mstatus = success                                                     \u001b]8;id=207541;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=650970;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#337\u001b\\\u001b[2m337\u001b[0m\u001b]8;;\u001b\\\n"
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       "
[16:51:30] loading SimulationData from data/plasmonic_nanoparticle.hdf5         webapi.py:512\n",
       "
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      ],
      "text/plain": [
       "\u001b[2;36m[16:51:30]\u001b[0m\u001b[2;36m \u001b[0mloading SimulationData from data/plasmonic_nanoparticle.hdf5         \u001b]8;id=648975;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=534417;file:///home/momchil/Drive/flexcompute/tidy3d-core/tidy3d_frontend/tidy3d/web/webapi.py#512\u001b\\\u001b[2m512\u001b[0m\u001b]8;;\u001b\\\n"
      ]
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     "metadata": {},
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   ],
   "source": [
    "# Run simulation\n",
    "sim_data = web.run(\n",
    "    sim,\n",
    "    task_name=\"plasmonic_nanoparticle\",\n",
    "    path=\"data/plasmonic_nanoparticle.hdf5\",\n",
    "    verbose=True,\n",
    ")\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Extract the results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T21:26:38.732416Z",
     "iopub.status.busy": "2023-03-27T21:26:38.732122Z",
     "iopub.status.idle": "2023-03-27T21:26:38.761813Z",
     "shell.execute_reply": "2023-03-27T21:26:38.761247Z"
    },
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "# Total absorbed power\n",
    "absorbed = np.abs(sim_data[\"flux_in\"].flux)\n",
    "\n",
    "# Total scattered power\n",
    "scattered = sim_data[\"flux_out\"].flux\n",
    "\n",
    "# Power scattered in the forward direction\n",
    "RCS = np.squeeze(np.real(sim_data[\"n2f\"].radar_cross_section.values))\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Plot Results and Compare with Mie Series\n",
    "\n",
    "The final results are compared against the analytical Mie series below, and very good agreement is observed. The small deviations can be reduced with a further refinement of the grid. Since the sphere's material is dispersive, no subpixel averaging scheme is applied, so the simulation approximates the curved permittivity profile in a staircase-like manner, which contributes to the error."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-03-27T21:26:38.763909Z",
     "iopub.status.busy": "2023-03-27T21:26:38.763763Z",
     "iopub.status.idle": "2023-03-27T21:26:40.241447Z",
     "shell.execute_reply": "2023-03-27T21:26:40.240946Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "
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      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "
"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "
"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    },
    {
     "data": {
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\n",
      "text/plain": [
       "
"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# load Mie series data\n",
    "savefile_flux_abs = \"./misc/mie_plasmonic_flux_abs.txt\"\n",
    "savefile_flux_scat = \"./misc/mie_plasmonic_flux_scat.txt\"\n",
    "savefile_RCS = \"./misc/mie_plasmonic_RCS.txt\"\n",
    "\n",
    "flux_abs_mie = np.loadtxt(savefile_flux_abs, delimiter=\"\\t\", skiprows=1)[:, 1]\n",
    "flux_scat_mie = np.loadtxt(savefile_flux_scat, delimiter=\"\\t\", skiprows=1)[:, 1]\n",
    "RCS_mie = np.loadtxt(savefile_RCS, delimiter=\"\\t\", skiprows=1)[:, 1]\n",
    "\n",
    "\n",
    "def to_db(val):\n",
    "    return val\n",
    "    return 10.0 * np.log10(val)\n",
    "\n",
    "\n",
    "fig, ax = plt.subplots(1, 3, figsize=(15, 3))\n",
    "sim_data.plot_field(\n",
    "    field_monitor_name=\"near\", field_name=\"Ex\", val=\"abs\", f=f0, ax=ax[0]\n",
    ")\n",
    "sim_data.plot_field(\n",
    "    field_monitor_name=\"near\", field_name=\"Ey\", val=\"abs\", f=f0, ax=ax[1]\n",
    ")\n",
    "sim_data.plot_field(\n",
    "    field_monitor_name=\"near\", field_name=\"Ez\", val=\"abs\", f=f0, ax=ax[2]\n",
    ")\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(5, 3))\n",
    "ax.plot(td.C_0 / freqs * 1e3, to_db(RCS_mie), \"-k\", label=\"Mie\")\n",
    "ax.plot(td.C_0 / freqs * 1e3, to_db(RCS), \"--r\", label=\"Tidy3D\", mfc=\"None\")\n",
    "ax.set(\n",
    "    xlabel=\"Wavelength (nm)\",\n",
    "    ylabel=\"Forward scattering (dBs$\\\\mu$m)\",\n",
    "    yscale=\"linear\",\n",
    "    xscale=\"linear\",\n",
    ")\n",
    "ax.legend()\n",
    "ax.grid(visible=True, which=\"both\", axis=\"both\", linewidth=0.4)\n",
    "plt.tight_layout()\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(5, 3))\n",
    "ax.plot(td.C_0 / freqs * 1e3, flux_abs_mie, \"-k\", label=\"Mie\")\n",
    "ax.plot(td.C_0 / freqs * 1e3, absorbed, \"--r\", label=\"Tidy3D\", mfc=\"None\")\n",
    "ax.set(\n",
    "    xlabel=\"Wavelength (nm)\",\n",
    "    ylabel=\"Total absorbed power\",\n",
    "    yscale=\"linear\",\n",
    "    xscale=\"linear\",\n",
    ")\n",
    "ax.legend()\n",
    "ax.grid(visible=True, which=\"both\", axis=\"both\", linewidth=0.4)\n",
    "plt.tight_layout()\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(5, 3))\n",
    "ax.plot(td.C_0 / freqs * 1e3, flux_scat_mie, \"-k\", label=\"Mie\")\n",
    "ax.plot(td.C_0 / freqs * 1e3, scattered, \"--r\", label=\"Tidy3D\", mfc=\"None\")\n",
    "ax.set(\n",
    "    xlabel=\"Wavelength (nm)\",\n",
    "    ylabel=\"Total scattered power\",\n",
    "    yscale=\"linear\",\n",
    "    xscale=\"linear\",\n",
    ")\n",
    "ax.legend()\n",
    "ax.grid(visible=True, which=\"both\", axis=\"both\", linewidth=0.4)\n",
    "plt.tight_layout()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.9.12"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {
     "0d29566c0bfe4cdd9cedf670440596f9": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "_dom_classes": [],
       "_model_module": "@jupyter-widgets/output",
       "_model_module_version": "1.0.0",
       "_model_name": "OutputModel",
       "_view_count": null,
       "_view_module": "@jupyter-widgets/output",
       "_view_module_version": "1.0.0",
       "_view_name": "OutputView",
       "layout": "IPY_MODEL_ade05e1bb9a946d9a6e6a50f62967d3d",
       "msg_id": "",
       "outputs": [
        {
         "data": {
          "text/html": "
% done (field decay = 8.92e-09) \u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501 100% 0:00:00\n
\n",
          "text/plain": "% done (field decay = 8.92e-09) \u001b[38;2;114;156;31m\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u001b[0m \u001b[35m100%\u001b[0m \u001b[36m0:00:00\u001b[0m\n"
         },
         "metadata": {},
         "output_type": "display_data"
        }
       ]
      }
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