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    "## Mode sources and mode monitors\n",
    "\n",
    "Run this notebook in your browser using [Binder](https://mybinder.org/v2/gh/flexcompute-readthedocs/tidy3d-docs/readthedocs?labpath=docs%2Fsource%2Fnotebooks%2FModal_sources_monitors.ipynb).\n",
    "\n",
    "Here, we look at a simple demonstration of how to excite a specific waveguide mode, and how to decompose the fields recorded in a monitor on the basis of waveguide modes, i.e. how to compute the power carried in each mode."
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    "# standard python imports\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "\n",
    "# tidy3D import\n",
    "import tidy3d as td\n",
    "from tidy3d import web"
   ]
  },
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   "source": [
    "### Straight waveguide simulation\n",
    "\n",
    "First, we will do a simulation of a straight waveguide, using a silicon ridge waveguide on a silicon oxide substrate. We begin by defining some general parameters."
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    "# Unit length is micron.\n",
    "wg_height = 0.22\n",
    "wg_width = 0.45\n",
    "\n",
    "# Permittivity of waveguide and substrate\n",
    "si_eps = 3.48**2\n",
    "sio_eps = 1.45**2\n",
    "\n",
    "# Free-space wavelength (in um) and frequency (in Hz)\n",
    "lambda0 = 1.55\n",
    "freq0 = td.C_0/lambda0\n",
    "fwidth = freq0/10\n",
    "\n",
    "# Simulation size inside the PML along propagation direction\n",
    "sim_length = 5\n",
    "\n",
    "# Simulation domain size and total run time\n",
    "sim_size = [sim_length, 4, 2]\n",
    "run_time = 20/fwidth\n",
    "\n",
    "# Grid specification\n",
    "grid_spec = td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lambda0)"
   ]
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   "source": [
    "### Initialize structures, mode source, and mode monitor\n",
    "\n",
    "When initializing `ModeSource` and `ModeMonitor` objects, one of the three values of the `size` parameter must be zero. This implicitly defines the propagation direction for the mode decomposition. In this example, the waveguide is oriented along the x-axis, and the mode is injected along the positive-x direction (\"forward\"). Below, we add a mode monitor that will show us the waveguide transmission at a range of frequencies, as well as a simple frequency monitor to examine the fields in the xy-plane at the central frequency."
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    "# Waveguide and substrate materials\n",
    "mat_wg = td.Medium(permittivity=si_eps)\n",
    "mat_sub = td.Medium(permittivity=sio_eps)\n",
    "\n",
    "# Substrate\n",
    "substrate = td.Structure(\n",
    "    geometry=td.Box(\n",
    "        center=[0, 0, -sim_size[2]],\n",
    "        size=[td.inf, td.inf, 2*sim_size[2]],\n",
    "    ),\n",
    "    medium=mat_sub)\n",
    "\n",
    "# Waveguide\n",
    "waveguide = td.Structure(\n",
    "    geometry=td.Box(\n",
    "        center=[0, 0, wg_height/2],\n",
    "        size=[100, wg_width, wg_height],\n",
    "    ),\n",
    "    medium=mat_wg)\n",
    "\n",
    "# Modal source parameters\n",
    "src_pos = -sim_size[0]/2 + 0.5\n",
    "src_plane = td.Box(center=[src_pos, 0, 0], size=[0, 3, 2])\n",
    "\n",
    "# xy-plane frequency-domain field monitor at central frequency\n",
    "freq_mnt = td.FieldMonitor(\n",
    "    center=[0, 0, wg_height/2],\n",
    "    size=[100, 100, 0],\n",
    "    freqs=[freq0],\n",
    "    name='field')\n",
    "\n",
    "\n",
    "# frequencies\n",
    "mon_plane = td.Box(center=[-src_pos, 0, 0], size=[0, 3, 2])\n",
    "Nfreqs = 21\n",
    "freqs = np.linspace(freq0 - fwidth, freq0 + fwidth, Nfreqs)\n",
    "fcent_ind = Nfreqs // 2 # index of the central frequency\n",
    "\n",
    "# flux monitor\n",
    "flux_mnt = td.FluxMonitor(\n",
    "    center=mon_plane.center,\n",
    "    size=mon_plane.size,\n",
    "    freqs=list(freqs),\n",
    "    name='flux'\n",
    ")\n",
    "\n",
    "# Modal monitor at a range of frequencies\n",
    "mode_mnt = td.ModeMonitor(\n",
    "    center=mon_plane.center,\n",
    "    size=mon_plane.size,\n",
    "    freqs=list(freqs),\n",
    "    mode_spec=td.ModeSpec(num_modes=3),\n",
    "    name='mode')"
   ]
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   "source": [
    "Initialize simulation and visualize two cross-sections to make sure we have set up the device correctly."
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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Simulation\n",
    "sim = td.Simulation(\n",
    "    size=sim_size,\n",
    "    grid_spec=grid_spec, \n",
    "    structures=[substrate, waveguide], \n",
    "    sources=[], \n",
    "    monitors=[freq_mnt, mode_mnt, flux_mnt],\n",
    "    run_time=run_time,\n",
    "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML())\n",
    ")\n",
    "\n",
    "fig, (ax1, ax2) = plt.subplots(1, 2, tight_layout=True, figsize=(11, 4))\n",
    "sim.plot(z=0, ax=ax1);\n",
    "sim.plot(y=0, ax=ax2);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Mode source\n",
    "\n",
    "Before we can run a simulation with a mode source, we have to select which of the eigenmodes we would like to inject. To do that, we can first visualize the modes using the in-built eigenmode solver and plotting functions. The modes are computed at the central frequency of the source, and in order of decreasing effective index `n`, such that the modes that are fully below light-line (if any) should appear first. The solver assumes periodic boundary conditions at the boundaries of the 2D plane. Thus, for accurate results, the plane should be large enough for the fields do decay at the edges."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-07-21T20:52:46.842758Z",
     "iopub.status.busy": "2022-07-21T20:52:46.842603Z",
     "iopub.status.idle": "2022-07-21T20:52:47.870535Z",
     "shell.execute_reply": "2022-07-21T20:52:47.870165Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">[16:52:47] </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING </span> Mode field at frequency index <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0</span>, mode index <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> does not <a href=\"file:///home/shashwat/flexcompute/repositories/tidy3d-docs/tidy3d/tidy3d/plugins/mode/mode_solver.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">mode_solver.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///home/shashwat/flexcompute/repositories/tidy3d-docs/tidy3d/tidy3d/plugins/mode/mode_solver.py#485\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">485</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>         decay at the plane boundaries.                         <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                  </span>\n",
       "</pre>\n"
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      "text/plain": [
       "\u001b[2;36m[16:52:47]\u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING \u001b[0m Mode field at frequency index \u001b[1;36m0\u001b[0m, mode index \u001b[1;36m2\u001b[0m does not \u001b]8;id=35871;file:///home/shashwat/flexcompute/repositories/tidy3d-docs/tidy3d/tidy3d/plugins/mode/mode_solver.py\u001b\\\u001b[2mmode_solver.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=104259;file:///home/shashwat/flexcompute/repositories/tidy3d-docs/tidy3d/tidy3d/plugins/mode/mode_solver.py#485\u001b\\\u001b[2m485\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m         decay at the plane boundaries.                         \u001b[2m                  \u001b[0m\n"
      ]
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     "metadata": {},
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    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Effective index of computed modes:  [[2.3339038 1.5512255 1.3546591]]\n"
     ]
    },
    {
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     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visualize the modes\n",
    "from tidy3d.plugins import ModeSolver\n",
    "\n",
    "mode_spec = td.ModeSpec(num_modes=3)\n",
    "ms = ModeSolver(simulation=sim, plane=src_plane, mode_spec=mode_spec, freqs=[freq0])\n",
    "modes = ms.solve()\n",
    "\n",
    "print(\"Effective index of computed modes: \", np.array(modes.n_eff))\n",
    "\n",
    "fig, axs = plt.subplots(3, 2, figsize=(12, 12))\n",
    "for mode_ind in range(3):\n",
    "    modes.plot_field(\"Ey\", \"abs\", freq=freq0, mode_index=mode_ind, ax=axs[mode_ind, 0])\n",
    "    modes.plot_field(\"Ez\", \"abs\", freq=freq0, mode_index=mode_ind, ax=axs[mode_ind, 1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The waveguide has a single guided TE mode, as well as a TM mode which is very close to the light line (effective index close to substrate index). Finally, the last mode shown here, is below the light-line of the substrate and is mostly localized in that region. However, modes like these should always be considered unphysical, because of the assumption is that they decay by the edges of the mode plane. Thus, for meaningful results, only Mode 0 and Mode 1 should be used by the mode source."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Run simulation\n",
    "\n",
    "We set the mode source to the fundamental TE mode. Then, we run the simulation as usual through the web API, wait for it to finish, and download and load the results."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-07-21T20:52:47.872310Z",
     "iopub.status.busy": "2022-07-21T20:52:47.872133Z",
     "iopub.status.idle": "2022-07-21T20:52:47.877687Z",
     "shell.execute_reply": "2022-07-21T20:52:47.877114Z"
    }
   },
   "outputs": [],
   "source": [
    "source_time = td.GaussianPulse(freq0=freq0, fwidth=freq0/10)\n",
    "mode_source = ms.to_source(mode_index=0, direction=\"+\", source_time=source_time)\n",
    "sim = sim.copy(update=dict(sources = [mode_source]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-07-21T20:52:47.879268Z",
     "iopub.status.busy": "2022-07-21T20:52:47.879156Z",
     "iopub.status.idle": "2022-07-21T20:53:29.196762Z",
     "shell.execute_reply": "2022-07-21T20:53:29.196355Z"
    },
    "tags": []
   },
   "outputs": [
    {
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       "Output()"
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       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\">\n",
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       "\u001b[2;36m[16:53:09]\u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO    \u001b[0m starting up solver                                          \u001b]8;id=77218;file:///home/shashwat/flexcompute/repositories/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=640230;file:///home/shashwat/flexcompute/repositories/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#269\u001b\\\u001b[2m269\u001b[0m\u001b]8;;\u001b\\\n"
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       "\u001b[2;36m[16:53:18]\u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO    \u001b[0m running solver                                              \u001b]8;id=11075;file:///home/shashwat/flexcompute/repositories/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=482501;file:///home/shashwat/flexcompute/repositories/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#275\u001b\\\u001b[2m275\u001b[0m\u001b]8;;\u001b\\\n"
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>         <span style=\"color: #008000; text-decoration-color: #008000\">\"data/simulation.hdf5\"</span>                                      <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
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       "\u001b[2;36m           \u001b[0m         \u001b[32m\"data/simulation.hdf5\"\u001b[0m                                      \u001b[2m             \u001b[0m\n"
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       "\u001b[2;36m[16:53:29]\u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO    \u001b[0m loading SimulationData from data/simulation.hdf5            \u001b]8;id=69841;file:///home/shashwat/flexcompute/repositories/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=788400;file:///home/shashwat/flexcompute/repositories/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#398\u001b\\\u001b[2m398\u001b[0m\u001b]8;;\u001b\\\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "job = web.Job(simulation=sim, task_name='mode_tutorial')\n",
    "sim_data = job.run(path='data/simulation.hdf5')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's first examine the in-plane fields recorded by the frequency monitor. We can already see how the source emits all of its power in the desired direction and waveguide mode."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-07-21T20:53:29.440423Z",
     "iopub.status.busy": "2022-07-21T20:53:29.440272Z",
     "iopub.status.idle": "2022-07-21T20:53:29.692303Z",
     "shell.execute_reply": "2022-07-21T20:53:29.691930Z"
    },
    "tags": []
   },
   "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=\"font-weight: bold\">&lt;</span><span style=\"color: #ff00ff; text-decoration-color: #ff00ff; font-weight: bold\">Figure</span><span style=\"color: #000000; text-decoration-color: #000000\"> size 432x288 with </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span><span style=\"color: #000000; text-decoration-color: #000000\"> Axes</span><span style=\"font-weight: bold\">&gt;</span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[1m<\u001b[0m\u001b[1;95mFigure\u001b[0m\u001b[39m size 432x288 with \u001b[0m\u001b[1;36m2\u001b[0m\u001b[39m Axes\u001b[0m\u001b[1m>\u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_data.plot_field('field', 'Ey', z=wg_height/2, freq=freq0, val='real')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Mode monitors"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Mode monitors allow us to decompose the frequency-domain fields recorded in a simulation into the propagating modes of a waveguide. Specifically, we can write the modes of the waveguide at angular frequency $\\omega$ that are propagating in the *forward* direction, i.e. in the positive `x` direction in the example above, as\n",
    "\n",
    "$$\n",
    "\\mathbf{E}_p^f(\\omega, x) = \\mathbf{E}_p^f(\\omega) e^{i k_p x}, \\quad \\quad \\mathbf{H}_p^f(\\omega, x) = \\mathbf{H}_p^f(\\omega) e^{i k_p x},\n",
    "$$\n",
    "\n",
    "where $p$ is a discrete mode index, $k_p = n_p \\omega/c$ is the wave-vector, $n_p$ is the effective index of the $p$-th mode, and superscript $f$ specifies forward propagation. The fields in the backward direction can be obtained via reflection symmetry. In the axes of the simulation we have as $k_p \\rightarrow -k_p$ and $\\mathbf{E}_{p}^b(\\omega) = (-E_{p,x}^{f}, E_{p,y}^{f}, E_{p,z}^{f})$, $\\mathbf{H}_{p}^b(\\omega) = (H_{p,x}^{f}, -H_{p,y}^{f}, -H_{p,z}^{f})$.\n",
    "\n",
    "The fields stored in a monitor can then be decomposed on the basis of these waveguide modes. Following [1](https://journals.aps.org/pre/abstract/10.1103/PhysRevE.66.066608), [2](https://arxiv.org/abs/1301.5366), we can define an inner product between fields in the 2D plane as\n",
    "\n",
    "$$\n",
    "(\\mathbf{u}_1, \\mathbf{u}_2) = \\frac{1}{4} \\int_A \\left(\\mathbf{E}_1^* \\times \\mathbf{H}_2 + \\mathbf{E}_2 \\times \\mathbf{H}_1^* \\right) \\cdot \\mathrm{d}\\mathbf{A},\n",
    "$$\n",
    "\n",
    "where $\\mathbf{u} = (\\mathbf{E}, \\mathbf{H})$ combines both electromagnetic fields, the integration is over the plane area $A$, and $\\mathrm{d}\\mathbf{A}$ is the surface normal. If a waveguide mode is normalized such that $(\\mathbf{u}_p, \\mathbf{u}_p) = 1$, and we denote the fields stored in the mode monitor by $\\mathbf{u}_s$, then the power amplitude carried by mode $p$ is given by the complex coefficient\n",
    "\n",
    "$$\n",
    "c_p = (\\mathbf{u}_p, \\mathbf{u}_s),\n",
    "$$\n",
    "\n",
    "while the power is given by $|c_p|^2$."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can have a look at the monitor modes, but as expected they should be identical to the source modes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-07-21T20:53:29.694039Z",
     "iopub.status.busy": "2022-07-21T20:53:29.693914Z",
     "iopub.status.idle": "2022-07-21T20:53:30.741101Z",
     "shell.execute_reply": "2022-07-21T20:53:30.740796Z"
    }
   },
   "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\">           </span><span style=\"color: #800000; text-decoration-color: #800000\">WARNING </span> Mode field at frequency index <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">0</span>, mode index <span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">2</span> does not <a href=\"file:///home/shashwat/flexcompute/repositories/tidy3d-docs/tidy3d/tidy3d/plugins/mode/mode_solver.py\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">mode_solver.py</span></a><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">:</span><a href=\"file:///home/shashwat/flexcompute/repositories/tidy3d-docs/tidy3d/tidy3d/plugins/mode/mode_solver.py#485\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">485</span></a>\n",
       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>         decay at the plane boundaries.                         <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">                  </span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING \u001b[0m Mode field at frequency index \u001b[1;36m0\u001b[0m, mode index \u001b[1;36m2\u001b[0m does not \u001b]8;id=183065;file:///home/shashwat/flexcompute/repositories/tidy3d-docs/tidy3d/tidy3d/plugins/mode/mode_solver.py\u001b\\\u001b[2mmode_solver.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=514785;file:///home/shashwat/flexcompute/repositories/tidy3d-docs/tidy3d/tidy3d/plugins/mode/mode_solver.py#485\u001b\\\u001b[2m485\u001b[0m\u001b]8;;\u001b\\\n",
       "\u001b[2;36m           \u001b[0m         decay at the plane boundaries.                         \u001b[2m                  \u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<pre style=\"white-space:pre;overflow-x:auto;line-height:normal;font-family:Menlo,'DejaVu Sans Mono',consolas,'Courier New',monospace\"><span style=\"font-weight: bold\">&lt;</span><span style=\"color: #ff00ff; text-decoration-color: #ff00ff; font-weight: bold\">Figure</span><span style=\"color: #000000; text-decoration-color: #000000\"> size 864x864 with </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">12</span><span style=\"color: #000000; text-decoration-color: #000000\"> Axes</span><span style=\"font-weight: bold\">&gt;</span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[1m<\u001b[0m\u001b[1;95mFigure\u001b[0m\u001b[39m size 864x864 with \u001b[0m\u001b[1;36m12\u001b[0m\u001b[39m Axes\u001b[0m\u001b[1m>\u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Visualize the monitor modes\n",
    "ms = td.plugins.ModeSolver(simulation=sim, plane=mode_mnt.geometry, mode_spec=mode_mnt.mode_spec, freqs=[freq0])\n",
    "modes = ms.solve()\n",
    "\n",
    "fig, axs = plt.subplots(3, 2, figsize=(12, 12))\n",
    "for mode_ind in range(3):\n",
    "    modes.plot_field(\"Ey\", \"abs\", freq=freq0, mode_index=mode_ind, ax=axs[mode_ind, 0])\n",
    "    modes.plot_field(\"Ez\", \"abs\", freq=freq0, mode_index=mode_ind, ax=axs[mode_ind, 1])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We note that in ``Tidy3D``, the fields recorded by frequency monitors (and thus also mode monitors) are automatically normalized by the power amplitude spectrum of the source (for multiple sources, the user can select which source to use for the normalization). Furthermore, mode sources are normalized to inject exactly 1W of power at the central frequency."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-07-21T20:53:30.742848Z",
     "iopub.status.busy": "2022-07-21T20:53:30.742715Z",
     "iopub.status.idle": "2022-07-21T20:53:30.745330Z",
     "shell.execute_reply": "2022-07-21T20:53:30.745051Z"
    },
    "tags": []
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Flux at central frequency:  0.99999005\n"
     ]
    }
   ],
   "source": [
    "# Flux in the mode monitor (total power through the cross-section)\n",
    "flux_wg = sim_data['flux']\n",
    "print(\"Flux at central frequency: \", flux_wg.isel(f=fcent_ind).values)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also use the mode amplitudes recorded in the mode monitor to reveal the decomposition of the radiated power in to forward- and backward-propagating modes, respectively. As we would expect, all of the power is injected into the fundamental waveguide mode, in the forward direction. More precisely, this is true up to some numerical precision that decreases with increasing simulation resolution."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-07-21T20:53:30.746890Z",
     "iopub.status.busy": "2022-07-21T20:53:30.746707Z",
     "iopub.status.idle": "2022-07-21T20:53:30.812679Z",
     "shell.execute_reply": "2022-07-21T20:53:30.812302Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Power distribution at central frequency in first three modes\n",
      "  positive dir.  [9.99989971e-01 1.48838077e-11 1.31152006e-13]\n",
      "  negative dir.  [2.07189750e-09 5.18423188e-16 9.17962035e-15]\n"
     ]
    },
    {
     "data": {
      "text/html": [
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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Forward and backward power amplitude coefficients\n",
    "mode_amps = sim_data['mode']\n",
    "coeffs_f = mode_amps.amps.sel(direction=\"+\")\n",
    "coeffs_b = mode_amps.amps.sel(direction=\"-\")\n",
    "\n",
    "print(\"Power distribution at central frequency in first three modes\", )\n",
    "print(\"  positive dir. \", np.abs(coeffs_f.isel(f=fcent_ind)**2).values)\n",
    "print(\"  negative dir. \", np.abs(coeffs_b.isel(f=fcent_ind)**2).values)\n",
    "\n",
    "# Free-space wavelength corresponding to the monitor frequencies\n",
    "lambdas = td.C_0 / freqs\n",
    "\n",
    "fig, ax = plt.subplots(1, figsize=(6, 4))\n",
    "ax.plot(lambdas, np.abs(coeffs_f.values)**2)\n",
    "ax.set_xlim([lambdas[-1], lambdas[0]])\n",
    "ax.set_xlabel(\"Wavelength (um)\")\n",
    "ax.set_ylabel(\"Power in mode (W)\")\n",
    "ax.set_title(\"Mode decomposition (forward-propagating)\")\n",
    "ax.legend([\"Mode 0\", \"Mode 1\", \"Mode 2\"])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can examine the frequency dependence of the results a bit more closely, and compare them to the total power flux, which can be computed for any frequency monitor. The flux is the area-integrated time-averaged Poynting vector and gives the (signed) total power flowing through the surface. The flux computation and the modal decomposition are done in separate monitors and in a completely different way, but because all the power is in the fundamental mode here, the flux matches really well the zero-mode power from the power decomposition."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-07-21T20:53:30.814369Z",
     "iopub.status.busy": "2022-07-21T20:53:30.814201Z",
     "iopub.status.idle": "2022-07-21T20:53:30.875760Z",
     "shell.execute_reply": "2022-07-21T20:53:30.875263Z"
    }
   },
   "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=\"font-weight: bold\">&lt;</span><span style=\"color: #ff00ff; text-decoration-color: #ff00ff; font-weight: bold\">Figure</span><span style=\"color: #000000; text-decoration-color: #000000\"> size 432x288 with </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span><span style=\"color: #000000; text-decoration-color: #000000\"> Axes</span><span style=\"font-weight: bold\">&gt;</span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[1m<\u001b[0m\u001b[1;95mFigure\u001b[0m\u001b[39m size 432x288 with \u001b[0m\u001b[1;36m1\u001b[0m\u001b[39m Axes\u001b[0m\u001b[1m>\u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(1, figsize=(6, 4))\n",
    "\n",
    "ax.plot(lambdas, flux_wg)\n",
    "ax.plot(lambdas, np.abs(coeffs_f.sel(mode_index=0))**2)\n",
    "ax.set_xlim([lambdas[-1], lambdas[0]])\n",
    "ax.set_xlabel(\"Wavelength (um)\")\n",
    "ax.set_ylabel(\"Power (W)\")\n",
    "ax.set_title(\"Power in mode monitor\")\n",
    "ax.legend([\"Total\", \"Mode 0\"])\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "As we already saw, at the central frequency, the source power is extremely well directed in the waveguide mode. Since the source mode is computed at the central frequency only, away from that it is not perfectly matched, leading to a small decrease of the total radiated power. In certain situations, it is even possible to observe injected power larger than one away from the central frequency. That said, we see that all the radiated power is still emitted into the desired waveguide mode, within the wavelength range of interest. For best accuracy when computing scattering parameters away from the central frequency, we then just need to do a “normalization” run with a straight waveguide, like the one we just did, and normalize w.r.t. the computed flux to account for the small frequency dependence of the total radiated power. This is illustrated below."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Waveguide junction\n",
    "\n",
    "We repeat the simulation, but this time introduce a much bigger waveguide in the second half of the domain."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-07-21T20:53:30.877758Z",
     "iopub.status.busy": "2022-07-21T20:53:30.877561Z",
     "iopub.status.idle": "2022-07-21T20:53:30.880073Z",
     "shell.execute_reply": "2022-07-21T20:53:30.879771Z"
    }
   },
   "outputs": [],
   "source": [
    "# Output waveguide\n",
    "wgout_width = 1.4\n",
    "\n",
    "waveguide_out = td.Structure(\n",
    "    geometry=td.Box(\n",
    "        center=[2, 0, wg_height/2],\n",
    "        size=[4, wgout_width, wg_height],\n",
    "    ),\n",
    "    medium=mat_wg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-07-21T20:53:30.881563Z",
     "iopub.status.busy": "2022-07-21T20:53:30.881368Z",
     "iopub.status.idle": "2022-07-21T20:53:30.885003Z",
     "shell.execute_reply": "2022-07-21T20:53:30.884666Z"
    }
   },
   "outputs": [],
   "source": [
    "sim2 = td.Simulation(\n",
    "    size=sim_size,\n",
    "    grid_spec=grid_spec, \n",
    "    structures=[substrate, waveguide, waveguide_out], \n",
    "    sources=[mode_source],\n",
    "    monitors=[freq_mnt, mode_mnt, flux_mnt],\n",
    "    run_time=run_time,\n",
    "    boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML())\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-07-21T20:53:30.886456Z",
     "iopub.status.busy": "2022-07-21T20:53:30.886313Z",
     "iopub.status.idle": "2022-07-21T20:53:31.010257Z",
     "shell.execute_reply": "2022-07-21T20:53:31.009719Z"
    }
   },
   "outputs": [
    {
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       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[1m<\u001b[0m\u001b[1;95mFigure\u001b[0m\u001b[39m size 792x288 with \u001b[0m\u001b[1;36m2\u001b[0m\u001b[39m Axes\u001b[0m\u001b[1m>\u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(11, 4))\n",
    "gs = mpl.gridspec.GridSpec(1, 2, figure=fig, width_ratios=[1, 1.4])\n",
    "ax1 = fig.add_subplot(gs[0, 0])\n",
    "ax2 = fig.add_subplot(gs[0, 1])\n",
    "sim2.plot(z=0.1, ax=ax1);\n",
    "sim2.plot(y=0.1, ax=ax2);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-07-21T20:53:31.012060Z",
     "iopub.status.busy": "2022-07-21T20:53:31.011914Z",
     "iopub.status.idle": "2022-07-21T20:54:12.627862Z",
     "shell.execute_reply": "2022-07-21T20:54:12.627507Z"
    }
   },
   "outputs": [
    {
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       "\u001b[2;36m[16:53:34]\u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO    \u001b[0m status = queued                                             \u001b]8;id=971931;file:///home/shashwat/flexcompute/repositories/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=747955;file:///home/shashwat/flexcompute/repositories/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#253\u001b\\\u001b[2m253\u001b[0m\u001b]8;;\u001b\\\n"
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       "</pre>\n"
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       "\u001b[2;36m[16:53:52]\u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO    \u001b[0m starting up solver                                          \u001b]8;id=418492;file:///home/shashwat/flexcompute/repositories/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=413504;file:///home/shashwat/flexcompute/repositories/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#269\u001b\\\u001b[2m269\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\">[16:54:05] </span><span style=\"color: #000080; text-decoration-color: #000080\">INFO    </span> early shutoff detected, exiting.                            <a href=\"file:///home/shashwat/flexcompute/repositories/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/shashwat/flexcompute/repositories/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#286\" target=\"_blank\"><span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">286</span></a>\n",
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       "\u001b[2;36m          \u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO    \u001b[0m status = postprocess                                        \u001b]8;id=186427;file:///home/shashwat/flexcompute/repositories/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=619209;file:///home/shashwat/flexcompute/repositories/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#292\u001b\\\u001b[2m292\u001b[0m\u001b]8;;\u001b\\\n"
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       "\u001b[2;36m[16:54:09]\u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO    \u001b[0m status = success                                            \u001b]8;id=58208;file:///home/shashwat/flexcompute/repositories/tidy3d-docs/tidy3d/tidy3d/web/webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=502087;file:///home/shashwat/flexcompute/repositories/tidy3d-docs/tidy3d/tidy3d/web/webapi.py#298\u001b\\\u001b[2m298\u001b[0m\u001b]8;;\u001b\\\n"
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       "<span style=\"color: #7fbfbf; text-decoration-color: #7fbfbf\">           </span>         <span style=\"color: #008000; text-decoration-color: #008000\">\"data/mode_converter.hdf5\"</span>                                  <span style=\"color: #7f7f7f; text-decoration-color: #7f7f7f\">             </span>\n",
       "</pre>\n"
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       "\u001b[2;36m           \u001b[0m         \u001b[32m\"data/mode_converter.hdf5\"\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\"></pre>\n"
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   ],
   "source": [
    "job = web.Job(simulation=sim2, task_name='mode_converter')\n",
    "sim_data = job.run(path='data/mode_converter.hdf5')"
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  {
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     "iopub.status.busy": "2022-07-21T20:54:12.872297Z",
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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sim_data.plot_field('field', 'Ey', z=wg_height/2, freq=freq0, val='real')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This time, the output waveguide is multi-mode, and there is obviously some mode-mixing happening. We can use the mode monitor to exactly quantify this."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2022-07-21T20:54:13.133541Z",
     "iopub.status.busy": "2022-07-21T20:54:13.133407Z",
     "iopub.status.idle": "2022-07-21T20:54:13.202419Z",
     "shell.execute_reply": "2022-07-21T20:54:13.202050Z"
    }
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Power distribution at central frequency in first three modes\n",
      "  positive dir.  [7.06198021e-01 1.90489373e-11 2.55973922e-01]\n",
      "  negative dir.  [1.09994700e-08 8.73963940e-15 1.23787795e-09]\n"
     ]
    },
    {
     "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=\"font-weight: bold\">&lt;</span><span style=\"color: #ff00ff; text-decoration-color: #ff00ff; font-weight: bold\">Figure</span><span style=\"color: #000000; text-decoration-color: #000000\"> size 432x288 with </span><span style=\"color: #008080; text-decoration-color: #008080; font-weight: bold\">1</span><span style=\"color: #000000; text-decoration-color: #000000\"> Axes</span><span style=\"font-weight: bold\">&gt;</span>\n",
       "</pre>\n"
      ],
      "text/plain": [
       "\u001b[1m<\u001b[0m\u001b[1;95mFigure\u001b[0m\u001b[39m size 432x288 with \u001b[0m\u001b[1;36m1\u001b[0m\u001b[39m Axes\u001b[0m\u001b[1m>\u001b[0m\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n"
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Forward and backward power amplitude coefficients normalized to the straight waveguide flux\n",
    "mode_amps = sim_data['mode']\n",
    "coeffs_f = mode_amps.amps.sel(direction=\"+\") / np.sqrt(flux_wg)\n",
    "coeffs_b = mode_amps.amps.sel(direction=\"-\") / np.sqrt(flux_wg)\n",
    "\n",
    "print(\"Power distribution at central frequency in first three modes\", )\n",
    "print(\"  positive dir. \", np.abs(coeffs_f.isel(f=fcent_ind)**2).values)\n",
    "print(\"  negative dir. \", np.abs(coeffs_b.isel(f=fcent_ind)**2).values)\n",
    "\n",
    "# Free-space wavelength corresponding to the monitor frequencies\n",
    "lambdas = td.C_0 / freqs\n",
    "\n",
    "fig, ax = plt.subplots(1, figsize=(6, 4))\n",
    "ax.plot(lambdas, np.sum(np.abs(coeffs_f.values)**2, axis=1))\n",
    "ax.plot(lambdas, np.abs(coeffs_f.values)**2)\n",
    "ax.set_xlabel(\"Wavelength (um)\")\n",
    "ax.set_xlim([lambdas[-1], lambdas[0]])\n",
    "ax.set_ylabel(\"Power in mode (W)\")\n",
    "ax.set_title(\"Mode decomposition (+ propagating)\")\n",
    "ax.legend([\"Mode 0 + 1 + 2\", \"Mode 0\", \"Mode 1\", \"Mode 2\"])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Because of the symmetry with respect to the $y=0$ plane, the power in Mode 0 cannot be converted to Mode 1, but a significant amount of power is converted to Mode 3. Note also that the combined power in the computed modes is smaller than 1W. The missing part is most likely lost in scattering at the sharp waveguide interface."
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
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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\">% done (field decay = 5.40e-09) <span style=\"color: #f92672; text-decoration-color: #f92672\">━━━━━━</span><span style=\"color: #3a3a3a; text-decoration-color: #3a3a3a\">╺━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━</span> <span style=\"color: #800080; text-decoration-color: #800080\"> 16%</span> <span style=\"color: #008080; text-decoration-color: #008080\">-:--:--</span>\n</pre>\n",
          "text/plain": "% done (field decay = 5.40e-09) \u001b[38;2;249;38;114m━━━━━━\u001b[0m\u001b[38;5;237m╺\u001b[0m\u001b[38;5;237m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m \u001b[35m 16%\u001b[0m \u001b[36m-:--:--\u001b[0m\n"
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       "outputs": [
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