{ "cells": [ { "cell_type": "markdown", "id": "798fc116", "metadata": {}, "source": [ "# Waveguide size converter" ] }, { "cell_type": "markdown", "id": "6914938e", "metadata": {}, "source": [ "Note: the cost of running the entire notebook is larger than 1 FlexUnit.\n", "\n", "It is common to have waveguide components of different widths and potentially thicknesses on a photonic integrated circuit (PIC). Therefore, having a low-loss waveguide size converter becomes a necessity. The most common and simple size converter is adiabatic waveguide tapers. However, to achieve low loss and meet the adiabatic condition, the taper inevitable needs to be very long, which is not ideal in many modern high-density PIC designs. To aleviate this shortcoming of the conventional adiabatic taper, novel designs of compact size converter have emerged. \n", "\n", "In this notebook, we aim to simulate different types of size converters and compare their performance. We first simulate linear adiabatic tapers of different lengths. Subsequently, we will demonstrate two compact designs: one based on Luneburg lens and the other based on semi-lens emerged from segment optimization. These novel designs achieve ~-0.5 dB loss while being only about 6$\\lambda_0$ in footprint. Linear adiabatic taper can only achieve similar performance while being 30$\\lambda_0$ long." ] }, { "cell_type": "code", "execution_count": 1, "id": "36de9cc7", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:34:03.700986Z", "iopub.status.busy": "2023-02-03T04:34:03.700648Z", "iopub.status.idle": "2023-02-03T04:34:05.846077Z", "shell.execute_reply": "2023-02-03T04:34:05.845548Z" } }, "outputs": [ { "data": { "text/html": [ "
[22:34:04] WARNING  This version of Tidy3D was pip installed from the 'tidy3d-beta' repository on   __init__.py:103\n",
       "                    PyPI. Future releases will be uploaded to the 'tidy3d' repository. From now on,                \n",
       "                    please use 'pip install tidy3d' instead.                                                       \n",
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           INFO     Using client version: 1.9.0rc1                                                  __init__.py:121\n",
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\n" ], "text/plain": [ "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO \u001b[0m Using client version: \u001b[1;36m1.9\u001b[0m.0rc1 \u001b]8;id=447827;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/__init__.py\u001b\\\u001b[2m__init__.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=592847;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/__init__.py#121\u001b\\\u001b[2m121\u001b[0m\u001b]8;;\u001b\\\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import tidy3d as td\n", "import tidy3d.web as web\n", "from tidy3d.plugins import ModeSolver" ] }, { "cell_type": "markdown", "id": "5d524f20", "metadata": {}, "source": [ "To suppress unnecessary warnings, we set the logging level to 'error'." ] }, { "cell_type": "code", "execution_count": 2, "id": "7c3bcbfb", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:34:05.848636Z", "iopub.status.busy": "2023-02-03T04:34:05.848291Z", "iopub.status.idle": "2023-02-03T04:34:05.850793Z", "shell.execute_reply": "2023-02-03T04:34:05.850326Z" } }, "outputs": [], "source": [ "td.config.logging_level = \"error\"" ] }, { "cell_type": "markdown", "id": "8e88f8a9", "metadata": {}, "source": [ "Define the simulation wavelength (frequency) range." ] }, { "cell_type": "code", "execution_count": 3, "id": "d8828055", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:34:05.853008Z", "iopub.status.busy": "2023-02-03T04:34:05.852832Z", "iopub.status.idle": "2023-02-03T04:34:05.855488Z", "shell.execute_reply": "2023-02-03T04:34:05.855131Z" } }, "outputs": [], "source": [ "lda0 = 1.55 # central wavelength\n", "freq0 = td.C_0 / lda0 # central frequency\n", "ldas = np.linspace(1.5, 1.6, 101) # wavelength range\n", "freqs = td.C_0 / ldas # frequency range\n", "fwidth = 0.5 * (np.max(freqs) - np.min(freqs)) # width of the frequency distribution" ] }, { "cell_type": "markdown", "id": "52105151", "metadata": {}, "source": [ "All devices simulated in this notebook are based on silicon waveguide on a thick oxide layer. We define both materials as nondispersive since the simulation wavelength range is relatively small." ] }, { "cell_type": "code", "execution_count": 4, "id": "c3086ea4", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:34:05.857583Z", "iopub.status.busy": "2023-02-03T04:34:05.857428Z", "iopub.status.idle": "2023-02-03T04:34:05.859894Z", "shell.execute_reply": "2023-02-03T04:34:05.859551Z" } }, "outputs": [], "source": [ "n_si = 3.48 # silicon refractive index\n", "si = td.Medium(permittivity=n_si**2)\n", "\n", "n_sio2 = 1.44 # silicon oxide refractive index\n", "sio2 = td.Medium(permittivity=n_sio2**2)" ] }, { "cell_type": "markdown", "id": "28da9857", "metadata": {}, "source": [ "## Linear Taper " ] }, { "cell_type": "markdown", "id": "67db0883", "metadata": {}, "source": [ "The most straightforward way to connect two waveguides of different widths is via an adiabatic taper. The taper shape can be linear, hyperbolic, Gaussian, and so on. Here, we demonstrate a linear taper and investigate how the loss scales with taper length. To be specific, we model a taper connecting the input waveguide of 10 $\\mu m$ wide to an output waveguide of 500 nm wide. Both waveguides have the same thickness of 110 nm. TE0 mode is launched at the input waveguide.\n", "\n", "Since we would like to perform a parameter sweep over the taper length, we will define a function called `linear_taper_sim` to construct the simulation. This function will be called repeatedly to make a simulation batch. The structure of the taper including the input and output waveguides can be conveniently made using as a [PolySlab](https://docs.flexcompute.com/projects/tidy3d/en/v1.9.0rc2/_autosummary/tidy3d.PolySlab.html?highlight=polyslab).\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 5, "id": "e7e2e3c7", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:34:05.862087Z", "iopub.status.busy": "2023-02-03T04:34:05.861896Z", "iopub.status.idle": "2023-02-03T04:34:05.869540Z", "shell.execute_reply": "2023-02-03T04:34:05.869187Z" } }, "outputs": [], "source": [ "w_in = 10 # input waveguied width\n", "w_out = 0.5 # output waveguide width\n", "t_wg = 0.11 # waveguide thickness\n", "inf_eff = 1e3 # effective infinity of the model\n", "\n", "# define the substrate structure\n", "sub = td.Structure(\n", " geometry=td.Box.from_bounds(rmin=(-inf_eff, -inf_eff, -inf_eff), rmax=(inf_eff, inf_eff, 0)),\n", " medium=sio2,\n", ")\n", "\n", "# define a function to construct the simulation given the taper length\n", "def linear_taper_sim(L_t):\n", "\n", " # vertices of the taper\n", " vertices = [\n", " [-inf_eff, w_in / 2],\n", " [0, w_in / 2],\n", " [L_t, w_out / 2],\n", " [inf_eff, w_out / 2],\n", " [inf_eff, -w_out / 2],\n", " [L_t, -w_out / 2],\n", " [0, -w_in / 2],\n", " [-inf_eff, -w_in / 2],\n", " ]\n", "\n", " # construct the taper structure using a PolySlab\n", " linear_taper = td.Structure(\n", " geometry=td.PolySlab(vertices=vertices, axis=2, slab_bounds=(0, t_wg)), medium=si\n", " )\n", "\n", " # add a mode source that launches the TE0 mode at the input waveguide\n", " mode_source = td.ModeSource(\n", " center=(-lda0 / 2, 0, t_wg / 2),\n", " size=(0, 1.2 * w_in, 6 * t_wg),\n", " source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n", " direction=\"+\",\n", " mode_spec=td.ModeSpec(num_modes=1, target_neff=n_si),\n", " mode_index=0,\n", " )\n", "\n", " # add a field monitor to visualize the field distribution at z=t_wg/2\n", " field_monitor = td.FieldMonitor(\n", " center=(0, 0, t_wg / 2), size=(td.inf, td.inf, 0), freqs=[freq0], name=\"field\"\n", " )\n", "\n", " # add a flux monitor to measure transmission to the output waveguide\n", " flux_monitor = td.FluxMonitor(\n", " center=(lda0 / 2 + L_t, 0, t_wg / 2),\n", " size=(0, 2 * w_out, 6 * t_wg),\n", " freqs=freqs,\n", " name=\"flux\",\n", " )\n", "\n", " # define simulation domain size\n", " Lx = L_t + 2 * lda0\n", " Ly = w_in + 2 * lda0\n", " Lz = t_wg + 1.5 * lda0\n", " sim_size = (Lx, Ly, Lz)\n", "\n", " run_time = 3e-12 # run time of the simulation\n", "\n", " # define simulation\n", " sim = td.Simulation(\n", " center=(L_t / 2, 0, t_wg),\n", " size=sim_size,\n", " grid_spec=td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lda0),\n", " structures=[linear_taper, sub],\n", " sources=[mode_source],\n", " monitors=[field_monitor, flux_monitor],\n", " run_time=run_time,\n", " boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()), # pml is used in all boundaries\n", " symmetry=(0, -1, 0),\n", " ) # a pec symmetry plane at y=0 can be used to reduce the grid points of the simulation\n", " return sim" ] }, { "cell_type": "markdown", "id": "1e504189", "metadata": {}, "source": [ "With the `linear_taper_sim` function defined, we can use it to construct a simulation batch. We aim to simulate taper lengths of 10 $\\mu m$, 20 $\\mu m$, 50 $\\mu m$, and 100 $\\mu m$.\n", "\n", "To visually verify the simulation setup, we can take a simulation from the batch and use the `plot` method." ] }, { "cell_type": "code", "execution_count": 6, "id": "d479a55f", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:34:05.871514Z", "iopub.status.busy": "2023-02-03T04:34:05.871359Z", "iopub.status.idle": "2023-02-03T04:34:06.067493Z", "shell.execute_reply": "2023-02-03T04:34:06.066935Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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[22:34:14] Started working on Batch.                                                               container.py:361\n",
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    "After the batch simulation is complete, we can see how the loss scales with the taper length. From the results, we can see that a 10 $\\mu m$ taper has an insertion loss of ~-6 dB and a 20 $\\mu m$ taper has an insertion loss of ~-3 dB. To achieve low loss, the taper needs to be longer than 50 $\\mu m$, which is not sufficiently compact for many applications."
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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# using a for loop to plot the insertion losses at different taper lengths\n", "for i, L_t in enumerate(L_ts):\n", " sim_data = batch_results[f\"L_t={L_t}\"]\n", " T = sim_data[\"flux\"].flux\n", " plt.plot(ldas, 10 * np.log10(T), label=f\"{L_t} $\\mu m$ taper\")\n", "\n", "plt.title(\"Insertion loss for different linear taper lengths\")\n", "plt.ylim(-10, 0)\n", "plt.xlabel(\"Wavelength ($\\mu m$)\")\n", "plt.ylabel(\"Insertion loss (dB)\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "id": "55b56a24", "metadata": {}, "source": [ "The field distributions can also be plotted. From the field distributions, we can see the leakage of energy at the abrupt changes where the taper meets the straight waveguide. This leakage is reduced for longer tapers and thus the insertion loss is smaller." ] }, { "cell_type": "code", "execution_count": 9, "id": "d0d71e4d", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:41:00.859911Z", "iopub.status.busy": "2023-02-03T04:41:00.859773Z", "iopub.status.idle": "2023-02-03T04:41:12.636486Z", "shell.execute_reply": "2023-02-03T04:41:12.635908Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, ax = plt.subplots(2, 2, tight_layout=True, figsize=(8, 8))\n", "for i, L_t in enumerate(L_ts):\n", " sim_data = batch_results[f\"L_t={L_t}\"]\n", " sim_data.plot_field(\"field\", \"Ey\", f=freq0, ax=ax[i // 2, i % 2], vmin=-50, vmax=50)\n", " ax[i // 2, i % 2].set_xlim(L_t - 5 * lda0, L_t + lda0)\n", " ax[i // 2, i % 2].set_title(f\"{L_t} $\\mu m$ taper\")" ] }, { "cell_type": "markdown", "id": "d905557e", "metadata": {}, "source": [ "## Luneburg Lens Size Converter" ] }, { "cell_type": "markdown", "id": "0d6f353c", "metadata": {}, "source": [ "Besides adiabatic tapers, there are many novel size converter designs that can achieve both compactness and low loss. The first example is a taper design based on the principle of a Luneburg lens, which we will demonstrate here. \n", "\n", "A Luneburg lens is a spherical graded index lens where its refractive index varies with positions. The most common Luneburg lens employees a refractive index profile of $n(r)=\\sqrt{2-(\\frac{r}{R})^2}$, where $r$ is the distance to the center of the lens and $R$ is the radius of the lens. The result of the graded index is that light propagating parellel to the lens will be focused on the edge of the lens.\n", "\n", "On the other hand, waveguides with different thicknesses have different effective indices. By applying the same principle of a classical Luneburg lens, we can design a spherical waveguide region where the thickness of the waveguide varies such that the effective index follows that of a Luneburg lens. Consequently, the incidet light from the input waveguide can be focused into the output waveguide and we achieve a low loss while having a small device footprint. The device design is adapted from [S Hadi Badri and M M Gilarlue 2019 J. Opt. 21 125802](https://iopscience.iop.org/article/10.1088/2040-8986/ab4fa3).\n", "\n", "To use this design, we first need to obtain the relationship between the effective index and the waveguide thickness. Here, we ignore the effect of finite waveguide width and only consider the effective index of a slab waveguide. This will leave room for further optimization, which is another topic that we will not cover in this example notebook. We will first use the [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/v1.9.0rc2/notebooks/ModeSolver.html?highlight=mode%20solver) to solve for the effective index. Note that the effective index here is that of the waveguide, not to confuse with the effective index used in a 2.5D simulation. The simulation here will be performed in full 3D.\n", "\n", "" ] }, { "cell_type": "code", "execution_count": 10, "id": "aa89280d", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:41:12.639714Z", "iopub.status.busy": "2023-02-03T04:41:12.639541Z", "iopub.status.idle": "2023-02-03T04:43:09.520960Z", "shell.execute_reply": "2023-02-03T04:43:09.520280Z" } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ 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"/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ 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"/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: divide by zero encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n", "/Users/twhughes/.pyenv/versions/3.10.9/lib/python3.10/site-packages/numpy/linalg/linalg.py:2139: RuntimeWarning: invalid value encountered in det\n", " r = _umath_linalg.det(a, signature=signature)\n" ] } ], "source": [ "t_slabs = np.linspace(t_wg, 0.4, 30) # range of slab waveguide thickness\n", "n_eff = np.zeros(len(t_slabs)) # effective index of the slab waveguide\n", "\n", "for i, t_slab in enumerate(t_slabs):\n", " # build the slab\n", " slab = td.Structure(\n", " geometry=td.Box.from_bounds(rmin=(-inf_eff, -inf_eff, 0), rmax=(inf_eff, inf_eff, t_slab)),\n", " medium=si,\n", " )\n", "\n", " # define simulation domain size\n", " Lx = lda0\n", " Ly = 0 \n", " Lz = 10 * t_slab\n", " sim_size = (Lx, Ly, Lz)\n", "\n", " # define simulation\n", " sim = td.Simulation(\n", " center=(0, 0, t_slab / 2),\n", " size=sim_size,\n", " grid_spec=td.GridSpec.auto(min_steps_per_wvl=50, wavelength=lda0),\n", " structures=[slab, sub],\n", " sources=[], # for mode solver, no source or monitor is needed\n", " monitors=[],\n", " run_time=1e-15,\n", " boundary_spec=td.BoundarySpec.pml(z=True),\n", " ) # pml is applied in z direction and\n", " # periodic condition is applied in other directions\n", "\n", " # define a mode solver\n", " mode_solver = ModeSolver(\n", " simulation=sim,\n", " plane=td.Box(center=(0, 0, t_slab / 2), size=(Lx, 0, Lz)),\n", " mode_spec=td.ModeSpec(num_modes=1, target_neff=n_si),\n", " freqs=[freq0],\n", " )\n", " # solve for the mode\n", " mode_data = mode_solver.solve()\n", "\n", " # add the effective index to the n_eff array\n", " n_eff[i] = np.array(mode_data.n_eff[0])" ] }, { "cell_type": "markdown", "id": "80d5367c", "metadata": {}, "source": [ "To order to obtain the waveguide thickness given an effective index, we perform a polynomial fitting using `Numpy`'s `polyfit` method to the effective index obtained from the previous step." ] }, { "cell_type": "code", "execution_count": 11, "id": "dfcd51c1", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:43:09.525099Z", "iopub.status.busy": "2023-02-03T04:43:09.524562Z", "iopub.status.idle": "2023-02-03T04:43:09.657356Z", "shell.execute_reply": "2023-02-03T04:43:09.657089Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "coefs = np.polyfit(n_eff, t_slabs, 3)\n", "t_fit = np.poly1d(coefs)\n", "plt.scatter(n_eff, t_slabs, label=\"Simulated results\")\n", "plt.plot(n_eff, t_fit(n_eff), label=\"Polynomial fit\")\n", "plt.xlabel(\"Effective index\")\n", "plt.ylabel(\"Waveguide thickness ($\\mu m$)\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "id": "8cb3d5f6", "metadata": {}, "source": [ "We will construct a circular Luneburg lens region where the hight of the Si layer changes gradually such that the local effective index follows $n(r)=n_{edge}\\sqrt{2-(\\frac{r}{R})^2}$, where $n_{edge}$ is the effective index at the edge of the circle. To minimize impedance mismatch at the interface between the input/output waveguides and the Luneburg lens, the edge of the Luneburg lens will have the same thickness as the waveguides." ] }, { "cell_type": "code", "execution_count": 12, "id": "29900fae", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:43:09.658887Z", "iopub.status.busy": "2023-02-03T04:43:09.658781Z", "iopub.status.idle": "2023-02-03T04:43:09.721398Z", "shell.execute_reply": "2023-02-03T04:43:09.721140Z" } }, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Si thickness ($\\\\mu m$)')" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n_edge = n_eff[0] # effective index at the edge of the luneburg lens\n", "L_a = 11 # diameter of the luneburg lens region\n", "R_lens = L_a / 2 # radius of the luneburg lens\n", "r = np.linspace(0, R_lens, 100) # distance to the center of the luneburg lens\n", "n_lens = n_edge * np.sqrt(2 - (r / R_lens) ** 2) # effective index of the luneburg lens\n", "t_lens = t_fit(n_lens) # thickness of the luneburg lens\n", "t_lens[-1] = t_wg # make sure the edge thickness is the same as the waveguide thickness\n", "\n", "# plot the thickness profile of the luneburg lens\n", "plt.plot(r, t_lens)\n", "plt.xlabel(\"Distance to the center of the lens ($\\mu m$)\")\n", "plt.ylabel(\"Si thickness ($\\mu m$)\")" ] }, { "cell_type": "markdown", "id": "c4dc99d6", "metadata": {}, "source": [ "From the above thickness profile, we can construct the Luneburg lens strucutre using a series of [Cylinders](https://docs.flexcompute.com/projects/tidy3d/en/v1.9.0rc2/_autosummary/tidy3d.Cylinder.html?highlight=cylinder). The radius and length of each cylinder follows the above plot. " ] }, { "cell_type": "code", "execution_count": 13, "id": "aeb13295", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:43:09.722839Z", "iopub.status.busy": "2023-02-03T04:43:09.722760Z", "iopub.status.idle": "2023-02-03T04:43:09.726910Z", "shell.execute_reply": "2023-02-03T04:43:09.726663Z" } }, "outputs": [], "source": [ "lens = []\n", "for i in range(len(r)):\n", " lens.append(\n", " td.Structure(\n", " geometry=td.Cylinder(center=(0, 0, t_lens[i] / 2), radius=r[i], length=t_lens[i]),\n", " medium=si,\n", " )\n", " )" ] }, { "cell_type": "markdown", "id": "34ca9a8f", "metadata": {}, "source": [ "Build the input and output waveguides." ] }, { "cell_type": "code", "execution_count": 14, "id": "dc1301a0", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:43:09.728273Z", "iopub.status.busy": "2023-02-03T04:43:09.728194Z", "iopub.status.idle": "2023-02-03T04:43:09.730386Z", "shell.execute_reply": "2023-02-03T04:43:09.730150Z" } }, "outputs": [], "source": [ "wg_in = td.Structure(\n", " geometry=td.Box.from_bounds(rmin=(-inf_eff, -w_in / 2, 0), rmax=(0, w_in / 2, t_wg)), medium=si\n", ")\n", "wg_out = td.Structure(\n", " geometry=td.Box.from_bounds(rmin=(0, -w_out / 2, 0), rmax=(inf_eff, w_out / 2, t_wg)), medium=si\n", ")" ] }, { "cell_type": "code", "execution_count": 15, "id": "c50e9c35", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:43:09.731781Z", "iopub.status.busy": "2023-02-03T04:43:09.731694Z", "iopub.status.idle": "2023-02-03T04:43:09.981942Z", "shell.execute_reply": "2023-02-03T04:43:09.981692Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# define the simulation domain size\n", "Lx = L_a + 2 * lda0\n", "Ly = L_a + 3 * lda0\n", "Lz = t_wg + 1.5 * lda0\n", "sim_size = (Lx, Ly, Lz)\n", "\n", "# add a mode source that launches the TE0 mode at the input waveguide\n", "mode_source = td.ModeSource(\n", " center=(-lda0 / 2 - R_lens, 0, t_wg / 2),\n", " size=(0, 2 * w_in, 6 * t_wg),\n", " source_time=td.GaussianPulse(freq0=freq0, fwidth=freq0 / 10),\n", " direction=\"+\",\n", " mode_spec=td.ModeSpec(num_modes=1, target_neff=n_si),\n", " mode_index=0,\n", ")\n", "\n", "# add a field monitor to visualize the field distribution at z=t_wg/2\n", "field_monitor = td.FieldMonitor(\n", " center=(0, 0, t_wg / 2), size=(td.inf, td.inf, 0), freqs=[freq0], name=\"field\"\n", ")\n", "\n", "# add a flux monitor to measure transmission to the output waveguide\n", "flux_monitor = td.FluxMonitor(\n", " center=(lda0 / 2 + R_lens, 0, t_wg / 2), size=(0, 4 * w_out, 6 * t_wg), freqs=freqs, name=\"flux\"\n", ")\n", "\n", "run_time = 2e-12 # simulation run time\n", "\n", "# define simulation\n", "sim = td.Simulation(\n", " center=(0, 0, t_wg / 2),\n", " size=sim_size,\n", " grid_spec=td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lda0),\n", " structures=lens + [wg_in, wg_out, sub],\n", " sources=[mode_source],\n", " monitors=[field_monitor, flux_monitor],\n", " run_time=run_time,\n", " boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n", " symmetry=(0, -1, 0),\n", ")\n", "\n", "# visualize the simulation setup\n", "sim.plot(z=t_wg/4)" ] }, { "cell_type": "markdown", "id": "5e61baa3", "metadata": {}, "source": [ "Submit the simulation to the server." ] }, { "cell_type": "code", "execution_count": 16, "id": "688ed54e", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:43:09.983360Z", "iopub.status.busy": "2023-02-03T04:43:09.983282Z", "shell.execute_reply": "2023-02-03T04:55:42.357418Z" } }, "outputs": [ { "data": { "text/html": [ "
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       "version_minor": 0
      },
      "text/plain": [
       "Output()"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
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     "metadata": {},
     "output_type": "display_data"
    },
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       "Output()"
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     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "job = web.Job(simulation=sim, task_name=\"luneburg_lens_taper\")\n",
    "sim_data = job.run(path=\"data/simulation_data.hdf5\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "96585808",
   "metadata": {},
   "source": [
    "After the simulation is complete, we can visualize the field distribution. In the Luneburg lens region, the wave front converges into a focus and the coupling to the output waveguide is efficient."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "id": "1855adf3",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2023-02-03T04:55:47.751639Z",
     "iopub.status.busy": "2023-02-03T04:55:47.751179Z",
     "iopub.status.idle": "2023-02-03T04:55:48.783724Z",
     "shell.execute_reply": "2023-02-03T04:55:48.783463Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       ""
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
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\n",
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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sim_data.plot_field(\"field\", \"Ey\", vmin=-50, vmax=50)" ] }, { "cell_type": "markdown", "id": "9be095ca", "metadata": {}, "source": [ "More importantly, we need to quantitatively examine the insertion loss and compare that to a linear taper. The Luneburg lens is only about 10 $\\mu m$ in length. Here, we plot the insertion loss of the Luneburg lens size converter to a 50 $\\mu m$ linear taper. From the plot, we can see that the Luneburg lens outperforms the 50 $\\mu m$ linear taper while being only 1/5 in size." ] }, { "cell_type": "code", "execution_count": 18, "id": "874a5943", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:55:48.785204Z", "iopub.status.busy": "2023-02-03T04:55:48.785096Z", "iopub.status.idle": "2023-02-03T04:55:48.954166Z", "shell.execute_reply": "2023-02-03T04:55:48.953899Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T_luneburg = sim_data[\"flux\"].flux # transmission of the luneburg lens\n", "sim_data_linear = batch_results[f\"L_t=50\"] # simulation of the 50 um lienar taper\n", "T_linear = sim_data_linear[\"flux\"].flux # transmission of the linear taper\n", "\n", "# plotting the insertion loss of the luneburg lens and the linear taper\n", "plt.plot(ldas, 10 * np.log10(T_luneburg), label=\"Luneburg lens taper\")\n", "plt.plot(ldas, 10 * np.log10(T_linear), label=\"50 $\\mu m$ linear taper\")\n", "plt.title(\"Comparison between Luneburg lens and linear tapers\")\n", "plt.ylim(-3, 0)\n", "plt.xlabel(\"Wavelength ($\\mu m$)\")\n", "plt.ylabel(\"Insertion loss (dB)\")\n", "plt.legend()" ] }, { "cell_type": "markdown", "id": "18fa3948", "metadata": {}, "source": [ "## Semi-lens Beam Expander " ] }, { "cell_type": "markdown", "id": "54e7ae80", "metadata": {}, "source": [ "The Luneburg lens design introduced in the previous section requires a more complicated fabrication since the thickness of the Si layer needs to gradually vary. This is not desirable in many cases. There are a number of other designs that circumvent this issue. One such example is introduced in [Siamak Abbaslou, Robert Gatdula, Ming Lu, Aaron Stein, and Wei Jiang, \"Ultra-short beam expander with segmented curvature control: the emergence of a semi-lens,\" Opt. Lett. 42, 4383-4386 (2017)](https://opg.optica.org/ol/abstract.cfm?uri=ol-42-21-4383), where a compact waveguide taper is segmented into 6 segments and oarticle swarm optimization algorithm is used to optimize the shape of each segment. The result of the optimization is a semi-lens structure that also outperforms the conventional adiabatic taper of the same length by a great margin. \n", "\n", "In the previous models, the input waveguide is wider than the output waveguide. In this case, we model a beam expander so the output waveguide is 9 $\\mu m$ wide and the input waveguide is 450 nm wide. \n", "\n", "" ] }, { "cell_type": "code", "execution_count": 19, "id": "4aafe94a", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:55:48.955729Z", "iopub.status.busy": "2023-02-03T04:55:48.955621Z", "iopub.status.idle": "2023-02-03T04:55:48.957986Z", "shell.execute_reply": "2023-02-03T04:55:48.957762Z" } }, "outputs": [], "source": [ "t_wg = 0.26 # thickness of the waveguide\n", "w_0 = 0.45 # width of the input waveguide\n", "w_6 = 9 # width of the output waveguide\n", "\n", "# optimized design parameters\n", "m_i = [3, 1.1, 0.01, 3, 0.32, 2.55]\n", "w_i = [w_0, 1.7, 3.3, 9.06, 10, 3.19, w_6]\n", "L_i = [1, 3.61, 0.05, 0.7, 3.11, 1.03]\n", "\n", "L_tot = np.sum(L_i) # total length of the device" ] }, { "cell_type": "markdown", "id": "5d0141c0", "metadata": {}, "source": [ "The width of each segment of the device is described by $w(x_i)=(w_i-w_{i+1})|\\frac{x_i-L_i}{L_i}|^{m_i}$, where $i=1,2,...,6$, $w_i$ is the width at the begining of each segment, $L_i$ is the length of each segment, and $m_i$ is the curvature of each segment. The optimized values of $w_i$, $L_i$, and $m_i$ are listed above.\n", "\n", "The structure of the deive will be constructed using a series of [PolySlabs](https://docs.flexcompute.com/projects/tidy3d/en/v1.9.0rc2/_autosummary/tidy3d.PolySlab.html?highlight=polyslab). The vertices are calculated from the above equation and the optimized parameters." ] }, { "cell_type": "code", "execution_count": 20, "id": "a7a76f40", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:55:48.959377Z", "iopub.status.busy": "2023-02-03T04:55:48.959280Z", "iopub.status.idle": "2023-02-03T04:55:49.024000Z", "shell.execute_reply": "2023-02-03T04:55:49.023757Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "X = np.array([-inf_eff]) # x coordinate of the vertices\n", "Y = np.array([w_0 / 2]) # y coordinate of the vertices\n", "\n", "# obtain the vertices in the upper half of each segment\n", "for i in range(6):\n", " if i == 0:\n", " x = np.linspace(0, L_i[0], 60)\n", " else:\n", " x = np.linspace(np.sum(L_i[0:i]), np.sum(L_i[0 : i + 1]), 60)\n", " x_i = x - np.sum(L_i[0:i])\n", " y = (w_i[i] - w_i[i + 1]) * np.abs((x_i - L_i[i]) / L_i[i]) ** m_i[i] + w_i[i + 1]\n", " X = np.append(X, x)\n", " Y = np.append(Y, y / 2)\n", " plt.plot(x, y / 2)\n", " plt.plot(x, -y / 2)\n", "\n", "plt.title(\"vertices of the semi-lens structure\")\n", "\n", "# obtain the vertices in the lower half of the structure\n", "X = np.append(X, inf_eff)\n", "X = np.concatenate((X, np.flipud(X)))\n", "Y = np.append(Y, w_6 / 2)\n", "Y = np.concatenate((Y, -np.flipud(Y)))\n", "\n", "vertices = np.transpose(np.vstack((X, Y)))\n", "\n", "# construct the semi-lens structure using the above vertices\n", "semi_lens = td.Structure(\n", " geometry=td.PolySlab(vertices=vertices, axis=2, slab_bounds=(0, t_wg)), medium=si\n", ")" ] }, { "cell_type": "markdown", "id": "c08344ce", "metadata": {}, "source": [ "The simulation will be defined in a similar way as previou simulations. Since in this model, the output waveguide supports higher order modes, we add an additional [ModeMonitor](https://docs.flexcompute.com/projects/tidy3d/en/v1.9.0rc2/_autosummary/tidy3d.ModeMonitor.html) to investigate the mode composition at the output waveguide. Ideally, the fundamental TE mode should be dominant." ] }, { "cell_type": "code", "execution_count": 21, "id": "e585a9ed", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:55:49.025434Z", "iopub.status.busy": "2023-02-03T04:55:49.025353Z", "iopub.status.idle": "2023-02-03T04:55:49.029175Z", "shell.execute_reply": "2023-02-03T04:55:49.028908Z" } }, "outputs": [], "source": [ "# define the simulation domain size\n", "Lx = L_tot + 4 * lda0\n", "Ly = np.max(w_i) + 4 * lda0\n", "Lz = 10 * t_wg\n", "\n", "sim_size = (Lx, Ly, Lz)\n", "\n", "# add a mode source that launches the TE0 mode at the input waveguide\n", "mode_spec = td.ModeSpec(num_modes=5, target_neff=n_si)\n", "mode_source = td.ModeSource(\n", " center=(-lda0, 0, t_wg / 2),\n", " size=(0, 4 * w_0, 5 * t_wg),\n", " source_time=td.GaussianPulse(freq0=freq0, fwidth=freq0 / 10),\n", " direction=\"+\",\n", " mode_spec=mode_spec,\n", " mode_index=0,\n", ")\n", "\n", "# add a field monitor to visualize the field distribution at z=t_wg/2\n", "field_monitor = td.FieldMonitor(\n", " center=(0, 0, t_wg / 2), size=(td.inf, td.inf, 0), freqs=[freq0], name=\"field\"\n", ")\n", "\n", "# add a flux monitor to measure transmission to the output waveguide\n", "flux_monitor = td.FluxMonitor(\n", " center=(L_tot + 2 * lda0, 0, t_wg / 2), size=(0, 1.2 * w_6, 5 * t_wg), freqs=freqs, name=\"flux\"\n", ")\n", "\n", "# add a mode source to measure the mode composition at the output waveguide\n", "mode_monitor = td.ModeMonitor(\n", " center=(L_tot + 2 * lda0, 0, t_wg / 2),\n", " size=(0, 1.2 * w_6, 5 * t_wg),\n", " freqs=freqs,\n", " mode_spec=mode_spec,\n", " name=\"mode\",\n", ")" ] }, { "cell_type": "code", "execution_count": 22, "id": "ca27323f", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:55:49.030551Z", "iopub.status.busy": "2023-02-03T04:55:49.030471Z", "iopub.status.idle": "2023-02-03T04:55:49.142292Z", "shell.execute_reply": "2023-02-03T04:55:49.142058Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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q1Kn6O9/5jn7sscf6lKe7u1t/6Utf0i0tLRrAoF3VTz755AG7mq9YsWLIMg3F93193XXX6RkzZuhAIKAPO+wwfc899/TZLtt1f+PGjXmPD1S23q9Xe3u7/trXvqbnzp2rI5GIDgQC+uCDD9ZLly4teigEDR/n+iMioqrGe1RERFTVGFRERFTVGFRERFTVGFRERFTVGFRERFTVGFRERFTV6mrAr1IK27ZtQ2NjY0mzWhMRUflordHV1YWpU6cOOol0XQXVtm3bqmYiUSIiyti8eXPe6t/7q6ugamxsBAB85x+/hVCoZ00bx80MS7ctYFKLVZGrLcdV6Ixnlv9uiRgIWKPfKqu1Rns0M7eebQk0Ryrz9ojGPaTdzDj0tmaT9QHWB+ujRy3Wh+tpdMQycy72Lm4ymcYNN92S+2weSF0FVbZCQyEbDZEwACDtKggDkAIIBiRcLTC+0YAcxcp3XIW466N5X125CmgOju7JqLTG7piPSMSCbQqkXA1pSDSGS1tColRdCR+GZWJcWCDtadYH64P10Uut1ofjacRdE1IAUvYt61BhW9edKdKugucDhgQsU6C1wYDrZ96QapRmlnJchY4uH5YhMKHZxIRmE5Yh0NHlw3GHtx5QobInoetrTGg0ML7JRFNIIpZU6Er4o1IGIHMSxpIKTSGJ8U0mJjSyPlgfrI+seq6Pug2qbEiZBhAwM2lumWJUK793pY9vynwrkiLz/6N1Mu5/Ema/FTWGjVE9GXufhNlvqQFLsj5YH6wPsD7qMqhcD7mQsve7XB2tyu+v0rNGq/IHOgmzRutk7O8kzGJ99GB9ZLA+etRLfdRlUCndf0hljXTlD1bpWSNd+UOdhFkjfTIOdhJmsT56sD4yWB896qE+6jKopBg4pLJGqvILqfSeco5M5Rd6EmaN1MlYyEmYxfrowfrIYH30GMv1AdRpUFkF9nUsd+UXU+lZ5a78Yk/CrHKfjMWchFmsjx6sjwzWR4+xWB+545blKGNYuSq/lErPKlfll3oSZpXrZCzlJMxiffRgfWSwPnqMpfrIO+awj1AHhlv5w6n0rOFW/nBPwqzhnozDOQmzWB89WB8ZrI8e1Vgfrje8qzsGVYFKrfxyVHpWqSdjuU7CrFJPxnKchFmsjx6sjwzWR49qq4+93T6UKj2saiaofN/H97//fcyaNQuhUAhz5szBtddeCz1KA92A4iu/nJWeVezJWO6TMKvYk7GcJ2EW66MH6yOD9dGjmurDNABPAX6JYVUzQXX99dfjjjvuwL/+679i3bp1uP7663HDDTfgtttuG9VyFFr5I1HpWYWejCN1EmYVejKOxEmYxfrowfrIYH30qJb6aGkwIAA4HuD5xd+zqpm5/p5//nmceeaZWLRoEQBg5syZuO+++/DSSy8VfSytkXcZqrSG1ii8HVUINIck9sZ97OrUaG0w8uaqcl2FvXEfpiHQFJbwfCAz7W15NYUl9nb72BX10BoxYPU60bTW2Nvtw/M1WiMGIAScYbYT98cOSIR9jc545t+KhPJPtHjSR3dKoSEoYQfkiJSB9dGD9dGD9bFPFdSH72eGBSkNpF1AawVDChTaIFYzQXX88cfj5z//Od555x185CMfwV/+8hc8++yzuPnmm4s+lkbmBctSOhNeaVfBV4V/k2gIGnA8hVhCIWAKCAEoBTiegm1JBEyxb5bjkWueDO17c8fTCgEfkDLzXBxPQ4pMGX0N+M7ITTVjGAKRoITja+hk5g0PAJ6v4foakaCEYQikRrAMAOsji/XRg/XRo5L14fkaEIBlAL7KzA6kDV3wv1QzQbVs2TLEYjHMnTsXhmHA93386Ec/wtlnnz3gPul0Gul0Ovd7LBYDALQ1WWhqtHKPu55G2lX4u2Ob0RwZ3dmQiYjGumjcx3+/HIVtSZgGclezQbOwz9uaCarf/va3uPfee/HrX/8ahx12GF5//XUsXboUU6dOxXnnndfvPitXrsTVV1/d53HLFLmJaLN8JdAcMTCusWZeEiKimmEaIvfZO7FFoCPqIdpV2FVkzXSm+Pa3v41ly5bhC1/4Ao444gice+65+Na3voWVK1cOuM/y5csRjUZzP5s3bx7FEhMRUTnUzOVDIpGAlPm5ahgGlBo4kW3bhm3bA/6diIhGV7a3pacyqwMXomaC6tOf/jR+9KMf4cADD8Rhhx2G1157DTfffDO++tWvVrpoRERUAK01dsdUbkhAMlVYo17NBNVtt92G73//+7jkkkuwa9cuTJ06FRdddBGuuuqqSheNiIiGoHWmE4XSyI1bS6YK27dmgqqxsRG33norbr311koXhYiIiuR4Gp6vMbHZLHpwdc10piAiotqldWZwdSkzgDCoiIhoxAVMmTc7SDEYVERENOLkMNKGQUVERFWNQUVERFWtLoMqnip9mWgiIhpddRpUpS0TTUREo68ugyoSLH6ZaCIiqoyaGfBbTpGgAWlkwgrILG5GRETVqS6DCkBuyedYUiHsaxhG+ZZeJiKi8qnboAJ6wqoz7iPEqyoioqpU95/OjWEDtiXg65FbDpuIiEpX90HluAqOx5AiIqpWdR1UjqvQ0eXDNASCJc5BRUREI6tuP52zIWUZAq0NBgT7UhARVaW67EzhugpxNxNS45sMeD4AsPmPiKga1eUVVWeiJ6QkL6WIiKpaXQaVyZAiIqoZdRlULRGGFBFRrajLoBIMKSKimlGXQUVERLWDQUVERCNuOJP/MKiIiGjEOZ6GLjGtGFRERDTitNbY2+1DlRBWDCoiIhpxAVPC8zV2x4oPKwYVERGNOCmB1ogBt4SwYlAREdGosCyJCY09YVXoPSsGFRERjZpAr7Bqj3oF7cOgIiKiURWwJGyz8IkXGFRERDSquhI+Uq6GbRUWVnW5zAcREVVGV8JHLKnQFJJQgcIiiFdUREQ0KuLJnpBqDBsF78egIiKiEef5Gt2p4kMKqLGg2rp1K8455xyMHz8eoVAIRxxxBP785z9XulhERDQE19doCBYfUkAN3aPau3cvTjjhBJx66qn4wx/+gLa2NmzYsAGtra2VLhoREQ3BMgQioeJDCqihoLr++usxffp0rFq1KvfYrFmzKlgiIiIqlGmUvg5gzTT9/ed//ifmz5+Ps846CxMnTsQxxxyDX/ziF5UuFhERjbCaCar3338fd9xxBw4++GA89thjuPjii/HNb34Tv/rVrwbcJ51OIxaL5f0QEVFtqZmmP6UU5s+fj+uuuw4AcMwxx+DNN9/EnXfeifPOO6/ffVauXImrr766z+Ouq0a0rEREVD41c0U1ZcoUfPSjH8177NBDD8WHH3444D7Lly9HNBrN/WzevBkA0Jnw4TCsiIhqQs1cUZ1wwglYv3593mPvvPMOZsyYMeA+tm3Dtu0+j5uGQEeXjwmNmTmniIioetXMp/S3vvUt/OlPf8J1112Hd999F7/+9a/x85//HEuWLCn6WC0RA9a+sOKVFRFRdauZoDr22GPx+9//Hvfddx8OP/xwXHvttbj11ltx9tlnF30sIQTGN/WEFe9ZERFVr5pp+gOAM844A2eccUZZjiX3hdXumI+9cR8NwdIGohER0ciqmSuqkZANK0MCaY9XVURE1aiug4qIiKpfXQeV0hq7Yz58BdhmXb8URERVq24/nbMh5foarREDsm5fCSKi6laXH8+6V0hNaDRgcSwVEVHVqstP6M54T0hxwC8RUXWry09pjyFFRFQzamocVbm0hBlSRESDSrUDW/8z/7EDPgME20a9KHX5ac17UkREtYOf2EREVNUYVEREVNUYVERENOI8X5e8L4OKiIhGnOtrxJN+SfsyqIiIaMRZhkB3SqErUXxYMaiIiGjEmYZAQ1Ailiw+rOpyHBVRNfOVQlfSQdLx4PgKWmsYQmByawSWwXXTqHZFQgZMQyGWLG5ZJQYVURVQSuGDji5s3BXFrlgSSvc9kQ0hMW18A2a2NWNqSxiSMylTDWoMZ75sxZIKvusVtA+DiqjCtnfG8dJ7O9CdcgbdztcKmzpi2NQRg20ZmDmhCbMmNmNcJAghxCiVlmj4GsMGHE9jT6KwnoAMKqIK0VrjrS278ZcP24veN+36WL99L9Zv34uWcBCzJzZjVlsTggGe0lT9HFch7RXeXZ3vaqIKeX1TO/66dfewj9OZSOHVD1J4fdMuHDCuAQdNasHklggkr7KoCjmuQkeXD8sQaGsuLIIYVEQVsH7bnrKEVG9Ka2ze3YXNu7sQsS0cNKkFsyc1IxywyvrvEJXKdRWiSQXLEBjfZKCru7AvUwwqolHWEUvilY27RvTfiKdd/OXDdvzPhx2YPqERH5ncgolNYd7LoopRCoilfNiWxPgmo6grfgYV0SjyfIXnN2yDRunTyRRDQ+PDjhg+7IihJRzER6a0YFZbM0yDPQZpdDmegrnvSqrYZmkGFdEoemvrbnQN0btvpHQmUnjpvR14fVM7Dp7Uio9MbWGzII0aIQRaI7Kke6cMKqJREk+5WLdlT6WLAcfz8dbWDqzbthsz25pw6NRxaIkEK10sGuMCpii56ZlBRTRK3tjSAb+fgbyVorTG+7uieH9XFAe0NuCwaRPQ1hSqdLFojBrO7VEGFdEo2RVNVLoIA9q6txtb93ZjUnMER0wfj0nNkUoXaVR5vsKeeAqJtAelR+f+YbUz3S60pty8x/bu7oJnBYo+VldCIe350PDh+j2JlXTdQfbqVZai/8UxQPONSNSvndE4dkbjmNgUxpEHThjzgZVyPLyxuQPv74rCU9VztVsNIojiSJnMe+x/OnchjnTRx3JdiXgqjKTU6D3zVyLBoBpQZ9xHU6PmgEiiAeyKJfDEmx9icnMERx3YhgljsElwVyyBZ97egpRb2hpJNHrqMqg8X2N3zC+pmyRRPdkRjWPHG3FMH9eIo2a2oTlkV7pIZdEeS2LNW5vh8yqqJtRlULWEDTi9woqIBrd5Txe27OnGQZNbcOT0CTU9p2Ai7eLptxlStaQuR/1ZlsSERgPuvrDiPSuioWlobNixF//56vtYt20PVA1+0Gut8cKG7Uizua+m1GVQAUCgV1jt7fbBrCIqjOv7eHXjTvz36x9gZzRe6eIUZWN7DDtqrMxUw0H14x//GEIILF26tORjZMPK8zVSbu19OySqpGgyjSfe/BDPv7MNKaewBfAqyfMVXt9U/JIqVHk1GVQvv/wyfvazn+HII48c9rEClkTAZIcKolJtbI/iv157H+/vilZ1M/qGHZ1IOoV1h6bqUnNB1d3djbPPPhu/+MUv0NraOuzjdSV8pF0Ng73/iErmeD5e2LANT6/bgkQVhoGnFNaVeVkVGj01F1RLlizBokWLsHDhwmEfqyvhI5ZUaAhKBCwGFdFwbd3bjUde24hNHbFKFyXPpvYuJN3qb56k/tVUH9Pf/OY3ePXVV/Hyyy8XtH06nUY63TOKOhbrOXmyIdUUkrADEimH96iIysHxfDy7fiu2d8Yxf9akqlhS5J0deytdBBqGyr+DCrR582ZcdtlluPfeexEMFjbT88qVK9Hc3Jz7mT59OgAgnuoJqcYwx1ERjYT3dnbi0b98gM5E8VPulNOe7hT2dCeH3pCqVs0E1SuvvIJdu3bh//v//j+YpgnTNPH000/jJz/5CUzThO/3HRexfPlyRKPR3M/mzZsBAPEUQ4poNESTaTz2lw8q2hT4/q7Oiv3bVB410/R32mmn4Y033sh77Ctf+Qrmzp2L7373uzCMvqFj2zZsu++UL5EgQ4potHhK4dn1W9EZT+OIAyeM6rRlSil8UGX3y6h4NRNUjY2NOPzww/Mei0QiGD9+fJ/HhxIJMqSIRtubWzoQSzr42MFTRu2+1c5ogrNQjAE10/RHRLXvw90xrHnrw1ELjw93d43Kv0Mjq2auqPrz1FNPVboIRFSk9q4kVr+5CZ84bDrCAWvE/h2lNLbsYVCNBbyiIqJRF02k8cQbHyKRHrnBwR3dSa41NUYwqIioIrpSDp5488MRm8li657uETkulUYpAVXiDFsMKiKqmK6UgzVvbR6Re1bbOzlLelURgOcZKGV1GAYVEVVUNJHG029vgeeXb3aYhONibzxVtuPR8EmhIYSGW0JYMaiIqOLaYwm8+N6Oss2+vqMzUZbjUHmZhioprBhURFQVPmiP4q/b9pTlWLW2oGO9EAKwzF5hVeD3EgYVEVWNv3zQPuyQ0VpjJ6+oqlYurKDhuoVNvsCgIqKqoaHx3Dvbh9W5ojvtIl6Fa2JR6RhURFRVko6Ll97bUfL+u6KcKb2aaQ24noSGgGUV9oWEQUVEVefD3TFsLnH6o/YuNvtVq1xIaQHL9CELnJ+YQUVEVenl93fC7Wf5nqG0xxhU1crze4VUEenDoCKiqpR0XPx1S3G9AFOuj1jSGaES0XAoLUoKKYBBRURVbN3WPYgXMR9gRxfvT1UtDZglhBTAoCKiKuZrhb9u2V3w9rsZVFVLSl3wPak++5a3KERE5fXuzmjBE9fyimpsYlARUVVTWmHD9s4ht9NaY3c35/cbixhURFT13t3ZCX+IyeG6Um5JvQSp+tVlUMVTfDMT1ZKU62Hz7sHXl9rTzWa/sapOg0qhK8GwIqolmzqig/59D5v9xqy6DKpIUCKWZFgR1ZJtexODNu3tiadHsTQ0muo0qAw0hRhWRLVEaTXg8vJaa+zlFdWYVZdBBQCN4Z6wiicZVkS1YOve/pcAiaddOOxIMWaZlS5AJTWGM2uhdMZ9hAJ1m9lENWOgefz2stlvTKv7T+fGsAHbEvDLtAQ2EY2ceNrtd/Dv3jib/cayug8qx1VwPIYUUa1oj/Xtht7JK6oxra6DynEVOrp8mIZA0Krrl4KoZvQbVAkG1VhWt5/O2ZCyDIHWBgOixMkSiWh07R9Knq/QleLSHmNZXXamcF2FuJsJqfFNBjwfANj8RyOL77Dy2H8sVTTJq6mxri6vqDoTPSEleSlFVFNcL3/Ov844r6bGuroMKpMhRVSzXD8/qKJJ9vgb6+oyqFoiDCmiWrX/FVU0wSuqsa4ug0owpIhqlq9V3pIfUfb4G/PqMqiIqLZlm/9cXyGeLmz1X6pdNRNUK1euxLHHHovGxkZMnDgRixcvxvr16ytdLCKqgGzzX4w9/upCzQTV008/jSVLluBPf/oTVq9eDdd18clPfhLxeP+TVBLR2JW9oooleX+qVigtUOpMdTUzjurRRx/N+/2uu+7CxIkT8corr+Ckk06qUKmIqBKyY6li7EhROzTg+RJSqqInWKiZK6r9RaOZ1T7HjRtX4ZIQ0WhzeEVVc6TU0FrA9WTRV1Y1c0XVm1IKS5cuxQknnIDDDz98wO3S6TTS6Z427FgsNhrFI6IR1nOPikFVS0zTh+8bcD0Jy1RD77BPTV5RLVmyBG+++SZ+85vfDLrdypUr0dzcnPuZPn36KJWQqC/NpWTKxvV8KK3RxaCqKVIAlukXfWVVc0F16aWX4uGHH8batWsxbdq0Qbddvnw5otFo7mfz5s2jVEoiGkmur5BIu/B14d/KqTpI2RNWjmsUtE/NNP1prfGNb3wDv//97/HUU09h1qxZQ+5j2zZs2x6F0hHRaHJ9xaupGiYlIEXhLQw1E1RLlizBr3/9azz00ENobGzEjh07AADNzc0IhUIVLh0RjSbHV7w/VcM8T8BXAoYsLKxqpunvjjvuQDQaxSmnnIIpU6bkfu6///5KF42IRpnr+ehKcUaKWuR5Ap4vYRoKZoEdKmrmioo3oqnW7T/rN5XO9RVcn1dUtcb3BXyVDSkNp8AqrJmgIqplHV1JOJ4/9IZUENf3kXL4etYSrQU8X8AyMyFVDAYVUZkppdGVctAZT6MzmUZX0sG2vZzqq5wcl5PR1hqtkbuSKhaDimgYPF9hbzyNvfEU9sZT2BNPIxpPs9v0CIslHWjwdkAtEQIwjNLqjEFFVKBsKO3pTmJ3dwp74imuhVQhDKnaI4rojr4/BhVRP5RSiCYddHQlsac7hd3dKXTG0/yAJKoABhXVPa01EmkPHd1J7O5KoqM7hT3dqbxVZImocuoyqFyXH0D1zPUV9nQn0dGVygVT0uGNeaJqVZdB1Znw0dSoELBqZrwzlUhrje6Ui/auJDr2/bAJj6i21GVQmYZAR5ePCY1gWI0xnq+wu7snlDq6kki5HG9DVMvqMqhaIgZc3RNWRS83SVUjkc5cLbV3JdERy3R84NUS0dhSl0ElhMD4RgO7Yz46unw0h3hVVQuU0uhMpNHRlUR7LIH2riQHfRLVgboMKgCQQmB8Uyas9sZ9NAQLWxeFRo/rq7xQ2t2V5Hx5RHWoboMK6AmrnXsV0h4/ACst4bhoj2Wa8dpjCeztZqcHIqrzoKLK0VqjK+WiPZbArlgCu2JJdKc4GzYR9VXXQaW0xu6YD18BoQDvU40kpRT2JtLYFdvXlBdLsDceERWkboMqG1Kur9EaMeCzhamsst3E22NJ7Iwl0BFLwuNMD0RUgroMKt0rpCY0GoAQ8B1+iA6H4/lojyWxK5ZAe1cCu7tSUFzskojKoC6DqjPuI2BnQipgSTgeP1CLlXI9tEcT2NWVxK5oAnviqUoXiYjGqLoMKs/XmLovpIYr6SexLrku77FDQ4ciZISGfexK0VrvW+pbwVcaGhp63ximnbEk2qMJRJNc3oKIRkddBlVLuDwhNVZ0JR1s3duN9lgSnYkU4imPC/8RUdWoy6CyGFJQWmPL7i6s27YHHV3JSheHiGhAdRlU9W5vdwovvrcDu7sZUERU/RhUdURrjfXb9+K1D3axRx4R1QwGVZ1QSuPPG3diw469lS4KEdUhrQVQ4pRoDKo6oLTGi+9tx/u7opUuChHVKa0B3xeQsviwYq+COvCXTe0MKSKqKCEAz5fwvOLX/+MV1Rjzbtcu3LZ+DY4dPxOnTT4UyS7gr1t3V7pYRFQAAy7axDZMEZvQrqdiiz6o0kUqGyE0TEPD8yUABdMs/MqKQTXGrN6+DvdufAm/3fQKQkYAUzABR4Zm4LDggWg1I5UuHhHtp3c4TZGbYCMFEy6a9F5s8cdOUAGAYWgIoXJhVSgG1RhkGyYmBhuxszuOt/wP8VbyQ9jSwhx7Mo4KzWRoEVVYf+EkoOFpAykEYaP45rFakbmSUvuaAQu7+8SgGqMcVyEoLARNC0prpLSDvyY346/JzQwtogoYKpw06meVcdPU0FrDV4UFMoNqDFJaI+n0rPUkhUBY2AhLm6FFNIoYTv1TClC68KtGBtUY5PoKIdH/jUqGFtHIYjgNTinA9QwIoRGwCls8tS6DKuG4MFI9T93zNRwPeH9XFO1dxbUNO0hjp0rkPWbFOhFAZaYn2ra3G77SKORcYGgRlQfDqTBKA76fCSnLVPDcwvaruaD66U9/ihtvvBE7duzAUUcdhdtuuw3HHXdcUcfoSrrwRc9NPKUApQTe3ByFZRU3a7gvHMRDUTyz9wNsScUAAKb3CoSuzBtzj9+dGVlXJIYWUXFGOpyCSOBY+WSZSls8Cw7GiR2whANXBwAIHCWfh4tA0cdSlkBinAmlBYTQkCIzrspt9PGDAvavqaC6//77cfnll+POO+/EggULcOutt+L000/H+vXrMXHixIqVSwN4cvd76PYcmEICWkJUsNdOUFrD2p+hRdS/0bpycmAjLLoQEV1lOV4pBBRMuDDgwxZpaAjYIgVdwjwRWgAqLKCRCajc4wV+qS46qM477zxccMEFOOmkk4rdddhuvvlmXHjhhfjKV74CALjzzjvxyCOP4Je//CWWLVs26uXZX9iwEDYsSBWoaFCVE0OL6l0lmvUUDCR1Q9mPWwwJH2HRBQM+FAQULCR1BKqE56u1gOtLADovqJTSABID7ZZTdFBFo1EsXLgQM2bMwFe+8hWcd955OOCAA4o9TNEcx8Err7yC5cuX5x6TUmLhwoV44YUXRvzfp8JD66jQTDTW8ArHRAIKk8Rm3nOqEkUH1YMPPoj29nbcfffd+NWvfoUVK1Zg4cKFuOCCC3DmmWfCsobX7DSQjo4O+L6PSZMm5T0+adIkvP322/3uk06nkU73LJkei2XuIUkoSPTubSIACFhIIoDCeqFk+XBhawcCutePGjNXVAMxBBARFiLSgq8Von4Srybew7uprTCRxkkNH6l0EYlKFkQcxxprEEQCGgIpHYbf6+NSFDGrQq0S+810rnt9vpVyNAzjU7Gke1RtbW24/PLLcfnll+PVV1/FqlWrcO6556KhoQHnnHMOLrnkEhx88MElFql8Vq5ciauvvrrP47boRlj0fCPyhAFPWDjAWIeIMfRlaG8aCp6XREB7UFojpDUgvGGXvdpprZHUCnHlQwMISwOHBxpwYqQFJ4Y7McF4vdJFJCqZgMJO3YZmEUUjuhAScWTOdgkfBjDGv4hm6VxYaQAalkiVdBwFCQ9hQOj9XrkRukfV2/bt27F69WqsXr0ahmHg7/7u7/DGG2/gox/9KG644QZ861vfGs7h80yYMAGGYWDnzp15j+/cuROTJ0/ud5/ly5fj8ssvz/0ei8Uwffp0QAuoXjcEs98TfG3B08X1aNHChwtn38udOQ4gIIoYzFYresLJgwZgS4m5diNOCI/HsaEWHGAFc9t6XJeRalwHJqNDT4YBD83oRIvYi0YRg4XMF1EfxpgOrYGunErqTLHvs1Hs+61YRQeV67r4z//8T6xatQqPP/44jjzySCxduhRf+tKX0NTUBAD4/e9/j69+9atlDapAIIB58+bhySefxOLFiwEASik8+eSTuPTSS/vdx7Zt2Lbd5/GEF0JYe71u6mXCRcGAKvIl0RDwRebN2q08pLSueLNfSBgIy/K0oWfDKZELJwNzg004Pjwe80OtOMDquRc19htDqB4pmD2hpV00oxOtYg+aRCcCcAHosodWpsddpVtmNIx9t0IkNAB/X3Ng8c9RQ0AYqk9QFfp9vuigmjJlCpRS+OIXv4iXXnoJRx99dJ9tTj31VLS0tBR76CFdfvnlOO+88zB//nwcd9xxuPXWWxGPx3O9AAultUDSDSFidUOIzAfsvj4tCBTQAyWfgqEdLG5uwdvpzCBfoSr3LavTd/G+m0JkGP/+/s16QSlxaDCME8MtOC7U1OvKSQGIl6PYRDWjG2F06zAMPRmN6Mo0D4ouBOCgXM2DJlx4MJHSleuUJKBgChcWXLgwAQh42irpisrTBvamx0FAQfaaNcf1FID3h9y/6KC65ZZbcNZZZyEYDA64TUtLCzZu3FjsoYf0+c9/Hu3t7bjqqquwY8cOHH300Xj00Uf7dLAYSsRKQKEFCS+CpkA3IDWUBhoCCo2B4q4LNBRcAF9rm5B7zEIAokJrUv56zy7c0bEdYoAplAbSE04qE05C4rBgCCdFmrEg1IBpVu8rU6esZSaqVXFEEEcEhvbRgG40ihgaEN93pYV9oSVRbGgJaHiwsBnTR6DUhZHwEdrvi2gSpXVPj3sRvNxxHEzpwJQ9Hda6Ej5GJKjOPffcYncpq0svvXTApr5C2QED4ZCHzqSNuNeKSMCBKQw0NU9Bc7C4D2Ffe9jrdeY91mS2wBCVGUsdTnvA7p1QBcyM0V+z3iF2Y7/NenHecyIaVAwTAJ0Zd9W7edCEj2KbBzV8+NpCXLeOeLkHYsJBeL+p4JK6CV4JM1MkdDB3a8XP6x9QaFnqlGUotITS6Eza6EoHYJvFdUuvZlKIzLnQz7ugmHtORFQ8Hxb2oA17dNuo3dMa6+o2qICesNqTsAFvbA3gM6WE52eaMRlORJXB0CqPug4qIBNWphx77VpCAEntI+4znIiqQXGhRb3VfVDFHQuukmOq6c/RGjvdNIKC4URUjYYKLVnkDDljXV0HVdyxEHcshC0Pxhi5qvpY03h8snUS5jeOx0ktbWjRJtqjlVkbi4iGNlBoRdFS6aJVjfoMKq3RnTYQd0xEAmkEDB+Ob0L7LpRfXK8/pT1A5Q/MU74DISoz/PVgO4hbZh+R95gTEuhKFrhCGRFVjIZAJ1rRua+3n6zgoF8Jr9cUSj2PyRKG3sh9PR97fopTl0GVdCSENhG2EggZKXjKgFZAOtmBtCp+rj9D5YebK9PwKjSOqj8NEpCWC8/j3BFEVBgBBew3HjOI7hLXo3L3DYP29nXXzyi0ibM+g8oPoq3BQySgAdgQyASXHZoAO5gecv/efO0h4cfyHrOMpoqNoxqIHdLo6E6hO8UrKyIamgkHQeRPQpvSDSWNo0rqEBSMfTPQ91pdvcCejtX1aTpKwpaLBttA9gUTQkIIAWFYkEaxMzpIQOe/jNIIQFZZUAHAxBYbZjyFPV2lzYBMRPVD9bNckYJZ9Hyomf2y3e+zP8WpnvapURS0Kj3ZY+WMiwQxbXwDAmZdVj0R1SB+WtWhoGXiwPGNmNgcRsDiW4CIqlv1tU/R6BACTaEAmkIBpF0fccdFyvGQ9hR8n50uiKh6MKgItmXAtgwgkvldaw1faSitoXVPB1XH85F0PCQdPzc9ExFRIdQwFpNlUA2TIUxMsCYMvWENEULANPq+qYKWiaZQZrkP11dIOR6Sroek4+1bV4aIqH++NuArCUMW/1lRl0GllQe/V/d9pQwo30Q60Y6UX+zCifXLAmAZQFMIUFrD81Xux1djY6YPonol4UPvN3FBCLGS1qOCiMCAj5QXhCVjuTWpBMdRDUwIASF6OhEIZH43TBuGyQ/YUhgALKvnd60Ax/eR9ny4ng+HV1xENcWAh/27knva2jcWqjiutiClD6klut0mRKxumNKHRmGfC3UZVBAGpOz5VBVaQmgDZqAJlj3wysVUnACAhn3/r7VGyvVzTYUpx4PmdwKiqmXCgUD+ZAYuQiUN+HURBCARNFNI+0F0u42IWHGAQUXVRAiBUMBEKGBmOm1ojbTnI+lmOmikXA++z+QiGsuEAMJWAgk3jLgbgVaFzZTDoKLKEAK2ZcK2TLSEezpoZK+2ki47aBCNRdmwirsRdLuFLT3EoKKqYRkS1r6xXQDgK5VpLtwXXmnPZ3MhUR1iUFHVMqRExJaI2Jn7idn7XCk3e9XlQ7F3IVFN0RpIuGEoLRGyClsrj0FFNaPPfS5kBiFnw4vjuYiqm9ZAwgvD1wYiVhypAicOqM+g0j5Ur5t4WkloBXhODK7gzOK1RAAISSBkA612T7d4x1f7usWzuZCoFEY/CydaSEKi+KWCXGgACikvCA2JBqsLpvSRYq+/gWmtoXXPC6QhoLWC76XhG1y2vdaZAjBNZN7dWsBXGp5S8PzMf9lcSDQ0Cb/PwokmXMgCw6U3S1iZiRW0RGOg94Dfws7FugwqIU0Yhp37XUFCGgbscBuCweKWoqfak+2kkW0yTLseFFsMifKYcBBG/hf3pG4qaRxVQgfhw0DQTEFICX/fwh2FfmWsy6Ci+rZ/Jw0g/15X2vWRdgub2oWICmMIv6R5/gAGFREAIGAaCJhGrmu81hrp7FWXlwkvdtQgKp0UpTe5M6iI+iGEQDBgIhgwAWSaiZXSmSuufVdfaZfLnRCNBgYVUYGkFAjbFsK9mgx9pTJNhd6+H155EZVdXQZVyjXRXOlC0JhgSImwLfPCS2kNZ9+M8c6+LvJJTsJbVpYp+YWgjtRlUCVcC91pgUggMx5Aa0BrCe27UD57/dHwBSQQCAAIGAAMpFyJHZ1c66xcTCEhDLDpdQTJfsZRSXiQkAPsMdixfGT6+GV/ilOXQRUyUoinG6GVh7CVglYGtALSyQ6kFT9MqPwEgIh0wMuq8jC1BATgCQbVSBFQfcZRBdENXUJQaeFCwocBD2avxRIlF04cWCigYAQ8xJ0whDQRMHwIbcIOTYAdTFe6eDRGpVPd8DhgqywipgkpBeKJ4mdJoMKYcBBE/kw9Kd1Q0jiqpA5Bwdi36GJP0Kn9FmYcuCw14IMPPsC1116LNWvWYMeOHZg6dSrOOeccXHnllQgEin/RIAQabB9CeIg7NpT2YEgNYViQBr/x0shQMKFKGNVPfQkZgGUaUCU0I1FhFBTEfkGSeQ8XHxuZ5etFr5/i1ERQvf3221BK4Wc/+xkOOuggvPnmm7jwwgsRj8dx0003lXzc7D2qrrQF2+QAT6JaYQiBgFF8ExTVppoIqk996lP41Kc+lft99uzZWL9+Pe64445hBRWQCauUa0Cp4lOeiCpDSgHLNCpdDBolNRFU/YlGoxg3btyg26TTaaTTPfecYrFYn21cX8JTAqZkEwJRrZBCwJISQrB/Sj2oyWvnd999F7fddhsuuuiiQbdbuXIlmpubcz/Tp0/P+7vrS3QmbZhSs+mPRpzgRXvZSCEAkVkVmsa+itbysmXLIIQY9Oftt9/O22fr1q341Kc+hbPOOgsXXnjhoMdfvnw5otFo7mfz5s25v/UOqUbb4YcIUQ2RMnPCsvmvPlS06e+KK67A+eefP+g2s2fPzv3/tm3bcOqpp+L444/Hz3/+8yGPb9s2bNvu87jj+UgnLBjSRWMgDl8bUL6JdKIdKZ/jqGhkBHUagWFMzEk9dDqOlCcRVB4gvEoXZ0yS8KH3G6cWQmxfD74iiQgyi3t4MHqNnRK1MI6qra0NbW1tBW27detWnHrqqZg3bx5WrVoFKUu/GIw7ETRFFJqCSUghoXwBISQM04Zh8oOERoYPwNPsnl4O0gjBMCUM5cF1OPZxJBjwsH9Xck9b+8ZCFcfVVmaBWsi82S70WFrhd+vWrTjllFMwY8YM3HTTTWhvb8/9bfLkyUUfzzSAlrALKTLzswktIbQBM9AEyw6WrdxEvblCwuU4qrKwgk2wDAlfenDi3ZUuzphkwoFAfgc0F6GSBvy6CO4Lqf3XBx5DQbV69Wq8++67ePfddzFt2rS8v+kSuvw0BFKQom+TIBHVhn23qBDgPaq6UBNdZs4//3xorfv9KQU7ThDVNrnvJJZCwGTPvzGPNUxENUWIzMKWWQGTH2NjHWuYiGpKtmt6Fpv/asNwuqkxqIiopkjBoKpFvjJKnkWkJjpTlJ32oVTP8gBaSWgFeE4MrkgNsiNR6SydzKzxQ8NiQcJN97yOplIIIFnBEo1NRj8LJ1pIQqL4pVXcfcdJeUE0yq5e/QTGUK+/cst0xOh5gTQEtFbwvTR8g294GhkG0hAc8DtsJiT8XmN8hdawBFfmLjcJv8/CiSbcPh3MC2EJC5ZwkVI24m4EDVYmrESBDYJ1GVRCmjCMnu7pChLSMGCH2xAM8g1PI2NnMgaXA36HrTkQQDASzntsVyoG1+NrW04mHIT3u1JN6qaSxlEldBBaSATNFFJ+CF1uM8JWouD7VrxHRUQ1JRTo+/2a96lqgyEVIlZm2rqEGy74nhWDiohqStBiUNWy3mHV7UQK2odBRUQ1wzRkvwN8bY6lqimGVDBl4ZMJs3aJqGYEA/1fOdn9XGVR9Up7Abi+BdOogdnTiYiKEQlY/T5uGRJSCijFXpXVLu0FkPKCCJopmKqw4UD1GVT7d0/XgNYS2nehfPb6o5EhtFdS117KEAIImXrAczRoKKQUV+ouF9nPOCoJD7KEhjgJH4CG41tw/ACCZgq2mYZX4MdtXQaV1h6U32tNFGVAKyCd7EBaceFEGhkhOFAcR1Uy05BwUwOPcwwJD4ZgUJWLgOozjiqIbugSgkoLF1oDrhdA2IojZGaupGQtLJxYKUKYkEbPWAABCaFN2KEJsINchI1GRnuqmwsnDsOEUAh2sP+mPwBw0y7iDgfsl4sJB0HkN82ldENJ46iSOgRPW7BMB5bpw0OmHhUKW8qiLoMKIrOib8+vEkIICMOCNPiNl0aGFiYUm/5KIqVAYzicN2v6/oIBA6qE6X2ofwoKYr8gUTChSogNBQNSKAQMF/uvGlwI9vojoqrXHAoMGlJAZiyV5Cda1TJE6V/SWK1EVNWEAJrDha3IzW7qYxODioiqWmMoUPAqvkHOUDEm1WVQeaounzZRzRECaI0EC94+2M88gFT76vITuzttw/Xr8qkT1ZTmsA2rwKspAAhavKIai+ry64eEh72JEJrsOCzDh1IGlG8inWhHyuc4KhoZQZ1GgOOoCiYkEBE2UvHOovZrNNKcoaIMJHzo/TpAhBCDQglfBkQEEj4kPBi9xk4JjqMaWIOdgpY2Yk4Dmu04BDJd1A3ThmHyDU4jwwc4jqoIrUEbZgmdI6QpkU4XPuEp9c+Ah/27knvagl9CbLjayixQC5k324XmCr8Dk9JAY9hFNGkglm5Ag+1ASAkz0ATLLrw9nKgYrpBwOY6qIBHbRGNjQ0n72spBNM2WkeEy4UAglveYi1BJA35dBPeF1P6TiBV2PtTtjRopgOZQCqbUiKUC8FXxg9CIqPwMQ2Bic3joDQfQ38KKVNvqNqiAnrAypGbnCqIqMakpDGMYI3ctQ8IoogMGVT/WJhFVjXENQYTtgefzK1SYV1VjSl0HldJANBmErwQsg/cOiCopErQwrqE894jZ/De21G1tZkPKUwJNQQdK13VmE1WUbRmYNIz7UvvjFdXYUpe1qZSPzoQFTwPNdjcEAF9Z8JwYXFHYipNExbJ0MrPGD+UxDYnx4SB8J1rgqJrCRMwkXI+vd6mMfhZOtJCELGGGehcaAgoCar81qNg9fUDd6SDsoEST3Q1T+vCUAa0VfC8N3+B6NjQyDKQhOOA3j5QCjcEAtErBL3OmBKULcCHFkkn4fRZONOGWtEq1JSyIXmGVJVDY+VCXQaVgojXswjJMACYUJKRhwA63IRjkUvQ0MnYmY3A54DfHNCQOGNdQ1BRJxdCWh917ukfk2PXAhIMw8r+4J3VTSeOoEjoIBQMKJvxeXSMK/dpWlzdmGuw0O08QVZBlSkwbwZACgJBlQEqOjxwL6jKoTMmQIqoU2zIwbVxDwUt3lEwIRMrQ1Z0qr+aCKp1O4+ijj4YQAq+//nqli0NERQjbJg4Y1zCsAb3FaAwyqMaCmguq73znO5g6dWqli0FERWqO2JjaEoEcYkn5cgoFTDb/jQE1FVR/+MMf8Pjjj+Omm26qdFGIqEBCABObw2hrDGV+GdV/W/Cqqkr4wxirWjO9/nbu3IkLL7wQDz74IMLhwgYGptNppNPp3O+x2L6ZgLWG7tX7SmtAawntu1A+e/3RyBDaK6lrby0zDYmJTUEETFTs3Gqwga4El/0oluxnHJWEB1nC9Y2ED6UlHN9CSBY/VrUmgkprjfPPPx9f//rXMX/+fHzwwQcF7bdy5UpcffXV/RzPg/J7rYmiDGgFpJMdSCsuD0AjIwQHqo7GUZmmRChgQjtxpCv8/a/RcKFUfX1JGC4B1WccVRDd0CUElRYuTOHC8WyYwkXIzISVrIWFE5ctW4brr79+0G3WrVuHxx9/HF1dXVi+fHlRx1++fDkuv/zy3O+xWAzTp0+HECak0TMWQEBCaBN2aALsYLq/QxENW3uquy4WTpQSGBcJoaGKmtxc6aCji7POFMOEgyDyX7OUbihpHFVShyAEYJkOEl4ECiZsMw2FwpqCKxpUV1xxBc4///xBt5k9ezbWrFmDF154AbZt5/1t/vz5OPvss/GrX/2q331t2+6zDwBACAghe/0qIYSAMCxIo36+8dLo0sKEGuNNf6GAiUnN4ZHvel6kxrCF3Qkfvs/zu1AKCmK/IFEwoUqIjczy9QIBw4UUGikvO/lwYU2yFQ2qtrY2tLW1DbndT37yE/zwhz/M/b5t2zacfvrpuP/++7FgwYKRLCIRFUAIYEJjCM3hfr4YVgEhBFrCNnbzqqribDPTDpzygnC9Gmj6K9SBBx6Y93tDQ2aJ6jlz5mDatGmVKBIR7RMJmmhrrL6rqP01h210JtK8qqoCtunA1waSvlHQ9tX9ziKiqmUaElNaI5jSMgqzTJSBFALjy7TeFQ2PryQ8Vfh1Uk1cUe1v5syZ0JrfiogqQQigNRJEa8SGGOVxUcPVFLIRSzpIOZxVvVJ8JRF3IzCEj4ZAvKB9qv9rEBFVjcZQADMmNGFcQ7DmQiprUnOEs1VUSO+QCluJgsd/1+QV1XBp5cHv9YVKKQPKN5FOtCPlcxwVjYygTiNQo+OoTEMiHDBhGEl4qWiBfbWqV1tQoTvlFL7ORB2S8KFFfi/VEGL7evAVSUQgtELKD8KULhqsLggBiFoYR1UpYv/u6cj8bpg2DJPvXBoZPlBz46gsU6IxaMO2xlbji2ECQobQmUhBKZ7z/THgAft1T/e0Bb+E2HC1BVdbkEIhYsUBIaEBaK7wOwhhQMqewYhCSwhtwAw0wbJ5s5VGhisk3BoZR2VbBsY1BMf0MhmWDQRDCru7U+hOOeBt73wmHAjE8h5zESppwK+LzOdq0ExBC6PXhSyDioiKVA8B1ZtpSEzaN2FuyvXgKcXA2kcoCdvJb+YbFwhCy+LHynWlbdimRsA0YPa6P5g22PRHVFWClgnXq85Jj0MBE60RG+E6Caj9SSnq9rkPyNeAym/yDYQCgFHCoG4ZgGkImFLC6pV9RoGdWhhURKNkXEOw6pqYIkELrREbQYsfBVS96vLdWU0fFFQ/LENmZkeIV3biYyGAplAALZEgrBoYqEtUl0HV7QTRpDU4lIJGW+aqyoXnj36nCtOQaAnbaAoFOI6IakpdBpXnA50JC03BBKQAtJLQCvCcGFzBSStpZLWFFXZ3JUft37MtAxHbgm0CEEn4brLA0StU15SLvAGnAOB0ASUsfOg5QWjlQwsXqvfYLM3OFAOKBOLwVCuiqRCa7Tg0BLRW8L00fGP0PkCoPhkAmmyFpDNyw2aFBGzDgG2ZkFIDcPp85hANSnnA/uP+vBQgi3/f+l7mM1Zj/9XVC7sPU5dBFTANhEMuOpM2upxmRAIOpGHADrchGKzOXlk0tgQjgBtLIJoo7/stZJtoDgUQsa2aneKIqoSfAuL7zcUXbgOM4seapo0ApGFBSgnD6AkqUeAt0roMKgCwDIWWUDoTVukAbJNfN2l0tTWFIYXA3mF2rjANiaZQAE2hQE3MYk5UrLoNKqAnrPYkbMArYf4qomEa3xhCMGBiVywJv4gOFkIADcFMOIUCdX0aUx2o+3e4ZSiYkv3VqXIitoWZE0zEkg5iSQdpd+Cr+7BtoikUQNi2INm0R3Wi7oMq7lhwlWTTH1WUEALNYRvNYRtKazieD89XyMyXqiEgELZNGJJNe1R/6jqo4o6FuGMhbHkweFVFVUIKkZkpgjP6EAGo16DSGt1pA3HHRCSQRsDw4fgmtO9C+ez1R0QE3+07jY/vopT1drUvoHWma3rv7umFThNUl0GVdCSENhG2EggZKXjKgFZAOtmBtOLCiURE0D7g7TdmKrUbEMV3PEunw9BqJrRwoHoNN9cc8DuwpB9EW4OHSEADsCGQCS47NAF2sLLzsBERVQU/Dej9JkAIji9p9nRb2hDShJCA7D2OShTWglWXQRW2XDTYBrKXsELIzKq/hgVp8F4VERGgMuMgejMswCh+4URhWLmV1fMOWWDP1brsQhS0Rm7qGiIiKq+6DCoiIqodDCoiIqpqdXmPioiIhmAEgaa5ZTuc0qXPpMIrKiIiGnGuL+Gp0sKqLq+otPLy1uZRyoDyTaQT7Uj5HEdFRFRO6XQY0DMQTVoQOg3LyHwAa1VYx7a6DKpsN8nc78j8bpg2DJPd04mIysnwbViGgtIKMacBzXYclqEKXjOtLoMKwoCUPROpCS0htAEz0ATLLn5RMCIiGpipA5DSQFPQQ9wJIJZuQEsoDYjClrbhPSoiIhoVQgDNoRRMqdGZtOGqwiKIQUVERKNG7gsrQ2p0pQqbjolBRUREVY1BRUREo0ZpIJoMwlcCjQVOAl5TQfXII49gwYIFCIVCaG1txeLFiytdJCIiKpDeF1KeEmgJpWHJwjpT1Eyvv3//93/HhRdeiOuuuw6f+MQn4Hke3nzzzdIOpn0o5fb8qiS0AjwnBlekylRiIiICAM8JQikfMceEAtBsd8MQKrPmVQFqIqg8z8Nll12GG2+8ERdccEHu8Y9+9KMlHS+70mTudwhoreB7afhGcpA9iYioWL4n9s1MIdES7IYpfWid+SwuRE0E1auvvoqtW7dCSoljjjkGO3bswNFHH40bb7wRhx9++ID7pdNppNM9baCxWAwAIKQJo9fiXwoS0jBgh9sQDHIpeiKickobAUCYaA65CFomstEjCrz5VBP3qN5//30AwA9+8AN873vfw8MPP4zW1laccsop2LNnz4D7rVy5Es3Nzbmf6dOnj1aRiYioF8tQMGVpM/9UNKiWLVu2bzqjgX/efvttKJVpprvyyivx2c9+FvPmzcOqVasghMADDzww4PGXL1+OaDSa+9m8efNoPTUiIupFitKnp6to098VV1yB888/f9BtZs+eje3btwPIvydl2zZmz56NDz/8cMB9bduGbRc2oIyIiKpTRYOqra0NbW1tQ243b9482LaN9evX4+Mf/zgAwHVdfPDBB5gxY8ZIF5OIiCqoJjpTNDU14etf/zpWrFiB6dOnY8aMGbjxxhsBAGeddVbRx0u5JprLXUgiIhoRNRFUAHDjjTfCNE2ce+65SCaTWLBgAdasWYPW1taij5VwLXSnBSKBzFiqTDdJCe27UD57/RERlZP2RW5YUO+hQRhL3dMBwLIs3HTTTbjpppuGfayQkUI83QitPIStFLQyoBWQTnYgrbhwIhFROaXTYWg1E1o4UOgZ5KvH0oDfcgsFFIyAh7gThpAmAoYPoU3YoQmwC5x7ioiICmNLG0KaEBKQRs8VlRCFtWDVZVBBCDTYPoTwEHdsKO3BkBrCsCANrvBLRFROwrByK6vnLerLFX6Hlr1H1ZW2YJuFXYISEdHoqomZKUZSJODCkgpKFZbsREQ0uuo+qDITJTKkiIiqVV0HletLdCZtmFKz6Y+IqErVbVD1DqlG2yn0nh4REY2yuuxM4Xg+0gkLhnTRGIjD1waUbyKdaEfK5zgqIqJySqfDUP4BUMKD33sclfIK2r8ugyruRNAUUWgKJiGFhPIz3SYN04Zhsns6EVE5Gb6d6ZqOzGdtlmD39IGZBtASdiGFBQAQWkJoA2agCZYdrHDpiIjGFlMHIKSRGfAre02hJNTAO/VSl/eoGgIpSN6TIiKqCXUZVOw4QURUO+oyqIiIqHYwqIiIaMQVuKJHvxhUREQ04lxflhxWddnrD9qHUm7Pr0pCK8BzYnBFqoIFIyIaezwnCKU1YikTLaF4T2c2rkc1sOxKk7nfIaC1gu+l4RvJCpaMiGjs8T0BS7pIuDaiqRCa7TiEyHwWF6Iug0pIE4Zh535XkJCGATvchmCQS9ETEZVT2gjAMEw0my660wF0Oc1oDqUgCrz5xHtUREQ0Kkyp0RJKw1MC0WSw4HtWDCoiIho1lqFyYbU3GSpoHwYVERGNKstQsIzCpk8CGFRERDTK4o4FxzcQKDCs6rIzBRERVUbcsRB3LEQCLjykC9qnPoNq/+7pGtBaQvsulM9ef0RE5aR9Aa01Eo5EyjMRCaQRtlzE0uyePiCtPSi/5wXSyoBWQDrZgbTiwolEROWUTofherOR8gJoCCQQMlJQPqA54HdgQpiQRqDnd0gIbcIOTYAdLOxSlIiICmNLGwoBhAMeGoIaQGYcqxCFtWDVZVBB7L/KpIQQAsKwIA2u8EtEVE7CsGBKhXBA5X32FrrmEnv9ERHRiDOHcRHAoCIioqrGoCIioqpWl0Hlqbp82kRENakuP7G70zZcvy6fOhFRzanLXn8SHvYmQmiy47AMH0oZUL6JdKIdKZ/jqIiIyimdDkP5B0AJDz56xk5p5RW0f80E1TvvvINvf/vbeO655+A4Do488khce+21OPXUU4s+VoOdgpY2Yk5DZgEvZLqoG6YNw2T3dCKicjJ8OzMMCPsPDSqse3rNBNUZZ5yBgw8+GGvWrEEoFMKtt96KM844A++99x4mT55c1LGkNNAYdhFNGoilG9BgOxBSwgw0wbKDI/QMiIjqk6kDENKAkICUvSaiFYVNSlsTN2o6OjqwYcMGLFu2DEceeSQOPvhg/PjHP0YikcCbb75Z0jGlAJpDKZhSI5YKwFeFJTsREY2umgiq8ePH45BDDsH/+3//D/F4HJ7n4Wc/+xkmTpyIefPmDbhfOp1GLBbL++ktG1aG1OxcQURUpWqi6U8IgSeeeAKLFy9GY2MjpJSYOHEiHn30UbS2tg6438qVK3H11VePYkmJiKjcKnoZsWzZsswce4P8vP3229BaY8mSJZg4cSKeeeYZvPTSS1i8eDE+/elPY/v27QMef/ny5YhGo7mfzZs35/1daSCaDMJXoqjVJomIaPRU9IrqiiuuwPnnnz/oNrNnz8aaNWvw8MMPY+/evWhqagIA3H777Vi9ejV+9atfYdmyZf3ua9s2bNvu87inJBxPoisdgKcEwgEXWkt0pa1hPyciIsrXlbbgKwFPCPS+Pip08oWKBlVbWxva2tqG3C6RyIxtkjL/SUkpoVTxV0J7EyHE/RA0AEMoxFI2tBZ49r0pkELDVQa0FrCkDylGrru6pyV8JWFIBXO/3i+D/a2clBZwlQEhNCzpQxT4t3LSwICv+WB/KzfWRwbrowfro8dw6sPXAl3pAITQea9TMlUDQVWoj33sY2htbcV5552Hq666CqFQCL/4xS+wceNGLFq0qOjj+VpCAzCFByk1oAUUBEzhwjQULAl0OSEkXAsNgcSINAsm3QCSnomQ6SBk9l2Txcpu4wYy21jlX3nY9SUSbhiG9NFoJfudcV/6Et1OGL4EGgP9bzMcWmdea18ZA77WrI8erI99ZQDrI6sW6kP4EgI2JDTQK0wFxtAKvxMmTMCjjz6KK6+8Ep/4xCfgui4OO+wwPPTQQzjqqKNKOGLmnpQpBQABpQWEFghYZq6SA1ZmnFXSi8C20mWt/LhjwVEWmoIuIgGFgarBthQsx0fcCcLSBiIBt2xlcH2JZNqGbWo0h1xIMVAZANty0Jm0kfQa0BxKQZbpZMzeIwQExkfSsAyJgW6bsj6yZWB9ZLE+elR7fUgpIRwJIXTeVV+hL1VNBBUAzJ8/H4899lhZjmUKH6Y0Bt0m23U9mgyiM2mjJVSeyo87FuKOhUjALejEym4Td6y834fD9SU6kzZMqQs6sSxDoSWURmfSRjQZLMvJmD0JPSUKem1ZHz1YHz1YHxljuT6AGhlHVW6FtuP2HhTcmRz+RLbFVnpWdvvs/sNR7EmYlT0ZPSUQTQahhtEUXuxJmMX66MH66MH6yBiL9ZFVl0FVjHJVfqmVnlWOyi/1JMwqx8lY6kmYxfrowfrowfrIGEv10RuDqgDDrfzhVnrWcCp/uCdh1nBOxuGehFmsjx6sjx6sj4xqrI+kO7y7TAyqApVa+eWq9KxSTsZynYRZpZyM5ToJs1gfPVgfPVgfGdVWHwnXGtZ8qjXTmaLctO717tH7fqCg9cBvEAGgKZhANBVCZ9JGczA56BsqU+kmIoE0wpYLPYx2697CVhpaK3SnA9BaDfqGcn2JaMqGIRWagkkIoCzlMKVCc1DlvRYDneBKA9FUCL4SaA4mYUpVljKwPnqwPnqwPjKqqT58Bez1QnB9gUAJIVynQaWAvEDKjJZWvgOl/YF2ymmy0oimG9CZDKDJ7oYl++6TcINIuCbCVgIhIwU19GGLEjLS0GYQ8XQQWnkIW6k+27gqs4yJIRw0Wd2AAso5wsIA0BhwEEs3oDNhodnu7jOORGsgmm6ArzWa7CgM+GV/LVgfGayPHqyPHtVQH7b0IGFDaQnX17BkdsHEwl7xOg0qCfRavAs6M55KGoH8tVIG0WK4iKZMdDnNfb6pxB0LCS+AiO0gEtAA+k7jVA4NhoaQHuJOGEKaed8cXV+iywnBNBSagy6kGJky2AbQIh1EUyHE3Ja8b45KA7FUCAoSLaEkLMPESL3lWB8ZrI8erI8ela4PKSQMqQGt4GsDUAKW4aPQu091GlT5K0tmJvXIXFUVOrLcEEBLKI1oMohoKpRrV447VmaEuO0iEii8IkrVYPsQwkPcyaygGQm4ueaMTJt7GlKMbBkCJnLjSGKpMJpDmW+vsVRmwt/MawOM5GvB+ujB+ujB+siofH1IQAhYUsPzNXwtAV8AKGxGkboNqnLYf5CdZSg4vlG2G5GF6j3IzvUlXF+W7cZwoXoPeuxMZlZJ9st0Y7hQrI8erI8erI+MaqmPgOnD8Qz4WsBRg0+8kFVXQZXtQJFM56e4hsjMqSXSMEqY4FLoNLqTIQBAwEjDQxrR8k89NoQ03LSN+L7ePa2hJLrio10GQKg0oolM00FjMI1EcvSXT2F99GB9ZLE+cmWoQH34WiKZyLRYZef3c5SB9L7PYj1Ezw2hh9piDNmyZQumT59e6WIQEVEvmzdvxrRp0wb8e10FlVIK27Ztg9YaBx54IDZv3pxb32qsiMVimD59Op9bjeFzqz1j9XkBo/fctNbo6urC1KlT+yzj1FtdNf1JKTFt2jTEYjEAQFNT05h7g2XxudUmPrfaM1afFzA6z625uXnIbTgzBRERVTUGFRERVbW6DCrbtrFixQrY9sgM8qskPrfaxOdWe8bq8wKq77nVVWcKIiKqPXV5RUVERLWDQUVERFWNQUVERFWtLoLqgw8+wAUXXIBZs2YhFAphzpw5WLFiBRxn8HlDTjnlFAgh8n6+/vWvj1KpB/bTn/4UM2fORDAYxIIFC/DSSy8Nuv0DDzyAuXPnIhgM4ogjjsB///d/j1JJC7dy5Uoce+yxaGxsxMSJE7F48WKsX79+0H3uuuuuPvUTDAZHqcSF+8EPftCnnHPnzh10n1qoMwCYOXNmn+cmhMCSJUv63b6a6+yPf/wjPv3pT2Pq1KkQQuDBBx/M+7vWGldddRWmTJmCUCiEhQsXYsOGDUMet9jzdSQM9txc18V3v/tdHHHEEYhEIpg6dSq+/OUvY9u2bYMes5T3danqIqjefvttKKXws5/9DG+99RZuueUW3Hnnnfinf/qnIfe98MILsX379tzPDTfcMAolHtj999+Pyy+/HCtWrMCrr76Ko446Cqeffjp27drV7/bPP/88vvjFL+KCCy7Aa6+9hsWLF2Px4sV48803R7nkg3v66aexZMkS/OlPf8L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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# define simulation\n", "sim = td.Simulation(\n", " center=(L_tot / 2 + lda0 / 2, 0, t_wg / 2),\n", " size=sim_size,\n", " grid_spec=td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lda0),\n", " structures=[semi_lens, sub],\n", " sources=[mode_source],\n", " monitors=[field_monitor, flux_monitor, mode_monitor],\n", " run_time=run_time,\n", " boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n", " symmetry=(0, -1, 0),\n", ")\n", "\n", "# visualize the simulation setup\n", "sim.plot(z=t_wg / 2)" ] }, { "cell_type": "markdown", "id": "537857f5", "metadata": {}, "source": [ "Submit the simulation to the server." ] }, { "cell_type": "code", "execution_count": 23, "id": "4e4f954a", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:55:49.143796Z", "iopub.status.busy": "2023-02-03T04:55:49.143697Z", "iopub.status.idle": "2023-02-03T04:58:07.402810Z", "shell.execute_reply": "2023-02-03T04:58:07.402372Z" } }, "outputs": [ { "data": { "text/html": [ "
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       "Output()"
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     "output_type": "display_data"
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       "
\n" ], "text/plain": [ "\n", "\u001b[?25h" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "job = web.Job(simulation=sim, task_name=\"semi_lens_beam_expander\")\n", "sim_data = job.run(path=\"data/simulation_data.hdf5\")" ] }, { "cell_type": "markdown", "id": "a900c63a", "metadata": {}, "source": [ "Plot the field distribution." ] }, { "cell_type": "code", "execution_count": 24, "id": "f260899d", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:58:08.748582Z", "iopub.status.busy": "2023-02-03T04:58:08.748506Z", "iopub.status.idle": "2023-02-03T04:58:09.618062Z", "shell.execute_reply": "2023-02-03T04:58:09.617758Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "sim_data.plot_field(\"field\", \"Ey\", vmin=-30, vmax=30)" ] }, { "cell_type": "markdown", "id": "5b902449", "metadata": {}, "source": [ "Lastly, plot the insertion loss and the mode composition at the output waveguide. The insertion loss is about -0.5 dB, much better than the linear taper of the same length.\n", "\n", "Due to the symmetry, the output power can only excite even TE modes. About 80% of the power is in the fundamental TE mode. The rest of the power is mostly in the TE2 mode." ] }, { "cell_type": "code", "execution_count": 25, "id": "7a7065f2", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:58:09.619591Z", "iopub.status.busy": "2023-02-03T04:58:09.619491Z", "iopub.status.idle": "2023-02-03T04:58:09.794438Z", "shell.execute_reply": "2023-02-03T04:58:09.794196Z" } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 1, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "f, (ax1, ax2) = plt.subplots(1, 2, tight_layout=True, figsize=(10, 5))\n", "T = sim_data[\"flux\"].flux\n", "\n", "plt.sca(ax1)\n", "plt.plot(ldas, 10 * np.log10(T))\n", "plt.xlim(1.5, 1.6)\n", "plt.ylim(-4, 0)\n", "plt.xlabel(\"Wavelength ($\\mu m$)\")\n", "plt.ylabel(\"Insertion loss (dB)\")\n", "\n", "plt.sca(ax2)\n", "mode_amp = sim_data[\"mode\"].amps.sel(direction=\"+\")\n", "mode_power = np.abs(mode_amp) ** 2 / T\n", "plt.plot(ldas, mode_power)\n", "plt.xlim(1.5, 1.6)\n", "plt.xlabel(\"Wavelength (nm)\")\n", "plt.ylabel(\"Power share at Port1 (%)\")\n", "plt.legend([\"TE0\", \"TE2\", \"TE4\", \"TE6\", \"TE8\"])" ] }, { "cell_type": "code", "execution_count": null, "id": "fd077846", "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": "3.10.9" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": { "0476bbaca0aa4ce5ad70f7bf7b192600": { "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_7dd315ef7a074bc9a5eccc9fc37253cd", "msg_id": "", "outputs": [ { "data": { "text/html": "
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🏃  Finishing 'semi_lens_beam_expander'...\n🏃  Finishing 'semi_lens_beam_expander'...
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🚶  Starting 'semi_lens_beam_expander'...\n🚶  Starting 'semi_lens_beam_expander'...
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L_t=10: status = success  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:00\nL_t=20: status = success  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:00\nL_t=50: status = success  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:00\nL_t=100: status = running ━━━━━━━━━━━━━━━━━━━━━━╸━━━━━━━━━━━━━━━━━  57% -:--:--\nL_t=10: status = success  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:00\nL_t=20: status = success  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:00\nL_t=50: status = success  ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 100% 0:00:00\nL_t=100: status = running ━━━━━━━━━━━━━━━━━━━━━━╸━━━━━━━━━━━━━━━━━  57% -:--:--
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 monitor_data.hdf5 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╸━━━━━━ 84.8%6.8/8.0 MB6.9 MB/s0:00:01\n monitor_data.hdf5 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╸━━━━━━ 84.8%6.8/8.0 MB6.9 MB/s0:00:01
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 monitor_data.hdf5 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╸ 96.4%13.4/13.9 MB5.3 MB/s0:00:01\n monitor_data.hdf5 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╸ 96.4%13.4/13.9 MB5.3 MB/s0:00:01
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 simulation.json ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 0.0%0.0/6.2 kB?-:--:--\n simulation.json ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 0.0%0.0/6.2 kB?-:--:--
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 simulation.json ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 100.0%41.3/41.3 kB?0:00:00\n simulation.json ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━ 100.0%41.3/41.3 kB?0:00:00
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% done (field decay = 1.96e-03) ━━━━━━━━━╸━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  24% -:--:--\n% done (field decay = 1.96e-03) ━━━━━━━━━╸━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━  24% -:--:--
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🏃  Starting 'luneburg_lens_taper'...\n🏃  Starting 'luneburg_lens_taper'...
\n", "text/plain": "\r\u001b[2K\u001b[32m🏃 \u001b[0m \u001b[1;32mStarting 'luneburg_lens_taper'...\u001b[0m\n\u001b[32m🏃 \u001b[0m \u001b[1;32mStarting 'luneburg_lens_taper'...\u001b[0m" }, "metadata": {}, "output_type": "display_data" } ], "tabbable": null, "tooltip": null } }, "cd2702af1ab547088f1eb687a1ec3de2": { "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_5f000cd2d6b1419f9f6193e7f45ddb40", "msg_id": "", "outputs": [ { "data": { "text/html": "
% done (field decay = 8.10e-06) ━━━━━━━━━━━━━━━━━╸━━━━━━━━━━━━━━━━━━━━━━  44% 0:01:42\n% done (field decay = 8.10e-06) ━━━━━━━━━━━━━━━━━╸━━━━━━━━━━━━━━━━━━━━━━  44% 0:01:42
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 monitor_data.hdf5 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╺━ 96.2%10.2/10.6 MB8.4 MB/s0:00:01\n monitor_data.hdf5 ━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━╺━ 96.2%10.2/10.6 MB8.4 MB/s0:00:01
\n", "text/plain": "\r\u001b[2K\u001b[1;32m↓\u001b[0m \u001b[1;34mmonitor_data.hdf5\u001b[0m \u001b[38;2;249;38;114m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[38;5;237m╺\u001b[0m\u001b[38;5;237m━\u001b[0m \u001b[35m96.2%\u001b[0m • \u001b[32m10.2/10.6 MB\u001b[0m • \u001b[31m8.4 MB/s\u001b[0m • \u001b[36m0:00:01\u001b[0m\n\u001b[1;32m↓\u001b[0m \u001b[1;34mmonitor_data.hdf5\u001b[0m \u001b[38;2;249;38;114m━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━\u001b[0m\u001b[38;5;237m╺\u001b[0m\u001b[38;5;237m━\u001b[0m \u001b[35m96.2%\u001b[0m • \u001b[32m10.2/10.6 MB\u001b[0m • \u001b[31m8.4 MB/s\u001b[0m • \u001b[36m0:00:01\u001b[0m" }, "metadata": {}, "output_type": "display_data" } ], "tabbable": null, "tooltip": null } } }, "version_major": 2, "version_minor": 0 } } }, "nbformat": 4, "nbformat_minor": 5 }