diff --git a/TFLNTidy3d.ipynb b/TFLNTidy3d.ipynb new file mode 100644 index 00000000..527452c2 --- /dev/null +++ b/TFLNTidy3d.ipynb @@ -0,0 +1 @@ +{"cells": [{"cell_type": "markdown", "id": "986c97ec", "metadata": {}, "source": ["# Thin film Lithium Niobate Electro-Optic Modulator using Tidy3D\n", "\n", "In this example, we will simulate a thin-film lithium niobate electro-optic modulator based on the Pockels effect. The device is based on the work of `*Ying Li et al.*, \u201cHigh-Performance Mach\u2013Zehnder Modulator Based on Thin-Film Lithium Niobate with Low Voltage-Length Product,\u201d *ACS Omega* 2023, 8 (10), 9644\u20139651.` DOI: [10.1021/acsomega.3c00310](https://pubs.acs.org/doi/10.1021/acsomega.3c00310).\n", "\n", "We start by calculating the propagating modes of the TFLN waveguide and the coplanar (CPW) transmission line using [mode simulation](https://www.flexcompute.com/tidy3d/examples/notebooks/ModeSolver/).\n", "\n", "Finally, we calculate the electro-optic overlap and predict the V\u03c0\u00b7L figure of merit.\n", "\n", "You can check [here](https://docs.flexcompute.com/projects/photonforge/en/latest/examples/EO-MZM.html) the same model, along with the full chip layout integrated with a foundry PDK, using [Photonforge](https://www.flexcompute.com/photonforge/), our photonic design automation tool.\n", "\n", "\"Schematic"]}, {"cell_type": "markdown", "id": "6fbeeff2", "metadata": {}, "source": ["### Workflow Overview\n", "\n", "[1.](#1) Define the thin-film lithium niobate waveguide geometry and solve for the optical TE mode using the [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html).\n", "\n", "[2.](#2) Build the CPW transmission line in the same cross-section and compute the RF mode and its overlap with the optical waveguide.\n", "\n", "[3.](#3) Normalize the RF field to 1 V across the electrodes, evaluate the electro-optic overlap, and estimate V\u03c0\u00b7L."]}, {"cell_type": "code", "execution_count": 1, "id": "7cc91408", "metadata": {}, "outputs": [], "source": ["# Core simulation and plotting libraries\n", "import numpy as np\n", "import tidy3d as td\n", "\n", "# RF utilities for impedance and port definitions\n", "import tidy3d.plugins.microwave as mw\n", "import tidy3d.plugins.smatrix as sm\n", "from matplotlib import pyplot as plt\n", "from tidy3d import web\n", "from tidy3d.plugins.mode import ModeSolver\n", "\n", "# Suppress verbose logs to keep the notebook output clear\n", "td.config.logging_level = \"ERROR\""]}, {"cell_type": "markdown", "id": "49b37a57", "metadata": {}, "source": ["## Optical Waveguide Geometry "]}, {"cell_type": "code", "execution_count": 2, "id": "a43b5172", "metadata": {}, "outputs": [], "source": ["# Simulation parameters\n", "eff_inf = 1e3 # Large extent to emulate semi-infinite regions\n", "\n", "opt_wavelength = 1.55\n", "freq_opt = td.C_0 / opt_wavelength\n", "\n", "# Optical materials: SiO2 cladding and TFLN core\n", "SiO2 = td.material_library[\"SiO2\"][\"Palik_Lossless\"]\n", "LiNbO3 = td.material_library[\"LiNbO3\"][\"Zelmon1997\"](1)\n", "\n", "# Ridge geometry parameters from the reference design\n", "sidewall_angle = 17\n", "core_width = 1.1 # w0\n", "slab_thickness = 0.22 # h3\n", "h3 = slab_thickness\n", "core_thickness = 0.4 - slab_thickness\n", "plane_size = 8\n", "plane_limits = (-1.5, 1.9)\n", "plane_height = 3.4\n", "\n", "\n", "# Define waveguide structures\n", "ridge = td.Structure(\n", " name=\"ridge\",\n", " geometry=td.Box(\n", " center=(0.0, 0.0, -slab_thickness / 2), size=(eff_inf, eff_inf, slab_thickness)\n", " ),\n", " medium=LiNbO3,\n", ")\n", "\n", "core = td.Structure(\n", " geometry=td.PolySlab(\n", " sidewall_angle=sidewall_angle * np.pi / 180,\n", " reference_plane=\"top\",\n", " slab_bounds=[0, core_thickness],\n", " vertices=[\n", " [-eff_inf, -core_width / 2],\n", " [eff_inf, -core_width / 2],\n", " [eff_inf, core_width / 2],\n", " [-eff_inf, core_width / 2],\n", " ],\n", " ),\n", " name=\"core\",\n", " medium=LiNbO3,\n", ")\n", "\n", "# Grid specification\n", "grid_spec = td.GridSpec.auto(min_steps_per_wvl=20, wavelength=opt_wavelength)\n", "\n", "# Create optical simulation\n", "sim_opt = td.Simulation(\n", " size=(10.0, plane_size, plane_height),\n", " run_time=1e-12,\n", " medium=SiO2,\n", " structures=[ridge, core],\n", " grid_spec=grid_spec,\n", ")"]}, {"cell_type": "markdown", "id": "e8801650", "metadata": {}, "source": ["### Creating the [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) object and running the mode simulation"]}, {"cell_type": "code", "execution_count": 3, "id": "5edff819", "metadata": {}, "outputs": [{"data": {"image/png": 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", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["## Creating the ModeSolver\n", "\n", "mode_spec = td.ModeSpec(num_modes=5, group_index_step=True)\n", "\n", "plane_size = (0, sim_opt.bounding_box.size[1], sim_opt.bounding_box.size[2])\n", "plane = sim_opt.bounding_box.updated_copy(size=plane_size)\n", "\n", "mode_solver_opt = ModeSolver(simulation=sim_opt, freqs=[freq_opt], mode_spec=mode_spec, plane=plane)\n", "\n", "_ = mode_solver_opt.plot()\n", "\n", "plt.show()"]}, {"cell_type": "code", "execution_count": 4, "id": "a454c0e0", "metadata": {}, "outputs": [{"data": {"text/html": ["
15:11:49 -03 Created task 'TFLN-opt_mode' with resource_id                      \n", "             'mo-95e96998-051a-4a00-8363-5ce569d1a4f6' and task_type            \n", "             'MODE_SOLVER'.                                                     \n", "
\n"], "text/plain": ["\u001b[2;36m15:11:49 -03\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'TFLN-opt_mode'\u001b[0m with resource_id \n", "\u001b[2;36m \u001b[0m\u001b[32m'mo-95e96998-051a-4a00-8363-5ce569d1a4f6'\u001b[0m and task_type \n", "\u001b[2;36m \u001b[0m\u001b[32m'MODE_SOLVER'\u001b[0m. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
             View task using web UI at                                          \n", "             'https://tidy3d.simulation.cloud/workbench?taskId=mo-95e96998-051a-\n", "             4a00-8363-5ce569d1a4f6'.                                           \n", "
\n"], "text/plain": ["\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at \n", "\u001b[2;36m \u001b[0m\u001b]8;id=154915;https://tidy3d.simulation.cloud/workbench?taskId=mo-95e96998-051a-4a00-8363-5ce569d1a4f6\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=66411;https://tidy3d.simulation.cloud/workbench?taskId=mo-95e96998-051a-4a00-8363-5ce569d1a4f6\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=154915;https://tidy3d.simulation.cloud/workbench?taskId=mo-95e96998-051a-4a00-8363-5ce569d1a4f6\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=54226;https://tidy3d.simulation.cloud/workbench?taskId=mo-95e96998-051a-4a00-8363-5ce569d1a4f6\u001b\\\u001b[32mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=154915;https://tidy3d.simulation.cloud/workbench?taskId=mo-95e96998-051a-4a00-8363-5ce569d1a4f6\u001b\\\u001b[32m-95e96998-051a-\u001b[0m\u001b]8;;\u001b\\\n", "\u001b[2;36m \u001b[0m\u001b]8;id=154915;https://tidy3d.simulation.cloud/workbench?taskId=mo-95e96998-051a-4a00-8363-5ce569d1a4f6\u001b\\\u001b[32m4a00-8363-5ce569d1a4f6'\u001b[0m\u001b]8;;\u001b\\. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
             Task folder: 'TFLN-VPI'.                                           \n", "
\n"], "text/plain": ["\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=331860;https://tidy3d.simulation.cloud/folders/folder-8992deaf-7bd2-4439-9603-4a345bb23569\u001b\\\u001b[32m'TFLN-VPI'\u001b[0m\u001b]8;;\u001b\\. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "23aec41576ad433eabb0c6efbab0abb5", "version_major": 2, "version_minor": 0}, "text/plain": ["Output()"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
\n"], "text/plain": []}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
15:11:53 -03 Estimated FlexCredit cost: 0.004. Minimum cost depends on task     \n", "             execution details. Use 'web.real_cost(task_id)' to get the billed  \n", "             FlexCredit cost after a simulation run.                            \n", "
\n"], "text/plain": ["\u001b[2;36m15:11:53 -03\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.004\u001b[0m. Minimum cost depends on task \n", "\u001b[2;36m \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed \n", "\u001b[2;36m \u001b[0mFlexCredit cost after a simulation run. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
15:11:55 -03 status = success                                                   \n", "
\n"], "text/plain": ["\u001b[2;36m15:11:55 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = success \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "149bd68511aa49168cd04cfdd7bb3505", "version_major": 2, "version_minor": 0}, "text/plain": ["Output()"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
\n"], "text/plain": []}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
15:12:04 -03 loading simulation from simulation_data.hdf5                       \n", "
\n"], "text/plain": ["\u001b[2;36m15:12:04 -03\u001b[0m\u001b[2;36m \u001b[0mloading simulation from simulation_data.hdf5 \n"]}, "metadata": {}, "output_type": "display_data"}], "source": ["mode_data_opt = web.run(mode_solver_opt, task_name=\"TFLN-opt_mode\", folder_name=\"TFLN-VPI\")"]}, {"cell_type": "markdown", "id": "0058eb29", "metadata": {}, "source": ["We can now visualize and inspect the optical modes. We are interested in the TE-like fundamental mode (with *mode_index == 0*), which has an effective index of 1.85 and a group index of 2.20. This information is very important to ensure velocity matching between the optical and RF modes, and hence optimize the electro-optical effect."]}, {"cell_type": "code", "execution_count": 5, "id": "11417a3d", "metadata": {}, "outputs": [{"data": {"text/html": ["
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wavelengthn effk effTE (Ey) fractionwg TE fractionwg TM fractionmode areagroup indexdispersion (ps/(nm km))
fmode_index
1.934145e+1401.551.8072210.00.9971240.9618910.8708590.7999262.214488-545.866993
11.551.7212020.00.0884260.8009500.9515991.2308602.299366-1871.424868
21.551.6899220.00.9413470.9521670.8753593.5950952.092426-2536.536988
31.551.6824580.00.9999670.9956210.8578583.0137632.011008-954.413416
41.551.6782060.00.9851920.9692710.8656692.9933682.054942135.879602
\n", "
"], "text/plain": [" wavelength n eff k eff TE (Ey) fraction \\\n", "f mode_index \n", "1.934145e+14 0 1.55 1.807221 0.0 0.997124 \n", " 1 1.55 1.721202 0.0 0.088426 \n", " 2 1.55 1.689922 0.0 0.941347 \n", " 3 1.55 1.682458 0.0 0.999967 \n", " 4 1.55 1.678206 0.0 0.985192 \n", "\n", " wg TE fraction wg TM fraction mode area \\\n", "f mode_index \n", "1.934145e+14 0 0.961891 0.870859 0.799926 \n", " 1 0.800950 0.951599 1.230860 \n", " 2 0.952167 0.875359 3.595095 \n", " 3 0.995621 0.857858 3.013763 \n", " 4 0.969271 0.865669 2.993368 \n", "\n", " group index dispersion (ps/(nm km)) \n", "f mode_index \n", "1.934145e+14 0 2.214488 -545.866993 \n", " 1 2.299366 -1871.424868 \n", " 2 2.092426 -2536.536988 \n", " 3 2.011008 -954.413416 \n", " 4 2.054942 135.879602 "]}, "execution_count": 12, "metadata": {}, "output_type": "execute_result"}, {"data": {"image/png": 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", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["mode_solver_opt.plot_field(\"E\", \"abs^2\", mode_index=0)\n", "mode_data_opt.to_dataframe()\n", "\n", "plt.show()"]}, {"cell_type": "markdown", "id": "821fae2b", "metadata": {}, "source": ["## RF CPW Transmission Line \n", "\n", "Next, we define the CPW geometry and again use [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) to calculate the RF mode.\n", "\n", "For more information on CPW mode calculation, one can refer to [this](https://www.flexcompute.com/tidy3d/examples/notebooks/CPWRFPhotonics1/) example."]}, {"cell_type": "code", "execution_count": 6, "id": "fd57cb3d", "metadata": {}, "outputs": [], "source": ["# RF frequency range\n", "rf_freqs = np.linspace(10e9, 90e9, 21)\n", "\n", "# RF materials\n", "si_rf = td.Medium(permittivity=11.7)\n", "sio2_rf = td.Medium(permittivity=3.9)\n", "air_rf = td.Medium()\n", "tfln_rf = td.AnisotropicMedium(\n", " xx=td.Medium(permittivity=43), yy=td.Medium(permittivity=27.9), zz=td.Medium(permittivity=43)\n", ")\n", "metal = td.LossyMetalMedium(\n", " frequency_range=(100000000.0, 100000000000.0),\n", " conductivity=41,\n", " fit_param=td.SurfaceImpedanceFitterParam(\n", " max_num_poles=16,\n", " ),\n", ")"]}, {"cell_type": "markdown", "id": "2f6b2bd8", "metadata": {}, "source": ["Since we will sweep over many variables, it is convenient to create a function to return the CPW and optical waveguide geometries."]}, {"cell_type": "code", "execution_count": 7, "id": "ac78e2cb", "metadata": {}, "outputs": [], "source": ["def get_structures(\n", " h4=4.7,\n", " h2=0.4,\n", " h1=1,\n", " cpw_thickness=1, # CPW geometry parameters\n", " cpw_width=18, # w1\n", " cpw_gap=5, # g\n", " optical_waveguide_gap=25,\n", "): # G\n", " sio2_thickness = h1 + h3 + h4\n", "\n", " si_substrate = td.Structure(\n", " geometry=td.Box.from_bounds(\n", " rmin=(-eff_inf, -eff_inf, -eff_inf), rmax=(eff_inf, eff_inf, -sio2_thickness / 2)\n", " ),\n", " medium=si_rf,\n", " )\n", "\n", " # Define substrate and layer structures\n", " sio2_slab = td.Structure(\n", " geometry=td.Box(center=(0, 0, 0), size=(eff_inf, eff_inf, sio2_thickness)), medium=sio2_rf\n", " )\n", "\n", " # Optical waveguide\n", "\n", " center_slab = sio2_slab.geometry.bounds[0][2] + h4 + slab_thickness / 2\n", "\n", " tfln_slab = td.Structure(\n", " geometry=td.Box(center=(0, 0, center_slab), size=(eff_inf, eff_inf, slab_thickness)),\n", " medium=tfln_rf,\n", " )\n", "\n", " # Calculate vertical offset to position waveguides at TFLN slab level\n", " delta_z = tfln_slab.geometry.center[2] - ridge.geometry.center[2]\n", "\n", " # Define conformal cladding for waveguides\n", "\n", " delta_z_conformal = sio2_slab.geometry.bounds[1][2]\n", "\n", " waveguide_conformal_cladding = td.PolySlab(\n", " sidewall_angle=sidewall_angle * np.pi / 180,\n", " reference_plane=\"top\",\n", " slab_bounds=[delta_z_conformal, delta_z_conformal + core_thickness],\n", " vertices=[\n", " [-eff_inf, -core_width / 1.5],\n", " [eff_inf, -core_width / 1.5],\n", " [eff_inf, core_width / 1.5],\n", " [-eff_inf, core_width / 1.5],\n", " ],\n", " )\n", "\n", " # Define right waveguide positioned under CPW gap\n", " waveguide_r = [\n", " ridge.updated_copy(\n", " geometry=ridge.geometry.translated(\n", " x=0, y=optical_waveguide_gap / 2 + core_width / 2, z=delta_z\n", " ),\n", " name=\"ridge_r\",\n", " medium=tfln_rf,\n", " ),\n", " core.updated_copy(\n", " geometry=core.geometry.translated(\n", " x=0, y=optical_waveguide_gap / 2 + core_width / 2, z=delta_z\n", " ),\n", " name=\"core_r\",\n", " medium=tfln_rf,\n", " ),\n", " td.Structure(\n", " geometry=waveguide_conformal_cladding.translated(\n", " x=0, y=optical_waveguide_gap / 2 + core_width / 2, z=0\n", " ),\n", " medium=sio2_rf,\n", " ),\n", " ]\n", "\n", " # Define left waveguide positioned under CPW gap\n", " waveguide_l = [\n", " ridge.updated_copy(\n", " geometry=ridge.geometry.translated(\n", " x=0, y=-optical_waveguide_gap / 2 - core_width / 2, z=delta_z\n", " ),\n", " name=\"ridge_l\",\n", " medium=tfln_rf,\n", " ),\n", " core.updated_copy(\n", " geometry=core.geometry.translated(\n", " x=0, y=-optical_waveguide_gap / 2 - core_width / 2, z=delta_z\n", " ),\n", " name=\"core_l\",\n", " medium=tfln_rf,\n", " ),\n", " td.Structure(\n", " geometry=waveguide_conformal_cladding.translated(\n", " x=0, y=-optical_waveguide_gap / 2 - core_width / 2, z=0\n", " ),\n", " medium=sio2_rf,\n", " ),\n", " ]\n", "\n", " cpw_center_pos = sio2_slab.geometry.bounds[1][2] + cpw_thickness / 2\n", "\n", " # Define CPW transmission line structures\n", " cpw_left = td.Structure(\n", " geometry=td.Box.from_bounds(\n", " rmin=(-eff_inf, -eff_inf, cpw_center_pos - cpw_thickness / 2),\n", " rmax=(eff_inf, -cpw_width / 2 - cpw_gap, cpw_center_pos + cpw_thickness / 2),\n", " ),\n", " medium=metal,\n", " )\n", "\n", " cpw_right = td.Structure(\n", " geometry=td.Box.from_bounds(\n", " rmin=(-eff_inf, cpw_width / 2 + cpw_gap, cpw_center_pos - cpw_thickness / 2),\n", " rmax=(eff_inf, eff_inf, cpw_center_pos + cpw_thickness / 2),\n", " ),\n", " medium=metal,\n", " )\n", "\n", " cpw_center = td.Structure(\n", " geometry=td.Box.from_bounds(\n", " rmin=(-eff_inf, -cpw_width / 2, cpw_center_pos - cpw_thickness / 2),\n", " rmax=(eff_inf, cpw_width / 2, cpw_center_pos + cpw_thickness / 2),\n", " ),\n", " medium=metal,\n", " )\n", "\n", " air_gap = td.Structure(\n", " geometry=td.Box.from_bounds(\n", " rmin=(-eff_inf, -eff_inf, sio2_thickness / 2), rmax=(eff_inf, eff_inf, eff_inf)\n", " ),\n", " medium=air_rf,\n", " )\n", "\n", " return (\n", " [sio2_slab, si_substrate, air_gap, cpw_left, cpw_right, cpw_center, tfln_slab]\n", " + waveguide_l\n", " + waveguide_r\n", " )\n", "\n", "\n", "structures = get_structures()"]}, {"cell_type": "code", "execution_count": 8, "id": "1610730f", "metadata": {}, "outputs": [], "source": ["def get_sim(\n", " h4=4.7, # top SiO2 cladding thickness (\u00b5m)\n", " h2=0.4,\n", " h1=1, # lower layer thickness beneath the electrodes (\u00b5m)\n", " cpw_thickness=1, # CPW geometry parameters (t)\n", " cpw_width=18, # w1\n", " cpw_gap=5,\n", " optical_waveguide_gap=23 - core_width / 2, # G\n", " refinement=10,\n", " resolution=30,\n", " fields=[\"Ex\", \"Ey\", \"Ez\", \"Hx\", \"Hy\", \"Hz\"],\n", "): # g)\n", " structures = get_structures(\n", " h4, h2, h1, cpw_thickness, cpw_width, cpw_gap, optical_waveguide_gap\n", " )\n", " # Define layer refinement specification for enhanced mesh at CPW corners\n", "\n", " cpw_center = structures[5]\n", " cpw_left = structures[3]\n", " cpw_right = structures[4]\n", " tfln_slab = structures[6]\n", "\n", " lr_spec = td.LayerRefinementSpec.from_structures(\n", " structures=[cpw_center, cpw_left, cpw_right],\n", " min_steps_along_axis=5,\n", " corner_refinement=td.GridRefinement(dl=cpw_thickness / refinement, num_cells=5),\n", " refinement_inside_sim_only=False,\n", " )\n", "\n", " # Mesh override for waveguide region (fine mesh in z-direction)\n", " override_region = td.MeshOverrideStructure(\n", " geometry=td.Box(\n", " size=(eff_inf, eff_inf, slab_thickness + core_thickness),\n", " center=(0, 0, tfln_slab.geometry.center[2] + slab_thickness / 2),\n", " ),\n", " dl=(None, None, 0.05),\n", " )\n", "\n", " # Calculate gap center position\n", " gap_center = cpw_center.geometry.center[1] + cpw_width / 2 + cpw_gap / 2\n", "\n", " # Mesh override for left CPW gap (fine mesh in y-direction)\n", " override_region_gap_l = td.MeshOverrideStructure(\n", " geometry=td.Box(size=(eff_inf, cpw_gap, eff_inf), center=(0, gap_center, 0)),\n", " dl=(None, 0.05, None),\n", " )\n", "\n", " # Mesh override for right CPW gap (fine mesh in y-direction)\n", " override_region_gap_r = td.MeshOverrideStructure(\n", " geometry=td.Box(size=(eff_inf, cpw_gap, eff_inf), center=(0, -gap_center, 0)),\n", " dl=(None, 0.05, None),\n", " )\n", "\n", " # Overall grid specification\n", " grid_spec = td.GridSpec.auto(\n", " min_steps_per_sim_size=resolution,\n", " wavelength=td.C_0 / max(rf_freqs),\n", " layer_refinement_specs=[lr_spec],\n", " override_structures=[override_region, override_region_gap_l, override_region_gap_r],\n", " )\n", "\n", " # Integration paths for impedance calculation\n", "\n", " # Define current integration path (loop around CPW signal)\n", " I_int = mw.CurrentIntegralAxisAligned(\n", " center=cpw_center.geometry.center,\n", " size=(\n", " 0,\n", " cpw_width + cpw_gap,\n", " 5 * cpw_thickness,\n", " ),\n", " sign=\"+\",\n", " )\n", "\n", " # Define voltage integration path (line from signal to ground)\n", " V_int = mw.VoltageIntegralAxisAligned(\n", " center=(0, cpw_width / 2 + cpw_gap / 2, cpw_center.geometry.center[2]),\n", " size=(0, cpw_gap, 0),\n", " sign=\"-\",\n", " )\n", "\n", " # Simulation domain size\n", " sim_rf_size = (25, 138, 150)\n", "\n", " # Create RF simulation\n", " sim_vpi = td.Simulation(\n", " size=sim_rf_size,\n", " structures=structures,\n", " grid_spec=grid_spec,\n", " run_time=1e-12,\n", " )\n", "\n", " # Create and visualize the mode solver\n", "\n", " plane = td.Box(\n", " center=cpw_center.geometry.center,\n", " size=(0, sim_vpi.size[1], sim_vpi.size[2]),\n", " )\n", "\n", " mzm_solver = ModeSolver(\n", " simulation=sim_vpi,\n", " plane=plane,\n", " mode_spec=td.ModeSpec(num_modes=1, target_neff=2.2),\n", " freqs=rf_freqs,\n", " fields=fields,\n", " )\n", "\n", " return sim_vpi, mzm_solver, I_int, V_int\n", "\n", "\n", "sim_vpi, mzm_solver, I_int, V_int = get_sim()"]}, {"cell_type": "code", "execution_count": 9, "id": "de0b6b55", "metadata": {}, "outputs": [{"data": {"image/png": 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", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["# Visualize the mesh\n", "ax = mzm_solver.plot()\n", "mzm_solver.plot_grid(ax=ax)\n", "center = mzm_solver.simulation.structures[0].geometry.center\n", "ax.set_xlim(center[0] - 20, center[0] + 20)\n", "ax.set_ylim(center[1] - 10, center[1] + 10)\n", "plt.show()"]}, {"cell_type": "code", "execution_count": 10, "id": "ddd67053", "metadata": {}, "outputs": [{"data": {"image/png": 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", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["# Plot V and I integration paths\n", "fig, ax = plt.subplots(figsize=(10, 3))\n", "mzm_solver.plot(ax=ax)\n", "I_int.plot(x=0, ax=ax)\n", "V_int.plot(x=0, ax=ax)\n", "ax.set_xlim(-20, 20)\n", "ax.set_ylim(-10, 10)\n", "plt.show()"]}, {"cell_type": "markdown", "id": "2171248e", "metadata": {}, "source": ["### Simulation Definition\n", "\n", "Now, we define a function to can create the [Simulation](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.Simulation.html) and [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) objects.\n", "\n", "Since the RF wavelength is much larger than the geometric features, we use a [LayerRefinementSpec](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.LayerRefinementSpec.html) at the CPW to automatically enhance the mesh and better resolve its corners.\n", "\n", "For the rest of the simulation, we use the automatic grid with `min_steps_per_sim_size = 100`, which ensures at least 100 grid cells along the longest dimension of the simulation domain.\n", "\n", "We will also add mesh override regions to properly resolve the thickness of the optical waveguide, as well as the gaps, to ensure accurate results.\n", "\n", "For impedance calculation, we define a [current](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.CurrentIntegralAxisAligned.html) integration path around the CPW signal, and a [voltage](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.VoltageIntegralAxisAligned.html) integration path from the signal to ground."]}, {"cell_type": "code", "execution_count": 11, "id": "38935f5b", "metadata": {}, "outputs": [{"data": {"text/html": ["
15:12:42 -03 Created task 'MZM mode solver' with resource_id                    \n", "             'mo-f356db97-e9ab-44ad-a652-38f14457d53c' and task_type            \n", "             'MODE_SOLVER'.                                                     \n", "
\n"], "text/plain": ["\u001b[2;36m15:12:42 -03\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'MZM mode solver'\u001b[0m with resource_id \n", "\u001b[2;36m \u001b[0m\u001b[32m'mo-f356db97-e9ab-44ad-a652-38f14457d53c'\u001b[0m and task_type \n", "\u001b[2;36m \u001b[0m\u001b[32m'MODE_SOLVER'\u001b[0m. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
             View task using web UI at                                          \n", "             'https://tidy3d.simulation.cloud/workbench?taskId=mo-f356db97-e9ab-\n", "             44ad-a652-38f14457d53c'.                                           \n", "
\n"], "text/plain": ["\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at \n", "\u001b[2;36m \u001b[0m\u001b]8;id=791692;https://tidy3d.simulation.cloud/workbench?taskId=mo-f356db97-e9ab-44ad-a652-38f14457d53c\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=418868;https://tidy3d.simulation.cloud/workbench?taskId=mo-f356db97-e9ab-44ad-a652-38f14457d53c\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=791692;https://tidy3d.simulation.cloud/workbench?taskId=mo-f356db97-e9ab-44ad-a652-38f14457d53c\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=800242;https://tidy3d.simulation.cloud/workbench?taskId=mo-f356db97-e9ab-44ad-a652-38f14457d53c\u001b\\\u001b[32mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=791692;https://tidy3d.simulation.cloud/workbench?taskId=mo-f356db97-e9ab-44ad-a652-38f14457d53c\u001b\\\u001b[32m-f356db97-e9ab-\u001b[0m\u001b]8;;\u001b\\\n", "\u001b[2;36m \u001b[0m\u001b]8;id=791692;https://tidy3d.simulation.cloud/workbench?taskId=mo-f356db97-e9ab-44ad-a652-38f14457d53c\u001b\\\u001b[32m44ad-a652-38f14457d53c'\u001b[0m\u001b]8;;\u001b\\. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
             Task folder: 'default'.                                            \n", "
\n"], "text/plain": ["\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=574288;https://tidy3d.simulation.cloud/folders/folder-f9e994c1-6315-4b44-af3a-c2cb1435b23a\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "6a07daf2cb85444295e56294240d3a9a", "version_major": 2, "version_minor": 0}, "text/plain": ["Output()"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
\n"], "text/plain": []}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
15:12:45 -03 Estimated FlexCredit cost: 0.008. Minimum cost depends on task     \n", "             execution details. Use 'web.real_cost(task_id)' to get the billed  \n", "             FlexCredit cost after a simulation run.                            \n", "
\n"], "text/plain": ["\u001b[2;36m15:12:45 -03\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.008\u001b[0m. Minimum cost depends on task \n", "\u001b[2;36m \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed \n", "\u001b[2;36m \u001b[0mFlexCredit cost after a simulation run. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
15:12:47 -03 status = success                                                   \n", "
\n"], "text/plain": ["\u001b[2;36m15:12:47 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = success \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "78d59878a5a2418a97c7cd61dbfab124", "version_major": 2, "version_minor": 0}, "text/plain": ["Output()"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
\n"], "text/plain": []}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
15:13:09 -03 loading simulation from data/MZM_mode_data.hdf5                    \n", "
\n"], "text/plain": ["\u001b[2;36m15:13:09 -03\u001b[0m\u001b[2;36m \u001b[0mloading simulation from data/MZM_mode_data.hdf5 \n"]}, "metadata": {}, "output_type": "display_data"}], "source": ["mzm_mode_data = web.run(mzm_solver, task_name=\"MZM mode solver\", path=\"data/MZM_mode_data.hdf5\")"]}, {"cell_type": "markdown", "id": "981f469e", "metadata": {}, "source": ["Visualizing the results:"]}, {"cell_type": "code", "execution_count": 12, "id": "7d132394", "metadata": {}, "outputs": [{"data": {"image/png": 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", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["# Visualize the RF mode\n", "ax = mzm_solver.plot_field(\"E\", \"abs\", f=rf_freqs[0], mode_index=0, robust=True, shading=\"gouraud\")\n", "ax.set_ylim(1, 5)\n", "ax.set_xlim(5, 18)\n", "plt.show()"]}, {"cell_type": "markdown", "id": "9bd87dcc", "metadata": {}, "source": ["We can now use the built-in [ImpedanceCalculator](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/microwave/_autosummary/tidy3d.plugins.microwave.ImpedanceCalculator.html) to calculate and visualize the impedance results."]}, {"cell_type": "code", "execution_count": 13, "id": "a7147eea", "metadata": {}, "outputs": [{"data": {"image/png": 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", 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"]}, "metadata": {}, "output_type": "display_data"}], "source": ["def get_impedance(data, I_int, V_int, plot=True):\n", " n_eff = data.n_eff.isel(mode_index=0)\n", " k_eff = data.k_eff.isel(mode_index=0)\n", "\n", " # Calculate Z0\n", " Z0_mzm = np.conjugate(\n", " mw.ImpedanceCalculator(voltage_integral=V_int, current_integral=I_int).compute_impedance(\n", " data\n", " )\n", " ).squeeze()\n", "\n", " if plot:\n", " fig, ax = plt.subplots(1, 2, figsize=(8, 3), tight_layout=True)\n", "\n", " ax[0].plot(rf_freqs * 1e-9, n_eff, \".-\")\n", " ax[0].set(ylabel=\"Effective Index\", xlabel=\"Frequency (GHz)\")\n", "\n", " ax[1].plot(rf_freqs * 1e-9, np.real(Z0_mzm), \".-\")\n", " _ = ax[1].set(ylabel=\"Re{Z\u2080} (\u03a9)\", xlabel=\"Frequency (GHz)\")\n", "\n", " return Z0_mzm, n_eff, k_eff\n", "\n", "\n", "Z0_mzm, n_eff, k_eff = get_impedance(mzm_solver.data, I_int, V_int)\n", "\n", "\n", "plt.show()"]}, {"cell_type": "markdown", "id": "dc867f82", "metadata": {}, "source": ["### Sweep Over Different Parameters\n", "\n", "Now, we can sweep over different g and w1 parameters, and calculate impedance, effective index and attenuation constant"]}, {"cell_type": "code", "execution_count": 14, "id": "2b2f465a", "metadata": {}, "outputs": [], "source": ["g_values = np.linspace(2, 16, 10)\n", "w1_values = np.linspace(3, 25, 10)\n", "\n", "dict = {}\n", "dic_integrals = {}\n", "for g in g_values:\n", " for w1 in w1_values:\n", " sim_vpi, mzm_solver, I_int, V_int = get_sim(\n", " cpw_gap=g,\n", " cpw_width=w1,\n", " h4=2,\n", " h1=1,\n", " optical_waveguide_gap=w1 + g / 2,\n", " fields=[\"Ey\", \"Hy\", \"Hz\"],\n", " ) # Fields for calculating impedance\n", " dict[f\"({g:.2f},{w1:.2f})\"] = mzm_solver\n", " dic_integrals[f\"({g:.2f},{w1:.2f})\"] = I_int, V_int\n", "\n", "batch = web.Batch(simulations=dict, folder_name=\"mzm_solver\")"]}, {"cell_type": "code", "execution_count": 15, "id": "97ef1bd6", "metadata": {}, "outputs": [{"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "21642781654c4efb96b6d4886f568bb9", "version_major": 2, "version_minor": 0}, "text/plain": ["Output()"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
\n"], "text/plain": []}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
15:13:57 -03 Started working on Batch containing 100 tasks.                     \n", "
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15:16:13 -03 Maximum FlexCredit cost: 0.895 for the whole batch.                \n", "
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             Use 'Batch.real_cost()' to get the billed FlexCredit cost after the\n", "             Batch has completed.                                               \n", "
\n"], "text/plain": ["\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mUse \u001b[32m'Batch.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed FlexCredit cost after the\n", "\u001b[2;36m \u001b[0mBatch has completed. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "5645070251bf4e93bad9fdf6be02a772", "version_major": 2, "version_minor": 0}, "text/plain": ["Output()"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
15:18:09 -03 Batch complete.                                                    \n", "
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\n"], "text/plain": []}, "metadata": {}, "output_type": "display_data"}, {"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "c37161564210419bb4b0dcc4347ec0cb", "version_major": 2, "version_minor": 0}, "text/plain": ["Output()"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
\n"], "text/plain": []}, "metadata": {}, "output_type": "display_data"}], "source": ["batch_data = batch.run(path_dir=\"batch_mzm_solver\")"]}, {"cell_type": "markdown", "id": "e7285fb0", "metadata": {}, "source": ["### Data Processing\n", "\n", "Now we can calculate impedance, RF effective index, RF losses, and reproduce Figures 4a, 4b, and 4c from the reference [paper](https://pubs.acs.org/doi/10.1021/acsomega.3c00310)."]}, {"cell_type": "code", "execution_count": 16, "id": "0289eabe", "metadata": {}, "outputs": [], "source": ["import pandas as pd\n", "\n", "df_z0 = pd.DataFrame()\n", "df_z0.index.name = \"h1\"\n", "df_z0.columns.name = \"cpw_thickness\"\n", "\n", "df_neff = pd.DataFrame()\n", "df_neff.index.name = \"h1\"\n", "df_neff.columns.name = \"cpw_thickness\"\n", "\n", "df_k_eff = pd.DataFrame()\n", "df_k_eff.index.name = \"h1\"\n", "df_k_eff.columns.name = \"cpw_thickness\"\n", "\n", "for task_name, sim_data in batch_data.items():\n", "    I_int, V_int = dic_integrals[task_name]\n", "    Z0_mzm, n_eff, k_eff = get_impedance(sim_data, I_int, V_int, plot=False)\n", "\n", "    h1, cpw_thickness = eval(task_name)\n", "    df_z0.loc[h1, cpw_thickness] = Z0_mzm.sel(f=70e9, method=\"nearest\").values\n", "    df_neff.loc[h1, cpw_thickness] = n_eff.sel(f=70e9, method=\"nearest\").values\n", "    df_k_eff.loc[h1, cpw_thickness] = k_eff.sel(f=70e9, method=\"nearest\").values"]}, {"cell_type": "code", "execution_count": 17, "id": "8d09cccd", "metadata": {}, "outputs": [{"data": {"image/png": 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"]}, "metadata": {}, "output_type": "display_data"}], "source": ["fig, Ax = plt.subplots(ncols=3, figsize=(17, 5))\n", "\n", "pm1 = Ax[0].pcolormesh(\n", " df_z0.index, df_z0.columns, df_z0.values.T.real, cmap=\"jet\", shading=\"gouraud\"\n", ")\n", "cb1 = plt.colorbar(pm1)\n", "cb1.set_label(\"Impedance (\u03a9)\")\n", "\n", "pm2 = Ax[1].pcolormesh(\n", " df_neff.index, df_neff.columns, df_neff.values.T, cmap=\"jet\", shading=\"gouraud\"\n", ")\n", "cb2 = plt.colorbar(pm2)\n", "cb2.set_label(\"Effective Index\")\n", "\n", "df_alpha = 2 * np.pi * (70e9 / td.C_0) * df_k_eff * 10**6\n", "pm3 = Ax[2].pcolormesh(\n", " df_alpha.index, df_alpha.columns, df_alpha.values.T, cmap=\"jet\", shading=\"gouraud\"\n", ")\n", "cb3 = plt.colorbar(pm3)\n", "cb3.set_label(\"Attenuation Constant $\\\\alpha$ (1/m)\")\n", "\n", "for ax in Ax:\n", " ax.set_ylim(Ax[2].get_ylim()[::-1])\n", " ax.set_xlabel(\"h1 (\u00b5m)\")\n", "\n", "plt.show()"]}, {"cell_type": "markdown", "id": "9381c163", "metadata": {}, "source": ["## Computation of V\u03c0\u00b7L \n", "\n", "Now we can use the RF fields to calculate the Pockels effect and V\u03c0\u00b7L.\n", "\n", "First, we create a final simulation with the optimized parameters, as reported in the reference [paper](https://pubs.acs.org/doi/10.1021/acsomega.3c00310)."]}, {"cell_type": "code", "execution_count": 18, "id": "24b9a035", "metadata": {}, "outputs": [{"data": {"text/html": ["
16:23:18 -03 Created task 'MZM mode solver' with resource_id                    \n", "             'mo-e411ff34-43aa-489b-815b-5be0324c5b0e' and task_type            \n", "             'MODE_SOLVER'.                                                     \n", "
\n"], "text/plain": ["\u001b[2;36m16:23:18 -03\u001b[0m\u001b[2;36m \u001b[0mCreated task \u001b[32m'MZM mode solver'\u001b[0m with resource_id \n", "\u001b[2;36m \u001b[0m\u001b[32m'mo-e411ff34-43aa-489b-815b-5be0324c5b0e'\u001b[0m and task_type \n", "\u001b[2;36m \u001b[0m\u001b[32m'MODE_SOLVER'\u001b[0m. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
             View task using web UI at                                          \n", "             'https://tidy3d.simulation.cloud/workbench?taskId=mo-e411ff34-43aa-\n", "             489b-815b-5be0324c5b0e'.                                           \n", "
\n"], "text/plain": ["\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mView task using web UI at \n", "\u001b[2;36m \u001b[0m\u001b]8;id=401364;https://tidy3d.simulation.cloud/workbench?taskId=mo-e411ff34-43aa-489b-815b-5be0324c5b0e\u001b\\\u001b[32m'https://tidy3d.simulation.cloud/workbench?\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=530762;https://tidy3d.simulation.cloud/workbench?taskId=mo-e411ff34-43aa-489b-815b-5be0324c5b0e\u001b\\\u001b[32mtaskId\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=401364;https://tidy3d.simulation.cloud/workbench?taskId=mo-e411ff34-43aa-489b-815b-5be0324c5b0e\u001b\\\u001b[32m=\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=808636;https://tidy3d.simulation.cloud/workbench?taskId=mo-e411ff34-43aa-489b-815b-5be0324c5b0e\u001b\\\u001b[32mmo\u001b[0m\u001b]8;;\u001b\\\u001b]8;id=401364;https://tidy3d.simulation.cloud/workbench?taskId=mo-e411ff34-43aa-489b-815b-5be0324c5b0e\u001b\\\u001b[32m-e411ff34-43aa-\u001b[0m\u001b]8;;\u001b\\\n", "\u001b[2;36m \u001b[0m\u001b]8;id=401364;https://tidy3d.simulation.cloud/workbench?taskId=mo-e411ff34-43aa-489b-815b-5be0324c5b0e\u001b\\\u001b[32m489b-815b-5be0324c5b0e'\u001b[0m\u001b]8;;\u001b\\. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
             Task folder: 'default'.                                            \n", "
\n"], "text/plain": ["\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mTask folder: \u001b]8;id=58610;https://tidy3d.simulation.cloud/folders/folder-f9e994c1-6315-4b44-af3a-c2cb1435b23a\u001b\\\u001b[32m'default'\u001b[0m\u001b]8;;\u001b\\. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "9ab3da7709b54c38b6e2592f0ba4e4a4", "version_major": 2, "version_minor": 0}, "text/plain": ["Output()"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
\n"], "text/plain": []}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
16:23:21 -03 Estimated FlexCredit cost: 0.009. Minimum cost depends on task     \n", "             execution details. Use 'web.real_cost(task_id)' to get the billed  \n", "             FlexCredit cost after a simulation run.                            \n", "
\n"], "text/plain": ["\u001b[2;36m16:23:21 -03\u001b[0m\u001b[2;36m \u001b[0mEstimated FlexCredit cost: \u001b[1;36m0.009\u001b[0m. Minimum cost depends on task \n", "\u001b[2;36m \u001b[0mexecution details. Use \u001b[32m'web.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32mtask_id\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed \n", "\u001b[2;36m \u001b[0mFlexCredit cost after a simulation run. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
16:23:22 -03 status = success                                                   \n", "
\n"], "text/plain": ["\u001b[2;36m16:23:22 -03\u001b[0m\u001b[2;36m \u001b[0mstatus = success \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "232934c63c9546e69b12e025a6758a96", "version_major": 2, "version_minor": 0}, "text/plain": ["Output()"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
\n"], "text/plain": []}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
16:23:30 -03 loading simulation from data/MZM_mode_data.hdf5                    \n", "
\n"], "text/plain": ["\u001b[2;36m16:23:30 -03\u001b[0m\u001b[2;36m \u001b[0mloading simulation from data/MZM_mode_data.hdf5 \n"]}, "metadata": {}, "output_type": "display_data"}], "source": ["cpw_width = 18\n", "cpw_gap = 5\n", "cpw_thickness = 1\n", "h1 = 0.5\n", "optical_waveguide_gap = 25\n", "\n", "sim_final, mzm_solver_final, I_int_final, V_int_final = get_sim(\n", " h4=4.7, # top SiO2 cladding thickness (\u00b5m)\n", " h2=0.4,\n", " h1=h1, # lower layer thickness beneath the electrodes (\u00b5m)\n", " cpw_thickness=cpw_thickness, # CPW geometry parameters (t)\n", " cpw_width=cpw_width, # w1\n", " cpw_gap=cpw_gap,\n", " optical_waveguide_gap=optical_waveguide_gap,\n", " refinement=20,\n", " resolution=60,\n", ") # g\n", "\n", "mzm_solver_final_data = web.run(\n", " mzm_solver_final, task_name=\"MZM mode solver\", path=\"data/MZM_mode_data.hdf5\"\n", ")"]}, {"cell_type": "markdown", "id": "45bc89f5", "metadata": {}, "source": ["To calculate the Pockels effect, we apply an electric field along the LiNbO\u2083 cut direction to perturb the optical medium. First, we normalize the field by the applied voltage on the push-pull configuration."]}, {"cell_type": "code", "execution_count": 19, "id": "82671b9d", "metadata": {}, "outputs": [{"data": {"image/png": 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Cnz59kJaWBr1eb7p7Z9y4cWjVqhVSU1Ph4eEhWlwTAJo2bQoAovRp06Zh/vz56NSpk+lW4pCQEAwfPlxxvdg4ISIiaqBGjx6Ny5cvY9asWcjPz0d0dDS2b99umtCam5trcWTcGTNmQK/XY/LkySgsLMS9996L7du3K45xArBxQkRE5HBqxDmxdv/ExEQkJibKPpeZmVnjvmvWrJGkaTQazJ07F3PnzrWqPgAbJ0RERA5nhAYG8yCFlpZh4/7OhI0TIiIiBxOggdHGe1RcaeE/12lmERERkUtgzwkREZGDqRfnxDWwcUJERORggmD7nBNb93cmbJwQERE5mPDfhftsK8N1uE4zi4iIiFwCe07IaTz15wDR4/VtdzuoJtbz1XqKHvtojZI83pqbkjQPQ6UkrTEMkjQdjDU+ro5c5EmDVppWadSJH8v8FtNqrP99Zl4PuXrJ/XqUzSeTpiRCpq1ROO+kUXGI35bXVaNwX7WPoaQ8rcx7yJb6Kk1rpJF+NhTve8fnVpD5DNuD8b/h621h6/7OhI0TIiIiBzOqMOeEcU6IiIhINYxzIuY6zSwiIiJyCew5ISIicrDb4esZ56QKGydEREQOJqgwIdbWYSFnwsYJERGRgxkFjc0TWtW8E83RXKeZRURERC7BoY2TlStXIjIyEr6+vvD19UVsbCy+++67avOvWbMGGo1GtHl4eNRhjYmIiNRXNaxjy8ZhHZW0bt0aCxYsQKdOnSAIAtauXYthw4bh0KFD6Nq1q+w+vr6+OHnypOmxRs0oSERERA6gxoRYW/d3Jg5tnDzyyCOix2+88QZWrlyJn3/+udrGiUajQVBQUF1Uj4iIqE6oEedE4N066jMYDPj888+h1+sRGxtbbb6SkhK0bdsWRqMRd999N958881qGzIAUFZWhrKyMtPj4uJiVetNRERkKzUixLrSqsQOP5MjR47Ax8cH7u7uePbZZ7FlyxZ06dJFNm94eDhWrVqFr776Ch9//DGMRiP69u2L8+fPV1t+amoq/Pz8TFtoaKi9ToWIiIhU4PDGSXh4OHJycrBv3z4899xzSEhIwG+//SabNzY2FuPGjUN0dDQGDBiAL7/8Ei1btsS//vWvastPTk5GUVGRaTt37py9ToWIiMgqAm7PO7Fl47COitzc3NCxY0cAQM+ePfHLL79g2bJlNTY4qjRu3Bg9evTAqVOnqs3j7u4Od3d31epLRESkNiO0KgzruE7jxOE9J+aMRqNojkhNDAYDjhw5guDgYDvXioiIyH54K7GYQ3tOkpOTMXToULRp0wY3btzAhg0bkJmZiR07dgAAxo0bh1atWiE1NRUAMHfuXNxzzz3o2LEjCgsLsXjxYvz555945plnHHkaREREpCKHNk4uXbqEcePGIS8vD35+foiMjMSOHTvwwAMPAAByc3Oh1f7VErx+/TomTZqE/Px8NGvWDD179sTevXurnUBLRERUHwiC7eHnufCfSj766KMan8/MzBQ9fvvtt/H222/bsUZERER1z6jKwn9snBAREZFKBGhVWPiPc06IVHez0s3RVVCdVuEvIYPMLx65X0Hlgk70uFRoLMlz0yh9HeXS9JXSu9j0BnG+UoO0/NJK6Z+NcqNOklZhkEkzy2cwSl8fg1HZayHIdIGruSqrViOIHmvMHgOAFuZ5rCu7uvKV7quU0mPYclzz10Tt8pWSe88ordud7yNXWum3PnGdZhYREVE9ZcTtHym2bNYO66xYsQJhYWHw8PBATEwM9u/fX23eL7/8Er169ULTpk3h7e2N6OhorF+/XpRn/PjxkkV6hwwZYlGd2HNCRETkYIKgUWFYx/LGyaZNm5CUlIT09HTExMQgLS0N8fHxOHnyJAICAiT5mzdvjtdeew0RERFwc3PDN998gwkTJiAgIADx8fGmfEOGDMHq1atNjy2NN8bGCRERkYMZ/9v7YWsZgHQNuZqCkS5duhSTJk3ChAkTAADp6en49ttvsWrVKrzyyiuS/AMHDhQ9fv7557F27Vrs2bNH1Dhxd3e3aZFeDusQERG5CL1eL1pPzs/PzxQrzFx5eTmys7MRFxdnStNqtYiLi0NWVlatxxIEARkZGTh58iT69+8vei4zMxMBAQEIDw/Hc889h6tXr1p0Huw5ISIicjB1hnW08Pb2Rl5enii9ul6TK1euwGAwIDAwUJQeGBiIEydOVHucoqIitGrVCmVlZdDpdHjvvfdM8cmA20M6I0aMQLt27XD69Gm8+uqrGDp0KLKysqDTSSfKy2HjhIiIyMGM0Ni8tk7VnBNfX181qlStJk2aICcnByUlJcjIyEBSUhLat29vGvIZM2aMKW/37t0RGRmJDh06IDMzE4MHD1Z0DDZOiIiIHEyw4W6bKpbu7+/vD51Oh4KCAlF6QUFBjfNFtFqtacHe6OhoHD9+HKmpqZL5KFXat28Pf39/nDp1SnHjhHNOiIiIGiA3Nzf07NkTGRkZpjSj0YiMjAzExsYqLqe2BXvPnz+Pq1evWrRIL3tOiIiIHEwQVBjWsaK/ISkpCQkJCejVqxf69OmDtLQ06PV609075gvwpqamolevXujQoQPKysqwbds2rF+/HitXrgQAlJSUYM6cORg5ciSCgoJw+vRpzJgxAx07dhTdzVMbNk6IiIgczAgVFv6zIsju6NGjcfnyZcyaNQv5+fmIjo7G9u3bTZNkzRfg1ev1mDJlCs6fPw9PT09ERETg448/xujRowEAOp0Ohw8fxtq1a1FYWIiQkBA8+OCDmDdvnkWxTtg4ISIicjBBlYX/rNs/MTERiYmJss+ZL8A7f/58zJ8/v9qyPD09sWPHDqvqcSc2ToiIiBzs9q3EtvacuM46QJwQS0RERE6FPSdEREQOdvtWYtv6CwQbb0V2JmycEBEROdjtIGy2NS5s3d+ZsHFCRETkYIJg+5wRwYUaJ5xzQkRERE6FPSfkNLr5XnR0FVR31aiXpOUbpB+7C5VNJWkFlX6StMuVTcTlVzSR5Cmu8JCk3aiUxhcoqZCmlZrV7VZlY0meSoN04a5ymbRKg/S3j8EoTjMapb/05H49yv4iVBLTQWY3jUa6o9zvTZ3OKHrcSGeQ5GlklkcnUymd1ihJ08rVQSZNjty+zsQ8hLpW5jWRu57SV0l9lTK/x7WCtH53vsaVxrr5Da/Kwn8u1N/AxgkREZGDGaGBwea1dVwHGydEREQOJoBxTu7kOn1ARERE5BLYc0JERORgqsw5sXF/Z8LGCRERkYMZIZ1MbCkGYSMiIiLVCKoEYVOpMk7AdfqAiIiIyCWw54SIiMjB1JhzInDOCREREalFgO23Ats6Z8WZsHFCRETkYEZoOCH2Dq7TB0REREQugT0nREREDnZ7zomtEWJVqowTYOOEiIjIwRiETYyNEyIiIgdTY0Ks7Ord9RQbJ+Q0Jjb72SyliUPqYYuzlTfMHvtK8pyraCFJK6jwk6RdqpDuW1jhKXpcVO4pyVNS6SZJ01dI00orGkvSyg060eOKSp0kT6VB+uvMKJdmlP6hFAziNEEuj9wfWNnuaqX5at9No5Wu56ptLE7z8pQW7uZWIXrs0ahCkqeRTNlKyX1ZyaUp/VJSOuFS1QXklBYlc0ytzAWVC1Rm1EjzaW1Ju+O4tgZGU0pQYUKsK92t4zp9QEREROQS2HNCRETkYIKgxrCOSpVxAmycEBEROZgAFe7WcaFhHTZOiIiIHMyoyq3ErtM4ceick5UrVyIyMhK+vr7w9fVFbGwsvvvuuxr3+fzzzxEREQEPDw90794d27Ztq6PaEhERUV1waOOkdevWWLBgAbKzs3HgwAHcf//9GDZsGI4dOyabf+/evRg7diwmTpyIQ4cOYfjw4Rg+fDiOHj1axzUnIiJST9WtxLZsrnQrsUMbJ4888ggeeughdOrUCXfddRfeeOMN+Pj44OefzW8pvW3ZsmUYMmQIpk+fjs6dO2PevHm4++678e6771Z7jLKyMhQXF4s2IiIiZ1J1K7GtmzVWrFiBsLAweHh4ICYmBvv3768275dffolevXqhadOm8Pb2RnR0NNavXy8+F0HArFmzEBwcDE9PT8TFxeGPP/6wqE5OcyuxwWDAxo0bodfrERsbK5snKysLcXFxorT4+HhkZWVVW25qair8/PxMW2hoqKr1JiIislXV3Tq29ZxYftxNmzYhKSkJKSkpOHjwIKKiohAfH49Lly7J5m/evDlee+01ZGVl4fDhw5gwYQImTJiAHTt2mPIsWrQI77zzDtLT07Fv3z54e3sjPj4epaWliuvl8MbJkSNH4OPjA3d3dzz77LPYsmULunTpIps3Pz8fgYGBorTAwEDk5+dXW35ycjKKiopM27lz51StPxERUX21dOlSTJo0CRMmTECXLl2Qnp4OLy8vrFq1Sjb/wIED8eijj6Jz587o0KEDnn/+eURGRmLPnj0AbveapKWlYebMmRg2bBgiIyOxbt06XLx4EVu3blVcL4c3TsLDw5GTk4N9+/bhueeeQ0JCAn777TfVynd3dzdNuK3aiIiInIlgY6/JnXf7mE9lKCsrkz1meXk5srOzRSMSWq0WcXFxNY5I/FVnARkZGTh58iT69+8PADhz5gzy8/NFZfr5+SEmJkZRmaZ6KM5pJ25ubujYsSN69uyJ1NRUREVFYdmyZbJ5g4KCUFBQIEorKChAUFBQXVSViIjILtSYEGuEBnq9XjSVwc/PD6mpqbLHvHLlCgwGg8UjEkVFRfDx8YGbmxsefvhhLF++HA888AAAmPaztExzThfnxGg0VtvKi42NRUZGBqZNm2ZK27lzZ7VzVIiIiOoD4Y6eD1vK8Pb2Rl5enijd3d3dpnLNNWnSBDk5OSgpKUFGRgaSkpLQvn17DBw4ULVjOLRxkpycjKFDh6JNmza4ceMGNmzYgMzMTNPEmnHjxqFVq1amVt/zzz+PAQMGYMmSJXj44YexceNGHDhwAO+//74jT4NU0qaRYxb6u268KXp8xSBdqO2SwUuSlm+QLtZ3saKNeL9y6TDi1QpvaR3KpWmF5R6SNPMF/G7JLN5XWi5Nk1usr7JCuqif+cJ8xkqZzlW5hecMMn9UZRb105i/tDJ5ZBfvU1IWAMkabjL10lZK99OW116+Jlr6o+nvoQdFjwtkFmu8JnNtb1RKvyxKDTLX0iD9E11plLmWMmlyt5Uq/fJT85ZUWxbOk1vQT478AoHK8mlqWQyw0iD9nDg7pdMX/P39odPpLB6R0Gq16NixIwAgOjoax48fR2pqKgYOHGjar6CgAMHBwaIyo6OjFZ+DQ4d1Ll26hHHjxiE8PByDBw/GL7/8gh07dpi6h3Jzc0UtwL59+2LDhg14//33ERUVhS+++AJbt25Ft27dHHUKRERENhNwO06JrZsl3Nzc0LNnT2RkZJjSjEYjMjIyLBqRuHPEo127dggKChKVWVxcjH379llUpkN7Tj766KMan8/MzJSkjRo1CqNGjbJTjYiIiOqeANvXxpHpTKxVUlISEhIS0KtXL/Tp0wdpaWnQ6/WYMGECAOkIRmpqKnr16oUOHTqgrKwM27Ztw/r167Fy5UoAgEajwbRp0zB//nx06tQJ7dq1w+uvv46QkBAMHz5ccb2cbs4JERFRQ6PWnBNLjR49GpcvX8asWbOQn5+P6OhobN++3TShNTc3F1rtX4Mser0eU6ZMwfnz5+Hp6YmIiAh8/PHHGD16tCnPjBkzoNfrMXnyZBQWFuLee+/F9u3b4eEhHaquDhsnREREDVhiYiISExNlnzMfwZg/fz7mz59fY3kajQZz587F3Llzra4TGydEREQOJsD2iciutLYOGydEREQOpsawjq1zVpwJGydEREROwOaeD/acEBERkVqMavScWLHwn7NyePh6IiIiojux54SIiMjRBECwsefD1v2dCRsn1KBs1ktD5AfpxKGLjDIdioVGafj6IpmQ9iUGD7PH0jDlNyql9/qXmIWlB4BbldJw5mUV4o9seYVMeHOFoerlQtNLwtDLhI2XC1WvkQtDL5tWex7ZiOUyafL5NBbnAeRD4TfSix8XFUjfOwVtxWHC27hfleQpM0qv0S2ZUPVKyXX9y81VqBScN6S9UnKh5eUICvPJhcOXC2kv3PEtb5BZGsAe1AjCJnBCLBEREamlKny9TWW40IRYzjkhIiIip8KeEyIiIgdjnBMxRY2Tw4cPW1xwly5d0KgR2z5ERERKcELsXxS1HqKjo6HRaESThGqi1Wrx+++/o3379jZVjoiIqCEQBAZhu5Piro19+/ahZcuWteYTBAHdunWzqVJERETUcClqnAwYMAAdO3ZE06ZNFRXav39/eHp62lIvIiKiBkOdu3VUqowTUNQ42bVrl0WFbtu2zarKEBERNUSCoDzmTHVs3d+ZcMYqNSgjvW/IpIrvqD9dWSLJoZcJklZqlAbSKqoU9xgWVkgDtRWWSXsVi8qlgdlulsscs1z8ka2slAZXUxpwDTLB1MwDrMkFV9PI7CcJrgYoDnYmyWPLrz+znWUuEdBYegCDTEdvWfPaD7c7v6PocQ9/6XW8XCoN3nZTJsBeqUH651guAJhccDW5fEp/hcsHdVO0ax2QeQ/JnJZBZk+twjeSXKC3O/etNEo/T3ahRoRYdWriFCxunAiCgC+++AK7du3CpUuXYDSK/9p8+eWXqlWOiIiIGh6LGyfTpk3Dv/71LwwaNAiBgYHQyDVjiYiISDE15pw0yLt1qqxfvx5ffvklHnroIXvUh4iIqOFR4VZiVwpfb3HjxM/Pj/FLiIiIVCTA9jkjrjTnxOK1dWbPno05c+bg1q1b9qgPERERNXAW95z8/e9/x6effoqAgACEhYWhcWPxrPODBw+qVjkiIqKGgKsSi1ncOElISEB2djaefPJJToglIiJSA8d1RCxunHz77bfYsWMH7r33XnvUh4iIqAFSoedEpZo4A4sbJ6GhofD19bVHXeqUrqkfdBppkCs1aNztUy4AQIVlAYx+3orzlreUBhEzpw+Ri3QFlLQWf9BudiwXPX6q58+K61GXdDIfcb3RXZJ2pVIaXKugTPzZuHhT+lkpvCW9hvoy6XumokL68awsFweEEgwywbcqFQZOk0kzD5ImF4RN7i+g0nzmaUoDrsn+zZaZMSdoxQUKjWQOIJfWWBodTtNInNbYXRrq62a5+L1/6EprSR6dVkHkuWrIfVnJB01Tms/qqsAoExDN3rQybyKl56C0vnITL++8YnUVdVVQIQibK7VOLJ4Qu2TJEsyYMQNnz561Q3WIiIioobO45+TJJ5/EzZs30aFDB3h5eUkmxF67dk21yhERETUIjHMiYnHjJC0tzQ7VICIiasg0tkd4bciNk4SEBHvUg4iIqMFSY86JtfuvWLECixcvRn5+PqKiorB8+XL06dNHNu8HH3yAdevW4ejRowCAnj174s033xTlHz9+PNauXSvaLz4+Htu3b1dcJ4sbJ7m5uTU+36ZNG0uLJCIiIgfYtGkTkpKSkJ6ejpiYGKSlpSE+Ph4nT55EQECAJH9mZibGjh2Lvn37wsPDAwsXLsSDDz6IY8eOoVWrVqZ8Q4YMwerVq02P3d2lNxXUxOLGSVhYWI2xTQwGucWriYiIqEYOuNtm6dKlmDRpEiZMmAAASE9Px7fffotVq1bhlVdekeT/5JNPRI8//PBDbN68GRkZGRg3bpwp3d3dHUFBQVbXy+LGyaFDh0SPKyoqcOjQISxduhRvvPGG1RUhIiJqsFScEFtcXCxKd3d3l+25KC8vR3Z2NpKTk01pWq0WcXFxyMrKUnTMmzdvoqKiAs2bNxelZ2ZmIiAgAM2aNcP999+P+fPno0WLForPxeLGSVRUlCStV69eCAkJweLFizFixAhLiyQiIiIV4pzo9Xr4+fmJklNSUjB79mxJ9itXrsBgMCAwMFCUHhgYiBMnTig65Msvv4yQkBDExcWZ0oYMGYIRI0agXbt2OH36NF599VUMHToUWVlZ0Ol0NZT2F4sbJ9UJDw/HL7/8olZxdqdp4g2N1rIxMMW8bA+UVh2Dn+1ll/l7KM6rD6z9jaQPkW/t3woWD/H5ttCLnzeKA4+drbwhehzWSBrkzB7KhArR40KjNKjc5UppMLU/bzWXpJ25IU67WiINeFd6SxpwzVAuF0xNmqYxD7AmE0hNKxdwTWngNPMgbAoCqd0uSy5f7fWwJQiboJMLpibOKMgdwE1aWa2bdDi6UWNxWqNGtQ9ZlxuknxedUXodtQpPXGkAMLUDkznLLalyb1GltApfFLnX5M4r5iyvhVLe3t7Iy8sTpVk630OpBQsWYOPGjcjMzISHx1/fK2PGjDH9v3v37oiMjESHDh2QmZmJwYMHKyrb4saJeXeRIAjIy8vD7Nmz0alTJ0uLIyIiavAEQb2F/5RGcff394dOp0NBQYEovaCgoNb5Im+99RYWLFiA77//HpGRkTXmbd++Pfz9/XHq1Cn7NU6aNm0qmRArCAJCQ0OxceNGS4sjIiIioM4X/nNzc0PPnj2RkZGB4cOHAwCMRiMyMjKQmJhY7X6LFi3CG2+8gR07dqBXr161Huf8+fO4evUqgoODFdfN4sbJrl27RI+1Wi1atmyJjh07olEjy4pLTU3Fl19+iRMnTsDT0xN9+/bFwoULER4eXu0+a9asMc0qruLu7o7S0lKLjk1ERORc6n4IKSkpCQkJCejVqxf69OmDtLQ06PV60/fsuHHj0KpVK6SmpgIAFi5ciFmzZmHDhg0ICwtDfn4+AMDHxwc+Pj4oKSnBnDlzMHLkSAQFBeH06dOYMWMGOnbsiPj4eMX1srhxMmDAAEt3qdbu3bsxdepU9O7dG5WVlXj11Vfx4IMP4rfffoO3d/WL0/n6+uLkyZOmxzXd2kxERETyRo8ejcuXL2PWrFnIz89HdHQ0tm/fbpokm5ubC632r1k4K1euRHl5OR577DFROVWTbnU6HQ4fPoy1a9eisLAQISEhePDBBzFv3jyL5r4oapx8/fXXGDp0qGQdneps27YNgwYNgmctK+iaR4tbs2YNAgICkJ2djf79+1e7n0ajsen+aSIiIqciwGGrCicmJlY7jJOZmSl6XNuiv56entixY4fNdVK0KvGjjz6KwsJCxYWOGTNGMltYiaKiIgCQ3C9trqSkBG3btkVoaCiGDRuGY8eOVZu3rKwMxcXFoo2IiMipCCptLkJRz4kgCBg/frziLhlr5n8YjUZMmzYN/fr1Q7du3arNFx4ejlWrViEyMhJFRUV466230LdvXxw7dgytW7eW5E9NTcWcOXMsrg8REVHd4cJ/d1LUOLF0sb8nnnhC8a1MVaZOnYqjR49iz549NeaLjY1FbGys6XHfvn3RuXNn/Otf/8K8efMk+ZOTk5GUlGR6XFxcjNDQUMDTE9DZ595vg6/yOCKWKveTxsiwVJmfsiA4AFDuW/ubvdJLPl1oLG7GV1SKj/vHjZaix5826il63MPrrOhxROOrosf+WvEwo5dW+tpozToHjeaBPGTSmmgrJXluGqVln7geKEnLvywOfiTclPmIycQ00cqF0JAJ8iCJJ6I0DolsPivjkCguXyafXDwUK8sXtNL6m6+eYZT5KOo8pNfX3b1CktZIJ66sViuthJJ4JXLhNgwKv0TqIi6J0lgq9ib3Wio9L43MvkpfO7l4KHfuW9/inLgKRY2TOxfvsYfExER88803+OGHH2R7P2rSuHFj9OjRA6dOnZJ9vrqwvURERM5CjVWJXWlYR9GcE3sRBAGJiYnYsmUL/v3vf6Ndu3YWl2EwGHDkyBGL7p8mIiJyOpxzYqJa+HprTJ06FRs2bMBXX32FJk2amO6X9vPzM93pY36P9dy5c3HPPfegY8eOKCwsxOLFi/Hnn3/imWeecdh5EBER2URQYc6JA+Kk2ItDGycrV64EAAwcOFCUvnr1aowfPx6A9B7r69evY9KkScjPz0ezZs3Qs2dP7N27F126dKmrahMREalKA+VrTVWLPSfqEBQMsJnfY/3222/j7bfftlONiIiIyNEc2jhxJKN7Yxh1yoLKWcrgYb+X1eBh+zShSgtuJjIoeImEaqpk/iugokJ8t86lmz6ix0cbhYge3zSI75A55y6+Wyek8XXR4xa6EkkdWmhvih7766SVbaYV327UoZF0AnVznV6SlvdnC0la4yvia6+pfSHb6jmih1bBLy/Fv+6U3HUjc/eO3J1LGukNNpC5qUryXixpJq1EQLMbkjS5O0XM72KRu2tDmkdap/p4x43NEzNrIRfU25ZzUPpXUeldPXfewVNnnRFqzBlp6D0nGRkZyMjIwKVLl2A0iv+6rFq1SpWKERERNRgCGOfkDhY3TubMmYO5c+eiV69eCA4O5ro2REREamDPiYnFjZP09HSsWbMGTz31lD3qQ0RERA2cxY2T8vJy9O3b1x51qVNCYy0EnfJIqZYwutmnXAAwuNk+58TYSHlvl2DLqRjExzGUiwsrviWe/JKnE0cVNppNICgxiOeCXHFrInoc2LhIUoVQs6iyjTXXJXmaKXhJT9ySxtFpni39+FSYRcs1ysT/M8p86mTn7cikSXptnXReClDN3BSzOSZyEWPl5unIzS/RyayS4VEoPmhJmPQF6uF/XpJWUCqNaF1cLr54ZQbphSuvFKcpjfyqdH6J0nkY9p4jojZb6qt0vorSiLO1zUNROmfIZi4Wp8RWFn/TPfPMM9iwYYM96kJERNRwMQibicU9J6WlpXj//ffx/fffIzIyEo0bi2/nWLp0qWqVIyIiahDUCMLWkCfEHj58GNHR0QCAo0ePip7j5FgiIiKylcWNk127dtmjHnVOaKSF0Mg+SwsZG9uvkWZ0s71suTkP1VJyuGq6EjWVZjEgzOKclJaKe92umcUbqTSbiHGzUpy/0F2c/7q7t6QOerNJH41lJjQEmk1e8NRIJ4p8c6arJM2rUnriGvMXTOkKu9IkZeR2rOe/EWQXS5Y7J7l8Zh9p3S3pZ/xGhTTQTzO3m5K0SqO2xseA3HwFaaWUxEe5nU+SpJgrrJwrN/dDjtzrZEvclNq+BerqtVUjQqzNEWadiE3Rws6fvz2xzNKVhImIiOgODMImYnHXgdFoxNy5c+Hn54e2bduibdu2aNq0KebNmycJyEZERERkKYt7Tl577TV89NFHWLBgAfr16wcA2LNnD2bPno3S0lK88cYbqleSiIiIGg6LGydr167Fhx9+iL/97W+mtMjISLRq1QpTpkypN40TY2MtjPaac6JCLJJqy1Zh2R6LYpcoGG6Vi1UBABqzOCdCmfh1MWjFJ6M3G9utqBRX9FaFeM5JUbl47kBhuaekDiWV4vV5dDKLuUQ0PiF6vPpGB0meihN+kjSjzOso6VW1ZbhabmzdPItc+c48D0VJnBYFc0kAwCiz7lOlh3jnxsXSPFfKpHOTYpufkaSZz00phkzQGvM6yVRe6fwSW+Y21Lc5J3LzS2w7B2XjGbbESLE7QYU5J+rUxClY/FV37do1RERESNIjIiJw7do1VSpFRETU4Nh8K7E61XAGFv/Ej4qKwrvvvitJf/fddxEVFaVKpYiIiBoUNQKwuVDjxOKek0WLFuHhhx/G999/j9jYWABAVlYWzp07h23btqleQSIiImpYLG6cDBgwAL///jtWrFiBEyduj9WPGDECU6ZMQUhIiOoVtBehsR3jnFiwdo2lDCrEULFpvRwZ1c45qRA/1poN+BrNKlJpFhfFUC6+PuVl4kkGJW7iOQCFjaVzTq6WimOhFFVI8zRvpBc9/uLC3ZI8HlckSTBIi4Jg9olSHLPDWdn5l5jsayH3sZT5S2WQe23Fyy3JrslTWCq9cI1lMpabTSqqkJlkVGkwm0clEwvFaHTMejvOQukaN0opna8in0/ZMURr69Tl681biU2sml4ZEhJSbya+EhEROTuNGhNiG1rj5PDhw+jWrRu0Wi0OHz5cY97IyEhVKkZERNSguFDjwlaKGifR0dHIz89HQEAAoqOjodFoIMj0j2k0GhgMMuudExERUfUYIVZEUePkzJkzaNmypen/rsDYyH5xTgxuteexlvmcBqvKUHkItbo5J9oKszgn5h8c8zgo5mvx6MzG882G/CsbiV+MMp30k1msE885yXOTxiv57Uqg6HHRdWkcDHfpbtDdkqZZG8fD7hwQ+0TufaZoqSa5+DEK56FUii83KvykJ+4rU7GcojaStHy9eAJLWaX0gOZzTpSuo6OULevtOIp5LBFbzl/t+SpyapubUh+vgaVWrFiBxYsXIz8/H1FRUVi+fDn69Okjm/eDDz7AunXrTAv/9uzZE2+++aYovyAISElJwQcffIDCwkL069cPK1euRKdOnRTXSdG3c9u2bU0rDv/5559o1aqVKXR91daqVSv8+eefig9MREREf6mad2LLZqlNmzYhKSkJKSkpOHjwIKKiohAfH49Lly7J5s/MzMTYsWOxa9cuZGVlITQ0FA8++CAuXLhgyrNo0SK88847SE9Px759++Dt7Y34+HiUlpbKlinH4q6DQYMGyQZbKyoqwqBBgywtjoiIiASNOpuFli5dikmTJmHChAno0qUL0tPT4eXlhVWrVsnm/+STTzBlyhRER0cjIiICH374IYxGIzIyMm6fhiAgLS0NM2fOxLBhwxAZGYl169bh4sWL2Lp1q+J6Wdw4EQTB1Ityp6tXr8LbW9odTkRERLVQMQhbcXGxaCsrK5M9ZHl5ObKzsxEXF2dK02q1iIuLQ1ZWlqJq37x5ExUVFWjevDmA21M/8vPzRWX6+fkhJiZGcZmABbcSjxgxAsDtSa/jx4+Hu/tfMSYMBgMOHz6Mvn37Kj6wowmoZ/EmGgDzLknJ2LLZ4K/GLH6E7BwHszRDuXRCww2zgCVCmTSP3Dwi2bk21i7M7Yi5KY5YPkTJnBw5CuPFGN3MH0svSKFeJkCNjAqjeQwT+16QhjC3gexPr9fDz088SS4lJQWzZ8+W5L1y5QoMBgMCA8Xz7gIDA01xzGrz8ssvIyQkxNQYyc/PN5VhXmbVc0oobpxUnawgCGjSpAk8Pf/6gLu5ueGee+7BpEmTFB+YiIiIbtNAnTgl3t7eyMvLE6Xd2ZmgpgULFmDjxo3IzMyEh4dH7TtYQHHjZPXq1QCAsLAwvPTSSxzCISIiUouKtxL7+voqyu7v7w+dToeCggJRekFBAYKCgmrc96233sKCBQvw/fffi+KbVe1XUFCA4OBgUZnR0dGK6gVYMeckJSWFDRMiIiKV1fXdOm5ubujZs6dpMisA0+TWqrXz5CxatAjz5s3D9u3b0atXL9Fz7dq1Q1BQkKjM4uJi7Nu3r8YyzSnqObn77ruRkZGBZs2aoUePHrITYqscPHhQ8cHJQepork1tc0g0ZoPstT9vdgDzOQBy8xJqqRMAGM3iV2gqpAUJMjFU5NZQ0pjFIKz34aSdZF6WXJwTuXgoxsZmL7jMdauokJl3VCrt9tZpxfNVlMTXUBrTw5Xnl5ifWw1fF+QEkpKSkJCQgF69eqFPnz5IS0uDXq/HhAkTAADjxo1Dq1atkJqaCgBYuHAhZs2ahQ0bNiAsLMw0j8THxwc+Pj7QaDSYNm0a5s+fj06dOqFdu3Z4/fXXERISguHDhyuul6LGybBhw0xjVpYUTkRERAo4KELs6NGjcfnyZcyaNQv5+fmIjo7G9u3bTRNac3NzodX+9etg5cqVKC8vx2OPPSYq585JtzNmzIBer8fkyZNRWFiIe++9F9u3b7doXopGkItD78KKi4vh5+eHvnFz0KixuhN4qpQ1U3nZ3zuU+9oe1bbCglE5g4KXyFDNXCvzX7ZG8xV7G5n1jJjlN++tkPRemL0Ucr0b0Jrd4aOVyWP+a7dU+hrr9DJpZY7vObH7HWdO8qtXac+JwV38ghu9pctp6PzKJWkeHhXSfOw5UYUtPSdyEWKVH1fZvrXlM9wsw7HRi1FUVKR4LoelRowYgR/LBDSL7W9TOaUXzqF088fVBlCrTyz+pjt37hzOnz9verx//35MmzYN77//vqoVIyIiaijUmG/iJL8lVGHxSi2PP/44Jk+ejKeeesoUaKVbt2745JNPkJ+fj1mzZtmjnvULB1mVqe2HjfnztTyWizsimH1cBZlYFZL95OJZyP1yl0kzL0t2SRsbfjU3hNg8sr0ksj0nMi+keZpcLJRKaWEVldJuGKPWbA5UvZ9AVP/I9UTZ0psiR65HjNfa8SzuOTl69KhpgZ/PPvsM3bt3x969e/HJJ59gzZo1atePiIiIGhiLe04qKipMk2O///57/O1vfwMARERESAK/EBERkQIOmhDrrCzuOenatSvS09Px448/YufOnRgyZAgA4OLFi2jRooXqFSQiInJ1VRFi63pVYmdlcc/JwoUL8eijj2Lx4sVISEhAVFQUAODrr782DfdQA6P0A2HpHBPJ8zWvtSM3IUNjVFA5szkmsmvmyJGLq2LW3JefB+PE6nhOi+wcGgWva7VpCuovN+/IaJCbdyBOk/slx7kJtZO7M6kupuVxLkn9ZnHjZODAgbhy5QqKi4vRrFkzU/rkyZPh5eWlauWIiIgaBA7riFjcOAEAnU6HyspK7NmzBwAQHh6OsLAwNetFRETUsLBxYmLxnBO9Xo+nn34awcHB6N+/P/r374+QkBBMnDgRN2/etKis1NRU9O7dG02aNEFAQACGDx+OkydP1rrf559/joiICHh4eKB79+7Ytm2bpadBRETkPBjnRMTixklSUhJ2796N//3f/0VhYSEKCwvx1VdfYffu3XjxxRctKmv37t2YOnUqfv75Z+zcuRMVFRV48MEHodfrq91n7969GDt2LCZOnIhDhw5h+PDhGD58OI4ePWrZiWjsuNFtgtlm4fO1TvxStGnEm1Fug3hTenoa6aYI3zN/kXktZF9XNT97Mu8TwaiV2TTiTVBvk62WiuXbWhdyEMV/12rYXITF4ev9/f3xxRdfYODAgaL0Xbt24e9//zsuX75sdWUuX76MgIAA7N69G/37y4fxHT16NPR6Pb755htT2j333IPo6Gikp6fXegxT+PoH7Bm+3qrRMkXKm9j+x0T18PVu8um1hq83D09v/rKZhZo3nwApmIeil52xaF4pmTxmDRKNzORIrcxigHILBGorzfIobew4yx+Vup4QqzjgmkxaI+mLZr7wn+AhcwHcZULau0nz6RqJ82lllj6wdoKl3H6Oaig4YpJofQppX1fh63/SC2jex8bw9XnnoP+6gYavv3nzpmlBoDsFBARYPKxjrqioCADQvHnzavNkZWUhLi5OlBYfH4+srCzZ/GVlZSguLhZtREREzkSV24id5UeOCixunMTGxiIlJQWlpaWmtFu3bmHOnDmIjY21uiJGoxHTpk1Dv3790K1bt2rz5efnSxpHgYGBpmWbzaWmpsLPz8+0hYaGWl1HIiIiu1BjSMeFGicWjz8sW7YM8fHxaN26tSnGya+//goPDw/s2LHD6opMnToVR48eNd0BpJbk5GQkJSWZHhcXF7OBYskbWMGwRLVDF2Zdt1qz3nRjLWMugs4s/oh5vc0fS3vrlQ3rmO8iM6yjeC6KeSgWmaKcJtSCnUcRFMUwURzTRGYYxOphPJk4J5VylRWPJRm10jeBZKhH4WtaF0MpiqfgqDycpOTclE4mkCvLoLC+skNHCtfqufM1MRptXwleMVvfFs7yt0UFFjdOunXrhj/++AOffPIJTpw4AQAYO3YsnnjiCXh6elpVicTERHzzzTf44Ycf0Lp16xrzBgUFoaCgQJRWUFCAoKAg2fzu7u6mcPtERETk/Kyauenl5YVJkybZfHBBEPCPf/wDW7ZsQWZmJtq1a1frPrGxscjIyMC0adNMaTt37rRpSImIiMihBNt7VV3p3iurGicnT57E8uXLcfz4cQBA586dkZiYiIiICIvKmTp1KjZs2ICvvvoKTZo0Mc0b8fPzM/XCjBs3Dq1atUJqaioA4Pnnn8eAAQOwZMkSPPzww9i4cSMOHDiA999/35pTISIicg4c1jGxeDBt8+bN6NatG7KzsxEVFYWoqCgcPHgQ3bt3x+bNmy0qa+XKlSgqKsLAgQMRHBxs2jZt2mTKk5ubK1rtuG/fvtiwYQPef/99REVF4YsvvsDWrVtrnERLRETk1DghVsTinpMZM2YgOTkZc+fOFaWnpKRgxowZGDlypOKylIRYyczMlKSNGjUKo0aNUnwcIiIiqj8sbpzk5eVh3LhxkvQnn3wSixcvVqVSdUKrub3VNyq0jC0Z11QSREwjd5eMAuY3P5ivFiuYl2t+J4x5v5+1l9P8hguFd3jIvjbWXh/ZOwusLMsBlK4uXOs1VLhftWnmZK6bUKmsw9hgtqK1RubvhVHB3Tqyd43IvMmUBwhTlE0x1e8csrKCsvVQemeODceQ3jVoFoRN5j1kDxqoMOekHv3NqI3FwzoDBw7Ejz/+KEnfs2cP7rvvPlUqRURE1KBwWEfE4p6Tv/3tb3j55ZeRnZ2Ne+65BwDw888/4/PPP8ecOXPw9ddfi/ISERFR7Xi3zl8sbpxMmTIFAPDee+/hvffek30OADQaDQwGK/v7iYiIqMGyuHFiNFqwbCsRERHVTo1hmYY8rENEREQqY+NEhI0TIiIiB9PA9jkjrjTnpA5XNCIiIiKqXYPtORE0im+hdy5qxDmxYJ6yttL64wjmcUzMjiuJcVHb8+blm8dTsDYWhqRghWlyh7P2+tSj7lhrY5rI7StflsIXQ8l1kllhWvYtIbPyrOT9p5NZvda8rrLvWZmKysZDUZZPjuJYJYrLU5ZPfmfr3sx1EefFmtfJYOCqxI7QYBsnREREzkKjwsJ/rtQ4sbhJeP/992POnDmS9OvXr+P+++9XpVJEREQNjoMCsK1YsQJhYWHw8PBATEwM9u/fX23eY8eOYeTIkQgLC4NGo0FaWpokz+zZs6HRaESbpQsDW9w4yczMxLvvvovhw4dDr9eb0svLy7F7925LiyMiIiIHRYjdtGkTkpKSkJKSgoMHDyIqKgrx8fG4dOmSbP6bN2+iffv2WLBgAYKCgqott2vXrsjLyzNte/bssaheVg2mff/998jPz8c999yDs2fPWlMEERER2UFxcbFoKysrqzbv0qVLMWnSJEyYMAFdunRBeno6vLy8sGrVKtn8vXv3xuLFizFmzBi4u7tXW26jRo0QFBRk2vz9/S06B6saJ8HBwdi9eze6d++O3r17y64cTERERMpVzTuxZdPr9fDz8xNtqampsscrLy9HdnY24uLiTGlarRZxcXHIysqy6Vz++OMPhISEoH379njiiSeQm5tr0f4WT4jV/HeqtLu7OzZs2ID58+djyJAhePnlly0tioiIiADVgrB5e3sjLy9PlFxdD8eVK1dgMBgQGBgoSg8MDMSJEyesrkZMTAzWrFmD8PBw5OXlYc6cObjvvvtw9OhRNGnSRFEZFjdOBEH86s2cOROdO3dGQkKCpUURERER1Llbp2p/X19f2ytkg6FDh5r+HxkZiZiYGLRt2xafffYZJk6cqKgMixsnZ86cQcuWLUVpI0eOREREBA4cOGBpcUREROQA/v7+0Ol0KCgoEKUXFBTUONnVUk2bNsVdd92FU6dOKd7H4jknbdu2NQ3t3Klr167sPSEiIrJWHd+p4+bmhp49eyIjI8OUZjQakZGRgdjYWFvORKSkpASnT59GcHCw4n0YhI2IiMjRVBzWsURSUhISEhLQq1cv9OnTB2lpadDr9ZgwYQIAYNy4cWjVqpVpUm15eTl+++030/8vXLiAnJwc+Pj4oGPHjgCAl156CY888gjatm2LixcvIiUlBTqdDmPHjlVcLzZOiIiInIEDIsSOHj0aly9fxqxZs5Cfn4/o6Ghs377dNEk2NzcXWu1fgywXL15Ejx49TI/feustvPXWWxgwYIDpzt3z589j7NixuHr1Klq2bIl7770XP//8s2RKSE0abuNEjSUgqyPY+g6rnsZoe6UtWVtHo2DgT1vN6da6lo75Oiu1PC/JX8vzsnnk1Mc1lqoorLvs6yB33RSUJ/frTPYtYG1ZcpWV+UxpjNJs5gfVyOwnyH2G5BZsMX9ja+X2q2UfKF8/SC6f7DoycvvKZLNtrSn11upRvJ6NleXb+xjGcp31ZdcTiYmJSExMlH3OPFRIWFiY5MYYcxs3brS5Tg23cUJEROQsVLqV2FWwcUJERORgGjhmzomzYuOEiIjI0dToOXEhVoWvJyIiIrIX9pwQERE5miDITuC2tAxXwcYJERGRM+CEWBM2ToiIiBxMzbV1XAHnnBAREZFTYc8JERGRM+CwjgkbJ0RERI6mxrCOOjVxCmycEBEROQP2nJiwcUJERORgnBArxgmxRERE5FTYc0JEROQMOKxjwsYJERGRg3FYR4yNEzuw5xtEa7C9cKFC+ZxuJedi1FW3s9lxzQcRzZ+vZX9J/lqeV5pHyRR3STnVUZJPYVmKjmlLvawsX65eskUZFJQnt6PMe05jlGaUrYdWMMsjzaSRGcyWLct8X9nXUMHxFL6Gsh82ta+v0j9OKr5HBZWPKft6KtvVqj/OxvLq/sCpTIBLhZ+3FeecEBERkVNhzwkREZETsLnX3YU6Xhzac/LDDz/gkUceQUhICDQaDbZu3Vpj/szMTGg0GsmWn59fNxUmIiKyB0GlzUU4tOdEr9cjKioKTz/9NEaMGKF4v5MnT8LX19f0OCAgwB7VIyIiqhMaAdAYbSzDxv2diUMbJ0OHDsXQoUMt3i8gIABNmzZVlLesrAxlZWWmx8XFxRYfj4iIiOpOvZwQGx0djeDgYDzwwAP46aefasybmpoKPz8/0xYaGlpHtSQiIrIAh3RM6lXjJDg4GOnp6di8eTM2b96M0NBQDBw4EAcPHqx2n+TkZBQVFZm2c+fO1WGNiYiIFBD+inViy+Yq6tXdOuHh4QgPDzc97tu3L06fPo23334b69evl93H3d0d7u7udVVFIiIiywmC7XFOXChOSr3qOZHTp08fnDp1ytHVICIiIpXUq54TOTk5OQgODnZ0NYiIiKymAcPX38mhjZOSkhJRr8eZM2eQk5OD5s2bo02bNkhOTsaFCxewbt06AEBaWhratWuHrl27orS0FB9++CH+/e9/4//+7/8cdQpERES2U2NSKxsn6jhw4AAGDRpkepyUlAQASEhIwJo1a5CXl4fc3FzT8+Xl5XjxxRdx4cIFeHl5ITIyEt9//72oDCIiovrI5p4TdarhFBw652TgwIEQBEGyrVmzBgCwZs0aZGZmmvLPmDEDp06dwq1bt3D16lXs2rWLDRMiIiIbrFixAmFhYfDw8EBMTAz2799fbd5jx45h5MiRCAsLg0ajQVpams1lyqn3E2KJiIjqvapViW3dLLRp0yYkJSUhJSUFBw8eRFRUFOLj43Hp0iXZ/Ddv3kT79u2xYMECBAUFqVKmHDZOiIiIHKxqQqxNMU6sGBZaunQpJk2ahAkTJqBLly5IT0+Hl5cXVq1aJZu/d+/eWLx4McaMGVNtmA5Ly5TDxgkREZGjqbjwX3FxsWi7cwmXO5WXlyM7OxtxcXGmNK1Wi7i4OGRlZVl1GmqVycYJERGRg6kRHVYj3F5Q984lW/z8/JCamip7zCtXrsBgMCAwMFCUHhgYiPz8fKvOQ60y632cEyIiIrrN29sbeXl5orT6GCWdjRMiIiJHEwTAqE74el9fX0XZ/f39odPpUFBQIEovKCiodrJrXZXZcBsndlzFUWOwT7lqla214GZ6Qaj9zvnq6iSYDxqaFSUp2sLna80vl0cmi6LgADJ5lBxPjtL9ZIuy4pyVliVbntJzVBhgQaOg/hqjgnrJlCWXqPT1UZRP5nMjmB1Pvk4Kj6f0wsmmKftMm9fXIgqrp+BPhvKAHrYE7lBr3zKdDQVZqI6DsLm5uaFnz57IyMjA8OHDAQBGoxEZGRlITEy0qgpqldlwGydERETOQoVVha3ZPykpCQkJCejVqxf69OmDtLQ06PV6TJgwAQAwbtw4tGrVyjRvpby8HL/99pvp/xcuXEBOTg58fHzQsWNHRWUqwcYJERFRAzV69GhcvnwZs2bNQn5+PqKjo7F9+3bThNbc3FxotX91g1+8eBE9evQwPX7rrbfw1ltvYcCAAaagqbWVqYRGEFxojWUFiouL4efnh9ghc9GosYddjlHpab+boCo9bA9QbLSgSSroaj+eZPimunQO69i0n1w+NcuSLU/F85bLp+qwi73Llx3WsbxO1R5PjurDOgqPq7Qu1h6jHg3rGG+V4twLr6OoqEjxXA5LjRgxAoePV6B123ttKudG0XmcO73JomBnzoo9J0RERA6mUWNYR52qOAU2ToiIiJwBVyU2YRA2IiIicirsOSEiInI0AdDYOAXU1mEhZ8LGCRERkaMJAGRi/FjE1v2dCBsnREREDqYRBJt7Tlxp0gnnnBAREZFTYc8JERGRM2DHiQkbJ0RERI4mwLRwn/VluE7rhI0TIiIiJ+CItXWcFeecEBERkVNhzwkREZGjCQKHde7AxgkREZGDaQRAY2OcElca1mHjhIiIyNE4IVaEjRMiIiJnwFuJTTghloiIiJwKe06IiIgcTI3w9ZxzQkRERCpS4W4dFxrXYeOEiIjI0YzgqsR3aLCNE41gvy4wjcF+rVdtpe1laASN4rxGY+3nIlQ3c8nsMIJGU8vzNe9fa35FdVAnT7VpZpSWJfsqW3F+lhxTTq3XwJJjylFQvuLXzNrztLqs2gtX871jUXkyiba8D5T+cbTmM2hRRZT/qZKw4M9czcct5dRMR2iwjRMiIiJnYvucEw7rEBERkVoYIVaEjRMiIiJnwAmxJhxMIyIiIqfCnhMiIiJHE8C7de7AxgkREZGDqRGEzYVGddg4ISIicgqcEGvCOSdERETkVBzaOPnhhx/wyCOPICQkBBqNBlu3bq11n8zMTNx9991wd3dHx44dsWbNGrvXk4iIyK6qbiW2ZbNyXGfFihUICwuDh4cHYmJisH///hrzf/7554iIiICHhwe6d++Obdu2iZ4fP348NBqNaBsyZIhFdXJo40Sv1yMqKgorVqxQlP/MmTN4+OGHMWjQIOTk5GDatGl45plnsGPHDjvXlIiIyI7UaJxYMayzadMmJCUlISUlBQcPHkRUVBTi4+Nx6dIl2fx79+7F2LFjMXHiRBw6dAjDhw/H8OHDcfToUVG+IUOGIC8vz7R9+umnFtXLoXNOhg4diqFDhyrOn56ejnbt2mHJkiUAgM6dO2PPnj14++23ER8fb69qEhER2ZeD7tZZunQpJk2ahAkTJgC4/T377bffYtWqVXjllVck+ZctW4YhQ4Zg+vTpAIB58+Zh586dePfdd5Genm7K5+7ujqCgIOvOA/VszklWVhbi4uJEafHx8cjKyqp2n7KyMhQXF4s2IiIiV2X+nVdWViabr7y8HNnZ2aLvVa1Wi7i4uGq/V5V+D2dmZiIgIADh4eF47rnncPXqVYvOoV41TvLz8xEYGChKCwwMRHFxMW7duiW7T2pqKvz8/ExbaGhoXVSViIjIIlW3E9uy6fV60Xeen58fUlNTZY935coVGAwG2e/V/Px82X2q+x6+M/+QIUOwbt06ZGRkYOHChdi9ezeGDh0Kg8Gg+LVw+VuJk5OTkZSUZHpcXFzMBgoRETkXNdbWAeDt7Y28vDxRmru7u83lWmLMmDGm/3fv3h2RkZHo0KEDMjMzMXjwYEVl1KvGSVBQEAoKCkRpBQUF8PX1haenp+w+7u7udX5hiIiILCIAMNrYOPnv/r6+voqy+/v7Q6fTyX6vVjdfpLrv4Zrml7Rv3x7+/v44deqU4sZJvRrWiY2NRUZGhiht586diI2NdVCNiIiIVOCAu3Xc3NzQs2dP0feq0WhERkZGtd+r1nwPnz9/HlevXkVwcLDiujm0cVJSUoKcnBzk5OQAuH2rcE5ODnJzcwHcHpIZN26cKf+zzz6L//znP5gxYwZOnDiB9957D5999hleeOEFR1SfiIioXktKSsIHH3yAtWvX4vjx43juueeg1+tNd++MGzcOycnJpvzPP/88tm/fjiVLluDEiROYPXs2Dhw4gMTERAC3v9enT5+On3/+GWfPnkVGRgaGDRuGjh07WnRXrUOHdQ4cOIBBgwaZHlfNDUlISMCaNWuQl5dnaqgAQLt27fDtt9/ihRdewLJly9C6dWt8+OGHvI2YiIjqPweErx89ejQuX76MWbNmIT8/H9HR0di+fbtp0mtubi602r/6Mfr27YsNGzZg5syZePXVV9GpUyds3boV3bp1AwDodDocPnwYa9euRWFhIUJCQvDggw9i3rx5Fk2x0AiCCwXjV6C4uBh+fn7oGz8XjRp72OUYle4au5QLAAYVyhZ0yssw6hSUV13/m9lhBI2mludr3r/W/IrqoE6eatPMKC1L9kNoxflZckw5tV4DS44pR0H5il8za89T5dfMqnKsvR51tC80yr4WrPkMWsSGfRW/J2s5rrG0FH8mv4aioiLFczksNWLECBz/oRBhTXvaVE5RWT5Ole2oNoBafVKvJsQSERG5JFUmxKpSE6dQrybEEhERketjzwkREZHDGQHBxq4PW/d3ImycEBEROZoAh0yIdVZsnBARETmaINg+58SFGiecc0JEREROhT0nREREjqbKsI4qNXEKbJwQERE5nAoL/7nQsA4bJ0RERI6m1oRY+8UArVOcc0JEREROhT0nREREjiYYAaMKcU5cpOeEjRMiIiJnwAmxJg2ucVK1zmFl2S3AYJ8raax2JTzbCZW2N4uNFlx1RadivqCfwmzmC3PVVkxt+ZUsdCaXxXxBQrl6WLuImtKyFL6EVi/Mp5Si11TBfoDCv5M2vBZqLsao6JjW5rHhfOTfrwqLs2WBQNkCFSVZzaaF+mQofh/VpqwMwF/fHXYjcELsnRpc4+TGjRsAgP2ZqQ6uCRER1Rc3btyAn5+fo6vRYDS4xklISAjOnTuHJk2aQPPfpnVxcTFCQ0Nx7tw5uy2JXRdc4Txc4RwAnoczcYVzAFzjPOrjOQiCgBs3biAkJMTOBwIjxN6hwTVOtFotWrduLfucr69vvfnA1MQVzsMVzgHgeTgTVzgHwDXOo76dQ530mAgCBBsX7rN1f2fS4BonRERETkeNtXVcp23CxgkREZHjcULsnRiEDYC7uztSUlLg7u7u6KrYxBXOwxXOAeB5OBNXOAfANc7DFc6B6oZGsPv9UURERFSdESNG4Pi2C2jr3tWmcooMV3Da62dcunRJpZo5Dod1iIiInAGHdUzYOCEiInIwQRAg2Bq+3tYJtU6Ec06IiIjIqbDnhIiIyNHUCF/vQovrNJiekzfeeAN9+/aFl5cXmjZtKptHo9FIto0bN9ZY7rVr1/DEE0/A19cXTZs2xcSJE1FSUmKHM1B2DlWuXr2K1q1bQ6PRoLCwsMa8YWFhkvNesGCBehU3Y6/zcKZrcfXqVQwZMgQhISFwd3dHaGgoEhMTUVxcXGO5znYtrD2PurwWQO3n8euvv2Ls2LEIDQ2Fp6cnOnfujGXLltVabl1eD3udg7NdCwD45z//iZ49e8Ld3R3R0dGKyh04cKDkWjz77LPqVdzRqiLE2rq5iAbTOCkvL8eoUaPw3HPP1Zhv9erVyMvLM23Dhw+vMf8TTzyBY8eOYefOnfjmm2/www8/YPLkySrW/C9KzwEAJk6ciMjISMVlz507V3Te//jHP2ypao3sdR7OdC20Wi2GDRuGr7/+Gr///jvWrFmD77//XtEfU2e6FtaeR11eC6D288jOzkZAQAA+/vhjHDt2DK+99hqSk5Px7rvv1lp2XV0Pe52Ds12LKk8//TRGjx5tUdmTJk0SXYtFixbZUlXnIhhV2FyncQKhgVm9erXg5+cn+xwAYcuWLYrL+u233wQAwi+//GJK++677wSNRiNcuHDBxppWr6ZzEARBeO+994QBAwYIGRkZAgDh+vXrNZbXtm1b4e2331a1jkqoeR7Oei3utGzZMqF169Y15nHWa3Gn2s7DUddCECw7jylTpgiDBg2qMY8jroea5+Ds1yIlJUWIiopSVN6AAQOE559/3uZ6OaNHH31UCNfdLTzo/rhN2z2NhwgtW7Z09OmoosH0nCg1depU+Pv7o0+fPli1alWNy2RnZWWhadOm6NWrlyktLi4OWq0W+/btq4vqSvz222+YO3cu1q1bB61W+eVdsGABWrRogR49emDx4sWorKy0Yy1rZ+l5OOO1uNPFixfx5ZdfYsCAAbXmdbZrcScl5+Hs16JKUVERmjdvXms+Z74etZ1DfbkWSn3yySfw9/dHt27dkJycjJs3bzq6SuoRAMEo2La5UM8JGyd3mDt3Lj777DPs3LkTI0eOxJQpU7B8+fJq8+fn5yMgIECU1qhRIzRv3hz5+fn2rq5EWVkZxo4di8WLF6NNmzaK9/vnP/+JjRs3YteuXfif//kfvPnmm5gxY4Yda1oza87D2a5FlbFjx8LLywutWrWCr68vPvzwwxrzO9u1qGLJeTjrtbjT3r17sWnTplqHN5z1egDKzqE+XAulHn/8cXz88cfYtWsXkpOTsX79ejz55JOOrpaKBHWGdqywYsUKhIWFwcPDAzExMdi/f3+N+T///HNERETAw8MD3bt3x7Zt28RnIgiYNWsWgoOD4enpibi4OPzxxx8W1aleN05eeeUV2Umsd24nTpxQXN7rr7+Ofv36oUePHnj55ZcxY8YMLF682I5noO45JCcno3PnzhZ/YJOSkjBw4EBERkbi2WefxZIlS7B8+XKUlZXVq/OwldrvJwB4++23cfDgQXz11Vc4ffo0kpKSaszvbNfC2vNQgz3OAwCOHj2KYcOGISUlBQ8++GCNeW29Hs5wDmqw13lYYvLkyYiPj0f37t3xxBNPYN26ddiyZQtOnz5t1+PWFUGwsdfkv5ulNm3ahKSkJKSkpODgwYOIiopCfHx8tVFm9+7di7Fjx2LixIk4dOgQhg8fjuHDh+Po0aOmPIsWLcI777yD9PR07Nu3D97e3oiPj0dpaanietXrW4lffPFFjB8/vsY87du3t7r8mJgYzJs3D2VlZbJrQQQFBUkuYGVlJa5du4agoCBFx1DzHP7973/jyJEj+OKLLwDA1MXn7++P1157DXPmzFFUTkxMDCorK3H27FmEh4cr2sfR5+Fs1+LOegUFBSEiIgLNmzfHfffdh9dffx3BwcGK9nf0tahiyXmocS0A+5zHb7/9hsGDB2Py5MmYOXOmRfsCll8PR5+DM18LW8XExAAATp06hQ4dOtTpsV3J0qVLMWnSJEyYMAEAkJ6ejm+//RarVq3CK6+8Ism/bNkyDBkyBNOnTwcAzJs3Dzt37sS7776L9PR0CIKAtLQ0zJw5E8OGDQMArFu3DoGBgdi6dSvGjBmjqF71unHSsmVLtGzZ0m7l5+TkoFmzZtUuUhUbG4vCwkJkZ2ejZ8+eAG5/sRqNRtMHpzZqnsPmzZtx69Yt0+NffvkFTz/9NH788UeLPrw5OTnQarWS7uCaOPo8nO1ayDH+N/qjJb0gjr4Wcmo7DzWuBaD+eRw7dgz3338/EhIS8MYbb1hVhqXXw9Hn4KzXQg05OTkAoLih78z2bNmHpvAHYFuEWEEwoPBykeRWf3d3d9nvsfLycmRnZyM5OdmUptVqERcXh6ysLNljZGVlSXpO4+PjsXXrVgDAmTNnkJ+fj7i4ONPzfn5+iImJQVZWVsNonFgiNzcX165dQ25uLgwGg+mN3bFjR/j4+OB///d/UVBQgHvuuQceHh7YuXMn3nzzTbz00kumMvbv349x48YhIyMDrVq1QufOnTFkyBBMmjQJ6enpqKioQGJiIsaMGYOQkJA6PwfzL+4rV64AADp37myKN2B+DllZWdi3bx8GDRqEJk2aICsrCy+88AKefPJJNGvWTPVzsNd5ONu12LZtGwoKCtC7d2/4+Pjg2LFjmD59Ovr164ewsDDZc3DGa2HNedT1tVByHkePHsX999+P+Ph4JCUlmeZb6HQ605euo6+HPc7BGa8FcLu3o6SkBPn5+bh165YpT5cuXeDm5oYLFy5g8ODBWLduHfr06YPTp09jw4YNeOihh9CiRQscPnwYL7zwAvr3729RyARn1RT+yMOfaCN0gkajsbqciziLxnCHn5+fKD0lJQWzZ8+W5L9y5QoMBgMCAwNF6YGBgdUO0+Xn58vmr3o/Vv1bUx5FHHinUJ1KSEgQcDvMjWjbtWuXIAi3b6+Ljo4WfHx8BG9vbyEqKkpIT08XDAaDqYxdu3YJAIQzZ86Y0q5evSqMHTtW8PHxEXx9fYUJEyYIN27ccMg5mKuq75234JqfQ3Z2thATEyP4+fkJHh4eQufOnYU333xTKC0ttcs52Os8BMG5rsW///1vITY21vS6durUSXj55Zfr3bWw5jwEoW6vhZLzSElJkX2+bdu21Z5HXV8Pe5yDIDjftRCE27cFy+WpqveZM2dE++Tm5gr9+/cXmjdvLri7uwsdO3YUpk+fLhQVFdntPOpSaWmp4AlvoQt6CXGax6za7sGDghZa4ejRo0JRUZFoq+49e+HCBQGAsHfvXlH69OnThT59+sju07hxY2HDhg2itBUrVggBAQGCIAjCTz/9JAAQLl68KMozatQo4e9//7vi10QjCC507xEREVE9tHHjRowfOwF9MQQ6jeWDGjnCT/CAF84JpxTvU15eDi8vL3zxxReigKMJCQkoLCzEV199JdmnTZs2SEpKwrRp00xpKSkp2Lp1K3799Vf85z//QYcOHXDo0CFR9N8BAwYgOjpaUVRjoJ7frUNEROQKRo8eDXd4IheW3XILANeES7iOyzh4SX6eSHXc3NzQs2dPZGRkmNKMRiMyMjIQGxsru09sbKwoPwDs3LnTlL9du3YICgoS5SkuLsa+ffuqLVMOGydEREQOptFo8L+7t+IsTqJcUH7LrSAIOIUjCEO4VZOWk5KS8MEHH2Dt2rU4fvw4nnvuOej1etPdO+PGjRNNmH3++eexfft2LFmyBCdOnMDs2bNx4MABJCYmms5j2rRpmD9/Pr7++mscOXIE48aNQ0hISK3LwdypwUyIJSIicmb9+/dHM7TEf3AcEeihaJ8CnEMZSnFYX3PgtOqMHj0aly9fxqxZs5Cfn4/o6Ghs377dNKE1NzdXFKW7b9++2LBhA2bOnIlXX30VnTp1wtatW9GtWzdTnhkzZkCv12Py5MkoLCzEvffei+3bt8PDw0NxvTjnhIiIyEkcP34c3bp0QwwegLemSY15jYIBe7EDK1evqDUOTX3DxgkREZETaa3pgHKUIkrTt8Z8fwq/Iw9/orDyKnQ6XR3Vrm5wzgkREZETOZD3E67hEgqFK9XmqRDKcQbHsXnHZy7XMAHYc0JEROR0Omi64iry0QuDZAOz/S78ihIU46pQvxZwVIo9J0RERE7mcMl+3MJNXMIFyXO3BD3O4zT+nbPDATWrG2ycELmY8ePH13rLXmZmJjQaDQoLC+1al4EDB5pWra0KUW5PYWFhpuPZ+9yI7Mnb2xsrPliOUzgCoyBec+cUjiIQoYiKinJQ7eyPwzpELqaoqAiCIJjWIRo4cCCio6ORlpZmylNeXo5r164hMDDQprU8ajNw4EDcddddmDt3Lvz9/dGokX2jF1y+fBk//vgjRo4cievXr5teA6L6yGAwwK9Rc7RCO7TRdAIAFAvXcAC78ee5s2jdurWDa2g/7DkhcjF+fn61fim7ubkhKCjIrg2TKl5eXggKCrJ7wwS4vXpu8+bN7X4corqg0+nw2bef4gyOo1KogCAI+B2H0QYdXbphArBxQmS1devWoUWLFigrKxOlDx8+HE899ZTsPmfPnoVGo8HGjRvRt29feHh4oFu3bti9e7co3+7du9GnTx+4u7sjODgYr7zyCiorK03Pf/HFF+jevTs8PT3RokULxMXFQa/XAxAP64wfPx67d+/GsmXLTMMdZ8+elR3W2bx5M7p27Qp3d3eEhYVhyZIlojqFhYXhzTffxNNPP40mTZqgTZs2eP/99y1+3dasWSNpPG3dulXUUJo9ezaio6OxatUqtGnTBj4+PpgyZQoMBgMWLVqEoKAgBAQE4I033rD4+ET1ydChQ+EDP5zFCVxBHvQoRk7hPkdXy+7YOCGy0qhRo2AwGPD111+b0i5duoRvv/0WTz/9dI37Tp8+HS+++CIOHTqE2NhYPPLII7h69SoA4MKFC3jooYfQu3dv/Prrr1i5ciU++ugjzJ8/HwCQl5eHsWPH4umnn8bx48eRmZmJESNGQG6EdtmyZYiNjcWkSZOQl5eHvLw8hIaGSvJlZ2fj73//O8aMGYMjR45g9uzZeP3117FmzRpRviVLlqBXr144dOgQpkyZgueeew4nT5609KVT5PTp0/juu++wfft2fPrpp/joo4/w8MMP4/z589i9ezcWLlyImTNnYt8+1/9DTQ2XRqPBzgPfIRen8Dt+xdLlS+Dn5+foatmf4vWLiUjiueeeE4YOHWp6vGTJEqF9+/aC0WiUzV+1FPyCBQtMaRUVFULr1q2FhQsXCoIgCK+++qoQHh4uKmPFihWCj4+PYDAYhOzsbAGAcPbsWdljJCQkCMOGDTM9HjBggPD888+L8uzatUsAIFy/fl0QBEF4/PHHhQceeECUZ/r06UKXLl1Mj9u2bSs8+eSTpsdGo1EICAgQVq5cKVuP6o69evVqwc/PT5S2ZcsW4c4/RykpKYKXl5dQXFxsSouPjxfCwsIEg8FgSgsPDxdSU1NrPDciVxCENoIXfISysjJHV6VOsOeEyAaTJk3C//3f/+HChdu3+61Zswbjx4+vdS7HnatzNmrUCL169cLx48cB3A5fHRsbKyqjX79+KCkpwfnz5xEVFYXBgweje/fuGDVqFD744ANcv37dpvM4fvw4+vXrJ0rr168f/vjjDxgMBlNaZGSk6f8ajQZBQUG4dOmSTceuTlhYGJo0+St8d2BgILp06SJa5yMwMNBuxydyJnnCn9ALN+Dm5uboqtQJNk6IbNCjRw9ERUVh3bp1yM7OxrFjx+y+xoVOp8POnTvx3XffoUuXLli+fDnCw8Nx5swZux4XABo3bix6rNFoYDQaq8ktT6vVSoagKioqFB1LjeMTkfNj44TIRs888wzWrFmD1atXIy4uTnZOh7mff/7Z9P/KykpkZ2ejc+fOAIDOnTsjKytL9AX+008/oUmTJqYZ+hqNBv369cOcOXNw6NAhuLm5YcuWLbLHcnNzE/V+yOncuTN++uknUdpPP/2Eu+66S/XQ2C1btsSNGzdME3gB1EkMFCKqP9g4IbLR448/jvPnz+ODDz6odSJslRUrVmDLli04ceIEpk6diuvXr5v2nTJlCs6dO4d//OMfOHHiBL766iukpKQgKSkJWq0W+/btw5tvvokDBw4gNzcXX375JS5fvmxq3JgLCwvDvn37cPbsWVy5ckW2p+HFF19ERkYG5s2bh99//x1r167Fu+++i5deesn6F6YaMTEx8PLywquvvorTp09jw4YNkom3RNSwsXFCZCM/Pz+MHDkSPj4+tUZmrbJgwQIsWLAAUVFR2LNnD77++mv4+/sDAFq1aoVt27Zh//79iIqKwrPPPouJEydi5syZAABfX1/88MMPeOihh3DXXXdh5syZWLJkCYYOHSp7rJdeegk6nQ5dunRBy5YtkZubK8lz991347PPPsPGjRvRrVs3zJo1C3PnzrXLEFXz5s3x8ccfY9u2bejevTs+/fRTzJ49W/XjEFH9xQixRCoYPHgwunbtinfeeafGfGfPnkW7du1w6NAhREdH103lHEguOq29ZWZmYtCgQYwQS1SPseeEyAbXr1/Hli1bkJmZialTpzq6Ok7pvffeg4+PD44cOWL3Y3Xt2rXaHiQiqj/sH0+ayIX16NED169fx8KFCxEeHu7o6jidTz75BLdu3QIAtGnTxu7H27Ztm+nOH19fX7sfj4jsg8M6RERE5FQ4rENEREROhY0TIiIicipsnBAREZFTYeOEiIiInAobJ0RERORU2DghIiIip8LGCRERETkVNk6IiIjIqfx/B85n9X6DohoAAAAASUVORK5CYII=", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["# Compute voltage across the gap and normalize electric field\n", "v0 = V_int_final.compute_voltage(mzm_solver_final_data)\n", "ey_norm = (mzm_solver_final_data.Ey / (0.5 * v0.real)).isel(f=0, mode_index=0, drop=True).abs\n", "\n", "\n", "waveguide_center = sim_final.structures[8].geometry.bounding_box.center\n", "\n", "ax = ey_norm.isel(x=0).transpose(\"z\", \"y\").plot(robust=True).axes\n", "ax.set_xlim(waveguide_center[1] - 2, waveguide_center[1] + 2)\n", "ax.set_ylim(waveguide_center[2] - 1.5, waveguide_center[2] + 1.5)\n", "ax.set_aspect(\"equal\")\n", "plt.show()"]}, {"cell_type": "markdown", "id": "eb1d41fe", "metadata": {}, "source": ["The normalized electric field is applied to the LiNbO\u2083 crystal along its z-axis, following the Pockels effect model:\n", "\n", "\n", "$$ \\Delta_n = -0.5 n_e^3 r_{33} E $$\n", "\n", "\n", "Where:\n", "- $\\Delta_n$: Index variation\n", "- $n_e$: Extraordinary refractive index\n", "- $r_{33}$: Pockels coefficient (30.9 pm/V) \n", "- $E$: Normalized electric field from CPW (1V across gap)"]}, {"cell_type": "code", "execution_count": 20, "id": "c2e97084", "metadata": {}, "outputs": [{"data": {"image/png": 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", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["# Extract LiNbO3 material properties at optical wavelength\n", "eps_o, eps_e, _ = (e.real for e in LiNbO3.eps_diagonal(td.C_0 / opt_wavelength))\n", "n_e = eps_e**0.5\n", "r33 = 30.9e-6 # Pockels coefficient in \u03bcm/V\n", "\n", "# Calculate refractive index variation from Pockels effect\n", "\u0394n = -0.5 * n_e**3 * r33 * ey_norm\n", "\n", "# Plot index variation (perturbation will only take effect over the LiNbO\u2083 regions)\n", "ax = \u0394n.isel(x=0).transpose(\"z\", \"y\").plot(robust=False).axes\n", "\n", "ax.set_xlim(waveguide_center[1] - 2, waveguide_center[1] + 2)\n", "ax.set_ylim(waveguide_center[2] - 1.5, waveguide_center[2] + 1.5)\n", "\n", "ax.set_aspect(\"equal\")\n", "\n", "plt.show()"]}, {"cell_type": "markdown", "id": "ff40809b", "metadata": {}, "source": ["Now, assuming that the field scales with the applied voltage, we can define an auxiliary function to create the perturbed medium using a [CustomAnisotropicMedium](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.CustomAnisotropicMedium.html) object as a function of the voltage. \n", "\n", "This incorporates the index change due to the RF fields and returns a [ModeSolver](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.plugins.mode.ModeSolver.html) object."]}, {"cell_type": "code", "execution_count": 21, "id": "6a02f7c3", "metadata": {}, "outputs": [], "source": ["# Use a single data point for the homogeneous directions\n", "eps_o_array = td.SpatialDataArray(np.full((1, 1, 1), eps_o), coords={\"x\": [0], \"y\": [0], \"z\": [0]})\n", "\n", "\n", "def perturbed_solver(voltage):\n", " perturbed_ln = td.CustomAnisotropicMedium(\n", " xx=td.CustomMedium(permittivity=eps_o_array, subpixel=True),\n", " yy=td.CustomMedium(permittivity=(n_e + voltage * \u0394n) ** 2, subpixel=True),\n", " zz=td.CustomMedium(permittivity=eps_o_array, subpixel=True),\n", " )\n", "\n", " # Changing the RF mediums to optical mediums\n", " si02_structures_index = [0, 9, 12]\n", " ln_structures_index = [7, 8, 10, 11]\n", "\n", " perturbed_structures = list(sim_final.structures)\n", " for i in si02_structures_index:\n", " perturbed_structures[i] = sim_final.structures[i].updated_copy(medium=SiO2)\n", " for i in ln_structures_index:\n", " perturbed_structures[i] = sim_final.structures[i].updated_copy(medium=perturbed_ln)\n", "\n", " # Remove metals\n", " del perturbed_structures[2:5]\n", "\n", " center = waveguide_center\n", " size = (0, 8, 3)\n", "\n", " perturbed_sim = sim_final.updated_copy(\n", " structures=perturbed_structures, size=size, center=center, grid_spec=sim_opt.grid_spec\n", " )\n", "\n", " ms = mode_solver_opt.updated_copy(\n", " simulation=perturbed_sim, plane=td.Box(size=size, center=center)\n", " )\n", " return ms"]}, {"cell_type": "markdown", "id": "344a7394", "metadata": {}, "source": ["Next, we create a [Batch](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/_autosummary/tidy3d.web.api.container.Batch.html) and run all mode simulations in parallel."]}, {"cell_type": "code", "execution_count": 22, "id": "29e27d6c", "metadata": {}, "outputs": [], "source": ["# Define voltages to apply and create a Batch of simulations\n", "voltages = np.arange(5)\n", "sims = {str(v): perturbed_solver(v) for v in voltages}\n", "\n", "batch = web.Batch(simulations=sims, folder_name=\"perturbed_mode\")"]}, {"cell_type": "markdown", "id": "ab6fef3f", "metadata": {}, "source": ["We can now visualize the index change for 4V bias."]}, {"cell_type": "code", "execution_count": 23, "id": "1363d29b", "metadata": {}, "outputs": [{"data": {"image/png": 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", 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"]}, "metadata": {}, "output_type": "display_data"}], "source": ["eps0 = sims[\"0\"].simulation.epsilon(sims[\"0\"].plane)\n", "eps4 = sims[\"4\"].simulation.epsilon(sims[\"4\"].plane)\n", "\n", "delta_eps = eps4 - eps0\n", "delta_eps.T.real.plot()\n", "plt.show()"]}, {"cell_type": "code", "execution_count": 24, "id": "71a7193b", "metadata": {}, "outputs": [{"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "cd3fc18898704949966d7d13451ff960", "version_major": 2, "version_minor": 0}, "text/plain": ["Output()"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
\n"], "text/plain": []}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
16:38:31 -03 Started working on Batch containing 5 tasks.                       \n", "
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16:38:38 -03 Maximum FlexCredit cost: 0.020 for the whole batch.                \n", "
\n"], "text/plain": ["\u001b[2;36m16:38:38 -03\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m0.020\u001b[0m for the whole batch. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
             Use 'Batch.real_cost()' to get the billed FlexCredit cost after the\n", "             Batch has completed.                                               \n", "
\n"], "text/plain": ["\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0mUse \u001b[32m'Batch.real_cost\u001b[0m\u001b[32m(\u001b[0m\u001b[32m)\u001b[0m\u001b[32m'\u001b[0m to get the billed FlexCredit cost after the\n", "\u001b[2;36m \u001b[0mBatch has completed. \n"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "bc0dfde3eb764b51a9711ab49cdb184e", "version_major": 2, "version_minor": 0}, "text/plain": ["Output()"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
16:38:42 -03 Batch complete.                                                    \n", "
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\n"], "text/plain": []}, "metadata": {}, "output_type": "display_data"}, {"data": {"application/vnd.jupyter.widget-view+json": {"model_id": "1645c70012d6476d9854a3ab3a875963", "version_major": 2, "version_minor": 0}, "text/plain": ["Output()"]}, "metadata": {}, "output_type": "display_data"}, {"data": {"text/html": ["
\n"], "text/plain": []}, "metadata": {}, "output_type": "display_data"}], "source": ["# Run all simulations in parallel\n", "batch_data = batch.run(path_dir=\"batch_perturbed_mode\")"]}, {"cell_type": "markdown", "id": "3e2f7f22", "metadata": {}, "source": ["Finally, we can observe the variation of the waveguide mode effective index as a function of the applied voltage and calculate the V\u03c0\u00b7L figure of merit."]}, {"cell_type": "code", "execution_count": 25, "id": "7b8459f0", "metadata": {}, "outputs": [{"data": {"image/png": 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rf8LJxxWnb8bIHY2IiEoBFi0q8yRJwgDHrtjvFYI6VtWRmPoEvRaNweJ9wchR5Mgdj4iINBiLFtH/qW9TEwe8QtDXoQsUQoF5v61B/2UT8CTtmdzRiIhIQ7FoEf0PY31DLHX7EcuGzIChngGOXz+Ldj6DcfL6ObmjERGRBmLRIspHn1adcdArBPVtauFJ2nP0XjoO839fy0uJRESkEhYtogLUta6B/Z5BGPRZdwghsGhvEHovGYek1KdyRyMiIg3BokX0FoZ6BvAf5IVVQ2fDWN8Ip/4+j3Y+g3H06l9yRyMiIg3AokVUCD1bOuPQtPWwq1IHz14ko//yCfDbHYDsnGy5oxERUQnGokVUSLUsq2LvD+vg9kVPCCGw9MAGfLN4LB4mP5Y7GhERlVAsWkQqMNDVx7wBUxE4zAflDIzw561YOPkMRuTlU3JHIyKiEohFi6gIurdwQoR3KBpXrYfnGakYuGISft65Am94KZGIiP4HixZREVWvXAW/T1kL97a9AQArD/2CHgtHI+F5oszJiIiopGDRInoP+rp68O37PYJG+sHUsBzO3bkEJx9XHLp4Qu5oRERUArBoERWDLk3bItw7FE2qNUTKyzS4rpqCmduXIiv7jdzRiIhIRixaRMWkWiUb/DYlECPb9wMABEb8iu7+I3Hv6UOZkxERkVxYtIiKkZ6OLmb3noANo+ejvJEpYu5eRQdfV+yLOSp3NCIikgGLFpEaONt/gXDvDWhRsxHSXqVjaKAnvLcuROabLLmjERHRB8SiRaQmthWtsev7AIzpOAgAEHQkDF0XjMDdJwkyJyMiog+FRYtIjXS1dfBjz7H4ZcwiVDA2w8X719HB1w2/RUfKHY2IiD4AFi2iD8CpUWtETN+IT2vb48XrDIxY640fNs/H6zeZckcjIiI1YtEi+kBszC2wY+JKjO/kBgDYcHwnvp4/HHeS7sucjIiI1IVFi+gD0tHWwTSX0fh13BJUNDHH5fi/0WHOEOw6e0juaEREpAYsWkQyaGvXCpHeoWhdtxkyMl9idNAMTP7FD6+yXssdjYiIihGLFpFMrMpXRtiE5ZjUxR2SJOGXk3vQeZ47bibelTsaEREVExYtIhlpa2ljatfh2OaxDJVNK+Dag9voOGcItv25Dw+TH+PkjWg8TH4sd0wiIioiSQgh5A5RlqWlpcHMzAypqakwNTWVOw7J6HHqM4wJmYkT18/lmq8lacF/kCcGOHaTKRkREf1XYd+/eUaLqISwMKuILeOXYrTTgFzzFUKBKZvm8swWEZEGYtEiKkG0tbTRvpFjnvk5CgXiHsfLkIiIiN4HixZRCVPTwhZaUt4/zaAjYch4/VKGREREVFQsWkQljI25BfwHeUJb658/T0mSIEkS9sUeRUe/IbiScFPmhEREVFi8GV5mvBmeCvIw+THiHsejhoUt4p89xOigGXiY/Bj6Onr4uc9EDP7cBZIkyR2TiKhMKuz7N4uWzFi0qLCep6fCY8NPCL8UBQDo3sIJ/gO9YGJoLHMyIqKyh586JCplKpQzQ+h3/pjZaxx0tLSx51wEOsxxw8X71+WORkREBWDRItIgkiRhdIeB2DM5EFUqWOHukwR8PX84go6EgSeniYhKHpWL1vXrBf/r+eDBg+8VhogKp3nNjxHhHYqv7NsgK/sNvLcuxLA1Xkh9+ULuaERE9D9ULlrNmjXDypUrc83LzMzE2LFj0b1792ILRkRvV97YFMGj5sKnz0Toautgb8xROPm64nzcFbmjERHR/1G5aK1fvx4zZsxA586dkZSUhNjYWDRt2hQRERE4ceKEOjISUQEkScKwdn3x+9S1qFbpI8Q/e4Tu/iMRGPErLyUSEZUAKhetPn364MKFC3jz5g3s7Ozg4OCANm3a4Pz58/jkk0/UkZGI3qFJtQYI996Ars3a401ONmZuXwq3gClIzkiVOxoRUZlW5Jvhs7KykJOTg5ycHFhbW8PAwKA4cxGRikwNy2HNcB/M7T8F+jp6OHTxJJx8XHH29kW5oxERlVkqF60tW7agUaNGMDMzw99//429e/dizZo1+Pzzz3Hnzh11ZCSiQpIkCUPa9MLeH9ahpoUtHiQnwWXhaKw4uBEKhULueEREZY7KDyw1NjaGv78/Ro8erZyXnJyMkSNH4sCBA0hLSyv2kKUZH1hK6pL+OgNTN83DzrOHAADt7BywbMgMVDIxlzkZEZHmU9sDS8+fP5+rZAGAubk5tm3blufTiO9y/PhxdO3aFTY2NpAkCbt3737nMps2bYK9vT2MjIxgbW2NoUOH4tmzZ7nGhIWFoX79+jAwMECjRo2wb9++XK//+91x/50WLFigHOPr64vWrVvDyMgI5cuXzzfL2bNn0b59e5QvXx7m5uZwdnbGhQsXVPodEKlLOQNjrBw6G4sGT4OBrj4OXzkNJx9XnL4ZI3c0IqIyQ+WiVa9ePWRnZyMiIgKBgYF48eKf5/Y8fPgQPXr0UGldGRkZsLe3L3RBi4qKgqurK9zd3XHlyhWEhYXhzJkzGD58uHLMqVOn0L9/f7i7uyMmJgYuLi5wcXHB5cuXlWMePXqUawoODoYkSejVq5dyTFZWFnr37p2nVP4rPT0dnTp1QtWqVfHXX3/h5MmTMDExgbOzM968eaPS74FIXSRJwgDHbtjvGYw6VtWQmPoEvRaNweJ9wchR5Mgdj4io9BMqunv3rqhfv74wMjIS2tra4vbt20IIIcaPHy9Gjhyp6uqUAIhdu3a9dcyCBQtEzZo1c81btmyZ+Oijj5Q/9+nTR3Tp0iXXmE8//fSt2bp37y7atWuX72shISHCzMwsz/yzZ88KAOL+/fvKeRcvXhQAxM2bNwvc1uvXr0Vqaqpyio+PFwBEampqgcsQFYf01y/FuJDZwnLkp8Jy5Kei9+Kx4nHqU7ljERFppNTU1EK9f6t8RsvDwwMtWrRAcnIyDA0NlfN79OiByMjI4up/+XJwcEB8fDz27dsHIQSSkpKwfft2dO7cWTnm9OnTcHJyyrWcs7MzTp8+ne86k5KSsHfvXri7u6uUpV69eqhYsSKCgoKQlZWFV69eISgoCA0aNED16tULXM7Pzw9mZmbKydbWVqXtEhWVsb4hlg2ZgaVuP8JQzwDHr59Fex9XnLx+Tu5oRESllspF68SJE5g+fTr09PRyza9evToePHhQbMHy4+joiE2bNqFv377Q09ODlZUVzMzMcl16TExMhKWlZa7lLC0tkZiYmO86N2zYABMTE/Ts2VOlLCYmJjh69Ch++eUXGBoaoly5cjhw4AD2798PHR2dApfz8vJCamqqcoqPj1dpu0Tvq69DFxz0CkF9m1p4nPYMvZeOw/zf1/JSIhGRGqhctBQKBXJy8v4POSEhASYmJsUSqiBXr16Fh4cHZsyYgejoaBw4cAB3797FqFGjirzO4OBgDBw4UOXngL169Qru7u5wdHTEn3/+iaioKHz88cfo0qULXr16VeBy+vr6MDU1zTURfWh1rWtgn2cQBjp2gxACi/YGofeScUhMeSJ3NCKiUkXlotWxY0csWbJE+bMkSUhPT8fMmTNzXcJTBz8/Pzg6OmLKlClo3LgxnJ2dsWrVKgQHB+PRo0cAACsrKyQlJeVaLikpCVZWVnnWd+LECdy4cQPDhg1TOcvmzZtx9+5dhISE4JNPPkGrVq2wefNmxMXFYc+ePUXbQaIPyEjPAAsHT8OqobNhrG+EU3+fR3tfVxy9+pfc0YiISg2Vi9bChQsRFRWFhg0b4vXr1xgwYIDysuG8efPUkVHp5cuX0NLKHVlbWxsAlN/r5uDgkOdesfDwcDg4OORZX1BQEJo3bw57e/siZ5EkSTnv35/5YEjSJD1bOuPQtPWwq1IHz14ko98yD8zZHYDsnGy5oxERaTyVi1aVKlVw4cIFTJs2DRMnTkTTpk0xd+5cxMTEwMLCQqV1paenIzY2FrGxsQCAuLg4xMbG4v79+wD+uZ/J1dVVOb5r167YuXMnAgICcOfOHURFRWH8+PFo2bIlbGxsAPxzs/6BAwewcOFCXL9+HbNmzcK5c+cwduzYXNtOS0tDWFhYgWez7t+/r8ySk5OjzJmeng4A6NChA5KTkzFmzBhcu3YNV65cwbfffgsdHR20bdtWpd8DkdxqWVbF3h/WYUibfx5xsuzABvRaPAYPkx/LnIyISMN9iI9AFuTIkSMCQJ7Jzc1NCCGEm5ubaNOmTa5lli1bJho2bCgMDQ2FtbW1GDhwoEhISMg1Ztu2baJu3bpCT09P2NnZib179+bZdmBgoDA0NBQpKSn5ZnNzc8s325EjR5RjDh06JBwdHYWZmZkwNzcX7dq1E6dPn1bpd1DYj4cSfSh7zkWI2h7thOXIT0WDSR3FoYsn5Y5ERFTiFPb9u1BfwfPbb78Vurh169ZN5bJXlvEreKgkuvskASPWTsfF+9cBAKM7DMQ0l9HQ1S74E7VERGVJYd+/C1W0/ntflCRJ+O9i/96rlN8nEqlgLFpUUmW+yYLPrpVYe3grAKB5jY+xetjPsK1oLXMyIiL5Fet3HSoUCuV06NAhNGnSBPv370dKSgpSUlKwf/9+NGvWDAcOHCi2HSAieenr6uHnPhMRMmoezIxMEB13GU6+rtgfe0zuaEREGqNQZ7T+18cff4zVq1fjs88+yzX/xIkTGDFiBK5du1asAUs7ntEiTXD/6UOMCvoR5+OuAACGt+uLH3uOhZ6OrszJiIjkUaxntP7X7du3Ub58+TzzzczMcPfuXVVXR0QaoGolG+z+fjVGOQ0AAKw9vBVdF4zAvSfq/TYIIiJNp3LR+uSTTzBp0qRcDwVNSkrClClT0LJly2INR0Qlh56OLmZ9Mx6h3/nD3NgUF+5dg5OvK36PPix3NCKiEkvlovXvU9irVq2K2rVro3bt2qhatSoePHiAoKAgdWQkohKkY+PPEOG9ES1rNcaL1xkYvnYaPH9dgNdvMuWORkRU4qh8jxbwz1PYw8PDcf36Px/9btCgAZycnHI9JZ0Kh/dokabKzsnG/N/XYtmBDQCAj23rYs0wH9S0rCpzMiIi9SvWxzuQ+rBokaY7cuVPjF0/G89eJMNY3wj+gzzR45OOcsciIlIrtRatyMhIREZG4vHjx3m+1y84OFj1tGUYixaVBokpTzA6aAZO34wBAAz6rDt+7jMRhnoGMicjIlIPtX3qcPbs2ejYsSMiIyPx9OlTJCcn55qIqOyxKl8ZYROWY1IXd0iShF9O7sFXc93x96M4uaMREclK5TNa1tbWmD9/PgYPHqyuTGUKz2hRaXPi+ll8FzwTT9Kew1DPAPMGTEWfVp3ljkVEVKzUdkYrKysLrVu3fq9wRFR6fV7/E0R6b8Tn9VvgVdZrjF//Ezw2/IyMzFdyRyMi+uBULlrDhg3D5s2b1ZGFiEoJC7OK2DJ+KX7oNgJakha2nt6LTn7f4tqD23JHIyL6oFS+dOjh4YHQ0FA0btwYjRs3hq5u7q/gWLRoUbEGLO146ZBKu1N/n8d3QTORmPoEBrr6mNPve/Rv3ZWPgyEijaa2Tx22bdu24JVJEg4f5lOiVcGiRWXB0xfJGLd+No5c+RMA0KulM+YNmIpyBsYyJyMiKho+R0tDsGhRWaFQKLAy/BfM3ROIHEUOallWxZrhvrCrUkfuaEREKlPbzfBEREWhpaWFcc6u2DVpFWzMLXA76T46z3XHhuM7wX/vEVFpVegzWj179izUCnfu3PlegcoantGisuh5eio8NvyE8EtRAIBuzdvDf5AXTA3LyZyMiKhwCvv+rVPYFZqZmRVLMCKiCuXMEPqdPwIjf4XPzpX4LToSF+5dx5rhvrCvVl/ueERExYb3aMmMZ7SorDsfdxkj1k5HwvNE6OnoYkavcXD/sjc/lUhEJRrv0SIijdCsxseI8A5F5yZtkJX9BtO3LoJ7oCdSMtLkjkZE9N5YtIhIduWNTRE0ci58+k6Cno4u9sUeg5OvK87HXZY7GhHRe2HRIqISQZIkDGvbB79PWYtqlT5CwvNEdFswEgHhm/ipRCLSWCxaRFSi2Ferj3DvDejWvD2yFTmYvWM5XFdNxvP0VLmjERGpjEWLiEocU8NyCBzmg3kDpkJfRw/hl6LQwdcVZ25dkDsaEZFKilS0Nm7cCEdHR9jY2ODevXsAgCVLlmDPnj3FGo6Iyi5JkuD2RU/s8wxCLcuqeJCchB6LvsPyA6FQKBRyxyMiKhSVi1ZAQAAmTZqEzp07IyUlBTk5OQCA8uXLY8mSJcWdj4jKOLsqdXDQKwS9WjojR5ED392rMHDlJDx9kSx3NCKid1K5aC1fvhxr166Ft7c3tLW1lfNbtGiBS5cuFWs4IiIAKGdgjBXfzsKiwdNgqKuPI1f+hJOPK079fV7uaEREb6Vy0YqLi0PTpk3zzNfX10dGRkaxhCIi+i9JkjDAsRv2eQajjlV1JKY+wTeLx2LR3mDkKHLkjkdElC+Vi1aNGjUQGxubZ/6BAwfQoEGD4shERFSgBh/VwgGvEPR16AKFUGD+72vQb5kHHqc+kzsaEVEeKhetSZMmYcyYMdi6dSuEEDhz5gx8fX3h5eWFqVOnqiMjEVEuxvqGWOr2I5YNmQFDPQOcuH4O7X0H48T1s3JHIyLKpUjfdbhp0ybMmjULt2/fBgDY2Nhg9uzZcHd3L/aApR2/65Do/dxMvIvha7xx/eFtSJKECV99i++7DIWOto7c0YioFCvs+/d7fan0y5cvkZ6eDgsLi6Kuosxj0SJ6f6+yXuPHbYvxy8l/HjHTqk5TrHb/CVblK8ucjIhKK7V9qbSPjw/i4uIAAEZGRixZRCQ7Qz0D+A/yQoD7TzDWN8KfN2PQzmcwDl85LXc0IirjVC5aYWFhqF27Nlq3bo1Vq1bh6dOn6shFRKSyHp90RPi09fjYti6ep6dgwPKJ8N21Ctk52XJHI6IySuWideHCBVy8eBFffvkl/P39YWNjgy5dumDz5s14+fKlOjISERVaTcuq+GPqWgxp0wsAsPxgKHou+g4PnifJnIyIyqL3ukcLAKKiorB582aEhYXh9evXSEtLK65sZQLv0SJSn9+jD2PSRl+8eJ0Bc2NTLHWbgY6NP5M7FhGVAmq7R+u/jI2NYWhoCD09Pbx58+Z9V0dEVGy6Nm+HCO9Q2FdrgOSMNLiumoyZ25ciK5v/ryKiD6NIRSsuLg6+vr6ws7NDixYtEBMTg9mzZyMxMbG48xERvZdqlT/Cb5MDMaJdPwBAYMSvcFk4CvefPpQ5GRGVBSpfOmzVqhXOnj2Lxo0bY+DAgejfvz8++ugjdeUr9XjpkOjDORB7HB6hPyP15QuYGZlg8WBvdG76pdyxiEgDqe3SYfv27XHp0iXExMRg8uTJLFlEpDE6NfkCEd6haF7jY6S+fIGhgZ7w3roQmW+y5I5GRKXUe98MT++HZ7SIPrw3Odnw2x2AVeGbAACNq9bHmuE+qF65iszJiEhTFOuT4SdNmoSff/4ZxsbGmDRp0lvHLlq0SPW0ZRiLFpF8wi9FwWP9T3iekQoTA2MsHDwN3Zq3lzsWEWmAwr5/F+rLwGJiYpSfKIyJiSmehEREMuvQyBER0zdidNCP+OvWBYxY642oG9GY3dsDBrr6cscjolKAlw5lxjNaRPLLzsnG/N/XYtmBDQAAuyp1sGa4L2pZVpU5GRGVVGq7GX7o0KF48eJFnvkZGRkYOnSoqqsjIpKdjrYOprmMxq/jlqCiiTmuJNxEhzlu2PHXAbmjEZGGU/mMlra2Nh49epTny6SfPn0KKysrZGfzO8VUwTNaRCVLYsoTfBc8E6f+Pg8AGODYFT59v4eRnoHMyYioJCn2M1ppaWlITU2FEAIvXrxAWlqackpOTsa+ffvylC8iIk1jVb4ywiYsx/dd3CFJEjZH/Y6v5g7FjYdxckcjIg1U6DNaWlpakCSp4BVJEmbPng1vb+9iC1cW8IwWUcl18vo5fBc8E4/TnsFQzwB+/SajX+uv5Y5FRCVAsT7eAQCOHTsGIQTatWuHHTt2oEKFCsrX9PT0UK1aNdjY2Lx/8jKGRYuoZHuS9gxjgmfh+PWzAIDerTpjbr/JMDYwkjkZEcmp2IvWv+7du4eqVau+9ewWFR6LFlHJl6PIwfIDoZj/+1oohAJ1rKphzXBfNPiottzRiEgmavvU4eHDh7F9+/Y888PCwrBhwwZVV0dEVOJpa2ljQudvsWPSSliZVcbNxHv4aq47Np3cAz4hh4jeRuWi5efnh0qVKuWZb2FhgTlz5hRLKCKiksihTlNETA9FW7tWeP0mE9//4ofvgmci/XWG3NGIqIRSuWjdv38fNWrUyDO/WrVquH//frGEIiIqqSqZmGPTmEWY3mMMtLW0sevsIXTwdcOl+zfkjkZEJZDKRcvCwgIXL17MM//ChQuoWLFisYQiIirJtLS0MNZ5MHZ/H4CPzC0R9yQBX88fjpCj23kpkYhyUblo9e/fH+PHj8eRI0eQk5ODnJwcHD58GB4eHujXr586MhIRlUif1GqMiOmh6Nj4M2RmZ8Friz+Gr/VG2qt0uaMRUQmh8qcOs7KyMHjwYISFhUFH55/vpFYoFHB1dcXq1auhp6enlqClFT91SKT5hBBYE7kFPrtW4k1ONqpWssGa4b6wMK2IO4/jUdPCFjbmfKAzUWmitsc7/Ovvv//GhQsXYGhoiEaNGqFatWpFDluWsWgRlR7n465g5LrpiH/2CNqSFhRCQEBAS9KC/yBPDHDsJndEIiomanu8w7+qV6+Oxo0bo1OnTkUuWcePH0fXrl1hY2MDSZKwe/fudy6zadMm2Nvbw8jICNbW1hg6dCiePXuWa0xYWBjq168PAwMDNGrUCPv27cv1uiRJ+U4LFixQjvH19UXr1q1hZGSE8uXLF5hn/fr1aNy4MQwMDGBhYYExY8ao9DsgotKjWQ07RHiHop1dK+QIBQT++XesQigwZdNcPEx+LHNCIvrQVC5aL1++hLu7O4yMjGBnZ6f8pOG4ceMwd+5cldaVkZEBe3t7rFy5slDjo6Ki4OrqCnd3d1y5cgVhYWE4c+YMhg8frhxz6tQp9O/fH+7u7oiJiYGLiwtcXFxw+fJl5ZhHjx7lmoKDgyFJEnr16qUck5WVhd69e2P06NEF5lm0aBG8vb3h6emJK1euICIiAs7Ozir9DoiodDEzMsF3HQblmZ+jUCDucbwMiYhIVkJF48ePF82bNxcnTpwQxsbG4vbt20IIIXbv3i2aNGmi6uqUAIhdu3a9dcyCBQtEzZo1c81btmyZ+Oijj5Q/9+nTR3Tp0iXXmE8//VSMHDmywPV2795dtGvXLt/XQkJChJmZWZ75z58/F4aGhiIiIuKtmd8lNTVVABCpqanvtR4iKjkePE8S1qMchOXIT3NNfrtWi5ycHLnjEVExKOz7t8pntHbv3o0VK1bgs88+y/U1PHZ2drh9+3bxNcB8ODg4ID4+Hvv27YMQAklJSdi+fTs6d+6sHHP69Gk4OTnlWs7Z2RmnT5/Od51JSUnYu3cv3N3dVcoSHh4OhUKBBw8eoEGDBqhSpQr69OmD+Pi3/4s1MzMTaWlpuSYiKl1szC3gP8gT2lr//C/23/9TLjkQAteAKXiWniJbNiL6sFQuWk+ePIGFRd5Pz2RkZKj9+w8dHR2xadMm9O3bF3p6erCysoKZmVmuS4+JiYmwtLTMtZylpSUSExPzXeeGDRtgYmKCnj17qpTlzp07UCgUmDNnDpYsWYLt27fj+fPn6NChA7Kysgpczs/PD2ZmZsrJ1tZWpe0SkWYY4NgNZ313Y8fElTg3Zw8WDPSEvo4eIi5FwclnMP66FSt3RCL6AFQuWi1atMDevXuVP/9brtatWwcHB4fiS5aPq1evwsPDAzNmzEB0dDQOHDiAu3fvYtSoUUVeZ3BwMAYOHAgDAwOVllMoFHjz5g2WLVsGZ2dntGrVCr/++itu3ryJI0eOFLicl5cXUlNTldO7zoARkeayMbeAY73m+KiCJQZ/7oL9nkGoZVkVj1KeoOeiMVh2YAMUCoXcMYlIjXRUXWDOnDn46quvcPXqVWRnZ2Pp0qW4evUqTp06hWPHjqkjo5Kfnx8cHR0xZcoUAEDjxo1hbGyMzz//HD4+PrC2toaVlRWSkpJyLZeUlAQrK6s86ztx4gRu3LiBrVu3qpzF2toaANCwYUPlvMqVK6NSpUpv/SoifX196Ovrq7w9ItJ8DavUwSGv9fjh1/nY/tcBzNkdgFN/n8fyITNR2bSC3PGISA1UPqP12WefITY2FtnZ2WjUqBEOHToECwsLnD59Gs2bN1dHRqWXL19CSyt3ZG1tbQBQfu2Fg4MDIiMjc40JDw/P92xbUFAQmjdvDnt7e5WzODo6AgBu3Pj/32/2/PlzPH36lM8UI6ICGRsYYfmQmVjsOh2Guvo4evUvtPcZjJM3ouWORkTqUJg76ydOnCjS09OFEEIcO3ZMvHnz5n1v1hdCCPHixQsRExMjYmJiBACxaNEiERMTI+7duyeEEMLT01MMHjxYOT4kJETo6OiIVatWidu3b4uTJ0+KFi1aiJYtWyrHREVFCR0dHeHv7y+uXbsmZs6cKXR1dcWlS5dybTs1NVUYGRmJgICAfLPdu3dPxMTEiNmzZ4ty5copc7548UI5pnv37sLOzk5ERUWJS5cuia+//lo0bNhQZGVlFfp3wE8dEpVd1x7cFp/P6icsR34qrEc5iAW/rxXZOdlyxyKiQijs+3ehipaOjo5ITEwUQgihpaUlkpKS3j+hEOLIkSMCQJ7Jzc1NCCGEm5ubaNOmTa5lli1bJho2bCgMDQ2FtbW1GDhwoEhISMg1Ztu2baJu3bpCT09P2NnZib179+bZdmBgoDA0NBQpKSn5ZnNzc8s325EjR5RjUlNTxdChQ0X58uVFhQoVRI8ePcT9+/dV+h2waBGVbRmZr8SEDT7KR0D0WjRGJKY8kTsWEb1DYd+/C/UVPHXq1EGfPn3QsWNHtG3bFrt27YK5uXm+Y7/44ov3P81WhvAreIgIAML+3I8ffp2Pl5mvUMnEHCu/nYU2DT+VOxYRFaBYv+tw9+7dGDVqFB4/fgxJklDQIpIkIScnp+ipyyAWLSL6183Euxi5djquPrgFSZLg0ckNk78eBh1tlT+3RERqppYvlU5PT4epqSlu3LiR77O0AMDMzEz1tGUYixYR/a9XWa8xM2wpQk/sAgC0qt0Eq9x/go15/v/PJSJ5FOuXSk+aNAkZGRkoV64cjhw5gho1auR66Ob/TkREVHSGegaYP/AHrB72M8oZGOHPW7Fw8hmMiEun5I5GREVQqDNaurq6SEhIgKWlJbS1tfHo0aMCz2iRanhGi4gKEvc4HiPXTcfF+/88Rua7DgPh5TIauryUSCS7Yr10yJvh1YdFi4jeJvNNFn7auRxBR8IAAM1rfIzVw36GbUVrmZMRlW28GV5DsGgRUWHsjTmCiaG+SHuVjvJGpljiOh2dmvAftkRy4c3wGoJFi4gK697Thxi5djpi710FAIxo1w/Te46Bno6uzMmIyh61FC0AOHbsGBwdHaGjw3sEigOLFhGpIiv7DXx3r0JgxK8AAPtqDbBmmA+qVf5I5mREZUuxfuoQALZt24asrCy0adMGOjo6SEhIyPWt8y9fvsT8+fPfLzUREb2Vno4uZn/jgdDvFqC8kSku3LsGJ19X/B59WO5oRJSPQp/R+u+nDU1NTREbG4uaNWsCAJKSkmBjY8N7tFTEM1pEVFQJzxMxet2POHvnEgBgSJtemPXNeBjo6sucjKj0K/YzWv/tYypecSQiomJWpYIVdn4fgLHOgwEA64/tQNf5w3En6b7MyYjoX4UuWkREVPLoautgeo8x2DxuMSqUK49L8X+jw5wh2HX2kNzRiAgsWkREpUI7OwdEeoeiVZ2myMh8idFBMzD5Fz+8ynotdzSiMk2ljw4ePHhQ+fgGhUKByMhIXL58GQCQkpJS7OGIiKjwrM0tsH3CcizcG4Ql+9fjl5N7EB13GWuG+6KOVXW54xGVSYW+GV5L690nv/jAUtXxZngiUofj185gTMgsPEl7DkM9A8wbMBV9WnWWOxZRqVHsN8MrFIp3TixZREQlwxcNWiLSeyM+q9cCr7JeY/z6n+Cx4WdkZL6SOxpRmcJ7tIiISikLs4rY6rEUU7uOgJakha2n96KT37e49uC23NGIygwWLSKiUkxbSxuTugxF2ITlsDSrhJuJd9F57lBsjvqNj+kh+gBYtIiIygDHes0R4R2Ktg1b4dWbTEzaOAdjQ2Yh/XWG3NGISjUWLSKiMqKyaQVsGrsI3i7fQVtLGzvOHISz37e4HP+33NGISi0WLSKiMkRLSwvjOrli16RVsDG3wO2k++gybxjWH9vBS4lEasCiRURUBrWsbY8I743o0MgRmdlZ8Px1AUaum460V+lyRyMqVQr1HC1zc3NIklSoFT5//vy9Q5UlfI4WEclJCIHAyF/hs3MlshU5qFbpIwQO90GTag3kjkZUohX2/btQT4ZfsmRJceUiIqISRJIkjHIagJa1GmPE2um49/QBus4fjpm9xsG9bZ9C/yObiPJX6CfDk3rwjBYRlRQpGWmYGOqL/ReOAQC+sm+Dxa7eKG/M/zcR/VexPxk+P69fv0ZaWlquiYiINFN5Y1MEj5oLn76ToKeji/0XjsHJ1xXn4y7LHY1IY6lctDIyMjB27FhYWFjA2NgY5ubmuSYiItJckiRhWNs++H3KWlSr9BESniei24KRCAjfBIVCIXc8Io2jctGaOnUqDh8+jICAAOjr62PdunWYPXs2bGxsEBoaqo6MRET0gdlXq49w7w3o1rw9shU5mL1jOVwDpuB5eqrc0Yg0isr3aFWtWhWhoaH48ssvYWpqivPnz6N27drYuHEjfv31V+zbt09dWUsl3qNFRCWZEAKhJ3ZhxrYlyMzOgo25BVa7/4yWte3ljkYkK7Xdo/X8+XPUrFkTAGBqaqp8nMNnn32G48ePFzEuERGVRJIkwe2LntjnGYRallXxMPkxeiz6DssObOClRKJCULlo1axZE3FxcQCA+vXrY9u2bQCA33//HeXLly/WcEREVDLYVamDg14h6NXSGTmKHMzZHYABKybiSRqfnUj0NioXrW+//RYXLlwAAHh6emLlypUwMDDAxIkTMWXKlGIPSEREJUM5A2Os+HYWFg32hqGuPo5e/QtOvq6IuhEtdzSiEuu9n6N17949REdHo3bt2mjcuHFx5SozeI8WEWmiaw9uY8Rab9xMvAstSQvff+2OCV8NgbaWttzRiD6Iwr5/84GlMmPRIiJNlZH5Ct5bF2LLqT8AAJ/Va4FVQ2fDwqyizMmI1E9tN8OPHz8ey5YtyzN/xYoVmDBhgqqrIyIiDWWsb4glrtOxfMhMGOoZ4OSNc2jnMwjHr52ROxpRiaFy0dqxYwccHR3zzG/dujW2b99eLKGIiEhz9G71FQ5NW48GH9XC0xfJ6LvMA3P3rEZ2Trbc0Yhkp3LRevbsGczMzPLMNzU1xdOnT4slFBERaZY6VtWx74cgDP7cBUIILNm/Ht8sGYdHyY/ljkYkK5WLVu3atXHgwIE88/fv3698vhYREZU9hnoGWDDQE6vdf4axvhH+vBmD9r6uiLx8Su5oRLLRUXWBSZMmYezYsXjy5AnatWsHAIiMjMTChQuxZMmS4s5HREQaxuWTDmhctR5GrpuOS/F/Y+CKSRjTcRA8u4+CrrbKbztEGq1InzoMCAiAr68vHj58CACoXr06Zs2aBVdX12IPWNrxU4dEVFq9fpOJ2duXI+TYP/fvtqjZCKuH/YwqFaxkTkb0/j7I4x2ePHkCQ0NDlCtXrqirKPNYtIiotPvj/GFM2jgHaa/SUd7IFEvdpsPZ/gu5YxG9F7U93uF/Va5cmSWLiIje6utm7RA+bQOaVGuIlJdpcAuYiplhS5CV/UbuaERqV6gzWs2aNUNkZCTMzc3RtGlTSJJU4Njz588Xa8DSjme0iKisyMp+A5+dK7Hm8BYAQJNqDRE43AfVKtnInIxIdYV9/y7UXYndu3eHvr6+8r/fVrSIiIjyo6eji5/6TIBjvWbw2OCD2HtX0cHXFYtdvdGlaVu54xGpBb+CR2Y8o0VEZVH8s0cYHTQD5+5cAgAM/fIbzOg1Dga6+jInIyoctd2jVbNmTTx79izP/JSUFD5Hi4iICsW2ojV2fR+AMR0HAQCCj25H1/nDEfc4XuZkRMVL5aJ19+5d5OTk5JmfmZmJhISEYglFRESln662Dn7sORa/jFmECsZmuBT/NzrMccPus+FyRyMqNoV+ctxvv/2m/O+DBw/m+hqenJwcREZGokaNGsWbjoiISj2nRq0RMX0jvguagT9vxWJU0I+I+jsaP/WeAEM9A7njEb2XQt+jpaX1z8kvSZLw30V0dXVRvXp1LFy4EF9//XXxpyzFeI8WEdE/snOysXBvEJbsXw8hBBp8VAtrhvuijlV1uaMR5aG2B5bWqFEDZ8+eRaVKld47JLFoERH917Grf2FMyCw8fZEMI31DzOs/Fb1bfSV3LKJcPsiT4en9sWgREeWVlPoU3wXPRNSNaABAv9Zfw7fv9zDWN5Q5GdE/1Ppk+MjISHz99deoVasWatWqha+//hoRERFFDktERPS/LM0qYZvHMkzpOhxakha2nPoDX80diusP78gdjUglKhetVatWoVOnTjAxMYGHhwc8PDxgamqKzp07Y+XKlerISEREZZC2lja+7+KOsAnLYWFaEX8/isNXft9ic9Tvee4VJiqpVL50WKVKFXh6emLs2LG55q9cuRJz5szBgwcPijVgacdLh0RE7/Yk7TnGrZ+No1f/AgD0aumMeQOmopyBsczJqKxS26XDlJQUdOrUKc/8jh07IjU1VdXVERERvVNl0wrYPHYxprmMhraWNnacOQhnv29xJeGm3NGI3krlotWtWzfs2rUrz/w9e/bw0Q5ERKQ2WlpaGN/JDTsnrYR1+cq4nXQfnee6I/T4Ll5KpBJL5UuHPj4+8Pf3h6OjIxwcHAAAf/75J6KiovD999/nOn02fvz44k1bCvHSIRGR6p6lp8Bjw8+IuBQFAOjWvD0WDpoGE0NeSqQPQ63P0SoMSZJw5w4/HfIuLFpEREWjUCiwOuJXzNm9CtmKHFSvXAWBw3xgX62+3NGoDOBztDQEixYR0fuJvnMZI9dNR8LzROjp6GJGr3Fw/7I3JEmSOxqVYmp9jhYAPH36FE+fPi3q4gCA48ePo2vXrrCxsYEkSdi9e/c7l9m0aRPs7e1hZGQEa2trDB06FM+ePcs1JiwsDPXr14eBgQEaNWqEffv25XpdkqR8pwULFijH+Pr6onXr1jAyMkL58uXfmunZs2eoUqUKJElCSkpKYXefiIiKQfOaHyPCOxRf2bdBVvYbTN+6CO6BnkjJSJM7GpFqRSslJQVjxoxBpUqVYGlpCUtLS1SqVAljx44tUsHIyMiAvb19oZ+/FRUVBVdXV7i7u+PKlSsICwvDmTNnMHz4cOWYU6dOoX///nB3d0dMTAxcXFzg4uKCy5cvK8c8evQo1xQcHAxJktCrVy/lmKysLPTu3RujR49+Zy53d3c0btxYhT0nIqLiVN7YFMGj5sKnz0ToautgX+wxdJjjhvNxl9+9MJEaFfrS4fPnz+Hg4IAHDx5g4MCBaNCgAQDg6tWr2Lx5M2xtbXHq1CmYm5sXLYgkYdeuXXBxcSlwjL+/PwICAnD79m3lvOXLl2PevHlISEgAAPTt2xcZGRn4448/lGNatWqFJk2aYPXq1fmu18XFBS9evEBkZGSe19avX48JEyYUWCQDAgKwdetWzJgxA+3bt0dycvJbz4BlZmYiMzNT+XNaWhpsbW156ZCIqJjE3ruGkWun497TB9DR0oZ3j+8wymkALyVSsSr2S4c//fQT9PT0cPv2bQQGBmLChAmYMGEC1qxZg1u3bkFXVxc//fRTsYQviIODA+Lj47Fv3z4IIZCUlITt27ejc+fOyjGnT5+Gk5NTruWcnZ1x+vTpfNeZlJSEvXv3wt3dXeU8V69exU8//YTQ0FBoaRXuV+nn5wczMzPlZGtrq/J2iYioYE2qNUC49wZ83awdshU5mL1jOVxXTcbzdD7rkT68Qhet3bt3w9/fH5aWlnles7Kywvz58/N9vlZxcnR0xKZNm9C3b1/o6enBysoKZmZmuS49JiYm5sloaWmJxMTEfNe5YcMGmJiYoGfPniplyczMRP/+/bFgwQJUrVq10Mt5eXkhNTVVOcXHx6u0XSIiejdTw3JYO9wXc/tPgb6OHsIvRaGDryvO3LogdzQqYwpdtB49egQ7O7sCX//4448LLDPF5erVq/Dw8MCMGTMQHR2NAwcO4O7duxg1alSR1xkcHIyBAwfCwMBApeW8vLzQoEEDDBo0SKXl9PX1YWpqmmsiIqLiJ0kShrTphb0/rENNC1s8SE5Cj0XfYfmBUCgUCrnjURlR6KJVqVIl3L17t8DX4+LiUKFCheLIVCA/Pz84OjpiypQpaNy4MZydnbFq1SoEBwfj0aNHAP45u5aUlJRruaSkJFhZWeVZ34kTJ3Djxg0MGzZM5SyHDx9GWFgYdHR0oKOjg/bt2wP45/c0c+bMIuwdERGpw8e2dXFo2nr0/KQjchQ58N29CgNXTsLTF8lyR6MyoNBFy9nZGd7e3sjKysrzWmZmJn788cd8vwOxOL18+TLPvVDa2toAoPz6BQcHhzw3tYeHhyufYv+/goKC0Lx5c9jb26ucZceOHbhw4QJiY2MRGxuLdevWAfinvI0ZM0bl9RERkfqUMzDGyqGzsWjwNBjo6uPIlT/h5OOKU3+flzsalXI6hR34008/oUWLFqhTpw7GjBmD+vXrQwiBa9euYdWqVcjMzMTGjRtV2nh6ejpu3bql/DkuLg6xsbGoUKECqlatCi8vLzx48AChoaEAgK5du2L48OEICAiAs7MzHj16hAkTJqBly5awsbEBAHh4eKBNmzZYuHAhunTpgi1btuDcuXNYs2ZNrm2npaUhLCwMCxcuzDfb/fv38fz5c9y/fx85OTmIjY0FANSuXRvlypVDrVq1co3/95liDRo0eOdzt4iI6MOTJAkDHLuhaXU7jFg7DTcT7+GbxWMx+eth8PjKDdpa2nJHpNJIqODOnTuiU6dOQktLS0iSJCRJElpaWsLZ2VncvHlTlVUJIYQ4cuSIAJBncnNzE0II4ebmJtq0aZNrmWXLlomGDRsKQ0NDYW1tLQYOHCgSEhJyjdm2bZuoW7eu0NPTE3Z2dmLv3r15th0YGCgMDQ1FSkpKvtnc3NzyzXbkyJG37ktycrJKv4PU1FQBQKSmpqq0HBERFV3665diXMhsYTnyU2E58lPxzeIxIinlqdyxSIMU9v27SF/Bk5ycjJs3bwL45wyPuu/NKs34FTxERPLZenovPH9dgFdZr1HZtAJWDZ2Nz+t/Incs0gD8rkMNwaJFRCSvvx/FYcTa6bj+8DYkScKEr77F912GQke70HfXUBmk9u86JCIiKg3qWtfAPs8gDHTsBiEEFu8LxjdLxiH27lWcvBGNh8mP5Y5IGoxntGTGM1pERCXHzjMHMWXTPGRkvlTO05K04D/IEwMcu8mYjEoantEiIiJSUc+WzvhlTO5PoyuEAlM2zeWZLSoSFi0iIqL/kSPyPjU+R6HA2dsXZUhDmo5Fi4iI6H/UtLCFlpT37XHqprk4dPGEDIlIk7FoERER/Q8bcwv4D/KE9v99E4mWpIUqFayR+iodrqumYOb2pcjKfiNzStIUvBleZrwZnoioZHqY/Bhxj+NRw8IWFcuVh8+ulVh7eCsAoGn1hlg9zAfVKtnInJLkwudoaQgWLSIizbE/9hgmhPog9eULmBqWwxLX6ejc9Eu5Y5EM+KlDIiKiYvZVkzaI8A5Fsxp2SHuVjqGBnvDeuhCZb7LkjkYlFIsWERGRCmwrWmPP5ECM7jAQABB0JAxdF4zA3ScJMiejkohFi4iISEW62jqY2WscNo5ZiArGZrh4/zqcfF2x51yE3NGohGHRIiIiKqIOjRwRMX0jWtZqjPTXLzFy3XRM3TwPr7Jeyx2NSggWLSIiovdgY26BnZNWYXwnNwBA6PFd6DJvGG4l3pM5GZUELFpERETvSUdbB9NcRuPXcUtQ0cQcVx/cQke/Idjx1wG5o5HMWLSIiIiKSVu7Voj0DkXrus3wMvMVxoTMwqSNvnjJS4llFosWERFRMbIqXxlhE5ZjUhd3SJKEzVG/46u5Q3HjYZzc0UgGLFpERETFTFtLG1O7DkeYx3JUNq2AGw/voNPcb7Hl1B9yR6MPjEWLiIhITT6r3wKHp2/EF/U/waus15gQ6oNx639CxuuXckejD4RFi4iISI0qm1bEr+OXwLPbSGhJWgj7cx86zf0W1x7ckjsafQAsWkRERGqmraWNCZ2/xY5JK2FlVhk3E+/hq7nu+OXEbvArh0s3Fi0iIqIPxKFOU0RMD0Vbu1Z4/SYTkzfNxXfBM5H+OkPuaKQmLFpEREQfUCUTc2waswjePb6DtpY2dp09hA6+brh0/4bc0UgNWLSIiIg+MC0tLYxzdsXu7wPwkbkl4p4koMv8YQg5up2XEksZFi0iIiKZfFKrMcK9Q9Gx8WfIyn4Dry3+GL7WG2mv0uWORsWERYuIiEhGFcqZYcPoBZj9jQd0tLTxx/nDcPJ1Rey9a3JHo2LAokVERCQzSZIw0qk/fpuyBrYVrXH/6UN0nT8cayO38lKihmPRIiIiKiGa1bBDhHcoujT9Em9ysvFj2GJ8u/oHJGekyh2NiohFi4iIqAQxMzLBuhF+8O37PfR0dHHgwnE4+boh+s5luaNREbBoERERlTCSJMG9bW/8PmUtqleuggfPE9HdfyRWHdoEhUIhdzxSAYsWERFRCWVfrT7Cp21At+btka3IwU87l8M1YAqepafIHY0KiUWLiIioBDMxNEbgMB/MH/AD9HX0EHEpCh18XfHXrVi5o1EhsGgRERGVcJIkwfWLHtjnGYRallXxMPkxei4ag2UHNvBSYgnHokVERKQh7KrUwSGv9fjm007IUeRgzu4ADFgxEU/SnssdjQrAokVERKRBjA2MsHzITCwa7A1DXX0cvfoXnHxdEXUjWu5olA8WLSIiIg0jSRIGOHbFfq8Q1LWugaTUp+i9ZBwW7g1CjiJH7nj0P1i0iIiINFR9m5rY7xmMfq2/hkIosOD3tei71AOPU5/JHY3+D4sWERGRBjPWN8QS1+lYPmQmjPQNcfLGObTzGYTj187IHY3AokVERFQq9G71FQ56haDBR7Xw9EUy+i7zwNw9q5Gdky13tDKNRYuIiKiUqGNVHft+CMLgz10ghMCS/evxzZJxeJT8WO5oZRaLFhERUSliqGeABQM9sdr9ZxjrG+HPmzFo7+uKyMun5I5WJrFoERERlUIun3RA+LT1aGRbF8/TUzBwxST8vHMF3vBS4gfFokVERFRK1bSsit+nrsW3bb4BAKw89At6LhyNhOeJMicrO1i0iIiISjEDXX349Z+MtcPnwMTAGGfvXIKTjysOXTwhd7QygUWLiIioDOjavB0ivENhX60BUl6mwXXVFMzcvhRZ2W/kjlaqsWgRERGVEdUqf4Tfp6zBiHb9AACBEb+iu/9I3Hv6UOZkpReLFhERURmip6OLn/pMwPpR82FmZIKYu1fRwdcVe2OOyB2tVGLRIiIiKoM6NfkCEd6haF7jY6S9Sod7oBembfFH5pssuaOVKixaREREZZRtRWvsnrwaYzoOAgAEH92OrguGI+5xvMzJSg8WLSIiojJMV1sHP/Yci1/GLEIFYzNcvH8DHea4Yc+5CLmjlQosWkRERASnRq0RMX0jPq1tj/TXLzFy3XRM3TQPr7Jeyx1No7FoEREREQDAxtwCOyauhEcnN0iShNATu9Bl3jDcSrwndzSNxaJFRERESjraOvByGY1fxy1BRRNzXH1wCx39hmD7X/vljqaRWLSIiIgojy8bforD0zfCsV5zvMx8hbEhszEx1BcveSlRJSxaRERElC9Ls0rY5rEM33dxhyRJ+PXU7/hq7lDceBgndzSNwaJFREREBdLW0saUrsMR5rEcFqYVcePhHXTyG4JfT/0BIYTc8Uo8Fi0iIiJ6p8/qt0Dk9FC0adASr95kYmKoD8at/wkZr1/KHa1EY9EiIiKiQqlsWhG/jlsCr+6joCVpYftf+9Fp7re4mnBT7mgllqxF6/jx4+jatStsbGwgSRJ27979zmU2bdoEe3t7GBkZwdraGkOHDsWzZ89yjQkLC0P9+vVhYGCARo0aYd++fblelyQp32nBggXKMb6+vmjdujWMjIxQvnz5PDkuXLiA/v37w9bWFoaGhmjQoAGWLl1apN8DERGRptDS0oLHV0Owc9IqWJevjJuJ99B53jBsPLGblxLzIWvRysjIgL29PVauXFmo8VFRUXB1dYW7uzuuXLmCsLAwnDlzBsOHD1eOOXXqFPr37w93d3fExMTAxcUFLi4uuHz5snLMo0ePck3BwcGQJAm9evVSjsnKykLv3r0xevTofLNER0fDwsICv/zyC65cuQJvb294eXlhxYoVRfxtEBERaY5WdZogYvpGtLNzwOs3mZiyaS5GB83Ai1cZckcrUSRRQuqnJEnYtWsXXFxcChzj7++PgIAA3L59Wzlv+fLlmDdvHhISEgAAffv2RUZGBv744w/lmFatWqFJkyZYvXp1vut1cXHBixcvEBkZmee19evXY8KECUhJSXnnPowZMwbXrl3D4cOH3zn2X2lpaTAzM0NqaipMTU0LvRwREVFJoFAoEBCxGXN2ByBHkYMalatgzXBfNKpaT+5oalXY92+NukfLwcEB8fHx2LdvH4QQSEpKwvbt29G5c2flmNOnT8PJySnXcs7Ozjh9+nS+60xKSsLevXvh7u7+3vlSU1NRoUKFt47JzMxEWlparomIiEhTaWlpYUzHQdgzeTU+qmCFuCcJ6DJ/GIKPbuelRGhY0XJ0dMSmTZvQt29f6OnpwcrKCmZmZrkuPSYmJsLS0jLXcpaWlkhMTMx3nRs2bICJiQl69uz5XtlOnTqFrVu3YsSIEW8d5+fnBzMzM+Vka2v7XtslIiIqCVrUbIQI7w1wbvw5srLfYNoWfwxf643Uly/kjiYrjSpaV69ehYeHB2bMmIHo6GgcOHAAd+/exahRo4q8zuDgYAwcOBAGBgZFXsfly5fRvXt3zJw5Ex07dnzrWC8vL6Smpiqn+Pj4Im+XiIioJDE3NsP60fPxU+8J0NXWwR/nD6PDHDfE3L0qdzTZ6MgdQBV+fn5wdHTElClTAACNGzeGsbExPv/8c/j4+MDa2hpWVlZISkrKtVxSUhKsrKzyrO/EiRO4ceMGtm7dWuRMV69eRfv27TFixAhMnz79neP19fWhr69f5O0RERGVZJIkYUT7fvikVmOMWOuN+08fotuCEfix51gMb9cXkiTJHfGD0qgzWi9fvoSWVu7I2traAKC8Duzg4JDnpvbw8HA4ODjkWV9QUBCaN28Oe3v7IuW5cuUK2rZtCzc3N/j6+hZpHURERKVR0+oNEeEdii5Nv8SbnGzMCFuCIQFTkZyRKne0D0rWopWeno7Y2FjExsYCAOLi4hAbG4v79+8D+Ocym6urq3J8165dsXPnTgQEBODOnTuIiorC+PHj0bJlS9jY2AAAPDw8cODAASxcuBDXr1/HrFmzcO7cOYwdOzbXttPS0hAWFoZhw4blm+3+/fvKLDk5Ocqc6enpAP65XNi2bVt07NgRkyZNQmJiIhITE/HkyZPi/jURERFpJDMjE6wb4Yc5/SZDT0cXBy+egJOvG87duSR3tA9HyOjIkSMCQJ7Jzc1NCCGEm5ubaNOmTa5lli1bJho2bCgMDQ2FtbW1GDhwoEhISMg1Ztu2baJu3bpCT09P2NnZib179+bZdmBgoDA0NBQpKSn5ZnNzc8s325EjR4QQQsycOTPf16tVq6bS7yA1NVUAEKmpqSotR0REpEku3LsmPp3eS1iO/FR8NLq1WHFwo8jJyZE7VpEV9v27xDxHq6zic7SIiKisePEqA5M3+WHPuQgAQPuPW2PZkBmoWK68vMGKoFQ+R4uIiIg0l4mhMVa7/4wFAz1hoKuPyMun4OQzGH/ejJU7mtqwaBEREdEHI0kSBn/ugn0/rENty2p4lPIEvRaPwdL966FQKOSOV+xYtIiIiOiDa1ilDg56heCbT79CjiIHfntWo//yCXiS9lzuaMWKRYuIiIhkYWxghOVDZmCx63QY6urj2LUzaO8zGCdvRMsdrdiwaBEREZFsJElC/9ZfY79XCOpa18DjtGfos2Qc/P9YhxxFjtzx3huLFhEREcmuvk1NHPAKQf/WXaEQCvj/sQ59l3ogKfWp3NHeC4sWERERlQhGegZY7OqNFd/OhJG+IU7eOIf2PoNx7OpfckcrMhYtIiIiKlG++fQrHPQKQcOPauPpi2T0Wz4Bc/esRnZOttzRVMaiRURERCVOHavq2PvDOrh+3gNCCCzZvx7fLB6Lh8mP5Y6mEhYtIiIiKpEM9Qwwf+APWO3+M8oZGOHPW7Fw8hmMyMun5I5WaCxaREREVKK5fNIB4dM2oHHVeniekYqBKybh550r8EYDLiWyaBEREVGJV8PCFr9PWYuhX34DAFh56Bf0WDgaCc8TZU72dixaREREpBH0dfUwp99krBsxB6aG5XDuziU4+bji4IXjckcrEIsWERERaZSvm7VDuHcomlRriJSXaXALmIqZYUuQlf1G7mh5sGgRERGRxqlWyQa/TQnEyPb9AACBkVvQbcFI3Hv6UOZkubFoERERkUbS09HF7N4TsGH0fJQ3MkXsvavo4OuKvTFH5I6mxKJFREREGs3Z/gtETA9Fi5qNkPYqHe6BXpi2xR9xj+Nx8ka0rM/ekoQQQratE9LS0mBmZobU1FSYmprKHYeIiEhjvcnJxtw9q7Hy0C+55mtJWvAf5IkBjt2KbVuFff/mGS0iIiIqFXS1dfBjz7FYNmRGrvkKocCUTXNlObPFokVERESlio25ZZ55OQoF4h7Hf/AsLFpERERUqtS0sIWWlLviaGtpoYaF7QfPwqJFREREpYqNuQX8B3lCW+ufmqOtpYUFAz1hY27xwbPofPAtEhEREanZAMdu+LJhK8Q9jkcNC1tZShbAokVERESllI25hWwF61+8dEhERESkJixaRERERGrCokVERESkJixaRERERGrCokVERESkJixaRERERGrCokVERESkJixaRERERGrCokVERESkJixaRERERGrCokVERESkJvyuQ5kJIQAAaWlpMichIiKiwvr3ffvf9/GCsGjJ7MWLFwAAW1tbmZMQERGRql68eAEzM7MCX5fEu6oYqZVCocDDhw9hYmICSZKKbb1paWmwtbVFfHw8TE1Ni229JUlp30fun+Yr7fvI/dN8pX0f1bl/Qgi8ePECNjY20NIq+E4sntGSmZaWFqpUqaK29ZuampbKP57/Vdr3kfun+Ur7PnL/NF9p30d17d/bzmT9izfDExEREakJixYRERGRmrBolVL6+vqYOXMm9PX15Y6iNqV9H7l/mq+07yP3T/OV9n0sCfvHm+GJiIiI1IRntIiIiIjUhEWLiIiISE1YtIiIiIjUhEWLiIiISE1YtDTYypUrUb16dRgYGODTTz/FmTNn3jo+LCwM9evXh4GBARo1aoR9+/Z9oKRFo8r+rV+/HpIk5ZoMDAw+YFrVHD9+HF27doWNjQ0kScLu3bvfuczRo0fRrFkz6Ovro3bt2li/fr3ac74PVffx6NGjeY6hJElITEz8MIFV5Ofnh08++QQmJiawsLCAi4sLbty48c7lNOXvsCj7p2l/hwEBAWjcuLHyYZYODg7Yv3//W5fRlOMHqL5/mnb8/mvu3LmQJAkTJkx467gPfQxZtDTU1q1bMWnSJMycORPnz5+Hvb09nJ2d8fjx43zHnzp1Cv3794e7uztiYmLg4uICFxcXXL58+QMnLxxV9w/458m/jx49Uk737t37gIlVk5GRAXt7e6xcubJQ4+Pi4tClSxe0bdsWsbGxmDBhAoYNG4aDBw+qOWnRqbqP/7px40au42hhYaGmhO/n2LFjGDNmDP7880+Eh4fjzZs36NixIzIyMgpcRpP+Douyf4Bm/R1WqVIFc+fORXR0NM6dO4d27dqhe/fuuHLlSr7jNen4AarvH6BZx+9/nT17FoGBgWjcuPFbx8lyDAVppJYtW4oxY8Yof87JyRE2NjbCz88v3/F9+vQRXbp0yTXv008/FSNHjlRrzqJSdf9CQkKEmZnZB0pXvACIXbt2vXXM1KlThZ2dXa55ffv2Fc7OzmpMVnwKs49HjhwRAERycvIHyVTcHj9+LACIY8eOFThG0/4O/1dh9k+T/w7/ZW5uLtatW5fva5p8/P71tv3T1OP34sULUadOHREeHi7atGkjPDw8ChwrxzHkGS0NlJWVhejoaDg5OSnnaWlpwcnJCadPn853mdOnT+caDwDOzs4FjpdTUfYPANLT01GtWjXY2tq+819tmkaTjt/7atKkCaytrdGhQwdERUXJHafQUlNTAQAVKlQocIwmH8fC7B+guX+HOTk52LJlCzIyMuDg4JDvGE0+foXZP0Azj9+YMWPQpUuXPMcmP3IcQxYtDfT06VPk5OTA0tIy13xLS8sC72dJTExUabycirJ/9erVQ3BwMPbs2YNffvkFCoUCrVu3RkJCwoeIrHYFHb+0tDS8evVKplTFy9raGqtXr8aOHTuwY8cO2Nra4ssvv8T58+fljvZOCoUCEyZMgKOjIz7++OMCx2nS3+H/Kuz+aeLf4aVLl1CuXDno6+tj1KhR2LVrFxo2bJjvWE08fqrsnyYevy1btuD8+fPw8/Mr1Hg5jqGO2tZM9AE5ODjk+lda69at0aBBAwQGBuLnn3+WMRkVVr169VCvXj3lz61bt8bt27exePFibNy4UcZk7zZmzBhcvnwZJ0+elDuKWhR2/zTx77BevXqIjY1Famoqtm/fDjc3Nxw7dqzAMqJpVNk/TTt+8fHx8PDwQHh4eIm+aZ9FSwNVqlQJ2traSEpKyjU/KSkJVlZW+S5jZWWl0ng5FWX//ktXVxdNmzbFrVu31BHxgyvo+JmamsLQ0FCmVOrXsmXLEl9exo4diz/++APHjx9HlSpV3jpWk/4O/6XK/v2XJvwd6unpoXbt2gCA5s2b4+zZs1i6dCkCAwPzjNXE46fK/v1XST9+0dHRePz4MZo1a6acl5OTg+PHj2PFihXIzMyEtrZ2rmXkOIa8dKiB9PT00Lx5c0RGRirnKRQKREZGFnjt3cHBIdd4AAgPD3/rtXq5FGX//isnJweXLl2CtbW1umJ+UJp0/IpTbGxsiT2GQgiMHTsWu3btwuHDh1GjRo13LqNJx7Eo+/dfmvh3qFAokJmZme9rmnT8CvK2/fuvkn782rdvj0uXLiE2NlY5tWjRAgMHDkRsbGyekgXIdAzVdps9qdWWLVuEvr6+WL9+vbh69aoYMWKEKF++vEhMTBRCCDF48GDh6empHB8VFSV0dHSEv7+/uHbtmpg5c6bQ1dUVly5dkmsX3krV/Zs9e7Y4ePCguH37toiOjhb9+vUTBgYG4sqVK3Ltwlu9ePFCxMTEiJiYGAFALFq0SMTExIh79+4JIYTw9PQUgwcPVo6/c+eOMDIyElOmTBHXrl0TK1euFNra2uLAgQNy7cI7qbqPixcvFrt37xY3b94Uly5dEh4eHkJLS0tERETItQtvNXr0aGFmZiaOHj0qHj16pJxevnypHKPJf4dF2T9N+zv09PQUx44dE3FxceLixYvC09NTSJIkDh06JITQ7OMnhOr7p2nHLz///dRhSTiGLFoabPny5aJq1apCT09PtGzZUvz555/K19q0aSPc3Nxyjd+2bZuoW7eu0NPTE3Z2dmLv3r0fOLFqVNm/CRMmKMdaWlqKzp07i/Pnz8uQunD+fZTBf6d/98nNzU20adMmzzJNmjQRenp6ombNmiIkJOSD51aFqvs4b948UatWLWFgYCAqVKggvvzyS3H48GF5whdCfvsGINdx0eS/w6Lsn6b9HQ4dOlRUq1ZN6OnpicqVK4v27dsrS4gQmn38hFB9/zTt+OXnv0WrJBxDSQgh1He+jIiIiKjs4j1aRERERGrCokVERESkJixaRERERGrCokVERESkJixaRERERGrCokVERESkJixaRERERGrCokVERESkJixaRET/p3r16liyZIncMd4qKCgIHTt2VGmZp0+fwsLCAgkJCWpKRUQFYdEiIo3XtWtXdOrUKd/XTpw4AUmScPHiRZXXK0kSdu/e/Z7pis/r16/x448/YubMmQCAcePGoUGDBvmOvX//PrS1tfHbb7+hUqVKcHV1VS5HRB8OixYRaTx3d3eEh4fne8YmJCQELVq0QOPGjWVIVry2b98OU1NTODo6Avhnv69fv45Tp07lGbt+/XpYWFigc+fOAIBvv/0WmzZtwvPnzz9oZqKyjkWLiDTe119/jcqVK2P9+vW55qenpyMsLAzu7u4AgB07dsDOzg76+vqoXr06Fi5cWOA6q1evDgDo0aMHJElS/nz79m10794dlpaWKFeuHD755BNERETkWvbRo0fo0qULDA0NUaNGDWzevDnPZcmUlBQMGzYMlStXhqmpKdq1a4cLFy68dT+3bNmCrl27Kn9u0qQJmjVrhuDg4FzjhBBYv3493NzcoKOjAwCws7ODjY0Ndu3a9dZtEFHxYtEiIo2no6MDV1dXrF+/HkII5fywsDDk5OSgf//+iI6ORp8+fdCvXz9cunQJs2bNwo8//pinnP3r7NmzAP45I/bo0SPlz+np6ejcuTMiIyMRExODTp06oWvXrrh//75yWVdXVzx8+BBHjx7Fjh07sGbNGjx+/DjX+nv37o3Hjx9j//79iI6ORrNmzdC+ffu3nnE6efIkWrRokWueu7s7tm3bhoyMDOW8o0ePIi4uDkOHDs01tmXLljhx4sRbfpNEVOwEEVEpcO3aNQFAHDlyRDnv888/F4MGDRJCCDFgwADRoUOHXMtMmTJFNGzYUPlztWrVxOLFi5U/AxC7du1657bt7OzE8uXLc+U4e/as8vWbN28KAMp1nzhxQpiamorXr1/nWk+tWrVEYGBgvttITk4WAMTx48fzzDcwMBAhISHKeYMHDxafffZZnnVMnDhRfPnll+/cHyIqPjyjRUSlQv369dG6dWvlZbRbt27hxIkTysuG165dU97b9C9HR0fcvHkTOTk5hd5Oeno6Jk+ejAYNGqB8+fIoV64crl27pjyjdePGDejo6KBZs2bKZWrXrg1zc3PlzxcuXEB6ejoqVqyIcuXKKae4uDjcvn073+2+evUKAGBgYJBrfvny5dGzZ0/lfqelpWHHjh3K/f5fhoaGePnyZaH3lYjen47cAYiIiou7uzvGjRuHlStXIiQkBLVq1UKbNm2KdRuTJ09GeHg4/P39Ubt2bRgaGuKbb75BVlZWodeRnp4Oa2trHD16NM9r5cuXz3eZihUrQpIkJCcn53nN3d0d7du3x61bt3DkyBFoa2ujd+/eecY9f/4clStXLnROInp/PKNFRKVGnz59oKWlhc2bNyM0NBRDhw6FJEkAgAYNGiAqKirX+KioKNStWxfa2tr5rk9XVzfP2a6oqCgMGTIEPXr0QKNGjWBlZYW7d+8qX69Xrx6ys7MRExOjnHfr1q1cBalZs2ZITEyEjo4OateunWuqVKlSvln09PTQsGFDXL16Nc9rbdu2RY0aNRASEoKQkBD069cPxsbGecZdvnwZTZs2zXf9RKQeLFpEVGqUK1cOffv2hZeXFx49eoQhQ4YoX/v+++8RGRmJn3/+GX///Tc2bNiAFStWYPLkyQWur3r16oiMjERiYqKyKNWpUwc7d+5EbGwsLly4gAEDBkChUCiXqV+/PpycnDBixAicOXMGMTExGDFiBAwNDZWlz8nJCQ4ODnBxccGhQ4dw9+5dnDp1Ct7e3jh37lyBeZydnXHy5Mk88yVJwtChQxEQEIDTp0/ne9nw5cuXiI6OVvlhp0T0nuS+SYyIqDidOnVKABCdO3fO89r27dtFw4YNha6urqhatapYsGBBrtf/ezP8b7/9JmrXri10dHREtWrVhBBCxMXFibZt2wpDQ0Nha2srVqxYIdq0aSM8PDyUyz18+FB89dVXQl9fX1SrVk1s3rxZWFhYiNWrVyvHpKWliXHjxgkbGxuhq6srbG1txcCBA8X9+/cL3LcrV64IQ0NDkZKSkue1+Ph4oaWlJezs7PJddvPmzaJevXoFrpuI1EMS4n8+C01ERMUuISEBtra2iIiIQPv27d9rXb1790azZs3g5eWl0nKtWrXC+PHjMWDAgPfaPhGphpcOiYiK2eHDh/Hbb78hLi4Op06dQr9+/VC9enV88cUX773uBQsWoFy5ciot8/TpU/Ts2RP9+/d/7+0TkWp4RouIqJgdPHgQ33//Pe7cuQMTExO0bt0aS5YsQbVq1eSORkQfGIsWERERkZrw0iERERGRmrBoEREREakJixYRERGRmrBoEREREakJixYRERGRmrBoEREREakJixYRERGRmrBoEREREanJ/wNxIYGvOifw3AAAAABJRU5ErkJggg==", "text/plain": ["
"]}, "metadata": {}, "output_type": "display_data"}], "source": ["n_eff = [sim_data.n_eff.isel(mode_index=0, f=0).item() for sim_data in batch_data.values()]\n", "\n", "_ = plt.plot(voltages, n_eff, \".-\")\n", "_ = plt.ticklabel_format(style=\"plain\", useOffset=False)\n", "plt.gca().set(xlabel=\"Voltage (V)\", ylabel=\"Optical Effective Index\")\n", "\n", "plt.show()"]}, {"cell_type": "code", "execution_count": 26, "id": "8093b264", "metadata": {}, "outputs": [{"name": "stdout", "output_type": "stream", "text": ["V\u03c0\u00b7L (push-pull) = 1.60 V\u00b7cm\n"]}], "source": ["# The variation is quite linear, so we simply use the largest interval\n", "dneff_dV = abs(n_eff[-1] - n_eff[0]) / (voltages[-1] - voltages[0])\n", "\n", "vpil = 0.5 * opt_wavelength / dneff_dV # in V\u00b7\u03bcm\"\n", "\n", "print(f\"V\u03c0\u00b7L (push-pull) = {vpil * 1e-4 / 2:.2f} V\u00b7cm\")"]}], "metadata": {"kernelspec": {"display_name": "td2100rc2", "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": "3.11.13"}, "applications": ["Active photonic integrated circuit components"], "feature_image": "./img/TFLN_EOM_Tidy3D.png", "title": "How to model a TFLN EOM using Tidy3D | Flexcompute", "keywords": "lithium niobate, electro-optic modulation, mode analysis, Tidy3D, FDTD", "description": "This notebook demonstrates how to model a thin-film lithium niobate electro-optic modulator"}, "nbformat": 4, "nbformat_minor": 5} \ No newline at end of file diff --git a/docs/case_studies/pic_active.rst b/docs/case_studies/pic_active.rst index 15844c30..b64f0460 100644 --- a/docs/case_studies/pic_active.rst +++ b/docs/case_studies/pic_active.rst @@ -15,3 +15,4 @@ At the moment, Tidy3D’s heat solver can be used with the FDTD solver to model ../../HeatDissipationSOI ../../TransientThermoOpticShifter ../../CPOHeat + ../../TFLNTidy3d \ No newline at end of file diff --git a/img/TFLN_EOM_Tidy3D.png b/img/TFLN_EOM_Tidy3D.png new file mode 100644 index 00000000..ba624a87 Binary files /dev/null and b/img/TFLN_EOM_Tidy3D.png differ