{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# SiN-to-AlOx integrated waveguide vertical coupler\n",
"\n",
"This notebook models optical coupling between a silicon nitride (SiN)\n",
"waveguide and an alumina (Al₂O₃ / AlOx) waveguide stack relevant to\n",
"monolithically integrated Er-doped Al₂O₃ amplifiers on a silicon\n",
"photonics platform. The simulated device element is an interlayer taper\n",
"coupler: a SiN waveguide transitions from a wide section to a narrow tip\n",
"while an AlOx waveguide transitions from a narrow tip to a wider section\n",
"above it, separated by a spacer and including a SiO₂ gap layer within\n",
"the SiN stack, with the goal of transferring the guided mode efficiently\n",
"between layers near the C-band. The design is based on\n",
"`C. E. Osornio-Martinez, D. B. Bonneville, I. Hegeman, M. Dijkstra, Q. Segondat, R. Dekker, and S. M. García-Blanco, \"Monolithically integrated erbium-doped polycrystalline Al2O3 waveguide amplifier on silicon photonics platform,\" Opt. Express 33, 23491-23502 (2025).`\n",
"[DOI: 10.1364/OE.562888](https://doi.org/10.1364/OE.562888).\n",
"\n",
"![\"shematic](\"img/vertical_coupler.png\")
\n",
"\n",
"The workflow first runs a set of mode-solver simulations to visualize\n",
"modal fields and quantify mode overlap versus horizontal shift of the\n",
"waveguide at multiple wavelengths, identifying alignment sensitivity.\n",
"Then, it sets up an eigenmode expansion (EME) model and performs a\n",
"length sweep of the taper region to study how transmission/coupling\n",
"behavior evolves with taper length. Finally, an FDTD simulation is\n",
"performed to verify the device performance."
],
"id": "e2bdef65-115e-404a-ace9-40efb6fb3341"
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"import matplotlib.pyplot as plt\n",
"import numpy as np\n",
"import tidy3d as td\n",
"import tidy3d.web as web"
],
"id": "600f893a"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Simulation Setup\n",
"\n",
"We start with the basic simulation setup by defining the wavelength\n",
"range of interest, materials, and geometries of the vertical coupler.\n",
"See the referenced paper for details of the design and layer stack."
],
"id": "e182cfed-b52a-41f9-a856-24030b6a11aa"
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"# Define central wavelength and corresponding frequency\n",
"lda0 = 1.55\n",
"freq0 = td.C_0 / lda0\n",
"\n",
"# Define wavelength range and convert to frequencies\n",
"ldas = np.linspace(1.48, 1.62, 3)\n",
"freqs = td.C_0 / ldas\n",
"\n",
"# Source bandwidth\n",
"fwidth = 0.5 * (np.max(freqs) - np.min(freqs))"
],
"id": "89828abc"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We will create a lossless AlOx medium using a constant refractive index,\n",
"and we will load predefined SiN and oxide materials from the [material\n",
"library](https://docs.flexcompute.com/projects/tidy3d/en/latest/api/material_library.html)."
],
"id": "182e1bbe-9b67-4794-92e6-ea6d35b3887e"
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"n_AlOx = 1.724 # Refractive index for AlOx\n",
"\n",
"AlOx = td.Medium.from_nk(\n",
" n=n_AlOx, k=0, freq=freq0\n",
") # Create AlOx medium using constant n and zero extinction (lossless)\n",
"\n",
"SiN = td.material_library[\"Si3N4\"][\n",
" \"Luke2015Sellmeier\"\n",
"] # Silicon nitride material model from library\n",
"\n",
"SiO2 = td.material_library[\"SiO2\"][\n",
" \"Palik_LowLoss\"\n",
"] # Lossless silicon dioxide model from Palik in material library"
],
"id": "adff18d6"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Define geometric parameters for a multilayer SiN stack and an AlOx\n",
"layer."
],
"id": "0eee58d9-6640-408e-8935-3660218fdb38"
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"w_SiN_tip = 0.3 # SiN tip width\n",
"w_SiN_wg = 1.2 # SiN waveguide width\n",
"\n",
"t_SiN_top = 0.175 # SiN top layer thickness\n",
"t_SiN_gap = 0.1 # Gap thickness between SiN layers\n",
"t_SiN_bottom = 0.075 # SiN bottom layer thickness\n",
"t_SiN = t_SiN_bottom + t_SiN_gap + t_SiN_top # Total SiN stack thickness\n",
"\n",
"t_spacer = 0.35 # Spacer layer thickness\n",
"\n",
"w_AlOx_tip = 0.2 # AlOx tip width\n",
"w_AlOx_wg = 1.75 # AlOx waveguide width\n",
"t_AlOx = 0.75 # AlOx layer thickness\n",
"\n",
"sidewall_angle = np.deg2rad(10) # Sidewall angle in radians (converted from degrees)\n",
"inf_eff = 1e4 # Effective infinity"
],
"id": "2d582198"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We design the vertical coupler by optimizing the taper length and the\n",
"horizontal offset between the AlOx and SiN waveguides. To support this,\n",
"we define a `create_structures` function that generates the coupler\n",
"geometry for a given taper length and horizontal shift."
],
"id": "01f05636-e400-4db1-a4df-34145a723608"
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"def create_structures(l_taper, y_shift):\n",
" \"\"\"Create simulation structures for a coupled SiN–AlOx taper with an SiO2 gap.\n",
"\n",
" Args:\n",
" l_taper: Taper length used for both SiN and AlOx polygon definitions.\n",
" y_shift: Vertical (y-axis) offset applied to the AlOx waveguide geometry.\n",
"\n",
" Returns:\n",
" List of `td.Structure` objects in the order: [AlOx waveguide, SiN waveguide, SiO2 gap].\n",
" \"\"\"\n",
" # Define SiN taper polygon (x, y) vertices, centered about y = 0\n",
" vertices = [\n",
" (-inf_eff, -w_SiN_wg / 2),\n",
" (-inf_eff, w_SiN_wg / 2),\n",
" (0, w_SiN_wg / 2),\n",
" (l_taper, w_SiN_tip / 2),\n",
" (l_taper, -w_SiN_tip / 2),\n",
" (0, -w_SiN_wg / 2),\n",
" ]\n",
"\n",
" # Create SiN waveguide geometry as an extruded polygon in z\n",
" SiN_wg_geometry = td.PolySlab(\n",
" vertices=vertices,\n",
" axis=2,\n",
" slab_bounds=(0, t_SiN),\n",
" sidewall_angle=sidewall_angle,\n",
" reference_plane=\"top\",\n",
" )\n",
"\n",
" # Wrap SiN geometry into a structure with the SiN material\n",
" wg_SiN = td.Structure(geometry=SiN_wg_geometry, medium=SiN)\n",
"\n",
" # Create SiO2 gap layer as a box spanning the full simulation x/y extents\n",
" SiO2_gap = td.Structure(\n",
" geometry=td.Box.from_bounds(\n",
" rmin=(-inf_eff, -inf_eff, t_SiN_bottom), # bottom of gap in z\n",
" rmax=(inf_eff, inf_eff, t_SiN_bottom + t_SiN_gap), # top of gap in z\n",
" ),\n",
" medium=SiO2,\n",
" )\n",
"\n",
" # Define AlOx taper polygon vertices with vertical offset (y_shift)\n",
" vertices = [\n",
" (0, -w_AlOx_tip / 2 + y_shift),\n",
" (0, w_AlOx_tip / 2 + y_shift),\n",
" (l_taper, w_AlOx_wg / 2 + y_shift),\n",
" (inf_eff, w_AlOx_wg / 2 + y_shift),\n",
" (inf_eff, -w_AlOx_wg / 2 + y_shift),\n",
" (l_taper, -w_AlOx_wg / 2 + y_shift),\n",
" ]\n",
"\n",
" # Create AlOx waveguide geometry (positioned above SiN with spacer and AlOx thickness)\n",
" AlOx_wg_geometry = td.PolySlab(\n",
" vertices=vertices,\n",
" axis=2,\n",
" slab_bounds=(t_SiN + t_spacer, t_SiN + t_spacer + t_AlOx),\n",
" sidewall_angle=sidewall_angle,\n",
" reference_plane=\"top\",\n",
" )\n",
"\n",
" # Wrap AlOx geometry into a structure with the AlOx material\n",
" wg_AlOx = td.Structure(geometry=AlOx_wg_geometry, medium=AlOx)\n",
"\n",
" # Return structures in the intended stacking/usage order\n",
" return [wg_AlOx, wg_SiN, SiO2_gap]"
],
"id": "aa84e0ae"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Mode Overlap Calculation for Misalignment Analysis\n",
"\n",
"We first optimize the horizontal offset by maximizing the mode-overlap\n",
"integral. This requires running mode-solver simulations across a range\n",
"of horizontal offsets."
],
"id": "e586cd65-24aa-4169-8b40-c8fad60ca3e4"
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
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35ptv2q97Po7Y1BpOqbZ5LEFtIgAAAACIuijM\nfwQofVixYoUOPPBALVy4ULFYTDNnztSRRx5pbP1DDjnEfv3444+X3e4f//iHpPVP2tlnn32Mr+GE\n/jaPJYhNBAAAAABRFpX5jwCljJaWFh100EGaP3++amtr9ac//Ulf+tKXjO7jgAMO0JgxYyRJv/zl\nL5XP5zfYZuHChfr73/8uSfriF7/Y62k6ptYwbaDNYwlaEwEAAABAVEVp/iNAKWHt2rU69NBDNXfu\nXNXU1OgPf/iDTjnllH6vc9VVV+mCCy7QD3/4w5JfTyQS+tGPfiRJeu2113TRRRepUCjYX29tbdWJ\nJ56oTCajurq6kuuYWMOkwTaPJUhNBAAAAABRFLX5j6fwlPD1r39dr776qiRp66231jvvvKMLLrig\n7PaTJ0/W17/+9Q1+/7bbbtN//vMfDR8+XJdddlnJ7z3nnHP01FNP6b777tM111yjWbNmadq0aUql\nUnr44YfV2toqSfrtb3+rSZMmObaGCdls1kjzWIJ8d2YAAAAACDNT4YklCPMfAUoJy5cvt1/Pnz9f\n1157bZ/bH3jggSUDlGrU1NRo5syZ2nbbbXXttddq3rx5mjdvnv31cePG6Ve/+pWOOuooR9cYrFgs\npu7ubtXX10safPNYgtBEAAAAABAlpsMTi9/nPwKUEs4991wdccQRVW+/xRZblPz9iy66SJ9++qkd\nKpSTSCR02WWX6aKLLtKcOXO0ePFiJZNJTZ48WVOnTlVtbeUrrUysMRiJRMJ+bap5LH5vIgAAAACI\nCqfCE4uf5z8ClBJOOOEEI+ucfvrp/dp+6NChg37Kj4k1BsN081j83EQAAAAAEAVOhycWv85/3EQW\nxtTV1Tn6Ax2UGwsBAAAAQNi4FZ5Y/Dj/EaDAiEwmo3jc+ROa/NhEAAAAABBmbocnFr/NfwQoMCKX\ny7m2L781EQAAAACElVfhicVP8x8BCgLJT00EAAAAAGHkdXhi8cv8R4CCwPJLEwEAAABA2PglPLH4\nYf4jQEGg+aGJAAAAACBMstmsr8ITi9fzHwEKAs/rJgIAAACAsMhms0qn0/Z7v4QnFi/nPwIUhAIh\nCgAAAAAMXiaTsV/7LTyxeDX/EaAgNEw3UTabNXBUAAAAABA8fg1PLF6EKHFHVwdcZjW4db2e9c/+\nNj7hCQAAAICoSiaTvg5PLKbmv2pxBgpCZ7BJZCqV6nXNHwAAAABERSKRUDwenHMt3DwTJTh/KkA/\nDDSJLH5UFwAAAABESTwe73UflCAoN/8lEgmj++EMFIRWf5PI4vDEdLMBAAAAAJxRav7r7Ow0ug8C\nFIRatSFKcXiSTCYDddoaAAAAAERd8fzX3t5u9C/GCVAQepVClOLwpLm5mfAEAAAAAAKoeP5LJpPG\n1mZKRCSUuyau+LX1qK6Ojg4Xjw4AAAAAYIo1/7W0tBhdlwAFkdFXiCL5/znnAAAAAIDqNDY2KpvN\nqr293diaXMKDSCk+nctCeAIAAAAA4dLQ0KB0Om1sPQIUAAAAAACACghQECnFN4y1VHrEMQAAAAAg\nWDo7O43eRJYABZFR6mk71TziGAAAAAAQLKlUyuj9TyRuIouIKBWe9LznSbkbywIAAAAAgqXclQeD\nRYCC0KsUnlR6Og8AAAAAIBiK5z9uIgtUqVJ4Yil+Ok86nVY2m3XhCAEAAAAAJhTPf01NTcpkMsbW\n5wwUhFa14Yml+EwUk40GAAAAAHBOqfkvkUgY3QdnoCCU+hueWIrPRAEAAACAKAnimfgDnf/6iwAF\noTPY5mlsbDT6qCsAAAAACIpMJhOoEMWt8EQiQEHImGqeeDxu/HQvAAAAAAiCdDqtVCrl9WFU5GZ4\nIhGgIERMN088zi2CAAAAAERTW1ubr0MUt8MTiQAFIeFF8wAAAABA2PQ8E9+vIYpX8x8BCgKP8AQA\nAAAAzIjH473uCem3EMXL+Y8ABYFGeAIAAAAAZsXj8V5PJ/VLiOL1/EeAgsDyunkAAAAAIKwaGxt9\nFaL4Yf4jQEEg+aF5AAAAACDM/BKi+GX+I0CBEbFYzLV9+aV5AAAAACDsvA5R/DT/EaDAiEQioWw2\n6/h+/NQ8AAAAABAFXoUofpv/CFBgTHd3t6NN5LfmAQAAAICocDtE8eP8R4ACo5xqIj82DwAAAABE\niVshil/nPwIUGJHJZOzXppvIr80DAAAAAFHjdIji5/mPAAVG5HI51dXV2e9NNZGfmwcAAAAAosip\nEMXv8x8BCoyJx+NGm8jvzQMAAAAAUWU6RAnC/EeAAqNMNVEQmgcAAAAAoixq8x8BCowbbBMFpXkA\nAAAAIOqiNP8RoMARA22iIDUPAAAAACA68x8BChzT3yYKWvMAAAAAANaLwvxHgAJHVdtEQWweAAAA\nAMB/hX3+I0CB4yo1UVCbBwAAAADQW5jnv7jXB4BosBrCapSeDRPU5gEAAAAAbCis8x8BClzTVxNJ\nwWseAAAAAEBpYZz/uIQHrio+ncsSxOYBAAAAAJQXtvmPAAUAAAAAAKACAhS4qviGQZZqnxMOAAAA\nAAiGsM1/BChwTam7LffnOeEAAAAAgGAI4/zHTWThikqPqiq+sVAQr4cDAAAAAIR3/uMMFDiuUvNU\nek44AAAAACAYwjz/EaDAUZWaxxLkJgIAAAAAhH/+4xIeOKba5rGUe054UE7nAgDADx585X2tWLPO\n68MAQmnCxk06bOcJXh8G4EtRmP8IUOCI/jaPJYhNBACAXxQKBf1r/jKl0hmvDwUIpRVrUgQoQAlR\nmf+4hAfGDbR5LEE9nQsAAK+t6ewmPAEctKJ9nbqzOa8PA/CVKM1/BCgwarDNYwlSEwEA4BfLWjq8\nPgQg1AoF6ZM2/p8UsERt/iNAgTHZbNZI81iC0kQAAPjF0lYCFMBpS1v5/1FAMheeWIIw/xGgwIhY\nLKbu7m77/WCbxxKEJgIAwC8IUADnLaPPAOPhicXv8x8BCoxIJBL2a1PNY/F7EwEA4BfL+JtxwHEE\nlYg6p8ITi5/nPwIUGGW6eSx+biIAAPwgl89rOfdmABzHvYYQZU6HJxa/zn8EKDCmrq7O0cdN+bWJ\nAADwg1Xtncrm8l4fBhB6azq71dHVXXlDIGTcCk8sfpz/CFBgRCaTUTwed3w/fmwiAAD8YCl/Kw64\nhst4EDVuhycWv81/BCgwIpfLubYvvzURAAB+wEAHuGdpC//viejwKjyx+Gn+I0BBIPmpiQAA8AOe\nDAK4h35DVHgdnlj8Mv8RoCCw/NJEAAD4wVKewAO4hjO+EAV+CU8sfpj/CFAQaH5oIgAAvNaVyWr1\n2k6vDwOIjOWtKeULBa8PA3BMNpv1VXhi8Xr+I0BB4HndRAAAeG05Z58Arkpnc/p0bZfXhwE4IpvN\nKp1O2+/9Ep5YvJz/CFAQCoQoAIAo43ICwH3cBwVhlclk7Nd+C08sXs1/BCgIDdNNlM1mDRwVAADO\nI0AB3EffIez8Gp5YvAhR4o6uDrjManDrej3rn/1tfMITAECQLGthkAPctpS+Q4glk0lfhycWU/Nf\ntTgDBaEz2CQylUr1uuYPAAA/KxQKPIEH8ACX8CCsEomE4vHgnGvh5pkoBCgIpYE2UfGjugAA8Lv2\nzm6l0pnKGwIwamV7pzLZnNeHARgXpPDE4laIQoCC0OpvExWHJ4lEwsGjAwDADO7DAHgjXyjokzXr\nvD4MAP+/UvNfZ2en0X0QoCDUqg1RisOTZDIZyOQVABA93P8E8A73QQH8pXj+a29vN/oX4wQoCL1K\nIUpxeNLc3Ex4AgAIDO5/AniHM8AA/yme/5LJpLG1mRIRCeXuzlz82npUV0cH/zEEAAQDAxzgHfoP\n8Cdr/mtpaTG6LgEKIqOvEEXy/3POAQAolsvntbyNM1AAr3AJHeBfjY2Nymazam9vN7Yml/AgUopP\n57IQngAAgmhVe6eyubzXhwFE1prObnV08RQswK8aGhqUTqeNrUeAAgAAEFBcPgB4bxl9CEQGAQoi\npfiGsRannhMOAICTGNwA7xFkAv7V2dlp9CayBCiIjFJP26nmEccAAPjV0hb+uwV4jfugAP6USqWM\n3v9E4iayiIhS4UnPe56Uu7EsAAB+xhkogPc4AwXwn3JXHgwWAQpCr1J4UunpPAAA+FFXJqtVazu9\nPgwg8pa1ppQvFFRbU+P1oQDQhvMfN5EFqlQpPLEUP50nnU4rm826cIQAAAzM8lYu3wH8IJ3N6dO1\nXV4fBgBtOP81NTUpkzH3pCwCFIRWteGJpThEMdloAACYxmUDgH9wOR3gvVLzX0NDg9F9EKAglPob\nnliKQxQAAPyKgQ3wDwJNhEkQz8Qf6PzXXwQoCJ3BNk9jY6PRR10BAOCEpVzCA/gGgSbCJJPJBCpE\ncSs8kQhQEDKmmicejyuRSBg8MgAAzCkUCgxsgI9wBgrCJp1OK5Xyf1DvZngiEaAgREw3TzzOQ6oA\nAP7U3tmtji7u1QX4xco1ncpkc14fBmBUW1ubr0MUt8MTiQAFIeFF8wAA4BX+thvwl3yhoE/WrPP6\nMAAjep6J79cQxav5jwAFgUd4AgCImmUtBCiA3yylLxES8Xi81z0h/RaieDn/EaAg0AhPAABRxA1k\nAf/hzDCESTwe7/V0Ur+EKF7PfwQoCCyvmwcAAK8wqAH+w42dETaNjY2+ClH8MP8RoCCQ/NA8AAB4\nIZ8v6JM27/8WEEBvnBmGMPJLiOKX+Y8ABUbEYjHX9uWX5gEAwAsr165TJpf3+jAAFFmzLq1Umqdj\nIXy8DlH8NP8RoMCIRCKhbDbr+H781DwAAHiBG8gC/sWNZBFWXoUofpv/CFBgTHd3t6NN5LfmAQDA\nC9z/BPAv+hNh5naI4sf5jwAFRjnVRH5sHgAAvLC0hfssAH7FGWIIO7dCFL/OfwQoZWSzWb3xxhu6\n5ZZbdOaZZ2rHHXfUqFGjNGrUKH372982vr9PP/1UV1xxhaZOnaottthCkydP1owZM/TnP/9Z+Xx1\n1zmbWGOgMpn/Xu9puon82jwAAHiBJ30A/sUZKIgCp0MUP89/ca8PwK8OOuggPfPMMyW/tnbtWqP7\nev7553Xsscfqk08+6fX7CxYs0COPPKJbbrlFf//73zVixAhH1xiMXC6nuro6+731Az/YH3Q/Nw8A\nAG5LZ3JavbbT68MAUMay1pTyhYJqa2q8PhTAUdZMZs1qUZn/PDkDJZ1Oa8mSJXr//fe1Zs0aLw6h\nopqaGu2888762te+pt///vd6+eWXHdnPRx99pCOPPFKffPKJNt54Y91+++366KOPNHfuXF100UWq\nra3Vv/71Lx1zzDFlzyIxsYYJ8XjcaBLp9+YBAMBty9s6VPD6IACUlc7m1NLR5fVhAK4wfSZKEOY/\nx89AKRQKev755/XUU0/p6aef1quvvqr29vZe2yQSCW299daaNm2apk2bpkMOOcSxMyWq9cQTT/R6\nNG9XlzMfhBdddJFaWlqUTCb11FNPacqUKfbXfv7zn2v06NH6zne+o2eeeUZ33XWXvvKVrziyhimm\nksggNA8AAG5b2sr9TwC/W9raoVHDGrw+DMAVUZv/HDsD5dNPP9U111yjrbfeWvvuu69+9KMf6amn\nntogPJHW3z/j3Xff1c0336wTTzxRY8eO1emnn+7YWR/V6BmeOGXJkiW67777JElnnXVWr+DD8q1v\nfUsTJkyQJF133XWOrGHaYJPIoDQPAABu4xGpgP9xI1lETZTmP+NnoHR0dOgXv/iFrr32WnV2/vca\n3fr6eu26666aMmWKRo4cqY022kjJZFKffvqpWlpatGjRIr300ktasWKFOjs7dfvtt+v222/X/vvv\nr+uuu0677LKL6UP13EMPPaRCYf2JuCeffHLJbWpra3XCCSfoF7/4hd544w0tXLjQDkNMreGEgSaR\nQWoeAADcxg0qAf+jTxFFUZn/jAYoM2fO1He/+137Rqbjxo3TKaecomOOOUa77rprr5uMlvPRRx/p\nySef1J133ql//vOfmjNnjnbbbTeddtppuv7669XU1GTykD310ksvSVp/CdPuu+9edrupU6far19+\n+eVe4YeJNZzS3yYKWvMAAOCmQqHAE3iAACBAQVRFYf4zegnPddddp08++UQHH3ywnnjiCX388cf6\n+c9/rj333LOq8ESSttxyS5111ll6+umntXDhQn3/+9/XkCFDdNttt2n+/PkmD9dz7733niRp/Pjx\nff75TJw40X49b94842s4qdrTuYLYPAAAuKm9s1sdXRmvDwNABSvXdCqTc+7BDYCfhX3+M3oGyvTp\n03XjjTf2OtthMDbffHNdfvnl+s53vqOrrrpKDQ3huhnTypUrJUljxozpc7tNN93Ufr1q1Srja1TS\n2tpa9ms9f+jLqZREBrV5AABwE2efAMGQLxT0SVtK4zca5vWhAJ4I8/xnNEC55pprTC5n22ijjfSL\nX/zCkbW91NGx/n+EKgVDPb9ufY/JNSoZOXJkv7YvpVwTFb8OUvMAAOAmnsADBMey1g4CFERaWOc/\nxx9jjPKsm7/W1NT0uV3Pr+fzvU8HNLGGW/pqIil4zQMAgJs4AwUIDu6DAoRz/iNA8VBjY6NaW1vV\n1dXV53Y9n2Y0dOhQ42tU0tLSUvZrbW1tve6vUklxE1mC2DwAALhpCY9GBQKDR44D64Vt/iNA8dBG\nG22kJUuWVLwnSc+vF19OY2KNSkaMGNGv7QEAgFn5/Pp7KgAIBi65A8LJ6FN4KlmyZIkuvfRS7b//\n/ho/fryGDx+uoUOH9vnr9ddfd/MQXbXNNttIkj7++GPlcrmy2y1cuNB+ve222xpfw03FNwyylLs7\nMwAAkFauXcdTPYAAWbMurVSap2YBYZv/XAtQZs6cqW222UY/+clP9PTTT2vJkiVqb29XKpXq81df\noUDQfeYzn5EkdXV16e233y673UsvvbTB95hcwy2l7rZczSOuAACIumVcDgAEDpfxIOrCOP+5cgnP\nG2+8oa9+9avK5XKKxWLab7/9tPPOO2vEiBGqre07wxk7dqwbh+iJo446ShdffLEk6f7779cuu+xS\ncrv7779fkrTVVltp++23N76GGyo9qqrcI64AAACXAwBBtKy1Q5M35VJ4RFNY5z9XApSbb75ZuVxO\n48aN02OPPaYddtjBjd363rbbbqvp06fr6aef1q9//Wudd9552nTTTXttc9999+nNN9+UJJ177rmO\nrOG0Ss1T6TnhAABEHU/gAYKHJ/EgqsI8/7lyCc+7774rSbr00ksjFZ7svffeGjVqlCZNmlR2m2uu\nuUZ1dXVqbW3VwQcfbF9q093drT/96U867bTTJK2/18k3vvENx9ZwSqXmsTQ2Ngb+dC4AAJzCIAYE\nzzLOHEMEhX3+c+UMlGHDhkmStttuOzd2Z8Sdd96p//mf/yn7tYceesh+P3To0F43abW0trbq008/\nVTabLbuf3XbbTXfccYdOPfVUvfPOO9prr71UX1+vTCZj3/9liy220COPPKJkMunYGk6otnksQU4i\nAQBwSjqT0+r2Tq8PA0A/LW3pUL5QUG1NjdeHArgiCvOfK2egWPflWLp0qRu7M6Krq0uffvppr1+W\ndDrd6/dXr149qH2dcMIJeu211/TlL39ZI0eOVFdXl/L5vCZOnKhLLrlEb731liZOnOj4Gib1t3ks\nQU0iAQBwyvK2DhW8PggA/ZbO5tTS0eX1YQCuiMr858oZKOeee66uu+463XbbbfrSl77kxi4H7Stf\n+YqOPvroqratKZMqv/jii8pmsxVvlCtJO+ywg/785z9LktatW6dEIqFEIlH18Zpaw4SBNo8liEkk\nAABO4QayQHAtbe3QqGENXh8G4KgozX+uBCjjx4/XXXfdpRNOOEHf+ta3dNVVV7l6KclAJJPJQR9j\nzyStP4YMGTKo/ZpaYyAG2zyWIDURAABO4lGoQHAta+nQzptv7PVhAI6J2vznSoAiSccee6yeeeYZ\nff3rX9eECRN01FFHafLkyRUH/WOPPVYbb8yHThBks1kjzWMJShMBAOAknsADBBc3gEaYmQpPLEGY\n/1wLUPL5vF599VV1dHTok08+0S233FLV9+2+++4EKAEQi8XU3d2t+vp6SYNvHksQmggAACcxgAHB\nxZN4EFamwxOL3+c/VwKUQqGg448/Xvfff78bu4MHet5rxVTzWPzeRAAAOKW9M62OrozXhwFggFas\nWadMLq9EzJVndwCucCo8sfh5/nMlQLn77rvt8OSoo47S2WefrZ122kkjRoyoeINVv98rBb2Zbh6L\nn5sIAACncP8TINjyhYI+aUtp/EbDvD4UwAinwxOLX+c/VwKUBx98UJJ00kknaebMmW7sEh6oq6tz\n9Afar00EAIBTeAIPEHzLWjsIUBAKboUnFj/Of66cS7Z8+XJJ0mmnnebG7uCBTCajeNz5PC5ozwkH\nAGAwuIEsEHzcxwhh4HZ4YvHb/OdKgLLZZptJkhoaeAZ6WOVyOdf25bcmAgDAKVzCAwTf0hb+PxXB\n5lV4YvHT/OdKgHLUUUdJkl566SU3docI8FMTAQDghHy+oOVt/LcNCDrOJEOQeR2eWPwy/7kSoBx/\n/PGaNm2arr76ai1atMiNXSIC/NJEAAA4YdXaTmVyea8PA8Agta1LK5XmaVoIHr+EJxY/zH+uBCjx\neFwPPfSQ9t13X+211166/fbb1dFBEovB80MTAQDgBO6bAIQHZ6EgaLLZrK/CE4vX858rT+H50pe+\npLlz50qSVq5cqdNPP11nnXWWNttsMw0ZMqTP773//vu1ww47uHGYCCg/3p0ZAIDB4v4nQHgsbenQ\n1mNGeH0YQFWy2azS6bSSyaQk/4QnFi/nP1cClIULF+o///lPr9/L5XJavHhxxe/t7Ox06rAQIoQo\nAICw4W+sgfDgjDIESSbz30vO/BaeWLya/1wJUI499ljtvvvuA/reTTbZxPDRIKxMN1E2mzVxWAAA\nDAgDFxAey1q5xBzB49fwxOJFiOJKgHLJJZe4sRvAWBMRngAAvJTO5LS6nbNwgbBY1tqhQqGgmpoa\nrw8FqEoymfR1eGJxO0Rx5SaygJsGe2OhVCqldDrtwJEBAFCd5W0pFbw+CADGdGVyauno8vowgKok\nEgnF466ca2GEmzeW9W2A8qc//Ul3332314eBgBpoExU/qgsAAC9w/xMgfLgsD0ERpPDE4laI4tsA\n5aqrrtLpp5/OI2kxYP1touLwJJFIOHh0AACUx6AFhM9S7oMCOKrU/Gf6oTSuREs/+9nPtHDhwqq3\nX7p0qd59911J0scff6ztt9/eoSND2FV7TVxxeJJMJgOZvAIAwoFHGAPhs7RlrdeHAIRe8fzX3t5u\n9C/GXZkQH3roIb322mv9/r6NN95YEyZMMH9AiJRKIUpxeNLc3KyODv7HFQDgHc5AAcKHJ/EA7iie\n/5LJpLG1XQlQttlmm4pPNUmn01q0aJHWrVsnSTr00EN14403asiQIW4cIkKuXIhS/Np6VBcBCgDA\nK+2daXV0Zbw+DACGrVizTplcXomYb++iAISGNf+1tLQYXdeVAOWuu+6qartsNqt77rlH5513nl5+\n+WVlMvzPA8zpK0SR/P+ccwBANCxt4W+pgTDKFwpa0ZbSuI2GeX0oQCQ0NjYqm82qvb3d2Jq+ij/j\n8bhOPvlk3XrrrWptbdV5553n9SEhZIpvLGQhPAEA+AVP4AHCi8vzAHc1NDQonU4bW89XAYrli1/8\nopqbm/Xss89q1apVXh8OAACAaxiwgPDiPihAsPkyQKmpqdH48eMlSZ9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}
}
],
"source": [
"# Buffer spacing\n",
"buffer_x = 5\n",
"buffer_y = 2.5\n",
"buffer_z = 2\n",
"\n",
"l_taper_0 = 100 # Base taper length used to define the simulation domain\n",
"\n",
"# Define a simulation domain box\n",
"sim_box = td.Box.from_bounds(\n",
" rmin=(-buffer_x, -w_AlOx_wg / 2 - buffer_y, -buffer_z),\n",
" rmax=(\n",
" l_taper_0 + buffer_x,\n",
" w_AlOx_wg / 2 + buffer_y,\n",
" t_SiN + t_spacer + t_AlOx + buffer_z,\n",
" ),\n",
")\n",
"\n",
"# Finite difference grid specification\n",
"grid_spec = td.GridSpec.auto(min_steps_per_wvl=30, wavelength=lda0)\n",
"\n",
"# Mode solving specification\n",
"mode_spec = td.ModeSpec(precision=\"double\", target_neff=2, num_modes=1)\n",
"\n",
"# Set up a mode simulation\n",
"mode_sim_c1 = td.ModeSimulation(\n",
" center=sim_box.center,\n",
" size=sim_box.size,\n",
" freqs=freqs,\n",
" grid_spec=grid_spec,\n",
" structures=create_structures(l_taper_0, 1),\n",
" plane=td.Box(center=(-buffer_x / 2, 0, 0), size=(0, td.inf, td.inf)),\n",
" mode_spec=mode_spec,\n",
" medium=SiO2,\n",
")\n",
"\n",
"# Plot the mode simulation\n",
"mode_sim_c1.plot(x=l_taper_0)\n",
"plt.show()"
],
"id": "6d8f2fc9"
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
""
]
}
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
""
]
}
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
"12:06:26 UTC Started working on Batch containing 12 tasks. \n",
""
]
}
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
"12:06:36 UTC Maximum FlexCredit cost: 0.088 for the whole batch. \n",
""
]
}
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
" Use 'Batch.real_cost()' to get the billed FlexCredit cost after \n",
" completion. \n",
""
]
}
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
""
]
}
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
"12:06:41 UTC Batch complete. \n",
""
]
}
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
""
]
}
}
],
"source": [
"mode_sim_c2 = mode_sim_c1.updated_copy(\n",
" plane=td.Box(\n",
" center=(0, 0, 0), size=(0, td.inf, td.inf)\n",
" ), # Update the mode plane to the y-z plane at x=0\n",
")\n",
"\n",
"y_shift_list = np.linspace(0, 1, 11) # Sweep y-shift values from 0 to 1 with 11 samples\n",
"mode_sims = {\n",
" f\"y_shift={y_shift:.2f}\": mode_sim_c2.updated_copy(\n",
" structures=create_structures(l_taper_0, y_shift)\n",
" )\n",
" for y_shift in y_shift_list # Build a dict of simulations keyed by formatted y-shift label\n",
"}\n",
"mode_sims[\"c1\"] = mode_sim_c1\n",
"\n",
"batch = web.Batch(simulations=mode_sims) # Create a batch job containing all simulations\n",
"batch_results = batch.run(path_dir=\"data\") # Run the batch"
],
"id": "9d34c1a7"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot the mode profiles."
],
"id": "50a475c1-1843-4602-b6b4-523c8464d164"
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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pyYVLpJPXcJb8hW40yvOwPYem5EJ9Hr8cf5yX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\nh5keAHBczK/vIYVhjQ9/75AUP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hyRvuvWratl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RfYRLpUqVArY555xzrOfeljT473//K0lyOBy66qqrvMZo27atOnfu7Na+tGAhUy9u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O0Tn/iEeeWVVwZ8rJUrV5pjjjkm9DgnnniiWb16ddX7aASdnZ1mxowZ/Z77mTNn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\n0QMAAAAokugBAAAAFOkrZ4FMz45BdG8AAAAASUVORK5CYII=\n"
}
}
],
"source": [
"fig, ax = plt.subplots(2, 1, figsize=(8, 8), tight_layout=True)\n",
"\n",
"batch_results[\"c1\"].plot_field(\"E\", \"abs\", f=freq0, vmax=30, ax=ax[0])\n",
"\n",
"batch_results[f\"y_shift={y_shift_list[0]:.2f}\"].plot_field(\n",
" \"E\",\n",
" \"abs\",\n",
" f=freq0,\n",
" vmax=30,\n",
" ax=ax[1],\n",
")\n",
"\n",
"plt.show()"
],
"id": "e110039c"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"The mode overlap integral can be calculated by the `outer_dot` method.\n",
"We plot the overlap as a function of horizontal shift and find that 1 µm\n",
"shift will significantly reduce the mode mismatch compared to a smaller\n",
"shift. For the rest of the design, we will use 1 µm shift."
],
"id": "3f89de09-e859-42c4-8219-abbaba1ccc04"
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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RZdjFlClT+PfffwH4+eefef311xNz1apVY/369ZQuXZqbN2/y3nvvsWNH0v8x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\nYMp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}
}
],
"source": [
"overlap = np.array(\n",
" [\n",
" # Compute the mode overlap between the shifted case and the reference (\"c1\") for each y-shift\n",
" batch_results[f\"y_shift={y_shift:.2f}\"]\n",
" .modes.outer_dot(\n",
" batch_results[\"c1\"].modes\n",
" ) # Outer product of modes to get overlaps between mode sets\n",
" .values.squeeze()\n",
" for y_shift in y_shift_list\n",
" ]\n",
")\n",
"\n",
"# Plot overlap magnitude (in dB) versus y-shift for each wavelength index\n",
"plt.plot(y_shift_list, 20 * np.log10(np.abs(overlap[:, 0])), label=\"1620 nm\")\n",
"plt.plot(y_shift_list, 20 * np.log10(np.abs(overlap[:, 1])), label=\"1550 nm\")\n",
"plt.plot(y_shift_list, 20 * np.log10(np.abs(overlap[:, 2])), label=\"1480 nm\")\n",
"\n",
"\n",
"plt.xlabel(\"y shift (μm)\")\n",
"plt.ylabel(\"Mode overlap (dB)\")\n",
"plt.grid()\n",
"plt.legend()\n",
"plt.show()"
],
"id": "0623865a"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## EME Simulation\n",
"\n",
"Next, we need to optimize the coupler length to maximize coupling\n",
"efficiency. EME enables this to be done very efficiently. We will sweep\n",
"the taper length from 100 µm to 1 mm."
],
"id": "5bdfcd64-69f3-4779-bb44-963000f3b5f5"
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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}
}
],
"source": [
"grid_1 = td.EMEUniformGrid(\n",
" num_cells=1, # Single EME cell for uniform sections\n",
" mode_spec=td.EMEModeSpec(num_modes=10, precision=\"double\"),\n",
")\n",
"grid_2 = td.EMEUniformGrid(\n",
" num_cells=60, # Finer discretization for the taper region\n",
" mode_spec=td.EMEModeSpec(num_modes=10, precision=\"double\"),\n",
")\n",
"\n",
"l_taper_list = np.linspace(100, 1000, 100) # Taper lengths to sweep\n",
"\n",
"eme_grid = td.EMECompositeGrid(\n",
" subgrids=[grid_1, grid_2, grid_1], # Left uniform -> taper -> right uniform\n",
" subgrid_boundaries=[\n",
" 0,\n",
" l_taper_0,\n",
" ], # Boundary location(s) between subgrids (taper starts at x=0, ends at x=l_taper_0)\n",
")\n",
"\n",
"y_shift_opt = 1 # Optimal vertical shift\n",
"\n",
"eme_sim = td.EMESimulation(\n",
" center=sim_box.center,\n",
" size=sim_box.size,\n",
" structures=create_structures(l_taper_0, y_shift_opt),\n",
" grid_spec=grid_spec,\n",
" medium=SiO2,\n",
" eme_grid_spec=eme_grid,\n",
" freqs=freqs,\n",
" axis=0,\n",
" sweep_spec=td.EMELengthSweep(\n",
" scale_factors=l_taper_list / l_taper_0\n",
" ), # Sweep taper length via scale factors\n",
" store_port_modes=False,\n",
")\n",
"\n",
"fig, ax = plt.subplots(2, 1, tight_layout=True)\n",
"eme_sim.plot(z=t_SiN_bottom, ax=ax[0])\n",
"ax[0].set_aspect(\"auto\")\n",
"eme_sim.plot(z=t_SiN_top + t_SiN_bottom + t_SiN_gap + t_spacer + t_AlOx / 2, ax=ax[1])\n",
"ax[1].set_aspect(\"auto\")\n",
"plt.show()"
],
"id": "e97c8f4a"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot cross-sections of the coupler at multiple $x$ positions."
],
"id": "37702b0e-eb96-4f38-83e9-9286119f8411"
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
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BIiIiFBUVpfT09AIL4Q0bNtTx48clSYcPH3b8eAAAcL5IS0vTmjVrrNfTp08v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\nFiwo1thK0/bt263n3bp1c3A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jVqeDxZGSgP\nLIkMoEI4evSohg0bphMnTpi/q1u3rgYNGqRGjRrJMAzFxMTo4MGDWrdunUcxx48fr4SEBPn5+emS\nSy5Rp06dzKWB+vfvL0lKTU3VyJEjzeWDJKl58+YaNmyYwsLCFBsbq19++UXHjx+XJK1du1ajR4/W\n77//XmAJoz179mjGjBnmzyEhIRo0aJBatGih4OBgnTx5UseOHVN0dLS5LObZrIjhKSv7uvnmm7Vo\n0SLz50aNGmngwIG64IILZBiGoqOjtWTJEqWnpyszM1Pjxo1Tq1at3C5v4nA4NGrUKC1ZssT8XZUq\nVTRgwAC1a9dOwcHBio+PV0xMjNasWaPU1FSX/QcPHix/f3+tX79eixcvliQNGjRIAwYMKNBXSZfn\nlax9zpxt1qxZ5jJInTt3Vt++fVWrVi3FxsZq0aJFOnnypCTpl19+0fz58zV69OgSj/9s/v7+6tat\nmxo1aqS6desqLCxMqamp2rp1q/766y/l5uYqKytL//rXv9SjR48CSyN5+3hL0oMPPqjffvtNixYt\n0tGjR3XHHXfohx9+cGnzySefaN68eZKk8PBwff7554Ue7xdeeMFcnsoKzzzzjNeXXc7JydGePXvM\nny+++OJi9+nbt682b94sSdq+fbtX43mqsjwOSTIMQ7///rukvOW3e/fuXepYZfXKK68oLi5OktSn\nTx9ddNFFqlKlinbt2qVFixYpJydHDodDDz/8sIKDg/X0009Lkho3bqyhQ4cqIiJCx48f18KFC3Xs\n2DFJ0pw5czRhwgTz72VhBg4cqJdfflmS9Ouvv2r8+PFefKQAAFQsb7zxhp555hmX33Xr1k09e/ZU\nWFiYEhISFBcXp82bN+vQoUPFxtu0aZP5+aJevXoaNmyYGjVqZH7WDA4OliR9//33evzxx839/Pz8\nNGjQIHXq1Em+vr7avHmz/vzzT+Xm5sowDE2cOFHNmjXTqFGjCvQ5ffp0RUdHmz+3a9dOffr0Ub16\n9ZSbm6tjx44pPj5e69atU0JCgttxWxHDU1b1tXv3bo0YMUKnT5+WlLeMap8+fdS1a1eFhIQoOTlZ\nq1ev1j///CMp7/9m9OjRWrp0qbmEp7OtW7fqiiuuUHp6uvk757z4zJkzio2N1b59+7Rx48YC+z/5\n5JNKT0/Xu+++a34ee+KJJ0q1HLM7Vj5nznbVVVcpOTlZwcHBGjp0qNq0aSNfX1/z+WwYhhwOh+69\n915dfvnlliyPHB4erm7duqlu3bqqW7eugoKCFBcXp8jISO3bt09S3v/JPffco2+++abA/t4+3oGB\ngZo3b566d++utLQ0zZ49W8OGDdNll11mtsnNzdUtt9xiLg97++23F3q8N2zYoJ9++smSsUlSp06d\ndN1111kWrzDO+VbXrl3N97DC9OzZU4GBgcrKyjJzvQ4dOpSq7wMHDigtLU2SVLVqVbVs2bJUcdzJ\nzc3VqlWrtHnzZiUlJalWrVpq2rSp+vTpo9DQ0GL3t/O4LF261Pw+xN33NuXpuuuuU3p6umrWrKkR\nI0aoefPmysjI0B9//GF+D7lnzx69+uqrio6O1saNG+Xj46MBAwaoW7duCgoK0tatW/XLL7/I4XAo\nOztb9913X7F5vo+Pj/r166effvpJqampioqK0sCBA8vjIQPFs7NaDAD5RowY4TIj6rXXXit0xtjJ\nkycLPUPTeWapJKNDhw5FLnn55JNPuswiffXVV43c3FyXNmlpacZdd93lEvezzz4rEMv5LMAhQ4YY\nKSkphfZ76NAht8thWRHDU1b19fHHH5txatSoYXzxxRduz2w8ceKEy9mjhS1d+vbbb7sc6zFjxhjx\n8fFu22ZmZhq//vqrcfTo0QLb3nnnHTPGtGnTCn1szjw5w9bK54xhuJ4lJ8kIDQ11u4xLcnKyy7I1\nxS39WpwTJ04Y33//fZHLRB04cMDlNfXQQw8V2rY0x7uk423QoIHZh/OZkXv27HGZOfvTTz8VGcvP\nz8/j2dSe3DxdHi1fac6w3bdvX4n7fO2118z2l156qVfjeaqyPA7DMIxdu3aZcTp27Fhse2+eYSvJ\nqFu3rtvZxOvWrXN5feQ//6dPn25kZ2e7tE1JSTF69+5tth0/fnyx44yNjTXbN23atNj2AABUFnv3\n7jUCAgLMv4Pt2rUr8vIvGzdudHupEXcr3zz++OOFXgYlIyPDqFu3rtm2efPmxubNmwu027Jli9G8\neXOzXe3atd1erqV9+/Zmm48++qjQ8efk5Bh//fWXsXXrVq/E8JRVffXq1cuMM2DAACM6Otptu6VL\nl7qchetu5SGHw2F06tTJbFO9enXjk08+KZAn5ouNjTV+/PFHt9ucV4Px9HITxZ1ha/VzxjCMAquj\nXXrppS5Ll+Zbvny5y/KlxS39WpwVK1YYa9euLfTYGkbekuLOZ+3t2LGj0LalOd4l8dFHH7l8Xnf+\nbuPZZ581t7Vu3do4ffp0oXE++OADS3PYW265pcSPpTRn2D7xxBMl7tP5DPqynJX9yCOPlCivKY7z\nGbaF3Xx9fY2rr77a2LBhQ5Gx7Dwuzst1//e//y2yrbfPsJVkXHPNNUZCQoJLG4fD4TLO/By2cePG\nbv/O/vnnn4a/v3+J8u0pU6aY7YtbUQAoTxRsAdhuw4YNLn+s582bV+pYzolKrVq13Bby8qWnpxuh\noaFm+ylTphQZ++qrrzbbdu3atcD2F154wdz+ww8/lGr8VsQoz74cDofRunVrQ8orXi5btqzI9llZ\nWS6J7NlJcU5OjstSw2PHji3VuAzDOwVbq58zhlGw6LJ06dJC4+3fv99cuqZq1apGTk6OR4+rLBIT\nE83lourWrVtoO28XbA3DMP744w/z8QcHBxvbtm0zMjMzjW7dupl9P/DAA8XGORcLts7vk8HBwR7t\nM3fuXHOfiy66yKvxPFVZHodhGMZXX31lxhk1alSx7b1dsHVeGv5sEydOdGn78MMPF9rW+Xo+LVq0\nKHachmG4vC+enWwDAFBZOU/QbNasWan/Bp5dsC0uB/rkk0/MtlWrVi200GgYeUVl58LVe++9V6BN\n/qTIevXqlWr8VsUoz76WLl3qUoQ4c+ZMke2XL19utnc3cfann35yKSwUlxcXxRsFW6ufM4bh+lm1\nY8eOhU4wMAzXz6JlXUrWU84FzqLydm8XbA3DNQ+49NJLDYfDYaxYscLMSwMDA41//vmnyBjnasHW\n+X2ysGWhz9avXz9zn08++aTE4zQMw4iKijKPb7Vq1YxDhw6VKo4zTwq2+beAgADjrbfeKjSWXcfF\nMAxj0KBBZpw///yzyLbeLth27dq10OWIMzMzXSaa+Pv7FznZ54477jDbzpo1q9ixzp8/v0T5PFBe\nWBIZgO2clzYdOnSoJcu8StIdd9yhCy64oNDtf//9txITEyVJYWFh5hKRhXnllVf0008/yTAMbdy4\nUcePH1fdunXN7c2aNTPvL1myRNdcc02Jx2xFjPLsa8uWLeZypEOGDNEll1xSZPuAgADdddddeuCB\nByRJy5cvd1mW5p9//jGXGq5WrZreeOONEo/Jm6x+zpxtwIABGjJkSKHbmzVrpgsvvFBbt25Venq6\n4uLi1LBhw9I9GA/VqlVLl19+uT7//HMdP35chw4dUpMmTbzaZ2EGDx6sJ598UjNnzlRGRoZGjx6t\nSy65RBs2bJAkdezYUbNmzSo2zpQpUyxdEtnbyyFLcln629Nlupzbnb10uNXxPFVZHock7d+/37zv\n7ddhcQYNGqR+/foVun3o0KGaOXOmpLzl/s5eutFZjx49FBoaqsTERO3fv18Oh8Ptsn/OLrjgAvO9\n8cCBAx4tAwYAwLnuxx9/NO/PmjXLsr9/U6ZMKXL7r7/+at6/++67i1zms0WLFrrnnnv0n//8x9z3\nrrvucmnTrFkzxcbG6vjx49q4caO6du1a4jFbEaM8+/r222/N+88++2yxS/QOHDhQHTp00LZt2xQV\nFaXs7GwFBASY252/07j11luLzYvLm9XPmbM9/fTTqlKlSqHbr7zySvOz6N69e0sy9FIbM2aM7rzz\nTkl5lymy03vvvae///5bBw8e1G+//aZnn31Wc+bMUW5uriTppZdeUrdu3YqM0a1bN02dOtWyMXXq\n1MmyWEWxI1/bv3+/rr32WvP4vvfee2rcuHGJ4xSmdu3a6tatmxo0aKCIiAjl5OTo0KFD+uuvv8xL\nY2VnZ+vBBx9UaGiobrnllgIxyGPzTJw40eW91FlgYKAGDBhgvl9fd911RS4DPWzYMH300UeSPHuf\ncX7sBw4cKMmwAa+iYAvAdlFRUeb9m2++2bK4w4YNK3L7+vXrzfvDhw8vMsGQpNatW6t9+/bmtRDW\nrVunK664wtx+zTXXqH79+oqLi9O7776rDRs26MYbb1T//v3VuXPnYuNbFcNTVvS1cuVK835mZqZe\nfPFF82fDMFz+zb/vfL1J5w+KkutzYfjw4QoLCyv5A/Miq58zZ/PkmhkNGzbU1q1bJUnJycmWfMA+\nc+aMNm7cqJ07dyohIUHp6ekuBU3nD7t2Fmwladq0aVq2bJn+/vtvbdu2zbyuSXBwsObNm+fR87a4\nL8EqC+fXXkWMZ1e/VsWLj48379epU8eSmKVV3HVmGzRoYN5v165dseOtX7++EhMTZRiGUlNTFRIS\nUmR753j519IFAKAy27t3r/nFfLVq1XTVVVdZErdp06Zq1apVkW2ccxJPJt1ee+21ZvFt3bp1Bbbf\ne++9WrVqlQzDUN++fXXDDTdoxIgR6t27t5o3b+7RuK2I4Skr+nLOY6OiorRz505JBXNX53+zsrIk\nSRkZGYqLi3MpAHnrOw2rWP2cOVtxeaxzzpqcnFxsPE/FxsZq48aNOnDggFJTU5WVleXyfxgQE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Fm3bl2mbTExMebyyy83UtqFV9ldLGdHDKAkye3O2Q8++MCWOc/8+fOtOE8//XSW7RlPPM6e\nPbvQYni7WbNmmcsuu8x8//33JjU1Ncv2yMhI06NHD+s4FWS1nsWLF1txJkyYkGX79OnTre1Tp04t\ntBglwf79+7N8tkofRzsLtr/88kumgv7F/4cy/j547rnnCi2Gt8lYDLrtttuyfP5duHChtf2JJ55w\ntB9P5VrcHTlyxOzfvz/Ta+mfQe0s2G7evNm6yGHkyJFZLkb65ptvrO3jx48vtBjebvXq1aZ+/frm\no48+clmMTUpKMrfeeqstf492795tFQoHDx6cpb/ly5dbF0aMGTOm0GKUBHv37jXx8fHZbt+2bZtV\n/6hatapJSkpyq5/Dhw9bN9v06dMn0/ktY4xZs2aNtdJjdp+l7YjhFAq2KNYyXu26aNEit2K8/vrr\nVoxff/3VZZu33347xwmYHTG8XWpqap6uQurdu7dVhHf35HzG/xfffvutyzbvv/++1earr74qlBgl\nVWEUbDOeTFq4cKHLNp9//rnVxtVym3bE8DYZT+jMmTPHZZvvv//eajNjxgzH+vFUrt6oMAq2y5cv\nt2K++eabLtusWrXKavPqq68WSoyS4OTJk7m2mTBhgnWc3L3Ldu3atVaMF154wWWbTZs2WW2eeeaZ\nQomBNIcOHbKO0z333ONWjO3bt1sxHn/8cZdtdu/ebZ1QevjhhwslBoCs0u8aCg4OdjtGs2bNjCTT\ntGlTl3e/pqamWkuZ161b12Wx0Y4Y3u7UqVO5Xgy1d+9e63flqFGj3O4r/f9F3bp1s73bqHv37kZK\nuwvN1YlQO2KUVIVRsE0/v1GlSpVsH3MwcOBAI6VdzObqolM7YnibQYMGGSltpYLslmy/6qqrjJS2\nKpq7y7rb0Y+ncvVGhVGwHTlypJHSLi49e/asyzY333yzdV7S1QWmdsTwdpGRkVkKZBeLjo62HivY\ntm1bt/saPXq0dayzuyj27rvvNlLa6l2uLoS2IwbSTJo0yfpMtHnzZrdiPPDAA9ax3rdvn8s2jzzy\niNXPrl27CiWGUyjYoljLeHL+yy+/dCtGly5djJR2R112IiMjrSUt7rrrrkKJgTQvvviiNaZ//fWX\nWzH69etnpLTljbKbXMfGxlpLq954442FEqOkKoyC7fDhw61JTnZ3viYlJVkf9oYOHVooMbzNqFGj\njJR2V1R2k//U1FRrueHevXs71o+ncvVGhVGwTV+Wzc/PL9tVE4wx1nNrOnbsWCgxkGbp0qXWGM+d\nO9etGI8++qgV4/jx49m269Chg5HS7uYtjBhIk5ycbB1Ldz83Pvvss1aMnJZd7dmzp5HSHklxcTHG\njhgAskq/i75ChQpu7b9t2zbrvfnyyy9n2y7jRcNr1661PQb+lf4oh/bt27u1/8GDB63j/NRTT2Xb\nLuNFwxfPteyIUZLZXbA9efKkdUfWQw89lG27jBcNL1682PYY3iY8PNw6t5bTRW3ffPONdUw+/fRT\nR/rxVK7eyu6CbUxMjLUMak4X16xYscIaj/fee8/2GPjX0KFDrUKpO3OIxMRE647O4cOHZ9tu/fr1\n1ni89dZbtsfAv2bOnGkdp40bN+Z7/9TUVOtxPP369cu23T///GP18+KLL9oew0m+AoqxjRs3SpJ8\nfHzUoUOHfO8fFxenv/76S5LUp0+fbNtVqFDBir9q1SrbY+BfSUlJ1vfGmHzvn5KSoj/++EOS1KtX\nL/n6uv41FxgYqK5du0rKOh52xIC9fv/9d0lS9+7dVapUKZdt/P391aNHj0zt7Y7hbdJ/xi5duqhs\n2bIu2/j4+KhXr16SpD///FPJycmO9OOpXJE36ePRrl07VapUKdt26X8XN2/erOjoaNtjIE1B/3ZK\n/45H06ZNVatWrWzbpY/Hnj17dOrUKdtjIE36Z0tJ6tixo1sx0sejVq1aatKkSbbt0sfj2LFjOnjw\noO0xAGSWnJysLVu2SCr4+1vKeQ6acdvF8xU7YuBf6X+LC/p3WGJMvcWaNWuUmpoqyf3xsCOGt8k4\nz8vpmPTq1Us+Pj6S3DsmdvTjqVyRNxs3blRcXJyknMeje/fuKl26tKSs42FHDPwr4zzWHdu2bVNk\nZKSknMejY8eOKleunKSs42FHDPwrvVYTGBioFi1a5Hv/vXv3KiwsTFLO49GyZUtVq1ZNUtbxsCOG\nkyjYolhKSUnRJ598otdee02SdPfdd6tRo0b5jrNr1y7rw29uv0SaN28uSTp48KDi4+NtjYF/rVix\nQlJa4SynE4PZOXDggBISEiTlfTxOnjypiIgIW2PAPidOnLA+POV1PC5cuKDQ0FBbY3ibqKgoHTt2\nTFLej0lSUpL27dvn8X48lSvyJjExUfv375eU9/EwxmjXrl22xsC/0v92SrkfT1cyHtu8jock7dy5\n09YYSLNhwwaNGTNGktSkSRPdcccdbsX5559/JBVsPOyIAeBfJ0+e1J133qnDhw/L399fL774oltx\n0t+bUs7vz2bNmllFgOze3wWJgTR79uzRiRMnJLn3d1jK+3g0bNhQAQEBktwf05xiwD55HY9q1apZ\nFy+6O6Y5xfA2eT0mFStWVI0aNSS5d0zs6MdTuSJv8joeZcqUUf369SW5P6Y5xUCauLg4rVu3TlLm\nzxr5kdfx8PPzU+PGjSW5P6Y5xYAUHx+vadOm6eOPP5Yk/d///Z+CgoLyHSev4yGl/b+R3B/TnGI4\niYItioUpU6bouuuu08iRI9WrVy/Vrl1bt912m/z8/PTMM8/onXfecSvu8ePHre9r166dY9v07amp\nqdZVGnbFQJoVK1ZYd7YOHjxYFSpUyHcMd8ZDklUMsisG7MOYFg5PHRPGz/ucOnXKulLc3fGwIwbS\nHD16VB999JEkqUGDBurWrVu+Y0RGRiomJkaS++NhR4yS6Pvvv9d1112n6667TldccYWaNWumrl27\nat++fbrmmmv0xx9/qEyZMvmOm5SUpDNnzkhyfzzsiAGUZOHh4db7e/jw4erYsaPq16+v+fPnq2XL\nllqxYoW6d+/uVuz0z0Zly5ZVxYoVs20XEBCgypUrS8r63rQjBtI899xz1vc333yzWzHSx8PHxyfH\nVSp8fHxUs2ZNSdmPaUFiwD7uzGGyG9OCxPA2njomjJ/3YUyLljfffFNRUVGSCv63U2JMPW3ChAm6\n7rrrdO2116pHjx6qVauWHnnkEVWuXFnTp0/Xk08+6VZcd8bjxIkT1s10dsVwkr/TCQB5sXr1ai1b\ntizTa/7+/nrooYc0btw4+fn5uRX3woUL1ve5XfWRcXvGJRntiAHp3LlzGjt2rCSpVKlSmjJliltx\nGFPvw5gWDk8dE8bP+zCmRUdycrLGjBljFUpfffVVtz4TMabO2bdvn77++ussr1911VV66qmnVLVq\nVbfiMqaA82JjY12+vxs1aqTnnntOISEhbsdOf3/m5c6FoKAgnT17Nst7044YkL744gt99tlnkqSe\nPXtq+PDhbsVJH48yZcpk+0iedOljlt2YFiQG7JPx72h2j3RJl9uYFiSGt3Hn84k7x8SOfjyVK/KG\nMS06Nm/erJdeekmSVKdOHT300ENuxXFnPGJjY5Wammr9nbQjRkm0bNky7dmzJ9NrQUFBevzxx3XL\nLbe4HdfdOWhMTIy1ZLUdMZxEwRbFwjPPPKOxY8fKGKOIiAht2LBBn3/+uaZMmaIZM2boyy+/1MCB\nA/MdNzEx0fre3z/nt0P6swckWcvl2hWjpEtKStKNN96ow4cPS0o74dymTRu3YjGm3ocxLRyeOiaM\nn/dhTIuOiRMn6rfffpMk3XrrrbrxxhvdisOYOmfYsGGqU6eOpLQJ4q5du/TZZ59pyZIl+uabb/Tc\nc8/p2WefzXdcxhRwXuXKlfXll19KSpvvhIaG6ocfftCqVat0ww03qE+fPvr6668VHByc79jp78/c\n3pvSv+/Pi9+bdsQo6bZs2aI777xTUtqSpvPnz3c7FmPqfdLHw8fHJ9cL6nIb04LE8DbufD5x55jY\n0Y+nckXeMKZFw8mTJ3XNNdcoPj5efn5+WrBggS655BK3Yrk7X0lMTLRWMbIjRkk0ffp0RUVFKTU1\nVWfPntXq1au1aNEi/ec//9G0adO0dOlSdejQId9xCzIHTS+22hHDSRRsUSxcfvnlmf59zz33aPLk\nyRo0aJB27dql4cOHa9u2bfl+5mnGKxRz+wOa/lB5KfPVF3bEKMmMMbrjjjus5+/deeedevTRR92O\nx5h6H8a0cHjqmDB+3ocxLRpee+01TZ8+XZLUo0cPzZkzx+1YjKlzGjdubD0LKd1zzz2nu+++W598\n8okmT56sWrVqWauQ5BVjCjgvMDBQ1113XabXHn/8cS1YsECjR4/WypUrNWrUKP3000/5jp3+/szL\nSeD09+fF7007YpRkBw4c0JAhQxQTE6OAgAAtWrTIel6hOxhT75M+HsYYJSUlqVSpUtm2zW1MCxLD\n21z8+STjyfaLFeSY2NGPp3JF3rjz2Ta3MXUnRkl2/vx5DR48WEePHpUkvfPOO+rVq5fb8dwZDz8/\nv0yFVjtilERXXHFFpn/ff//92rFjhwYOHKjjx49r0KBB2r17d74vTGQeS8EWHvbggw9m++zW559/\nXq1atcpzrLp162r+/Pnq1KmT4uPjNX36dP3vf//LVz4Zn5EaGRmZY9vz589b35cvX97WGMXZf/7z\nHx06dMjltieffFIdO3bMcf/x48drwYIFkqTrrruuQCecJcbUDv/3f/+nXbt2udz2yCOPqEePHh7N\nhzEtHJ46Joyf92FMnTdnzhxNmjRJktShQwd9//33CgwMdDseY1q0lClTRnPnztXKlSt17Ngx/fe/\n/813wfaSSy6Rr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}
}
],
"source": [
"fig, ax = plt.subplots(2, 2, figsize=(10, 10), tight_layout=True)\n",
"\n",
"eme_sim.plot(x=-buffer_x / 2, ax=ax[0, 0])\n",
"eme_sim.plot(x=0, ax=ax[0, 1])\n",
"eme_sim.plot(x=l_taper_0, ax=ax[1, 0])\n",
"eme_sim.plot(x=l_taper_0 + buffer_x / 2, ax=ax[1, 1])\n",
"\n",
"plt.show()"
],
"id": "9d44482a"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Run the EME simulation."
],
"id": "822a8dd8-9bfc-40ae-a19e-46c9754e39ff"
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
"12:20:41 UTC Created task 'EME' with resource_id \n",
" 'eme-7fa464a9-5f92-49a1-bf06-9223cdaa4f7e' and task_type 'EME'. \n",
""
]
}
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
" Tidy3D's EME solver is currently in the beta stage. Cost of EME \n",
" simulations is subject to change in the future. \n",
""
]
}
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
""
]
}
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
""
]
}
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
"12:20:48 UTC Estimated FlexCredit cost: 1.935. For this solver type, the \n",
" estimate is the final billed cost. \n",
""
]
}
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
"12:20:49 UTC status = success \n",
""
]
}
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
""
]
}
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
""
]
}
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
"12:20:50 UTC Loading results from simulation_data.hdf5 \n",
""
]
}
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
" WARNING: Warning messages were found in the solver log. For more \n",
" information, check 'SimulationData.log' or use \n",
" 'web.download_log(task_id)'. \n",
""
]
}
}
],
"source": [
"eme_sim_data = web.run(eme_sim, task_name=\"EME\")"
],
"id": "9ca0c882"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot the coupling efficiency as a function of taper length. The coupling\n",
"efficiency saturates at approximately 400 µm. Increasing the taper\n",
"length beyond 400 µm provides no additional benefit."
],
"id": "e439e3ed-74ef-4926-8ebe-59052f33b8b4"
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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woPkxbkr7CJ+DFkv2Wvn9d7jyyqLtW84UyKoEPv/8c55//nnTyoI9evTgnXfe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\nv10NGjRw2veqFoxGC0NDJS9zt4ozCrJat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V69TC8HAAAAAACPVSlBlre3txYtWqSbbrpJ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\nERFZBRayiIiIiIiIiIjIKvw/tt9iEkR3dskAAAAASUVORK5CYII=\n"
}
}
],
"source": [
"T_0 = (\n",
" eme_sim_data.smatrix.S21.isel(mode_index_in=0, mode_index_out=0, f=0).abs\n",
") ** 2 # Power transmission at f index 0 (1480 nm)\n",
"T_1 = (\n",
" eme_sim_data.smatrix.S21.isel(mode_index_in=0, mode_index_out=0, f=1).abs\n",
") ** 2 # Power transmission at f index 1 (1550 nm)\n",
"T_2 = (\n",
" eme_sim_data.smatrix.S21.isel(mode_index_in=0, mode_index_out=0, f=2).abs\n",
") ** 2 # Power transmission at f index 2 (1620 nm)\n",
"\n",
"plt.plot(l_taper_list, 10 * np.log10(T_0), c=\"blue\", linewidth=2, label=\"1480 nm\")\n",
"plt.plot(l_taper_list, 10 * np.log10(T_1), c=\"red\", linewidth=2, label=\"1550 nm\")\n",
"plt.plot(l_taper_list, 10 * np.log10(T_2), c=\"purple\", linewidth=2, label=\"1620 nm\")\n",
"plt.legend()\n",
"plt.xlabel(\"Taper length (µm)\")\n",
"plt.ylabel(\"Coupling efficiency (dB)\")\n",
"plt.ylim(-1, 0)\n",
"plt.grid()\n",
"plt.show()"
],
"id": "d29b71e8"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## FDTD Simulation\n",
"\n",
"Finally, we will run an FDTD simulation using the optimal taper length\n",
"to verify the design’s performance."
],
"id": "556cef85-45c6-4400-abda-bd55e33a6c66"
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"l_taper_opt = 400 # Length of the optimized taper section (in simulation length units)\n",
"\n",
"mode_source = td.ModeSource(\n",
" center=(-buffer_x / 2, 0, 0),\n",
" size=(\n",
" 0,\n",
" 3 * w_SiN_wg,\n",
" 5 * (t_SiN_bottom + t_SiN_top + t_SiN_gap),\n",
" ),\n",
" source_time=td.GaussianPulse(freq0=freq0, fwidth=fwidth),\n",
" mode_spec=td.ModeSpec(),\n",
" mode_index=0,\n",
" direction=\"+\",\n",
" num_freqs=1,\n",
")\n",
"\n",
"mode_monitor = td.ModeMonitor(\n",
" center=(\n",
" l_taper_opt + buffer_x / 2,\n",
" 1,\n",
" t_SiN_bottom + t_SiN_top + t_SiN_gap + t_AlOx / 2,\n",
" ),\n",
" size=(0, 3 * w_AlOx_wg, 5 * t_AlOx),\n",
" freqs=freqs,\n",
" mode_spec=td.ModeSpec(),\n",
" name=\"mode\",\n",
")"
],
"id": "65d54933"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Create a FDTD simulation."
],
"id": "6ed1441b-bc31-47dd-bc06-5cebdd491453"
},
{
"cell_type": "code",
"execution_count": 15,
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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}
}
],
"source": [
"sim_box = td.Box.from_bounds(\n",
" rmin=(-buffer_x, -w_AlOx_wg / 2 - buffer_y, -buffer_z),\n",
" rmax=(\n",
" l_taper_opt + buffer_x,\n",
" w_AlOx_wg / 2 + buffer_y,\n",
" t_SiN_top + t_SiN_bottom + t_SiN_gap + t_spacer + t_AlOx + buffer_z,\n",
" ),\n",
")\n",
"\n",
"fdtd_sim = td.Simulation(\n",
" center=sim_box.center,\n",
" size=sim_box.size,\n",
" run_time=4e-12,\n",
" structures=create_structures(l_taper_opt, y_shift_opt),\n",
" sources=[mode_source],\n",
" monitors=[mode_monitor],\n",
" grid_spec=td.GridSpec.auto(min_steps_per_wvl=20, wavelength=lda0),\n",
" medium=SiO2,\n",
")\n",
"\n",
"fig, ax = plt.subplots(2, 1, tight_layout=True)\n",
"fdtd_sim.plot(z=t_SiN_bottom, ax=ax[0])\n",
"ax[0].set_aspect(\"auto\")\n",
"fdtd_sim.plot(z=t_SiN_top + t_SiN_bottom + t_SiN_gap + t_spacer + t_AlOx / 2, ax=ax[1])\n",
"ax[1].set_aspect(\"auto\")\n",
"plt.show()"
],
"id": "7e0b2e19"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Run the FDTD simulation."
],
"id": "c3e768de-07de-4313-8b41-2bf972692bc0"
},
{
"cell_type": "code",
"execution_count": 16,
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
"12:20:51 UTC Created task 'test_name' with resource_id \n",
" 'fdve-9553d713-6d4f-44c2-8918-94874b6b5e27' and task_type 'FDTD'. \n",
""
]
}
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
" View task using web UI at \n",
" 'https://tidy3d.simulation.cloud/workbench?taskId=fdve-9553d713-6d4\n",
" f-44c2-8918-94874b6b5e27'. \n",
""
]
}
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
" Task folder: 'default'. \n",
""
]
}
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
""
]
}
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
""
]
}
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
"12:20:53 UTC Estimated FlexCredit cost: 9.107. This assumes the FDTD solver runs\n",
" for the full simulation time; if early shutoff is reached, the \n",
" billed cost can be lower. Use 'web.real_cost(task_id)' to get the \n",
" billed FlexCredit cost after a simulation run. \n",
""
]
}
}
],
"source": [
"# Create a job for the given FDTD simulation\n",
"job = web.Job(simulation=fdtd_sim, task_name=\"test_name\")\n",
"\n",
"# Request an estimated compute cost for the created job\n",
"_ = web.estimate_cost(job.task_id)"
],
"id": "53778df2"
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
"12:20:54 UTC status = success \n",
""
]
}
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
""
]
}
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
""
]
}
},
{
"output_type": "display_data",
"metadata": {},
"data": {
"text/html": [
"12:20:55 UTC Loading results from simulation_data.hdf5 \n",
""
]
}
}
],
"source": [
"sim_data = job.run()"
],
"id": "eb109da5"
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Plot the coupling efficiency as a function of wavelength. The results\n",
"confirm the design’s low loss."
],
"id": "4136b0b3-188a-4709-adb0-b7a9365acdb6"
},
{
"cell_type": "code",
"execution_count": 18,
"metadata": {},
"outputs": [
{
"output_type": "display_data",
"metadata": {},
"data": {
"image/png": 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lA2BrqZKl0JRWg7S610zlTp/dcM4v0F/9lk1QnYmddPH2PyYmBAAAAIC4jTIs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Xvo0CGaYQAAAACeG3Z2dupUp7XK5i+hrjOH6XZQ/BMHAkOC1P7HfhrSvLt6N/hQ9vZc1AMA1sJP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\nzesxVh6ubmZrrgfcUovx3fXL3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TqYnWPKlCnavXu3cuTIoe+//97G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\n"
}
}
],
"source": [
"# Extract mode transmission amplitudes for the fundamental mode in the forward (+) direction\n",
"amp = sim_data[\"mode\"].amps.sel(mode_index=0, direction=\"+\").values\n",
"\n",
"# Convert complex amplitudes to power transmission (|amp|^2)\n",
"T = np.abs(amp) ** 2\n",
"\n",
"# Report coupling efficiency in dB\n",
"plt.plot(ldas, 10 * np.log10(T), linewidth=2)\n",
"plt.xlabel(\"Wavelength (μm)\")\n",
"plt.ylabel(\"Coupling efficiency (dB)\")\n",
"plt.grid()\n",
"plt.show()"
],
"id": "5172bc81"
}
],
"nbformat": 4,
"nbformat_minor": 5,
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
}
}
}