{ "cells": [ { "cell_type": "markdown", "id": "87503933", "metadata": {}, "source": [ "# Compact polarization splitter-rotator" ] }, { "cell_type": "markdown", "id": "cebe8db1", "metadata": {}, "source": [ "Silicon-on-insulator (SOI) devices are known to be polarization sensitive. Devices that can manipulate the polarization of light are important components of an integrated photonic system. \n", "\n", "This model demonstrates the design of a compact polarization splitter-rotator that consists of an adiabatic waveguide tapper and an asymmetric directional coupler. When the TM0 mode is launched at the input end, it is efficiently converted into the TE1 mode at the tapper and then coupled to the TE0 mode at the narrow waveguide through the directional coupler. When the TE0 mode is launched at the input end, it propagates through the tapper without polarization change and coupling to the narrow waveguide. That is, the TE and TM polarizations are separated by this device and the output is always TE polarization, as schematically shown below. This model is based on [Daoxin Dai and John E. Bowers, \"Novel concept for ultracompact polarization splitter-rotator based on silicon nanowires,\" Opt. Express 19, 10940-10949 (2011)](https://opg.optica.org/oe/fulltext.cfm?uri=oe-19-11-10940&id=214189).\n", "\n", "" ] }, { "cell_type": "markdown", "id": "2de5ac4f", "metadata": {}, "source": [ "## Simulation Setup " ] }, { "cell_type": "code", "execution_count": 1, "id": "d7d7a340", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:58:11.120215Z", "iopub.status.busy": "2023-02-03T04:58:11.119908Z", "iopub.status.idle": "2023-02-03T04:58:12.324404Z", "shell.execute_reply": "2023-02-03T04:58:12.324055Z" } }, "outputs": [ { "data": { "text/html": [ "
[22:58:11] WARNING This version of Tidy3D was pip installed from the 'tidy3d-beta' repository on __init__.py:103\n", " PyPI. Future releases will be uploaded to the 'tidy3d' repository. From now on, \n", " please use 'pip install tidy3d' instead. \n", "\n" ], "text/plain": [ "\u001b[2;36m[22:58:11]\u001b[0m\u001b[2;36m \u001b[0m\u001b[31mWARNING \u001b[0m This version of Tidy3D was pip installed from the \u001b[32m'tidy3d-beta'\u001b[0m repository on \u001b]8;id=932456;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/__init__.py\u001b\\\u001b[2m__init__.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=109781;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/__init__.py#103\u001b\\\u001b[2m103\u001b[0m\u001b]8;;\u001b\\\n", "\u001b[2;36m \u001b[0m PyPI. Future releases will be uploaded to the \u001b[32m'tidy3d'\u001b[0m repository. From now on, \u001b[2m \u001b[0m\n", "\u001b[2;36m \u001b[0m please use \u001b[32m'pip install tidy3d'\u001b[0m instead. \u001b[2m \u001b[0m\n" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/html": [ "
INFO Using client version: 1.9.0rc1 __init__.py:121\n", "\n" ], "text/plain": [ "\u001b[2;36m \u001b[0m\u001b[2;36m \u001b[0m\u001b[34mINFO \u001b[0m Using client version: \u001b[1;36m1.9\u001b[0m.0rc1 \u001b]8;id=181558;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/__init__.py\u001b\\\u001b[2m__init__.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=827715;file:///Users/twhughes/Documents/Flexcompute/tidy3d-docs/tidy3d/tidy3d/__init__.py#121\u001b\\\u001b[2m121\u001b[0m\u001b]8;;\u001b\\\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import tidy3d as td\n", "import tidy3d.web as web\n", "from tidy3d.plugins import ModeSolver\n" ] }, { "cell_type": "markdown", "id": "ee47465c", "metadata": {}, "source": [ "Define geometric parameters. The device consists of a wide tapered waveguide and a narrow waveguide. They are coupled through a directional coupler." ] }, { "cell_type": "code", "execution_count": 2, "id": "c7f6dcb8", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:58:12.326137Z", "iopub.status.busy": "2023-02-03T04:58:12.325947Z", "iopub.status.idle": "2023-02-03T04:58:12.328064Z", "shell.execute_reply": "2023-02-03T04:58:12.327842Z" } }, "outputs": [], "source": [ "w0 = 0.54 # width of the input/output single mode waveguides\n", "w1 = 0.69 # width of the first tapper\n", "w2 = 0.83 # width of the second tapper\n", "w3 = 0.9 # width of the third tapper\n", "w4 = 0.405 # width of the narrow waveguide\n", "w_gap = 0.15 # gap of the directional coupler\n", "L_tp1 = 4 # length of the first tapper\n", "L_tp2 = 44 # length of the second tapper\n", "L_tp3 = L_tp1 * (w3 - w2) / (w1 - w0) # length of the third tapper\n", "L_dc = 7 # length of the directional coupler\n", "L_tpout = 14 # length of the output tapper\n", "shift = 0.4 # shift of the narrow waveguide output\n", "h_co = 0.22 # thickness of the waveguides\n", "inf_eff = 1000 # effective infinity used to make sure the waveguides extend into pml\n" ] }, { "cell_type": "markdown", "id": "a3b96978", "metadata": {}, "source": [ "Define materials. The waveguides are made of silicon. The upper cladding is silicon nitride and the lower cladding is silicon oxide." ] }, { "cell_type": "code", "execution_count": 3, "id": "e896b235", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:58:12.329437Z", "iopub.status.busy": "2023-02-03T04:58:12.329340Z", "iopub.status.idle": "2023-02-03T04:58:12.331196Z", "shell.execute_reply": "2023-02-03T04:58:12.330957Z" } }, "outputs": [], "source": [ "si = td.Medium(permittivity=3.455**2)\n", "sio2 = td.Medium(permittivity=1.445**2)\n", "si3n4 = td.Medium(permittivity=2**2)\n" ] }, { "cell_type": "markdown", "id": "5a621fb5", "metadata": {}, "source": [ "The silicon structures are defined using PolySlabs. The coordinates of the vertices can be determined by the taper widths and lengths." ] }, { "cell_type": "code", "execution_count": 4, "id": "9b823f6c", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:58:12.332504Z", "iopub.status.busy": "2023-02-03T04:58:12.332410Z", "iopub.status.idle": "2023-02-03T04:58:12.337131Z", "shell.execute_reply": "2023-02-03T04:58:12.336851Z" } }, "outputs": [], "source": [ "cladding = td.Structure(\n", " geometry=td.Box.from_bounds(\n", " rmin=(-inf_eff, -inf_eff, -h_co / 2), rmax=(inf_eff, inf_eff, inf_eff)\n", " ),\n", " medium=si3n4,\n", ")\n", "\n", "vertices = np.array(\n", " [\n", " (-w0 / 2, -inf_eff),\n", " (-w0 / 2, 0),\n", " (-w1 / 2, L_tp1),\n", " (-w2 / 2, L_tp1 + L_tp2),\n", " (-w3 / 2, L_tp1 + L_tp2 + L_tp3),\n", " (-w3 / 2, L_tp1 + L_tp2 + L_tp3 + L_dc),\n", " (-w0 / 2, L_tp1 + L_tp2 + L_tp3 + L_dc + L_tpout),\n", " (-w0 / 2, inf_eff),\n", " (w0 / 2, inf_eff),\n", " (w0 / 2, L_tp1 + L_tp2 + L_tp3 + L_dc + L_tpout),\n", " (w3 / 2, L_tp1 + L_tp2 + L_tp3 + L_dc),\n", " (w3 / 2, L_tp1 + L_tp2 + L_tp3),\n", " (w2 / 2, L_tp1 + L_tp2),\n", " (w1 / 2, L_tp1),\n", " (w0 / 2, 0),\n", " (w0 / 2, -inf_eff),\n", " ]\n", ")\n", "\n", "wide_wg = td.Structure(\n", " geometry=td.PolySlab(vertices=vertices, axis=2, slab_bounds=(-h_co / 2, h_co / 2)),\n", " medium=si,\n", ")\n", "\n", "vertices = np.array(\n", " [\n", " (-w3 / 2 - w_gap - w4, L_tp1 + L_tp2 + L_tp3),\n", " (-w3 / 2 - w_gap - w4, L_tp1 + L_tp2 + L_tp3 + L_dc),\n", " (-w3 / 2 - w_gap - w4 - shift, L_tp1 + L_tp2 + L_tp3 + L_dc + L_tpout),\n", " (-w3 / 2 - w_gap - w4 - shift, inf_eff),\n", " (-w3 / 2 - w_gap - shift, inf_eff),\n", " (-w3 / 2 - w_gap - shift, L_tp1 + L_tp2 + L_tp3 + L_dc + L_tpout),\n", " (-w3 / 2 - w_gap, L_tp1 + L_tp2 + L_tp3 + L_dc),\n", " (-w3 / 2 - w_gap, L_tp1 + L_tp2 + L_tp3),\n", " ]\n", ")\n", "narrow_wg = td.Structure(\n", " geometry=td.PolySlab(vertices=vertices, axis=2, slab_bounds=(-h_co / 2, h_co / 2)),\n", " medium=si,\n", ")\n" ] }, { "cell_type": "markdown", "id": "f18c9962", "metadata": {}, "source": [ "Set up a mode source for excitation. First, we launch the TE0 mode with the mode source. Later, we will change the mode source to launch the TM0 mode. \n", "\n", "Two flux monitors and two mode monitors are set up at the outputs of the wide and narrow waveguides. A field monitor is added to monitor the field at z=0 plane. " ] }, { "cell_type": "code", "execution_count": 5, "id": "7c0563c3", "metadata": { "execution": { "iopub.execute_input": "2023-02-03T04:58:12.338600Z", "iopub.status.busy": "2023-02-03T04:58:12.338517Z", "iopub.status.idle": "2023-02-03T04:58:12.439073Z", "shell.execute_reply": "2023-02-03T04:58:12.438819Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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