{ "cells": [ { "cell_type": "markdown", "id": "49a31b4f", "metadata": {}, "source": [ "# THz integrated demultiplexer/filter based on ring resonator" ] }, { "cell_type": "markdown", "id": "7431b8fb", "metadata": {}, "source": [ "Note: the cost of running the entire notebook is larger than 1 FlexCredit.\n", "\n", "Wireless communication technology has been experiencing rapid development to satisfy the ever growing need for higher data transmission speed. The current 5G network has been harnessing the power of microwave and mm wave. The future generations of wireless communication clearly points to even higher frequencies, entering the THz territory. \n", "\n", "Inspired by the advancement of integrated photonics at telecom wavelength, integrated THz technology is a promising candidate for future mass production of compact THz communication devices. This model aims to demonstrate the modeling of a silicon-based THz demultiplexer/filter, which is a crucial component in a high-speed integrated THz communication system. The device utilizes a ring resonator structure similar to a typical ring resonator used in a telecom integrated circuit. It achieves <1.5 dB transmission loss and 3 GHz free spectral range. The design of the device is adapted from [Deng, W. et al. On\u2010Chip Polarization\u2010 and Frequency\u2010Division Demultiplexing for Multidimensional Terahertz Communication. Laser Photon. Rev. 16, 2200136 (2022)](https://onlinelibrary.wiley.com/doi/abs/10.1002/lpor.202200136).\n", "\n", "\n" ] }, { "cell_type": "markdown", "id": "8cf441f1", "metadata": {}, "source": [ "## Simulation Setup " ] }, { "cell_type": "code", "execution_count": 1, "id": "6d1a57be", "metadata": { "execution": { "iopub.execute_input": "2023-03-27T22:08:29.006769Z", "iopub.status.busy": "2023-03-27T22:08:29.006589Z", "iopub.status.idle": "2023-03-27T22:08:30.436016Z", "shell.execute_reply": "2023-03-27T22:08:30.435398Z" } }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "\n", "import tidy3d as td\n", "import tidy3d.web as web\n", "from tidy3d.plugins.mode import ModeSolver\n" ] }, { "cell_type": "markdown", "id": "db3bc0d9", "metadata": {}, "source": [ "The demultiplexer/filter device consists of a ring resonator, a through port waveguide, and a drop port waveguide. It is fabricated on a silicon wafer with a thickness of 130 $\\mu m$. A ridge waveguide with 110 $\\mu m$ height is used. The radius of the ring resonator is designed to ensure low loss for the TE0 mode. " ] }, { "cell_type": "code", "execution_count": 2, "id": "cd6bd27d", "metadata": { "execution": { "iopub.execute_input": "2023-03-27T22:08:30.439158Z", "iopub.status.busy": "2023-03-27T22:08:30.438772Z", "iopub.status.idle": "2023-03-27T22:08:30.487776Z", "shell.execute_reply": "2023-03-27T22:08:30.486809Z" } }, "outputs": [], "source": [ "t_si = 130 # thickness of the si wafer\n", "t_wg = 110 # height of the ridge waveguide\n", "W0 = 200 # width of the waveguide\n", "R1 = 3500 # inner radius of the ring resonator\n", "R2 = 2000 # inner radius of the waveguide bend\n", "Wg = 50 # width of the gap\n", "s = 3000 # horizontal shift of the waveguide bend\n", "inf_eff = 1e5 # effective infinity. This parameter is used to ensure the ports extend into the pml.\n", "\n", "freq0 = 380e9 # central frequency\n", "lda0 = td.C_0 / freq0 # central wavelength\n", "freqs = np.linspace(375e9, 385e9, 301) # wavelength range.\n", "# To ensure we resolve the spectral features, 301 frequency points are used.\n" ] }, { "cell_type": "markdown", "id": "90212abb", "metadata": {}, "source": [ "Since the whole structure is made of silicon, only two materials need to be defined -- silicon and air. At the simulation frequency, silicon has a small loss of $\\alpha$=0.025 $cm^{-1}$. Therefore, the imaginary part of the refractive index can be calculated as $k = \\frac{\\alpha \\lambda}{4\\pi}$. Since the frequency dispersion is very small, we will model silicon as dispersionless material." ] }, { "cell_type": "code", "execution_count": 3, "id": "03bdd9e3", "metadata": { "execution": { "iopub.execute_input": "2023-03-27T22:08:30.492196Z", "iopub.status.busy": "2023-03-27T22:08:30.491790Z", "iopub.status.idle": "2023-03-27T22:08:30.543564Z", "shell.execute_reply": "2023-03-27T22:08:30.542552Z" } }, "outputs": [], "source": [ "alpha = 0.025 # loss\n", "k_si = alpha * lda0 * 1e-4 / (4 * np.pi) # imaginary part of the Si refractive index\n", "n_si = 3.405 # real part of the Si refractive index\n", "\n", "si = td.Medium.from_nk(n=n_si, k=k_si, freq=freq0)\n", "air = td.Medium(permittivity=1)\n" ] }, { "cell_type": "markdown", "id": "51ae0cf5", "metadata": {}, "source": [ "To build the device, we need to keep in mind that when two structures overlap, the one added later will override the one added earlier. This gives us great flexibility when making more complex geometries. \n", "\n", "To make the ring resonator, we first create a [Cylinder](../_autosummary/tidy3d.Cylinder.html?highlight=cylinder) made of silicon with the radius set to the outer radius of the ring. Then, another [Cylinder](../_autosummary/tidy3d.Cylinder.html?highlight=cylinder) made of air with the radius set to the inner radius of the ring is added. This effectively results in a silicon ring. The waveguide bend structure is built using the same principle. " ] }, { "cell_type": "code", "execution_count": 4, "id": "8526222d", "metadata": { "execution": { "iopub.execute_input": "2023-03-27T22:08:30.548063Z", "iopub.status.busy": "2023-03-27T22:08:30.547866Z", "iopub.status.idle": "2023-03-27T22:08:30.572589Z", "shell.execute_reply": "2023-03-27T22:08:30.572019Z" } }, "outputs": [], "source": [ "# through port waveguide\n", "wg1 = td.Structure(\n", " geometry=td.Box.from_bounds(rmin=(-inf_eff, 0, 0), rmax=(inf_eff, W0, t_si)),\n", " medium=si,\n", ")\n", "\n", "\n", "# ring resonator\n", "ring_out = td.Structure(\n", " geometry=td.Cylinder(\n", " center=(0, 2 * W0 + Wg + R1, t_si / 2), radius=R1 + W0, length=t_si, axis=2\n", " ),\n", " medium=si,\n", ")\n", "\n", "ring_in = td.Structure(\n", " geometry=td.Cylinder(\n", " center=(0, 2 * W0 + Wg + R1, t_si / 2), radius=R1, length=t_si, axis=2\n", " ),\n", " medium=air,\n", ")\n", "\n", "\n", "# waveguide bend\n", "wg_bend_out = td.Structure(\n", " geometry=td.Cylinder(\n", " center=(-s, 4 * W0 + 2 * Wg + 2 * R1 + R2, t_si / 2),\n", " radius=R2 + W0,\n", " length=t_si,\n", " axis=2,\n", " ),\n", " medium=si,\n", ")\n", "\n", "wg_bend_in = td.Structure(\n", " geometry=td.Cylinder(\n", " center=(-s, 4 * W0 + 2 * Wg + 2 * R1 + R2, t_si / 2),\n", " radius=R2,\n", " length=t_si,\n", " axis=2,\n", " ),\n", " medium=air,\n", ")\n", "\n", "wg_bend_left = td.Structure(\n", " geometry=td.Box.from_bounds(\n", " rmin=(-s, 3 * W0 + 2 * Wg + 2 * R1, 0),\n", " rmax=(-s + R2 + W0, 5 * W0 + 2 * Wg + 2 * R1 * 2 * R2, t_si),\n", " ),\n", " medium=air,\n", ")\n", "\n", "\n", "# drop port waveguide\n", "wg2 = td.Structure(\n", " geometry=td.Box.from_bounds(\n", " rmin=(-s, 3 * W0 + 2 * Wg + 2 * R1, 0), rmax=(s, 4 * W0 + 2 * Wg + 2 * R1, t_si)\n", " ),\n", " medium=si,\n", ")\n", "\n", "wg3 = td.Structure(\n", " geometry=td.Box.from_bounds(\n", " rmin=(-s, 4 * W0 + 2 * Wg + 2 * R1 + 2 * R2, 0),\n", " rmax=(inf_eff, 5 * W0 + 2 * Wg + 2 * R1 + 2 * R2, t_si),\n", " ),\n", " medium=si,\n", ")\n", "\n", "\n", "# si wafer\n", "si_substrate = td.Structure(\n", " geometry=td.Box.from_bounds(\n", " rmin=(-inf_eff, -inf_eff, 0), rmax=(inf_eff, inf_eff, t_si - t_wg)\n", " ),\n", " medium=si,\n", ")\n" ] }, { "cell_type": "markdown", "id": "d2114d96", "metadata": {}, "source": [ "Define source and monitors. Here we will define a [ModeSource](../search.html?q=modesource) that launches the TE0 mode into the input waveguide. Two [FluxMonitors](../_autosummary/tidy3d.FluxMonitor.html?highlight=fluxmonitor) are added to the through port and the drop port to monitor the transmission. A [FieldMonitor](../_autosummary/tidy3d.FieldMonitor.html?highlight=fieldmonitor) is added in the xy plane to visualize the field distribution." ] }, { "cell_type": "code", "execution_count": 5, "id": "c55531c4", "metadata": { "execution": { "iopub.execute_input": "2023-03-27T22:08:30.575035Z", "iopub.status.busy": "2023-03-27T22:08:30.574857Z", "iopub.status.idle": "2023-03-27T22:08:30.597430Z", "shell.execute_reply": "2023-03-27T22:08:30.596877Z" } }, "outputs": [], "source": [ "mode_spec = td.ModeSpec(\n", " num_modes=1, target_neff=3\n", ") # we are only interested in the TE0 mode so num_modes is set to 1\n", "# add a mode source at the input of the waveguide\n", "mode_source = td.ModeSource(\n", " center=(-1.5 * R1, W0 / 2, t_si / 2),\n", " size=(0, 4 * W0, 4 * t_si),\n", " source_time=td.GaussianPulse(freq0=freq0, fwidth=freq0 / 10),\n", " direction=\"+\",\n", " mode_spec=mode_spec,\n", " mode_index=0,\n", ")\n", "\n", "# add two flux monitors at the through port and the drop port\n", "flux_monitor1 = td.FluxMonitor(\n", " center=(1.5 * R1, W0 / 2, t_si / 2),\n", " size=(0, 4 * W0, 4 * t_si),\n", " freqs=freqs,\n", " name=\"flux1\",\n", ")\n", "\n", "flux_monitor2 = td.FluxMonitor(\n", " center=(1.5 * R1, 4.5 * W0 + 2 * Wg + 2 * R1 + 2 * R2, t_si / 2),\n", " size=(0, 4 * W0, 4 * t_si),\n", " freqs=freqs,\n", " name=\"flux2\",\n", ")\n", "\n", "freq1 = 378.8e9 # frequency at which the power is transmitted to the through port\n", "freq2 = 380.2e9 # frequency at which the power is transmitted to the drop port\n", "\n", "# define a field monitor in the z=0 plane to visualize the field flow\n", "field_monitor = td.FieldMonitor(\n", " center=(0, 0, t_si / 2),\n", " size=(td.inf, td.inf, 0),\n", " freqs=[freq1, freq2],\n", " name=\"field\",\n", ")\n" ] }, { "cell_type": "markdown", "id": "ebf3cf30", "metadata": {}, "source": [ "Define the simulation using the above structures, source, and monitors. Due to the high-Q resonance of the ring resonator, we need to ensure that the simulation run time is sufficiently long." ] }, { "cell_type": "code", "execution_count": 6, "id": "66b2caf7", "metadata": { "execution": { "iopub.execute_input": "2023-03-27T22:08:30.599663Z", "iopub.status.busy": "2023-03-27T22:08:30.599506Z", "iopub.status.idle": "2023-03-27T22:08:30.958131Z", "shell.execute_reply": "2023-03-27T22:08:30.957586Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "buffer_y = lda0 # buffer spacing in the y direction\n", "\n", "# simulation domain size\n", "Lx = 3.5 * R1\n", "Ly = 2 * R1 + 2 * R2 + 5 * W0 + 2 * Wg + 2 * buffer_y\n", "Lz = 1.5 * lda0\n", "sim_size = (Lx, Ly, Lz)\n", "\n", "run_time = 12e-9 # simulation run time\n", "\n", "# initialize the Simulation object\n", "sim = td.Simulation(\n", " center=(0, Ly / 2 - buffer_y, t_si),\n", " size=sim_size,\n", " grid_spec=td.GridSpec.auto(min_steps_per_wvl=15, wavelength=lda0),\n", " structures=[\n", " wg1,\n", " ring_out,\n", " ring_in,\n", " wg_bend_out,\n", " wg_bend_in,\n", " wg_bend_left,\n", " wg2,\n", " wg3,\n", " si_substrate,\n", " ],\n", " sources=[mode_source],\n", " monitors=[field_monitor, flux_monitor1, flux_monitor2],\n", " run_time=run_time,\n", " boundary_spec=td.BoundarySpec.all_sides(boundary=td.PML()),\n", ")\n", "\n", "# visualize the structure to make sure it is set up correctly\n", "sim.plot(z=t_si)\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "e1554796", "metadata": {}, "source": [ "Visualize the mode field to ensure we are launching the TE0 mode at the mode source." ] }, { "cell_type": "code", "execution_count": 7, "id": "f628dcdd", "metadata": { "execution": { "iopub.execute_input": "2023-03-27T22:08:30.960436Z", "iopub.status.busy": "2023-03-27T22:08:30.960243Z", "iopub.status.idle": "2023-03-27T22:08:32.137223Z", "shell.execute_reply": "2023-03-27T22:08:32.136625Z" } }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mode_solver = ModeSolver(\n", " simulation=sim,\n", " plane=td.Box(center=(-R1, W0 / 2, t_si / 2), size=(0, 4 * W0, 4 * t_si)),\n", " mode_spec=mode_spec,\n", " freqs=[freq0],\n", ")\n", "mode_data = mode_solver.solve()\n", "\n", "f, (ax1, ax2, ax3) = plt.subplots(1, 3, tight_layout=True, figsize=(10, 3))\n", "abs(mode_data.Ex.isel(mode_index=0)).plot(x=\"y\", y=\"z\", ax=ax1, cmap=\"magma\")\n", "abs(mode_data.Ey.isel(mode_index=0)).plot(x=\"y\", y=\"z\", ax=ax2, cmap=\"magma\")\n", "abs(mode_data.Ez.isel(mode_index=0)).plot(x=\"y\", y=\"z\", ax=ax3, cmap=\"magma\")\n", "\n", "ax1.set_title(\"|Ex(x, y)|\")\n", "ax2.set_title(\"|Ey(x, y)|\")\n", "ax3.set_title(\"|Ez(x, y)|\")\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "ac6831f8", "metadata": {}, "source": [ "Submit the simulation job to the server." ] }, { "cell_type": "code", "execution_count": 8, "id": "e02acaf5", "metadata": { "execution": { "iopub.execute_input": "2023-03-27T22:08:32.140084Z", "iopub.status.busy": "2023-03-27T22:08:32.139897Z", "shell.execute_reply": "2023-03-27T23:29:06.542387Z" } }, "outputs": [ { "data": { "text/html": [ "
[12:48:45] Created task 'thz_demultiplexer' with task_id                                              webapi.py:139\n",
       "           'fdve-2179573f-f8da-4e17-b52f-ae71c3779f13v1'.                                                          \n",
       "
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      ],
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     "metadata": {},
     "output_type": "display_data"
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[12:48:50] status = queued                                                                            webapi.py:269\n",
       "
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[12:48:55] status = preprocess                                                                        webapi.py:263\n",
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[12:49:02] Maximum FlexCredit cost: 6.783. Use 'web.real_cost(task_id)' to get the billed FlexCredit cost webapi.py:286\n",
       "           after a simulation run.                                                                                 \n",
       "
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           starting up solver                                                                         webapi.py:290\n",
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           running solver                                                                             webapi.py:300\n",
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           status = postprocess                                                                       webapi.py:330\n",
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[14:08:17] loading SimulationData from data/simulation_data.hdf5                                      webapi.py:512\n",
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"iopub.execute_input": "2023-03-27T23:29:15.865750Z", "iopub.status.busy": "2023-03-27T23:29:15.865366Z", "iopub.status.idle": "2023-03-27T23:29:18.383177Z", "shell.execute_reply": "2023-03-27T23:29:18.382605Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = fig.add_subplot(111)\n", "sim_data.plot_field(\n", " field_monitor_name=\"field\",\n", " field_name=\"E\",\n", " val=\"abs^2\",\n", " ax=ax,\n", " f=freq1,\n", " vmin=0,\n", " vmax=0.01,\n", ")\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "95a9ce10", "metadata": {}, "source": [ "At 380.2 GHz, the power is transmitted to the drop port." ] }, { "cell_type": "code", "execution_count": 10, "id": "d4dd2c1d", "metadata": { "execution": { "iopub.execute_input": "2023-03-27T23:29:18.385327Z", "iopub.status.busy": "2023-03-27T23:29:18.385137Z", "iopub.status.idle": "2023-03-27T23:29:20.831370Z", "shell.execute_reply": "2023-03-27T23:29:20.830820Z" } }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = plt.figure()\n", "ax = fig.add_subplot(111)\n", "sim_data.plot_field(\n", " field_monitor_name=\"field\",\n", " field_name=\"E\",\n", " val=\"abs^2\",\n", " ax=ax,\n", " f=freq2,\n", " vmin=0,\n", " vmax=0.01,\n", ")\n", "plt.show()\n" ] }, { "cell_type": "markdown", "id": "b9be1f9e", "metadata": {}, "source": [ "Plot the transmission spectra at the through port and the drop port. A sub 1.5 dB transmission loss as well as a ~3 GHz free spectral range is observed." ] }, { "cell_type": "code", "execution_count": 11, "id": "67b11d63", "metadata": { "execution": { "iopub.execute_input": "2023-03-27T23:29:20.833480Z", "iopub.status.busy": "2023-03-27T23:29:20.833257Z", "iopub.status.idle": "2023-03-27T23:29:20.986358Z", "shell.execute_reply": "2023-03-27T23:29:20.985786Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "T1 = sim_data[\"flux1\"].flux\n", "T2 = sim_data[\"flux2\"].flux\n", "\n", "plt.plot(freqs / 1e9, 10 * np.log10(T1), freqs / 1e9, 10 * np.log10(T2))\n", "plt.xlabel(\"Frequency (GHz)\")\n", "plt.ylabel(\"Transmission (dB)\")\n", "plt.legend((\"Through port\", \"Drop port\"))\n", "plt.show()\n" ] }, { "cell_type": "code", "execution_count": null, "id": "2b2419f3", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.9" }, "widgets": { "application/vnd.jupyter.widget-state+json": { "state": { "1fc6796aa50f4232ad2846e169cfa55a": { "model_module": "@jupyter-widgets/output", "model_module_version": "1.0.0", "model_name": "OutputModel", "state": { "_dom_classes": [], "_model_module": "@jupyter-widgets/output", "_model_module_version": "1.0.0", "_model_name": "OutputModel", "_view_count": null, "_view_module": "@jupyter-widgets/output", "_view_module_version": "1.0.0", "_view_name": "OutputView", "layout": "IPY_MODEL_cc7d3a48766949e9b68b73afd2261e13", "msg_id": "", "outputs": [ { "data": { "text/html": "
\u2191 simulation.json \u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501 100.0% \u2022 17.4/17.4 kB \u2022 ? \u2022 0:00:00\n
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% done (field decay = 8.44e-02) \u2501\u2501\u2501\u257a\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501\u2501   8% -:--:--\n
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\ud83c\udfc3  Starting 'thz_demultiplexer'...\n
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