{
"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": {
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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",
"text/plain": [
""
]
},
"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",
"
[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",
"
\n"
],
"text/plain": [
"\u001b[2;36m[12:49:02]\u001b[0m\u001b[2;36m \u001b[0mMaximum FlexCredit cost: \u001b[1;36m6.783\u001b[0m. 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 FlexCredit cost \u001b]8;id=111357;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py\u001b\\\u001b[2mwebapi.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=860973;file://C:\\Users\\xinzhong\\Desktop\\tidy3d\\tidy3d\\web\\webapi.py#286\u001b\\\u001b[2m286\u001b[0m\u001b]8;;\u001b\\\n",
"\u001b[2;36m \u001b[0mafter a simulation run. \u001b[2m \u001b[0m\n"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"text/html": [
"