{ "cells": [ { "cell_type": "markdown", "id": "14cbae6f", "metadata": {}, "source": [ "# Tutorial 7: Designing a CPW resonator to match targets\n", "\n", "In this tutorial you will learn how to design a circuit-level model distributed element in order to meet design targets.\n", "\n", "For this tutorial, we will use the design targets of readout frequency $f_r$ and quality factor $Q$.\n", "In order to meet these targets we will vary the resonator length\n", "$d$ and the coupling capacitor $C_c$, in the case of symmetric coupling on both sides.\n", "\n", "This is shown for the purposes of demonstration, but the processes shown in this tutorial can be used to\n", "perform sweeps for various circuit and geometric parameters to target certain specs. \n" ] }, { "cell_type": "code", "execution_count": 2, "id": "e32457be", "metadata": { "execution": { "iopub.execute_input": "2026-07-19T05:34:25.469171Z", "iopub.status.busy": "2026-07-19T05:34:25.468853Z", "iopub.status.idle": "2026-07-19T05:34:26.385762Z", "shell.execute_reply": "2026-07-19T05:34:26.385040Z" } }, "outputs": [], "source": [ "import warnings\n", "warnings.filterwarnings(\"ignore\")\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import skrf as rf\n", "\n", "import simpleLOMs as sl\n", "\n", "sl.apply_style()\n" ] }, { "cell_type": "markdown", "id": "d29ec8af", "metadata": {}, "source": [ "## Setup\n", "\n", "\n", "First we define our CPW and choose what LOM model to use.\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "aeb9747f", "metadata": { "execution": { "iopub.execute_input": "2026-07-19T05:34:26.392451Z", "iopub.status.busy": "2026-07-19T05:34:26.392079Z", "iopub.status.idle": "2026-07-19T05:34:26.395872Z", "shell.execute_reply": "2026-07-19T05:34:26.395188Z" } }, "outputs": [], "source": [ "cpw = sl.CPWParams(ep_r=11.45)\n", "freq = rf.Frequency(4e9, 12e9, 8001, unit=\"Hz\")\n", "MODEL = \"optimized\" # or \"foster\" / \"analytical\"\n" ] }, { "cell_type": "markdown", "id": "9b9a921b", "metadata": {}, "source": [ "We will now define the target $f_0$ and $Q$ for our resonator. Here, our target $f_0 = 7 \\text{GHz}$ and our target $Q=8000$.\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "01077dc0", "metadata": { "execution": { "iopub.execute_input": "2026-07-19T05:34:26.403172Z", "iopub.status.busy": "2026-07-19T05:34:26.402749Z", "iopub.status.idle": "2026-07-19T05:34:26.406971Z", "shell.execute_reply": "2026-07-19T05:34:26.405593Z" } }, "outputs": [], "source": [ "target_Q = 8000\n", "target_f = 7.0\n" ] }, { "cell_type": "markdown", "id": "6db2e711", "metadata": {}, "source": [ "In this tutorial we will match the design to these targets by first picking $d$ to match the target frequency, then picking $C_c$ for the\n", "quality factor.\n" ] }, { "cell_type": "markdown", "id": "76711e57", "metadata": {}, "source": [ "## 1. Matching circuit parameters to design targets\n" ] }, { "cell_type": "markdown", "id": "e49044b1", "metadata": {}, "source": [ "### 1a. Map length to frequency\n", "\n", "First we sweep the resonator length and measure $f_0$ at a fixed reference coupling. The\n", "relationship is smooth and monotonic, so we can interpolate it to solve for the\n", "length that hits a target frequency.\n" ] }, { "cell_type": "code", "execution_count": 5, "id": "fae67d65", "metadata": { "execution": { "iopub.execute_input": "2026-07-19T05:34:26.411165Z", "iopub.status.busy": "2026-07-19T05:34:26.410905Z", "iopub.status.idle": "2026-07-19T05:37:02.783897Z", "shell.execute_reply": "2026-07-19T05:37:02.780971Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "d = 5.50 mm f0 = 10.5807 GHz\n", "d = 6.00 mm f0 = 9.7244 GHz\n", "d = 6.50 mm f0 = 8.9963 GHz\n", "d = 7.00 mm f0 = 8.3697 GHz\n", "d = 7.50 mm f0 = 7.8246 GHz\n", "d = 8.00 mm f0 = 7.3463 GHz\n", "d = 8.50 mm f0 = 6.9230 GHz\n", "d = 9.00 mm f0 = 6.5459 GHz\n" ] } ], "source": [ "d_values = np.linspace(5.5e-3, 9.0e-3, 8)\n", "f_of_d = np.array([sl.extract_f0_kappa(cpw, d=d, Cc=6e-15)[0] / 1e9 for d in d_values])\n", "\n", "for d, f in zip(d_values, f_of_d):\n", " print(\"d = {:.2f} mm f0 = {:.4f} GHz\".format(d * 1e3, f))\n" ] }, { "cell_type": "code", "execution_count": 6, "id": "2c3b2665", "metadata": { "execution": { "iopub.execute_input": "2026-07-19T05:37:02.788938Z", "iopub.status.busy": "2026-07-19T05:37:02.788578Z", "iopub.status.idle": "2026-07-19T05:37:03.004153Z", "shell.execute_reply": "2026-07-19T05:37:03.003195Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "target f_r = 7.00 GHz -> d = 8.409 mm\n" ] }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "d_star = sl.invert_monotonic(d_values, f_of_d, target_f)\n", "print(\"target f_r = {:.2f} GHz -> d = {:.3f} mm\".format(target_f, d_star * 1e3))\n", "\n", "sl.plot_curves(\n", " d_values * 1e3, f_of_d,\n", " xlabel=sl.LABEL_LENGTH,\n", " ylabel=sl.LABEL_F0,\n", " fmt=\"o-\",\n", " color=sl.COLOR_PRIMARY,\n", " hline=target_f,\n", " vline=d_star * 1e3,\n", " point=(d_star * 1e3, target_f),\n", ")\n" ] }, { "cell_type": "markdown", "id": "ab495a19", "metadata": {}, "source": [ "### 1b. At that length, map coupling to quality factor\n", "\n", "Now fix $d = d^\\star$ and sweep the coupling capacitor. We need the lumped `L`, `C`\n", "at this length (for the $Q$ bookkeeping), which one `fit_lom` call provides\n", "(default model: optimized).\n", "\n", "> **Note on loss:** These chips are lossless, so the achieved $Q$ is the coupling $Q_c$.\n", "> With a finite internal $Q_i$, design $Q_c$ to a target loaded\n", "> $Q_\\ell^{-1} = Q_c^{-1} + Q_i^{-1}$.\n" ] }, { "cell_type": "code", "execution_count": 7, "id": "c9d4ce72", "metadata": { "execution": { "iopub.execute_input": "2026-07-19T05:37:03.007014Z", "iopub.status.busy": "2026-07-19T05:37:03.006826Z", "iopub.status.idle": "2026-07-19T05:37:50.899941Z", "shell.execute_reply": "2026-07-19T05:37:50.898580Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Cc = 2.0 fF Q = 43261\n", "Cc = 3.7 fF Q = 12684\n", "Cc = 5.4 fF Q = 5981\n", "Cc = 7.1 fF Q = 3479\n", "Cc = 8.9 fF Q = 2279\n", "Cc = 10.6 fF Q = 1611\n", "Cc = 12.3 fF Q = 1201\n", "Cc = 14.0 fF Q = 932\n" ] } ], "source": [ "L_star, C_star = sl.fit_lom(d_star, model=MODEL, cpw_params=cpw, freq=freq)\n", "\n", "Cc_values = np.linspace(2e-15, 14e-15, 8)\n", "Q_of_Cc = []\n", "for Cc in Cc_values:\n", " _, kappa = sl.extract_f0_kappa(cpw, d=d_star, Cc=Cc)\n", " Q_of_Cc.append(sl.resonator_readout_params(L_star, C_star, kappa_Hz=kappa).Q)\n", "Q_of_Cc = np.array(Q_of_Cc)\n", "\n", "for Cc, Q in zip(Cc_values, Q_of_Cc):\n", " print(\"Cc = {:4.1f} fF Q = {:8.0f}\".format(Cc * 1e15, Q))\n" ] }, { "cell_type": "markdown", "id": "ed686651", "metadata": {}, "source": [ "We now invert it to get the $Cc$ value for our target $Q$.\n" ] }, { "cell_type": "code", "execution_count": 8, "id": "723ce123", "metadata": { "execution": { "iopub.execute_input": "2026-07-19T05:37:50.903495Z", "iopub.status.busy": "2026-07-19T05:37:50.903291Z", "iopub.status.idle": "2026-07-19T05:37:51.081436Z", "shell.execute_reply": "2026-07-19T05:37:51.080198Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "target Q = 8000 -> Cc = 4.69 fF\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "(
,\n", " )" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "Cc_star = sl.invert_monotonic(Cc_values, Q_of_Cc, target_Q, log=True)\n", "print(\"target Q = {} -> Cc = {:.2f} fF\".format(target_Q, Cc_star * 1e15))\n", "\n", "sl.plot_curves(\n", " Cc_values * 1e15, Q_of_Cc,\n", " xlabel=sl.LABEL_CC,\n", " ylabel=sl.axis_label(\"Loaded quality factor\", \"Q\"),\n", " fmt=\"o-\",\n", " color=sl.COLOR_PRIMARY,\n", " xscale=\"log\", yscale=\"log\",\n", " hline=target_Q,\n", " vline=Cc_star * 1e15,\n", " point=(Cc_star * 1e15, target_Q),\n", ")\n" ] }, { "cell_type": "markdown", "id": "291eca9f", "metadata": {}, "source": [ "## 2. Assemble the design and verify it\n", "\n", "We now have a candidate $(d^\\star, C_c^\\star)$. Build it, measure $f_0$ and\n", "$\\kappa$, and check both targets at once with a full readout report.\n" ] }, { "cell_type": "code", "execution_count": 9, "id": "5becf2bb", "metadata": { "execution": { "iopub.execute_input": "2026-07-19T05:37:51.085027Z", "iopub.status.busy": "2026-07-19T05:37:51.084751Z", "iopub.status.idle": "2026-07-19T05:37:55.593869Z", "shell.execute_reply": "2026-07-19T05:37:55.593141Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Resonator readout parameters\n", "----------------------------\n", " f_r = 7.0514 GHz\n", " Z_r = 29.74 Ohm\n", " L = 0.6712 nH\n", " C = 758.9574 fF\n", " V_zpf = 1.754 uV\n", " I_zpf = 58.995 nA\n", " kappa/2pi = 0.8817 MHz\n", " Q (loaded) = 7998\n", " tau_photon = 180.5 ns\n", "\n", "target f_r = 7.00 GHz achieved f0 = 7.008 GHz (+0.1 %)\n", "target Q = 8000 achieved Q = 7998 (-0.0 %)\n" ] } ], "source": [ "f0, kappa = sl.extract_f0_kappa(cpw, d=d_star, Cc=Cc_star)\n", "rp = sl.resonator_readout_params(L_star, C_star, kappa_Hz=kappa)\n", "\n", "print(rp.summary())\n", "print()\n", "print(\"target f_r = {:.2f} GHz achieved f0 = {:.3f} GHz ({:+.1f} %)\".format(\n", " target_f, f0 / 1e9, 100 * (f0 / 1e9 - target_f) / target_f))\n", "print(\"target Q = {:<6d} achieved Q = {:.0f} ({:+.1f} %)\".format(\n", " target_Q, rp.Q, 100 * (rp.Q - target_Q) / target_Q))\n" ] }, { "cell_type": "markdown", "id": "590382f9", "metadata": {}, "source": [ "## 3. Bundle it into a reusable design function\n", "\n", "The two inversions compose into `sl.design_resonator`, which runs a short length\n", "sweep and a short coupling sweep, interpolates each, and returns the geometry\n", "plus the achieved parameters.\n" ] }, { "cell_type": "code", "execution_count": 10, "id": "8f36faa1", "metadata": { "execution": { "iopub.execute_input": "2026-07-19T05:37:55.597760Z", "iopub.status.busy": "2026-07-19T05:37:55.597546Z", "iopub.status.idle": "2026-07-19T05:40:24.126980Z", "shell.execute_reply": "2026-07-19T05:40:24.125442Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "spec: f_r=9.0 GHz, Q=2000 -> d=6.52 mm, Cc=7.36 fF (achieved f0=8.96 GHz, Q=1999)\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ "spec: f_r=7.5 GHz, Q=10000 -> d=7.85 mm, Cc=3.91 fF (achieved f0=7.51 GHz, Q=9999)\n" ] } ], "source": [ "for tf, tQ in [(9.0, 2000), (7.5, 10000)]:\n", " d, Cc, f0_GHz, rp = sl.design_resonator(\n", " tf, tQ, cpw, freq=freq, model=MODEL,\n", " )\n", " print(\"spec: f_r={:.1f} GHz, Q={:<6d} -> d={:.2f} mm, Cc={:.2f} fF\"\n", " \" (achieved f0={:.2f} GHz, Q={:.0f})\".format(\n", " tf, tQ, d * 1e3, Cc * 1e15, f0_GHz, rp.Q))\n" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.9.6" } }, "nbformat": 4, "nbformat_minor": 5 }