{ "cells": [ { "cell_type": "markdown", "id": "965809f5", "metadata": { "id": "f6e56e983e89479baa92107be8358d11" }, "source": [ "# Tutorial 2: Sweeping the accuracy of a LOM across a parameter space\n", "\n", "For users with a wide range of parameter regimes, you may want to compare the model accuracy across a wide range of values. This tutorial allows you to compare the accuracy of each LOM method for a sweep of values. " ] }, { "cell_type": "code", "execution_count": 1, "id": "f009c71a", "metadata": { "id": "23e24bcc1df745cb8b82166d0249ad79" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "All imports OK\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import skrf as rf\n", "\n", "# lcfitter top-level imports\n", "from simpleLOMs import CPWParams, FosterFit, OptimizedFit, AnalyticalFit, analyze_system\n", "\n", "# Sub-module imports used in Section 2\n", "from simpleLOMs.elements import coupling_capacitor, shunt_capacitor, lc_resonator\n", "from simpleLOMs.networks.cpw import cpw_resonator_network_2port\n", "from simpleLOMs.networks.lc import lc_resonator_network_2port, lc_resonator_network_with_grounds_2port\n", "from simpleLOMs.analysis import resonance, fwhm_from_trace_db, resonances_from_s\n", "from simpleLOMs.plotting import plot_re_im, plot_lom_vs_data_re_im, plot_all_models\n", "from simpleLOMs.models.optimized_fit import OptimizationConfig\n", "from simpleLOMs import system\n", "\n", "print(\"All imports OK\")" ] }, { "cell_type": "code", "execution_count": 2, "id": "64ed71b0", "metadata": { "id": "23a98fdaf30c4f2b9fbcbed18797a0e2" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPWParams(w=1.17e-05, s=5.1e-06, t=0.0, h=0.0005, rho=1e-19, ep_r=11.45, has_metal_backside=True, tand=0.0)\n", "Load 1 bare resonance: 4.5944 GHz\n", "Load 2 bare resonance: 3.2487 GHz\n" ] } ], "source": [ "cpw_params = CPWParams(\n", " w=11.7e-6, # center conductor width (m)\n", " s=5.1e-6, # gap spacing (m)\n", " t=0.0, # metal thickness \u2014 0 = ideal thin film\n", " h=500e-6, # substrate height (m)\n", " rho=1e-19, # resistivity \u2248 0 \u2192 superconducting limit\n", " ep_r=11.45, # relative permittivity (ultracold silicon)\n", " has_metal_backside=True,\n", " tand=0.0, # lossless substrate\n", ")\n", "\n", "print(cpw_params) \n", "\n", "d = 7.0e-3 # Resonator length (m). This system sets resonance near 8.5 GHz\n", "Z0 = 50.0 # reference impedance in Ohms\n", "\n", "Cc1 = 6.0e-14 # coupling capacitor, port 1 (F)\n", "Cc2 = 5.0e-14 # coupling capacitor, port 2 (F)\n", "Ctog1 = 4.0e-14 # shunt-to-ground cap, port 1 side (F)\n", "Ctog2 = 6.0e-14 # shunt-to-ground cap, port 2 side (F)\n", "\n", "\n", "Lload1 = 2e-09 # load 1 inductance (H)\n", "Cload1 = 6.0e-13 # load 1 capacitance (F)\n", "Lload2 = 4e-09 # load 2 inductance (H)\n", "Cload2 = 6.0e-13 # load 2 capacitance (F)\n", "\n", "# We can get the load's bare resonannce from the known LC formula.\n", "f_load1 = 1.0 / (2 * np.pi * np.sqrt(Lload1 * Cload1)) / 1e9\n", "f_load2 = 1.0 / (2 * np.pi * np.sqrt(Lload2 * Cload2)) / 1e9\n", "print(f\"Load 1 bare resonance: {f_load1:.4f} GHz\")\n", "print(f\"Load 2 bare resonance: {f_load2:.4f} GHz\")" ] }, { "cell_type": "code", "execution_count": 3, "id": "395f59f6", "metadata": { "id": "ddd85a00ccc7421391040a09f64bbca3" }, "outputs": [], "source": [ "freq = rf.Frequency(4e9, 12e9, 100_001, unit=\"Hz\")\n" ] }, { "cell_type": "markdown", "id": "3c03587b", "metadata": { "id": "386f62f67648413983c2d8b7588fd93b" }, "source": [ "For this tutorial we set very loose initial parameters but we do not reccomend doing this." ] }, { "cell_type": "code", "execution_count": 4, "id": "68696a84", "metadata": { "id": "96293b6f704f449cb63d27ab5ead50ea" }, "outputs": [], "source": [ "config = OptimizationConfig(\n", " w0_window_frac=0.005, \n", " n_w0=5, \n", " n_dense=10, \n", " n_widths=1.0, \n", " verbose=False, \n", ")" ] }, { "cell_type": "code", "execution_count": null, "id": "3ff94411", "metadata": { "id": "d538c0bd1ac445b4af18a9b5ba921226" }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Sweep grid: Cc1(3) \u00d7 Cc2(3) = 9 points\n", "Sweeping (9 points)...\n" ] }, { "data": { "image/png": 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", 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "results_grid = system.run_accuracy_sweep(\n", " sweep_params={\n", " \"Cc1\": np.linspace(1e-15, 20e-15, 3),\n", " \"Cc2\": np.linspace(1e-15, 20e-15, 3),\n", " },\n", " fixed_params=dict(\n", " freq=freq, d=7e-3,\n", " Ctog1=1e-14, Ctog2=1e-14,\n", " Lload1=5e-10, Cload1=6e-13,\n", " Lload2=5e-10, Cload2=6e-13,\n", " cpw_params=cpw_params, Z0=50.0,\n", " analytical_Z0=45.926,\n", " opt_config = config\n", " ),\n", " save_path=\"results/cc_sweep.json\",\n", ")" ] }, { "cell_type": "code", "execution_count": null, "id": "22d0547a", "metadata": { "id": "3177e56c74ed4c1e9d23784bf973ce48" }, "outputs": [], "source": [ "plot_error_heatmap_trio(\n", " results_grid,\n", " param1_values=Cc_values,\n", " param2_values=f_load_values / 1e9, # already in GHz, scale=1\n", " param1_label=\"Cc\",\n", " param2_label=\"Load frequency\",\n", " metric=\"shift_max\",\n", " param1_scale=1e15,\n", " param2_scale=1.0,\n", " param1_unit=\"fF\",\n", " param2_unit=\"GHz\",\n", " title=\"Max shift error \u2014 all models, Cc vs load frequency\",\n", " save_path=\"figures/trio_shift_max.pdf\",\n", ")" ] } ], "metadata": { "kernelspec": { "display_name": ".venv (3.9.6)", "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 }