{ "cells": [ { "cell_type": "code", "execution_count": 1, "id": "1c9471c4", "metadata": {}, "outputs": [], "source": [ "import pandas as pd\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import matplotlib.ticker as mticker\n", "\n", "import ppops" ] }, { "cell_type": "code", "execution_count": 2, "id": "3cd3d553", "metadata": {}, "outputs": [], "source": [ "# Import Calibration Data\n", "cal_df = pd.read_csv(\"../../data/calibration/manually_extracted_points.txt\", skiprows=5)" ] }, { "cell_type": "code", "execution_count": 3, "id": "2c3d7db0", "metadata": {}, "outputs": [], "source": [ "# Create PPOPS instance\n", "ops = ppops.OpticalParticleSpectrometer(laser_power=70, pmt_control_voltage=0.619)\n", "\n", "# Define diameters from 100 nm to 2000 nm for signal estimation\n", "diameters = np.arange(0.1, 2.0, 0.01) # in micrometers\n", "\n", "# Define the refractive index of polystyrene latex at 405 nm\n", "psl_ri = 1.6237 + 7.7305e-7j\n", "\n", "# Define the refractive index of dioctyl sebacate at 405 nm\n", "dos_ri = 1.45" ] }, { "cell_type": "markdown", "id": "c762eecc", "metadata": {}, "source": [ "# Signal Comparison\n", "Here we compare the signal as calculated by the PPOPS model and the POPS\n", "signal from using polystyrene latex calibration spheres (Fig. 1). To \n", "make a nice visual match, we scale the signal by 1.5x (Fig. 2).\n", "\n", "NOTE: this calculation uses the actual PMT control voltage of the POPS\n", "that measured the calibration points. This voltage is unique to each\n", "POPS as it is set in factor as part of the calibration process. To measure\n", "the PMT control voltage for your POPS, you must measure the voltage\n", "difference between the ground and gain \"loops\" located on the PMT board." ] }, { "cell_type": "code", "execution_count": null, "id": "7ae6c303", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "### Figure 1: Comparison of PPOPS Predictions to Calibration Points ###\n", "signal, noise = ops.estimate_signal_noise(ri=psl_ri, diameters=diameters)\n", "digitized_signal = ppops.digitize_signal(signal)\n", "\n", "fig, ax = plt.subplots(figsize=(6, 4))\n", "ax.plot(diameters, digitized_signal, label=\"PPOPS Prediction\", color=\"tab:blue\")\n", "ax.scatter(\n", " cal_df[\"Diameter (nm)\"] / 1000,\n", " cal_df[\"Signal (arb.)\"],\n", " color=\"tab:orange\",\n", " label=\"Polystyrene Latex Calibration Points\",\n", ")\n", "ax.set_yscale(\"log\")\n", "ax.set_xscale(\"log\")\n", "ax.xaxis.set_major_formatter(mticker.ScalarFormatter())\n", "ax.set_xlabel(\"Diameter (µm)\")\n", "ax.set_ylabel(\"Signal (digitizer bins)\")\n", "ax.set_title(\"Signal Comparison (100 to 2000 nm)\")\n", "ax.legend()\n", "fig.tight_layout()" ] }, { "cell_type": "code", "execution_count": 5, "id": "4f7400f8", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "### Figure 2. Compare Scaled PPOPS Predictions to Calibration Points ###\n", "# Scaling factor to better match the calibration points\n", "signal_scaling_factor = 1.5\n", "\n", "fig, ax = plt.subplots(figsize=(6, 4))\n", "ax.plot(\n", " diameters,\n", " digitized_signal * signal_scaling_factor,\n", " label=\"PPOPS Prediction (scaled)\",\n", " color=\"tab:blue\",\n", ")\n", "ax.scatter(\n", " cal_df[\"Diameter (nm)\"] / 1000,\n", " cal_df[\"Signal (arb.)\"],\n", " color=\"tab:orange\",\n", " label=\"Polystyrene Latex Calibration Points\",\n", ")\n", "ax.set_yscale(\"log\")\n", "ax.set_xscale(\"log\")\n", "ax.xaxis.set_major_formatter(mticker.ScalarFormatter())\n", "ax.set_xlabel(\"Diameter (µm)\")\n", "ax.set_ylabel(\"Signal (digitizer bins)\")\n", "ax.set_title(\"Scaled Signal Comparison (100 to 2000 nm)\")\n", "ax.legend()\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "id": "c83cb6ad", "metadata": {}, "source": [ "# Noise Comparison\n", "\n", "PPOPS estimates shot noise but it does not estimate noise from stray\n", "light which is likely the main source of noise. Thus, we rely on actual\n", "instrument data to calculate a scaling factor. Unfortunately, since POPS\n", "only records peak heights, we are limited to a figure from Gao et. al.,\n", "Aerosol Sci. Technol., 2016 where we visually estimate the noise range\n", "to be 20 digitizer bins for a 140 nm DOS particle. The resulting scaling\n", "term is 19x." ] }, { "cell_type": "code", "execution_count": null, "id": "be4a1e3e", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "### Figure 3: Comparison of PPOPS Noise Predictions to Gao et al., Aerosol Sci. Technol., 2016 Figure 5 ###\n", "# Calculate the standard deviation of the noise from Gao et al., Aerosol Sci. Technol., 2016 Figure 5\n", "dos_noise_SD = 20 / 4\n", "\n", "signal, noise = ops.estimate_signal_noise(ri=dos_ri, diameters=diameters)\n", "digitized_noise = ppops.digitize_signal(noise)\n", "\n", "fig, ax = plt.subplots(figsize=(6, 4))\n", "ax.plot(diameters, digitized_noise, label=\"PPOPS Noise Prediction\")\n", "ax.scatter(0.140, dos_noise_SD, color=\"tab:orange\", label=\"Fig. 5 from Gao et al. 2016\")\n", "ax.set_yscale(\"log\")\n", "ax.set_xscale(\"log\")\n", "ax.xaxis.set_major_formatter(mticker.ScalarFormatter())\n", "ax.set_xlabel(\"Diameter (µm)\")\n", "ax.set_ylabel(\"Noise (digitizer bins)\")\n", "ax.set_title(\"Noise Comparison (100 to 2000 nm)\")\n", "ax.legend()\n", "fig.tight_layout()" ] }, { "cell_type": "code", "execution_count": null, "id": "a2a932e2", "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "### Figure 4: Comparison of Scaled PPOPS Noise Predictions to Gao et al., Aerosol Sci. Technol., 2016 Figure 5 ###\n", "# Scaling factor to better match the point from Gao et al., Aerosol Sci. Technol., 2016\n", "noise_scaling_factor = 19\n", "\n", "fig, ax = plt.subplots(figsize=(6, 4))\n", "ax.plot(\n", " diameters,\n", " digitized_noise * noise_scaling_factor,\n", " label=\"PPOPS Noise Prediction (scaled)\",\n", ")\n", "ax.scatter(\n", " 0.140,\n", " dos_noise_SD,\n", " color=\"tab:orange\",\n", " label=\"From Figure 5 from Gao et al. 2016 (140 nm DOS)\",\n", ")\n", "ax.set_yscale(\"log\")\n", "ax.set_xscale(\"log\")\n", "ax.xaxis.set_major_formatter(mticker.ScalarFormatter())\n", "ax.set_xlabel(\"Diameter (µm)\")\n", "ax.set_ylabel(\"Noise (digitizer bins)\")\n", "ax.set_title(\"Scaled Noise Comparison (100 to 2000 nm)\")\n", "ax.legend()\n", "fig.tight_layout()" ] } ], "metadata": { "kernelspec": { "display_name": "ppops_dev", "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": "3.14.2" } }, "nbformat": 4, "nbformat_minor": 5 }