{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Estimate leakage severity as a function of radius" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "\u001b[93m>>> PyXSPEC is not installed, you will no be able to use it.\u001b[0m\n" ] } ], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import leakagelib" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This code plots the leakage severity as a function of radius. To start, we'll create a model point source and get the sky calibrated PSF. We'll assume Moments data, and use the PSF at position angle zero." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "DETECTOR = 3\n", "SOURCE_SIZE = 101 # Pixels\n", "PIXEL_SIZE = 1 # arcsec. Since we aren't using data, it's OK to make it this small\n", "\n", "source = leakagelib.Source.delta(SOURCE_SIZE, PIXEL_SIZE)\n", "psf = leakagelib.PSF.sky_cal(DETECTOR, source, 0)\n", "combo = leakagelib.PSFSourceCombo(source, psf, use_nn=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The next step is to get the normalized leakage patterns. We'll use a sample power-law spectrum." ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ">>> Reading (in memory) /opt/homebrew/anaconda3/lib/python3.12/site-packages/ixpeobssim/caldb/ixpe/gpd/cpf/arf/ixpe_d1_obssim20240101_v013.arf...\n" ] } ], "source": [ "spectrum = leakagelib.DataSpectrum.from_power_law_index(2)\n", "pred_i, q_norm, u_norm = combo.compute_leakage(spectrum, normalize=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "These leakage images are the raw Q and U patterns of the events. If we started to extract physical polarizations, we would divide by mu. So let's do that." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "pd_image = np.sqrt(q_norm**2 + u_norm**2) * spectrum.get_avg_one_over_mu(use_nn=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let's view that image" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "c = ax.pcolormesh(source.pixel_centers, source.pixel_centers, np.transpose(pd_image)*100, vmin=0)\n", "ax.set_xlim(50,-50)\n", "ax.set_ylim(-50, 50)\n", "ax.set_aspect(\"equal\")\n", "fig.colorbar(c, label=\"Leakage PD [%]\");" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we plot the PD as a function of radius. " ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots() \n", "pd_bins = np.linspace(0, 0.75, 100)\n", "pd_bin_centers = (pd_bins[1:] + pd_bins[:-1]) / 2\n", "pd_counts = np.histogram(pd_image, pd_bins)[0]\n", "pd_cdf = 1 - np.cumsum(pd_counts) / np.sum(pd_counts)\n", "\n", "ax.plot(100*pd_bin_centers, pd_cdf, lw=3, color='k', label=\"Moments\")\n", "limit = np.interp(0.05, np.flip(pd_cdf), np.flip(pd_bin_centers))\n", "ax.axvline(100*limit, lw=1, color='k')\n", "ax.text(100*limit+0.5, 0.95, f\"95%\", ha='left', va='top', rotation=90)\n", "\n", "ax.set_ylim(0, 1)\n", "ax.set_xlim(0, 75)\n", "ax.set_xlabel(\"$\\\\mu$-corrected polarization degree (PD) [%]\")\n", "ax.set_ylabel(\"Image fraction with larger PD\")\n", "ax.legend();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "You can try going back and changing detectors or the analysis methods. For example: neural nets give much less leakage." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "combo = leakagelib.PSFSourceCombo(source, psf, use_nn=True)\n", "pred_i, q_norm, u_norm = combo.compute_leakage(spectrum, normalize=True)\n", "pd_image_nn = np.sqrt(q_norm**2 + u_norm**2) * spectrum.get_avg_one_over_mu(use_nn=True)\n", "\n", "fig, ax = plt.subplots() \n", "pd_counts = np.histogram(pd_image_nn, pd_bins)[0]\n", "pd_cdf_nn = 1 - np.cumsum(pd_counts) / np.sum(pd_counts)\n", "\n", "ax.plot(100*pd_bin_centers, pd_cdf, lw=3, color='k', label=\"Moments\")\n", "limit = np.interp(0.05, np.flip(pd_cdf), np.flip(pd_bin_centers))\n", "ax.axvline(100*limit, lw=1, color='k')\n", "ax.text(100*limit+0.5, 0.95, f\"95%\", ha='left', va='top', rotation=90)\n", "\n", "ax.plot(100*pd_bin_centers, pd_cdf_nn, lw=3, color='r', label=\"NN\")\n", "limit = np.interp(0.05, np.flip(pd_cdf_nn), np.flip(pd_bin_centers))\n", "ax.axvline(100*limit, lw=1, color='r')\n", "ax.text(100*limit+0.5, 0.95, f\"95%\", ha='left', va='top', rotation=90, color='r')\n", "\n", "ax.set_ylim(0, 1)\n", "ax.set_xlim(0, 75)\n", "ax.set_xlabel(\"$\\\\mu$-corrected polarization degree (PD) [%]\")\n", "ax.set_ylabel(\"Image fraction with larger PD\")\n", "ax.legend();" ] } ], "metadata": { "kernelspec": { "display_name": "base", "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": "3.12.2" } }, "nbformat": 4, "nbformat_minor": 2 }