{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Fitting to a real extended source\n", "\n", "_Weights used:_\n", "* Spatial\n", "\n", "This jupyter notebook fits for the polarization of a real extended source. The source (Crab) was prepared in the previous notebook. This notebook extracts the the pulsar's phase-averaged and nebula spatially-averaged polarization separately." ] }, { "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 leakagelib" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we load the 2-8 keV data. Since the spatial weights image created last notebook was centered at IXPE pixel (300, 300) by default, we center the IXPE data on (300, 300)" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ">>> Reading (in memory) /opt/homebrew/anaconda3/lib/python3.12/site-packages/ixpeobssim/caldb/ixpe/xrt/bcf/vign/ixpe_d1_obssim20240101_vign_v013.fits...\n" ] } ], "source": [ "# Load the extended source data\n", "datas = leakagelib.IXPEData.load_all_detectors_with_path(\"data\", \"02006001\")\n", "\n", "for data in datas:\n", " data.explicit_center(300,300)\n", " data.retain(data.evt_energies > 2)\n", " data.retain(data.evt_energies < 8)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The spatial weights image we created in the last notebook should be loaded using `Source.load_file`:" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "settings = leakagelib.FitSettings(datas)\n", "source = leakagelib.Source.load_file(\"data/13146/crab.fits\")\n", "settings.add_source(source, \"neb\")\n", "settings.fix_flux(\"neb\", 1)\n", "settings.set_initial_qu(\"neb\", (0, 0))" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We'll set an ROI of 60 arcseconds, to avoid the more complicated structures farther than the pulsar." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "636247 events were cut for being outside the region of interest.\n" ] } ], "source": [ "settings.apply_circular_roi(60)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now we create a fitter object so we can compare the data to the fitter's prediction..." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Data set 02006001 DU 1 had no exposure map loaded. Please load an exposure map if you are fitting to events in the vignetted portion.\n", "/Users/jtd/Documents/research/ixpepl/code/leakagelib/src/leakagelib/ps_fit/fitter.py:197: RuntimeWarning: invalid value encountered in divide\n", " pred /= counts\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fitter = leakagelib.Fitter(settings)\n", "fitter.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "...but clearly, these images are not aligned. This is because the IXPE WCS is not aligned with the Chandra WCS. In a real analysis, I suggest editing the IXPE events file header (and the exposure map header, if using) to make it match the Chandra WCS. But for this demo we can fix the problem by just shifting the IXPE data set. I found using DS9 that CXO and IXPE are offset by 10.4 pixels in the horizontal direction and 1.3 pixels in the vertical. So we recenter at that position:" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ ">>> Using cached xVignetting object at /opt/homebrew/anaconda3/lib/python3.12/site-packages/ixpeobssim/caldb/ixpe/xrt/bcf/vign/ixpe_d1_obssim20240101_vign_v013.fits...\n", "509977 events were cut for being outside the region of interest.\n", "Data set 02006001 DU 1 had no exposure map loaded. Please load an exposure map if you are fitting to events in the vignetted portion.\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "datas = leakagelib.IXPEData.load_all_detectors_with_path(\"data\", \"02006001\")\n", "\n", "for data in datas:\n", " data.explicit_center(300 - 10.4, 300 - 1.3)\n", " data.retain(data.evt_energies > 2)\n", " data.retain(data.evt_energies < 8)\n", "\n", "settings = leakagelib.FitSettings(datas)\n", "settings.add_source(source, \"neb\")\n", "settings.fix_flux(\"neb\", 1)\n", "settings.set_initial_qu(\"neb\", (0, 0))\n", "settings.apply_circular_roi(60)\n", "\n", "fitter = leakagelib.Fitter(settings)\n", "fitter.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "That matches well. Now we need to add a source to represent the pulsar. Since the pulsar is at the origin, we can use the `Source.add_point_source` method." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "Data set 02006001 DU 1 had no exposure map loaded. Please load an exposure map if you are fitting to events in the vignetted portion.\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "settings.add_point_source(\"psr\")\n", "settings.set_initial_flux(\"psr\", 0.2)\n", "settings.set_initial_qu(\"psr\", (0, 0))\n", "\n", "fitter = leakagelib.Fitter(settings)\n", "fitter.plot();" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, we perform the fit" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "FitResult:\n", "\tq (neb) = 0.0805 +/- 0.0044\n", "\tu (neb) = -0.1945 +/- 0.0044\n", "\tq (psr) = -0.2596 +/- 0.0271\n", "\tu (psr) = 0.0173 +/- 0.0272\n", "\tf (psr) = 0.0973 +/- 0.0006\n", "\n", "Polarization:\n", "\tPD (neb): 0.2105 +/- 0.0044\n", "\tPA (neb): -33.7610 deg +/- 0.5994\n", "\tPD (psr): 0.2601 +/- 0.0271\n", "\tPA (psr): 88.0959 deg +/- 2.9948\n", "Likelihood 580849.3410922358, dof 2080089\n", "Optimization terminated successfully." ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ "result = fitter.fit()\n", "result" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The pulsar's phase-averaged polarization is insignificant, which has been found in other analyses. The nebula's very significant polarization is consistent with a magnetic field running diagonally from the upper left to lower right. More careful analyses have mapped this EVPA and found EVPA tangent to the torus, which is consistent with this result." ] } ], "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 }