{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Point Source Injector" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "
\n", "\n", "The source injector can produce mock simulated data independent of the MEGAlib software.\n", "\n", "Standard data simulation requires the users to install and use MEGAlib to convolve the source model with the detector effects to generate data. The source injector utilizes the response generated by intensive simulation, which contains the statistical detector effects. With the source injector, you can convolve response, source model, and orientation to gain the mock data quickly.\n", "\n", "The advantages of using the source injector include:\n", "\n", "- No need to install and use MEGAlib\n", "- Get the data much faster than the standard simulation pipeline\n", "- The generated data are in the format that can be used for spectral fitting, localization, imaging, etc.\n", "\n", "The disadvantages are:\n", "\n", "- The data are binned based on the binning of the response, which means that you lost the unbinned event distribution as you will get from the MEGAlib pipeline.\n", "- If the response is coarse, the data you generated might not be precise.\n" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%%capture\n", "import os\n", "from pathlib import Path\n", "\n", "import numpy as np\n", "import matplotlib.pyplot as plt\n", "from scipy.optimize import curve_fit\n", "\n", "import astropy.units as u\n", "from astropy.coordinates import SkyCoord\n", "\n", "from astromodels.core.polarization import LinearPolarization\n", "\n", "from threeML import Band, Model, PointSource\n", "\n", "from histpy import Histogram\n", "from mhealpy import HealpixMap\n", "\n", "from cosipy import SpacecraftHistory, SourceInjector\n", "from cosipy.polarization.conventions import IAUPolarizationConvention\n", "from cosipy.polarization.polarization_angle import PolarizationAngle\n", "from cosipy.threeml.custom_functions import SpecFromDat\n", "from cosipy.util import fetch_wasabi_file\n", "\n", "%matplotlib inline\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "data_dir = Path(\"\") # Current directory by default. Modify if you want a different path" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Get the data\n", "\n", "The data can be downloaded by running the cells below. Each respective cell also gives the wasabi file path and file size.\n" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "%%capture\n", "response_path = data_dir/\"SMEXv12.Continuum.HEALPixO3_10bins_log_flat.binnedimaging.imagingresponse.h5\"\n", "\n", "# download response file ~839.62 MB\n", "fetch_wasabi_file(\"COSI-SMEX/develop/Data/Responses/SMEXv12.Continuum.HEALPixO3_10bins_log_flat.binnedimaging.imagingresponse.h5\", response_path, checksum = 'eb72400a1279325e9404110f909c7785')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "%%capture\n", "orientation_path = data_dir/\"20280301_3_month_with_orbital_info.fits\"\n", "\n", "# download orientation file ~596.06 MB\n", "fetch_wasabi_file(\"COSI-SMEX/develop/Data/Orientation/20280301_3_month_with_orbital_info.fits\", orientation_path, checksum = '5e69bc1d55fab9390f90635690f62896')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Inject a source response\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Method 1 : Define the point source\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this method, we are setting up an analytical function (eg: a power law model) to simulate the spectral characteristics of a point source:\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
15:50:06 WARNING   The current value of the parameter beta (-2.0) was above the new maximum -2.15. parameter.py:810\n",
       "
\n" ], "text/plain": [ "\u001b[38;5;46m15:50:06\u001b[0m\u001b[38;5;46m \u001b[0m\u001b[38;5;134mWARNING \u001b[0m \u001b[1;38;5;251m The current value of the parameter beta \u001b[0m\u001b[1;38;5;251m(\u001b[0m\u001b[1;37m-2.0\u001b[0m\u001b[1;38;5;251m)\u001b[0m\u001b[1;38;5;251m was above the new maximum \u001b[0m\u001b[1;37m-2.15\u001b[0m\u001b[1;38;5;251m.\u001b[0m\u001b[1;38;5;251m \u001b[0m\u001b]8;id=751646;file:///Users/imartin5/software/miniforge3/envs/cosipy/lib/python3.12/site-packages/astromodels/core/parameter.py\u001b\\\u001b[2mparameter.py\u001b[0m\u001b]8;;\u001b\\\u001b[2m:\u001b[0m\u001b]8;id=49839;file:///Users/imartin5/software/miniforge3/envs/cosipy/lib/python3.12/site-packages/astromodels/core/parameter.py#810\u001b\\\u001b[2m810\u001b[0m\u001b]8;;\u001b\\\n" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Defind the Crab spectrum\n", "\n", "alpha_inj = -1.99\n", "beta_inj = -2.32\n", "E0_inj = 531.0 * (alpha_inj - beta_inj) * u.keV\n", "xp_inj = E0_inj * (alpha_inj + 2) / (alpha_inj - beta_inj)\n", "piv_inj = 100.0 * u.keV\n", "K_inj = 7.56e-4 / u.cm / u.cm / u.s / u.keV\n", "\n", "spectrum_inj = Band()\n", "\n", "spectrum_inj.alpha.min_value = -2.14\n", "spectrum_inj.alpha.max_value = 3.0\n", "spectrum_inj.beta.min_value = -5.0\n", "spectrum_inj.beta.max_value = -2.15\n", "spectrum_inj.xp.min_value = 1.0\n", "\n", "spectrum_inj.alpha.value = alpha_inj\n", "spectrum_inj.beta.value = beta_inj\n", "spectrum_inj.xp.value = xp_inj.value\n", "spectrum_inj.K.value = K_inj.value\n", "spectrum_inj.piv.value = piv_inj.value\n", "\n", "spectrum_inj.xp.unit = xp_inj.unit\n", "spectrum_inj.K.unit = K_inj.unit\n", "spectrum_inj.piv.unit = piv_inj.unit" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "# Define the coordinate of the point source\n", "source_coord = SkyCoord(l=184.5551, b=-05.7877, frame=\"galactic\", unit=\"deg\")\n", "\n", "# define the Crab point source\n", "point_source = PointSource(\n", " \"Crab\", l=source_coord.l.deg, b=source_coord.b.deg, spectral_shape=spectrum_inj\n", ")\n", "\n", "# define the model. The model can contain multiple point sources.\n", "model = Model(point_source)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Read orientation file\n" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "# Read the 3-month orientation\n", "# It is the pointing of the spacecraft during the the mock simlulation\n", "ori = SpacecraftHistory.open(orientation_path)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Get the expected counts and save to a data file\n" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [], "source": [ "# Define an injector by the response\n", "injector = SourceInjector(response_path=response_path)" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 2.78 s, sys: 146 ms, total: 2.92 s\n", "Wall time: 2.92 s\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%time\n", "\n", "file_path = \"Crab_model_injected.h5\"\n", "\n", "# Check if the file exists and remove it if it does\n", "if os.path.exists(file_path):\n", " os.remove(file_path)\n", "\n", "# Get the data of the injected source\n", "model_injected = injector.inject_model(model = model, orientation = ori, make_spectrum_plot = True, data_save_path = file_path, earth_occ=True\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Compare with Simulation\n" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [], "source": [ "%%capture\n", "# download simulated data\n", "simulated_data_dir = data_dir/\"crab_3months_unbinned_data.hdf5\"\n", "\n", "# download orientation file ~89.50 MB\n", "if not simulated_data_dir.exists():\n", " fetch_wasabi_file(\"COSI-SMEX/cosipy_tutorials/source_injector/crab_3months_unbinned_data.hdf5\", simulated_data_dir, checksum = '787f17ee7c23e5b94fb77cc52a117422')" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Simulated and injected Crab')" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "simulated = Histogram.open(simulated_data_dir)\n", "injected = Histogram.open(\"Crab_model_injected.h5\")\n", "\n", "ax, plot = simulated.project(\"Em\").draw(label=\"Simulated Crab\", color=\"orange\")\n", "injected.project(\"Em\").draw(\n", " ax, label=\"Injected Crab\", color=\"purple\", linestyle=\"dotted\"\n", ")\n", "\n", "\n", "ax.legend()\n", "ax.set_xscale(\"log\")\n", "ax.set_yscale(\"log\")\n", "ax.set_ylabel(\"Counts\")\n", "ax.set_title(\"Simulated and injected Crab\")\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Method 2: Read the spectrum from a file\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "In this method, we're loading spectral data from a file (crab_spec.dat) and visualizing it:\n" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "# Load data from the text file, skipping the index column\n", "dataFlux = np.genfromtxt(\n", " \"crab_spec.dat\", comments=\"#\", usecols=(2), skip_footer=1, skip_header=5\n", ")\n", "dataEn = np.genfromtxt(\n", " \"crab_spec.dat\", comments=\"#\", usecols=(1), skip_footer=1, skip_header=5\n", ")" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot the data\n", "plt.plot(dataEn, dataFlux, marker=\"o\", linestyle=\"-\")\n", "plt.xscale(\"log\")\n", "plt.yscale(\"log\")\n", "plt.xlabel(\"energies (keV)\")\n", "# plt.ylabel(\"Flux (keV cm^-2 s^-1)\")\n", "plt.ylabel(\"Flux_ph (ph/cm^2/s/keV)\")\n", "plt.title(\"Energy Flux Data\")\n", "plt.grid(True)\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We use a custom class `SpecFromDat` to define a spectrum from data loaded from a CSV file `crab_spec.dat`\n" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "spectrum = SpecFromDat(K=1/18, dat=\"crab_spec.dat\")\n", "\n", "# Define the coordinate of the point source\n", "source_coord = SkyCoord(l=184.5551, b=-05.7877, frame=\"galactic\", unit=\"deg\")\n", "\n", "# define the Crab point source\n", "point_source = PointSource(\n", " \"Crab\", l=source_coord.l.deg, b=source_coord.b.deg, spectral_shape=spectrum\n", ")\n", "\n", "# define the model. One model can contain multiple point sources.\n", "model = Model(point_source)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Read orientation file\n" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [], "source": [ "# Read the 3-month orientation\n", "# It is the pointing of the spacecraft during the the mock simlulation\n", "ori = SpacecraftHistory.open(orientation_path)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Get the expected counts and save to a data file\n" ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [], "source": [ "# Define an injector by the response\n", "injector = SourceInjector(response_path=response_path)" ] }, { "cell_type": "code", "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 2.83 s, sys: 200 ms, total: 3.03 s\n", "Wall time: 3.03 s\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%time\n", "\n", "file_path = \"Crab_piecewise_injected.h5\"\n", "\n", "# Check if the file exists and remove it if it does\n", "if os.path.exists(file_path):\n", " os.remove(file_path)\n", "\n", "# Get the data of the injected source\n", "model_injected = injector.inject_model(model = model, orientation = ori, make_spectrum_plot = True, data_save_path = file_path,earth_occ=True\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Compare with Simulation\n" ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "%%capture\n", "# download simulated data\n", "simulated_data_dir = data_dir/\"crab_3months_unbinned_data.hdf5\"\n", "\n", "# download orientation file ~89.50 MB\n", "fetch_wasabi_file(\"COSI-SMEX/cosipy_tutorials/source_injector/crab_3months_unbinned_data.hdf5\", simulated_data_dir, checksum = '787f17ee7c23e5b94fb77cc52a117422')" ] }, { "cell_type": "code", "execution_count": 19, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Simulated and injected Crab')" ] }, "execution_count": 19, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "simulated = Histogram.open(simulated_data_dir)\n", "injected = Histogram.open(\"Crab_piecewise_injected.h5\")\n", "\n", "ax, plot = simulated.project(\"Em\").draw(label=\"Simulated Crab\", color=\"orange\")\n", "injected.project(\"Em\").draw(\n", " ax, label=\"Injected Crab\", color=\"purple\", linestyle=\"dotted\"\n", ")\n", "\n", "ax.legend()\n", "ax.set_xscale(\"log\")\n", "ax.set_yscale(\"log\")\n", "ax.set_ylabel(\"Counts\")\n", "ax.set_title(\"Simulated and injected Crab\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### (Optional) Compare simulated data with existing models\n" ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Comparison b/w model and piecewise injected counts')" ] }, "execution_count": 20, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model_injected = Histogram.open(\"Crab_model_injected.h5\").project(\"Em\")\n", "piecewise_injected = Histogram.open(\"Crab_piecewise_injected.h5\").project(\"Em\")\n", "\n", "ax, plot = model_injected.draw(label=\"injected with model\", color=\"green\")\n", "\n", "piecewise_injected.draw(\n", " ax, label=\"injected with piesewise function\", color=\"orange\", linestyle=\"dashed\"\n", ")\n", "\n", "\n", "ax.set_xscale(\"log\")\n", "ax.set_yscale(\"log\")\n", "ax.legend()\n", "ax.set_ylabel(\"Counts\")\n", "ax.set_title(\"Comparison b/w model and piecewise injected counts\")" ] }, { "cell_type": "code", "execution_count": 21, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Comparison b/w model and piecewise injected counts')" ] }, "execution_count": 21, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "model_injected = Histogram.open(\"Crab_model_injected.h5\").project(\"Phi\")\n", "piecewise_injected = Histogram.open(\"Crab_piecewise_injected.h5\").project(\"Phi\")\n", "\n", "ax, plot = model_injected.draw(label=\"injected with model\", color=\"green\")\n", "\n", "piecewise_injected.draw(\n", " ax, label=\"injected with piesewise function\", color=\"orange\", linestyle=\"dashed\"\n", ")\n", "\n", "ax.legend()\n", "ax.set_ylabel(\"Counts\")\n", "ax.set_title(\"Comparison b/w model and piecewise injected counts\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Plot PsiChi Sky Map" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total sky integral (counts × sr): 112435.11\n", "Plotting PsiChi map in Galactic coordinates\n" ] }, { "data": { "text/plain": [ "(, )" ] }, "execution_count": 22, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Load PsiChi histogram (Compton data space sky map)\n", "h_psichi = Histogram.open(\"Crab_piecewise_injected.h5\").project(\"PsiChi\")\n", "\n", "# Healpix map from histogram contents (stored in Galactic coordinates)\n", "skymap = HealpixMap(\n", " nside=h_psichi.axes[\"PsiChi\"].nside,\n", " scheme=\"ring\",\n", " dtype=float,\n", " coordsys=\"G\",\n", ")\n", "skymap[:] = np.asarray(h_psichi.contents, dtype=float)\n", "\n", "# Sky integral (counts × sr)\n", "total = np.sum(skymap) * skymap.pixarea().value\n", "print(f\"Total sky integral (counts × sr): {total:.2f}\")\n", "\n", "# Plot in Galactic coordinates\n", "print(\"Plotting PsiChi map in Galactic coordinates\")\n", "skymap.plot(ax_kw={\"coord\": \"G\"})" ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Plotting PsiChi map in ICRS coordinates\n" ] }, { "data": { "text/plain": [ "(, )" ] }, "execution_count": 23, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot in ICRS / Equatorial coordinates\n", "print(\"Plotting PsiChi map in ICRS coordinates\")\n", "skymap.plot(ax_kw={\"coord\": \"C\"})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Inject Polarization\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Get the latest polarization response\n" ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "%%capture\n", "response_path = data_dir/\"ResponseContinuum.o3.pol.e200_10000.b4.p12.relx.s10396905069491.m420.filtered.binnedpolarization.11D.h5\"\n", "\n", "# download response file ~839.62 MB\n", "fetch_wasabi_file(\"COSI-SMEX/develop/Data/Responses/ResponseContinuum.o3.pol.e200_10000.b4.p12.relx.s10396905069491.m420.filtered.binnedpolarization.11D.h5\", response_path)" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "# Define an injector by the response\n", "injector = SourceInjector(\n", " response_path=response_path,\n", " response_frame=\"spacecraftframe\",\n", " pa_convention=\"RelativeX\", # or \"RelativeY\" / \"RelativeZ\"\n", ")" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [], "source": [ "# Define a linearly polarized source\n", "# angle: polarization angle (deg), degree: polarization fraction (%)\n", "pol = LinearPolarization(angle=45, degree=30)" ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "CPU times: user 4.18 s, sys: 457 ms, total: 4.64 s\n", "Wall time: 4.63 s\n" ] }, { "name": "stderr", "output_type": "stream", "text": [ "\n", "WARNING IntegrationWarning: The maximum number of subdivisions (50) has been achieved.\n", " If increasing the limit yields no improvement it is advised to analyze \n", " the integrand in order to determine the difficulties. If the position of a \n", " local difficulty can be determined (singularity, discontinuity) one will \n", " probably gain from splitting up the interval and calling the integrator \n", " on the subranges. Perhaps a special-purpose integrator should be used.\n", "\n" ] }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "%%time\n", "\n", "file_path = \"Crab_piecewise_injected_pol.h5\"\n", "\n", "# Check if the file exists and remove it if it does\n", "if os.path.exists(file_path):\n", " os.remove(file_path)\n", "\n", "# Get the data of the injected source (now including polarization)\n", "model_injected = injector.inject_model(\n", " model=model,\n", " orientation=ori,\n", " polarization=pol,\n", " make_spectrum_plot=True,\n", " data_save_path=file_path,\n", " earth_occ=True\n", ")" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0.5, 1.0, 'Injected Crab')" ] }, "execution_count": 28, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "injected = Histogram.open(\"Crab_piecewise_injected_pol.h5\")\n", "\n", "ax, plot = injected.project(\"Phi\").draw(label=\"Injected Crab\", color=\"purple\")\n", "\n", "ax.legend()\n", "ax.set_ylabel(\"Counts\")\n", "ax.set_title(\"Injected Crab\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Plot PsiChi Sky Map" ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Total sky integral (counts × sr): 61576.48\n", "Plotting PsiChi map in Galactic coordinates\n" ] }, { "data": { "text/plain": [ "(, )" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Load PsiChi histogram (Compton data space sky map)\n", "h_psichi = Histogram.open(\"Crab_piecewise_injected_pol.h5\").project(\"PsiChi\")\n", "\n", "# Healpix map from histogram contents (stored in Galactic coordinates)\n", "skymap = HealpixMap(\n", " nside=h_psichi.axes[\"PsiChi\"].nside,\n", " scheme=\"ring\",\n", " dtype=float,\n", " coordsys=\"G\",\n", ")\n", "skymap[:] = np.asarray(h_psichi.contents, dtype=float)\n", "\n", "# Sky integral (counts × sr)\n", "total = np.sum(skymap) * skymap.pixarea().value\n", "print(f\"Total sky integral (counts × sr): {total:.2f}\")\n", "\n", "# Plot in Galactic coordinates\n", "print(\"Plotting PsiChi map in Galactic coordinates\")\n", "skymap.plot(ax_kw={\"coord\": \"G\"})" ] }, { "cell_type": "code", "execution_count": 30, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Plotting PsiChi map in ICRS coordinates\n" ] }, { "data": { "text/plain": [ "(, )" ] }, "execution_count": 30, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Plot in ICRS / Equatorial coordinates\n", "print(\"Plotting PsiChi map in ICRS coordinates\")\n", "skymap.plot(ax_kw={\"coord\": \"C\"})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "#### Plot Azimuthal Scattering Angle Distribution (ASAD)\n" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "PsiChi pixels: 768, total counts (PsiChi): 3763277.00\n" ] } ], "source": [ "# Inputs\n", "injected_path = \"Crab_piecewise_injected_pol.h5\"\n", "\n", "# Crab (Galactic) -> ICRS (required by PolarizationAngle)\n", "source_icrs = SkyCoord(\n", " l=184.5551, b=-5.7877, frame=\"galactic\", unit=\"deg\"\n", ").transform_to(\"icrs\")\n", "\n", "convention = IAUPolarizationConvention()\n", "\n", "# ASAD binning\n", "nbins = 36\n", "asad_edges = np.linspace(-np.pi, np.pi, nbins + 1)\n", "asad_centers = 0.5 * (asad_edges[:-1] + asad_edges[1:])\n", "asad_centers_deg = np.rad2deg(asad_centers)\n", "\n", "# Load injected histogram\n", "data = Histogram.open(injected_path)\n", "\n", "# Scattering directions (PsiChi pixels) + weights (counts per pixel)\n", "psichi_axis = data.axes[\"PsiChi\"]\n", "pix_idx = np.arange(psichi_axis.nbins)\n", "\n", "scattering_dirs_icrs = psichi_axis.pix2skycoord(pix_idx).transform_to(\"icrs\")\n", "weights = np.asarray(data.project(\"PsiChi\").contents, dtype=float)\n", "\n", "print(f\"PsiChi pixels: {psichi_axis.nbins}, total counts (PsiChi): {weights.sum():.2f}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We build the azimuthal scattering angle distribution (ASAD), fit it with a sinusoid, and finally plot the result." ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "a=1.03e+05±2.34e+03, b=6.74e+03±3.28e+03, c=66.81±14.17 deg\n", "mu=0.0656±0.0320\n" ] } ], "source": [ "def asad_sinusoid(x, a, b, c):\n", " return a - b * np.cos(2.0 * (x - c))\n", "\n", "\n", "def fit_asad(\n", " x, y, sigma=None, p0=None, bounds=((0.0, 0.0, -np.pi), (np.inf, np.inf, np.pi))\n", "):\n", " popt, pcov = curve_fit(asad_sinusoid, x, y, p0=p0, bounds=bounds, sigma=sigma)\n", " return popt, np.sqrt(np.diag(pcov))\n", "\n", "\n", "def calculate_mu(params, perr):\n", " a, b, _ = params\n", " da, db, _ = perr\n", " mu = b / a\n", " mu_err = np.sqrt((db / a) ** 2 + ((b * da) / (a**2)) ** 2)\n", " return mu, mu_err\n", "\n", "\n", "# azimuthal scattering angles\n", "az = PolarizationAngle.from_scattering_direction(\n", " scattering_dirs_icrs, source_icrs, convention\n", ")\n", "chi = az.angle\n", "chi_rad = np.asarray(\n", " chi.to_value(u.rad) if hasattr(chi, \"to_value\") else chi, dtype=float\n", ")\n", "\n", "# ASAD\n", "asad_counts, _ = np.histogram(chi_rad, bins=asad_edges, weights=weights)\n", "asad_unc = np.sqrt(np.maximum(asad_counts, 1.0))\n", "\n", "centers = 0.5 * (asad_edges[1:] + asad_edges[:-1]) # rad\n", "centers_deg = np.rad2deg(centers)\n", "\n", "# fit\n", "p0 = [\n", " float(np.mean(asad_counts)),\n", " float(0.5 * (np.max(asad_counts) - np.min(asad_counts))),\n", " 0.0,\n", "]\n", "\n", "params, perr = fit_asad(centers, asad_counts, sigma=asad_unc, p0=p0)\n", "mu, mu_err = calculate_mu(params, perr)\n", "\n", "xfit = np.linspace(-np.pi, np.pi, 1000)\n", "yfit = asad_sinusoid(xfit, *params)\n", "\n", "# plot\n", "plt.figure(figsize=(6, 4))\n", "plt.step(centers_deg, asad_counts, where=\"mid\", color=\"purple\", label=\"ASAD\")\n", "plt.errorbar(\n", " centers_deg,\n", " asad_counts,\n", " yerr=asad_unc,\n", " fmt=\"none\",\n", " ecolor=\"purple\",\n", " elinewidth=1,\n", " alpha=0.7,\n", ")\n", "plt.plot(\n", " np.rad2deg(xfit), yfit, color=\"black\", lw=2, label=f\"Fit (mu={mu:.3f}±{mu_err:.3f})\"\n", ")\n", "plt.xlabel(\"Azimuthal Scattering Angle χ (deg)\")\n", "plt.ylabel(\"Counts\")\n", "plt.title(\"ASAD with sinusoid fit\")\n", "plt.grid(alpha=0.3)\n", "plt.legend()\n", "plt.show()\n", "\n", "a, b, c = params\n", "da, db, dc = perr\n", "print(\n", " f\"a={a:.3g}±{da:.3g}, b={b:.3g}±{db:.3g}, c={np.rad2deg(c):.2f}±{np.rad2deg(dc):.2f} deg\"\n", ")\n", "print(f\"mu={mu:.4f}±{mu_err:.4f}\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The sinusoidal modulation of the azimuthal scattering angle is a signature of polarization in the source." ] } ], "metadata": { "kernelspec": { "display_name": "Python [conda env:cosipy]", "language": "python", "name": "conda-env-cosipy-py" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.12.12" } }, "nbformat": 4, "nbformat_minor": 4 }