{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "In this notebook, we will analyze a NuSTAR data of the black hole X-ray binary H1743-322 with Stingray. Here we assume that the user has already reduced the data with the official pipeline and ran `barycorr` or other tools to refer the event times to the solar system barycenter." ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "%matplotlib inline\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "from stingray.powerspectrum import AveragedPowerspectrum, DynamicalPowerspectrum\n", "from stingray.crossspectrum import AveragedCrossspectrum\n", "from stingray.events import EventList\n", "from stingray.lightcurve import Lightcurve\n", "from stingray.gti import create_gti_from_condition" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Quicklook NuSTAR data with Stingray" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us load the data from two event lists corresponding to the two detectors onboard NuSTAR. `fmt='hea'` indicates event data produced by HEAsoft tools or compatible (e.g. XMM-Newton)." ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "evA = EventList.read('nustar_A_src.evt', 'hea')\n", "evB = EventList.read('nustar_B_src.evt', 'hea')\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the sake of a quicklook, let us join the two event lists" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [], "source": [ "all_ev = evA.join(evB)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us calculate the light curve and plot it. \n", "\n", "In red, we show the bad time intervals, when the satellite was not acquiring valid data due to Earth occultation, SAA passages, or other issues." ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "lc = all_ev.to_lc(100)\n" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(5000.0, 6500.0)" ] }, "execution_count": 5, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(12, 7))\n", "plt.plot(lc.time, lc.counts)\n", "bad_time_intervals = list(zip(lc.gti[:-1, 1], lc.gti[1:, 0]))\n", "for b in bad_time_intervals:\n", " plt.axvspan(b[0], b[1], color='r', alpha=0.5, zorder=10)\n", "\n", "plt.ylim([5000, 6500])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The light curve shows some long-term variability. Let us look at the colors. First of all, let us check that the events contain the energy of each photon. This should be the case, because NuSTAR data, together with XMM and NICER, are very well understood by Stingray and the calibration is done straight away." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "array([ 6.24 , 3.4 , 14.4800005, ..., 9.64 , 8.76 ,\n", " 4.2 ], dtype=float32)" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "all_ev.energy" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Other missions might have all_ev.energy set to None. In which case, one needs to use all_ev.pi and express the energy through the PI channels (See the HENDRICS documentation for more advanced calibration using the rmf files)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Also, we notice that some GTIs do not catch all bad intervals (see how the light curve drops close to GTI borders). We make a more aggressive GTI filtering now:" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "new_gti = create_gti_from_condition(lc.time, lc.counts > 5200)\n", "all_ev.gti = new_gti\n", "evA.gti = new_gti\n", "evB.gti = new_gti\n", "lc.gti = new_gti" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Counts')" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "hard = (all_ev.energy > 10) & (all_ev.energy < 79)\n", "soft = (all_ev.energy > 3) & (all_ev.energy < 5)\n", "\n", "hard_ev = all_ev.apply_mask(hard)\n", "soft_ev = all_ev.apply_mask(soft)\n", "\n", "hard_lc = hard_ev.to_lc(200)\n", "soft_lc = soft_ev.to_lc(200)\n", "\n", "hard_lc.apply_gtis()\n", "soft_lc.apply_gtis()\n", "\n", "hardness_ratio = hard_lc.counts / soft_lc.counts\n", "intensity = hard_lc.counts + soft_lc.counts\n", "\n", "plt.figure()\n", "plt.scatter(hardness_ratio, intensity)\n", "plt.xlabel(\"Hardness\")\n", "plt.ylabel(\"Counts\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Despite some light curve variability, the hardness ratio seems pretty stable during the observation." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Let us now look at the power density spectrum. Notice that we are using a sampling time of 0.001 s, meaning that we will investigate the power spectrum up to 500 Hz" ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "scrolled": true }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "238it [00:01, 177.96it/s]\n" ] } ], "source": [ "pds = AveragedPowerspectrum.from_events(all_ev, segment_size=256, dt=0.001, norm='leahy')" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Power (Leahy)')" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,7))\n", "plt.loglog(pds.freq, pds.power)\n", "plt.xlabel(\"Frequency\")\n", "plt.ylabel(\"Power (Leahy)\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Nice Quasi-periodic oscillations there! Note that at high frequencies the white noise level increases. This is not real variability, but an effect of **dead time**. The easiest way to get a flat periodogram at high frequencies is using the **cospectrum** instead of the power density spectrum. For this, we use separately the events from the two detectors. The cospectrum calculation is slightly slower than the power spectrum.\n", "\n", "For an accurate way to correct the power density spectrum from dead time, see the documentation of `stingray.deadtime` and the Frequency Amplitude Difference (FAD) correction." ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "238it [00:03, 78.00it/s]\n" ] } ], "source": [ "cs = AveragedCrossspectrum.from_events(evA, evB, segment_size=256, dt=0.001, norm='leahy')" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "[]" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,7))\n", "plt.semilogx(cs.freq, cs.power.real)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To improve the plot, we can rebin the data logarithmically" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "cs_reb = cs.rebin_log(0.02)" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Text(0, 0.5, 'Cospectrum Power')" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": "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", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,7))\n", "plt.loglog(cs_reb.freq, cs_reb.power.real)\n", "plt.ylim([1e-3, None])\n", "plt.xlabel(\"Frequency\")\n", "plt.ylabel(\"Cospectrum Power\")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For deeper analysis (e.g. time lags and other products), please refer to the relevant notebooks" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "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": "3.8.8" } }, "nbformat": 4, "nbformat_minor": 2 }