{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Data products for O2 stochastic isotropic paper\n", "\n", "This notebook shows how to use the data products contained in DCC T1900058 to reproduce the figures in the paper \"A search for the isotropic stochastic background with Advanced LIGO's second observing run\"" ] }, { "cell_type": "code", "execution_count": 1, "metadata": {}, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.style\n", "import matplotlib as mpl\n", "inline_rc = dict(mpl.rcParams)\n", "from matplotlib import pyplot as plt" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Initialize plotting options" ] }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ "mpl.style.use('classic')\n", "plt.rc('text',usetex=True)\n", "plt.rc('font', family='serif')\n", "plt.rcParams.update({'font.size': 15})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Figure 1" ] }, { "cell_type": "code", "execution_count": 3, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "blue='#08519c'\n", "scale=1.5\n", "\n", "# Load data\n", "source = 'Figure_1_Cf_spectra_O2.dat'\n", "freqs,Ys,sigmas = np.loadtxt(source,unpack=True)\n", "\n", "xs = np.array([0.,1.,2.,3.,4.,5.,6.,7.])\n", "ys = np.power(xs,2.)\n", "ys[5]=0.\n", "\n", "# Initialize figure\n", "fig,ax = plt.subplots(figsize=(4*scale,3*scale),facecolor='white')\n", "ax.set_xlim([20.,100.])\n", "ax.set_ylim([-1.5e-5,1.5e-5])\n", "\n", "# Plot Data\n", "ax.plot(freqs,Ys,color=blue,zorder=-1,alpha=0.7,lw=0.4)\n", "\n", "# Plot error bars\n", "ax.plot(freqs,-sigmas,color='black',lw=0.25)\n", "ax.plot(freqs,sigmas,color='black',lw=0.25)\n", "\n", "ax.xaxis.grid(True,which='major',ls=':',color='grey')\n", "ax.yaxis.grid(True,which='major',ls=':',color='grey')\n", "ax.set_xlabel(r'$f \\,(\\mathrm{Hz})$',fontsize=12*scale)\n", "ax.set_ylabel(r'$\\hat C(f)$',fontsize=12*scale)\n", "ax.tick_params(labelsize=10*scale)\n", "ax.yaxis.offsetText.set_fontsize(10*scale)\n", "ax.ticklabel_format(axis='y', style='sci', scilimits=(-2, 2))\n", "ax.set_axisbelow(True)\n", "plt.tight_layout()\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Figure 2" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Load TVS posterior samples\n", "OmgT,aT = np.loadtxt(\\\n", " 'Figure_2_posterior.dat',\\\n", " unpack=True,usecols=(0,1))\n", "\n", "# Load contour data\n", "contour68_x,contour68_y = np.loadtxt('contourData_68.dat',unpack=True)\n", "contour95_x,contour95_y = np.loadtxt('contourData_95.dat',unpack=True)\n", "\n", "# colors\n", "lightBlue=(166./255.,206./255.,227./255.,0.8)\n", "darkBlue=(31./255.,120./255.,180./255.)\n", "lightGreen=(178./255.,223./255.,138./255.,0.8)\n", "darkGreen=(51./255.,160./255.,44./255.)\n", "lightRed=(251./255.,154./255.,153./255.,0.8)\n", "darkRed=(227./255.,26./255.,28./255.)\n", "\n", "# Initialize figure\n", "scale=1.5\n", "fig,ax = plt.subplots(figsize=(4*scale,3*scale),facecolor='white')\n", "\n", "# Create contour plot using external function\n", "# WARNING: This step takes some time (~20 min) to run\n", "# See make2DContour.py for more details regarding contour creation\n", "#make2DContour(ax,OmgT,aT,-13.,-5.,-8.,8.,mirrorX=-13.,mirrorY=-8.,hexgridsize=75)\n", "\n", "# Hexbin data\n", "ax.hexbin(OmgT,aT,cmap='Blues',gridsize=75,linewidths=(0,))\n", "\n", "ax.plot(contour68_x,contour68_y,color='black',lw=1.2)\n", "ax.plot(contour95_x,contour95_y,color='darkblue',lw=1.2)\n", "\n", "# Format gridlines\n", "ax.xaxis.grid(True,which='major')\n", "ax.yaxis.grid(True,which='major')\n", "\n", "# Override tick labels to display powers of 10 (e.g. 10^{-13} instead of -13)\n", "labels=[r\"$10^{{{0}}}$\".format(x) for x in range(-13,-4,2)]\n", "locs=range(-13,-4,2)\n", "ax.set_xticks(locs)\n", "ax.set_xticklabels(labels)\n", "ax.tick_params(labelsize=10*scale)\n", "\n", "# Axes labels\n", "ax.set_xlabel(r'$\\Omega_\\mathrm{ref}$',fontsize=12*scale)\n", "ax.set_ylabel(r'$\\alpha$',fontsize=12*scale)\n", "\n", "# Maually place contour labels\n", "### Note that in Fig. 2 the labels were auto-generated by\n", "### matplotlib's ax.contour() function\n", "ax.text(-9.5,3.,'68\\%',fontsize=10*scale,rotation=-10)\n", "ax.text(-7.,-0.5,'95\\%',fontsize=10*scale,rotation=-80,color='darkblue')\n", "\n", "# Save\n", "plt.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Figure 3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### First, read in the data for the PI curves." ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [], "source": [ "#####\n", "# PI Curves\n", "#####\n", "\n", "# file names\n", "O1_PI_file='Figure_3_PICurve_O1.dat'\n", "O1_O2_PI_file='Figures_3_and_4_PICurve_O1O2.dat'\n", "Design_PI_file='Figures_3_and_4_PICurve_Design.dat'\n", "\n", "# load in data\n", "freqsO1,sigmaO1,PIO1=np.loadtxt(O1_PI_file,unpack=True,skiprows=4)\n", "freqsO1O2,sigmaO1O2,PIO1O2=np.loadtxt(O1_O2_PI_file,unpack=True,skiprows=4)\n", "freqsDesign,PIDesign=np.loadtxt(Design_PI_file,unpack=True)\n", "\n", "# convert from 1 sigma to desired level of sensitivity\n", "nsigmas=2\n", "PIO1=nsigmas*PIO1\n", "PIO1O2=nsigmas*PIO1O2\n", "PIDesign=nsigmas*PIDesign " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Next, read in the CBC models and normalize them to the observed local rates." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [], "source": [ "freqsCBC,omegaBBH_Rate1,omegaBNS_Rate1,omegaNSBH_Rate1=np.loadtxt('Figure_3_CBC_models_Rate_1.dat',unpack=True)\n", "\n", "# define BBH rates (from arxiv:1811.12907, using GstLAL)\n", "bbh_power_rate_med = 56 #per Gpc^3 per yr\n", "bbh_power_rate_max = 56+44 #per Gpc^3 per yr\n", "bbh_power_rate_min = 56-27 #per Gpc^3 per yr\n", "\n", "# define BNS rates (from arxiv:1811.12907, using GstLAL)\n", "bns_rate_med=920 # Gpc^{-3} yr^{-1}\n", "bns_rate_max=920+2220 # Gpc^{-3} yr^{-1}\n", "bns_rate_min=920-790 # Gpc^{-3} yr^{-1}\n", "\n", "# NSBH rate (MNS=1.4, MBBH=10, GstLAL isotropic spin)\n", "rate_NSBH=475 # Gpc^{-3} yr^{-1}\n", "\n", "# define max, median, min for BBH, BNS, and Total (=BBH+BNS)\n", "OmegaBBH_max = bbh_power_rate_max * omegaBBH_Rate1\n", "OmegaBBH_med = bbh_power_rate_med * omegaBBH_Rate1\n", "OmegaBBH_min = bbh_power_rate_min * omegaBBH_Rate1\n", "\n", "OmegaBNS_max = bns_rate_max * omegaBNS_Rate1\n", "OmegaBNS_med = bns_rate_med * omegaBNS_Rate1\n", "OmegaBNS_min = bns_rate_min * omegaBNS_Rate1\n", "\n", "OmegaTotal_max = OmegaBBH_max + OmegaBNS_max\n", "OmegaTotal_med = OmegaBBH_med + OmegaBNS_med\n", "OmegaTotal_min = OmegaBBH_min + OmegaBNS_min\n", "\n", "# define upper limit for NSBH\n", "NSBH=rate_NSBH*omegaNSBH_Rate1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Set plotting options." ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [], "source": [ "import warnings\n", "warnings.filterwarnings('ignore')\n", "mpl.rcParams.update(inline_rc)\n", "plt.rc('text',usetex=True)\n", "plt.rc('font', family='serif')\n", "plt.rcParams.update({'font.size': 15})" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Finally, make the plot." ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# plot PI curves\n", "plt.loglog(freqsO1,PIO1,label='O1 (%u$\\sigma$)'%nsigmas)\n", "plt.loglog(freqsO1O2,PIO1O2,label='O1+O2 (%u$\\sigma$)'%nsigmas)\n", "plt.loglog(freqsDesign,PIDesign,label='Design (%u$\\sigma$)'%nsigmas,linestyle='--')\n", "\n", "# plot CBC model curves\n", "\n", "# NSBH\n", "Omega_with_NSBH=NSBH+OmegaTotal_max \n", "plt.loglog(freqsCBC,Omega_with_NSBH,':',label=r'$\\Omega_{\\rm BBH+BNS+NSBH}$')\n", "\n", "# BBH+BNS\n", "plt.loglog(freqsCBC,OmegaTotal_med,label=r'$\\Omega_{\\rm BBH+BNS}$ (Median)')\n", "\n", "# Poisson Error\n", "plt.fill_between(freqsCBC,OmegaTotal_min,OmegaTotal_max,color=(0.9, 0.9, 0.9),label=r'$\\Omega_{\\rm BBH+BNS}$ (Poisson)')\n", "\n", "# plot parameters\n", "plt.grid()\n", "plt.xlim(10,1000)\n", "plt.ylim(1e-10,1e-5)\n", "plt.xlabel('$f$ (Hz)')\n", "plt.ylabel(r'$\\Omega_{\\rm GW}$')\n", "plt.legend(loc=1,fontsize=10)\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Figure 4" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Read in $\\Omega_{\\rm mag}$ assuming O1 and O2 coupling functions, and make power law fits." ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "# Load in magnetic data\n", "\n", "magFreqs,OmegaMag_1,OmegaMag_2=np.loadtxt('Figure_4_OmegaMag.dat',unpack=True)\n", "\n", "###########################\n", "# Make power-law fit to Omega_mag computed with O1 Transfer Function\n", "###########################\n", "\n", "# Make a power law fit to Omega_mag from 5 to 300 Hz\n", "cut=(magFreqs>=5)*(magFreqs<=300)\n", "cut = cut*(OmegaMag_1!=0) # do not include notched bins in the power law fit\n", "# run polyfit to get coefficients\n", "Budget_Coeffs_1=np.polyfit(np.log(magFreqs[cut]),np.log(OmegaMag_1[cut]),1)\n", "# extract coefficients\n", "ampl=np.exp(Budget_Coeffs_1[1])\n", "alpha=Budget_Coeffs_1[0]\n", "# compute power law fit for magFreqs\n", "Budget_Fit_1 = ampl * magFreqs**alpha\n", "\n", "###########################\n", "# Make power-law fit to Omega_mag computed with O2 Transfer Function\n", "###########################\n", "# Make a power law fit to Omega_mag from 5 to 300 Hz\n", "cut=(magFreqs>=5)*(magFreqs<=300)\n", "cut = cut*(OmegaMag_2!=0) # do not include notched bins in the power law fit\n", "# run polyfit to get coefficients\n", "Budget_Coeffs_2=np.polyfit(np.log(magFreqs[cut]),np.log(OmegaMag_2[cut]),1)\n", "# extract coefficients\n", "ampl=np.exp(Budget_Coeffs_2[1])\n", "alpha=Budget_Coeffs_2[0]\n", "# compute power law fit for magFreqs\n", "Budget_Fit_2 = ampl * magFreqs**alpha" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Make the plot." ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "#mpl.style.use('default')\n", "\n", "# O1+O2 PI curve\n", "plt.loglog(freqsO1O2,PIO1O2,color='black',label='O1+O2 PI (%u$\\sigma$)'%nsigmas)\n", "\n", "# Design PI curve\n", "plt.loglog(freqsDesign,PIDesign,color='green',linestyle='--',label='Design PI (%u$\\sigma$)'%nsigmas)\n", "\n", "\n", "# Dots for estimate from O1 TF\n", "plt.loglog(magFreqs,OmegaMag_1,'x',color=(0.8,0.8,1),markersize=3,label=r'$\\Omega_{\\rm mag}$ (O1 TF)')\n", "\n", "# Power law fit using O1 transfer function\n", "plt.loglog(magFreqs,Budget_Fit_1,color='purple',linestyle=':',label=r'$\\Omega_{\\rm mag}$ Fit (O1 TF)')\n", "\n", "# Crosses for estimate from O2 TF\n", "plt.loglog(magFreqs,OmegaMag_2,'o',color=(0.5,0.5,1),markersize=3,label=r'$\\Omega_{\\rm mag}$ (O2 TF)')\n", "\n", "# Power law fit using O2 transfer function\n", "plt.loglog(magFreqs,Budget_Fit_2,color='blue',linestyle='-.',label=r'$\\Omega_{\\rm mag}$ Fit (O2 TF)')\n", "\n", "# Plotting options\n", "# Axis labels\n", "plt.xlabel(r'$f$ (Hz)')\n", "plt.ylabel(r'$\\Omega_{\\rm GW}$')\n", "# Axis limits\n", "plt.xlim(5,300)\n", "plt.ylim(1e-19,1e-4)\n", "# Grid\n", "plt.grid()\n", "# Legend\n", "plt.legend(loc=4,fontsize=9,ncol=3)\n", "\n", "plt.show()" ] }, { "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": "3.7.1" } }, "nbformat": 4, "nbformat_minor": 2 }