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np.logical_and(data_S['mask'],data_K['mask']), np.logical_and(data_S['mask'],data_K['mask']) -for d in [data_S, data_K]: - d['X'], d['Y'] = np.meshgrid(np.arange(d['I'].shape[1]), np.arange(d['I'].shape[0])) - d['xy_U'], d['xy_V'] = np.where(d['mask'],d['P']*np.cos(np.pi/2.+d['PA']*np.pi/180.), np.nan), np.where(d['mask'],d['P']*np.sin(np.pi/2.+d['PA']*np.pi/180.), np.nan) -#display both polarization maps to check consistencfig = plt.figure() -plt.rcParams.update({'font.size': 20}) -fig = plt.figure() +##### +###Compute histogram of measured polarization in cut +##### +bins=int(data_S['mask'].sum()/5) +bin_size=1./bins +mod_p = np.linspace(0.,1.,300) +for d in [data_S, data_K]: + d['hist'], d['bin_edges'] = np.histogram(d['P'][d['mask']],bins=bins,range=(0.,1.)) + d['binning'] = bin_centers(d['bin_edges']) + peak, bins_fwhm = d['binning'][np.argmax(d['hist'])], d['binning'][d['hist']>d['hist'].max()/2.] + fwhm = bins_fwhm[1]-bins_fwhm[0] + p0 = [d['hist'].max(), peak, fwhm] + try: + popt, pcov = curve_fit(gauss, d['binning'], d['hist'], p0=p0) + except RuntimeError: + popt = p0 + d['hist_chi2'] = np.sum((d['hist']-gauss(d['binning'],*popt))**2)/d['hist'].size + d['hist_popt'] = popt + +fig_p, ax_p = plt.subplots(num="Polarization degree histogram",figsize=(10,6),constrained_layout=True) +ax_p.errorbar(data_S['binning'],data_S['hist'],xerr=bin_size/2.,fmt='b.',ecolor='b',label='P through this pipeline') +ax_p.plot(mod_p,gauss(mod_p,*data_S['hist_popt']),'b--',label='mean = {1:.2f}, stdev = {2:.2f}'.format(*data_S['hist_popt'])) +ax_p.errorbar(data_K['binning'],data_K['hist'],xerr=bin_size/2.,fmt='r.',ecolor='r',label="P through Kishimoto's pipeline") +ax_p.plot(mod_p,gauss(mod_p,*data_K['hist_popt']),'r--',label='mean = {1:.2f}, stdev = {2:.2f}'.format(*data_K['hist_popt'])) +ax_p.set(xlabel="Polarization degree",ylabel="Counts",title="Histogram of polarization degree computed in the cut for both pipelines.") +ax_p.legend() +fig_p.savefig(path_join(root_dir_plot_S,"NGC1068_K_pol_deg.png"),bbox_inches="tight") + +##### +###Compute angular difference between the maps in cut +##### +dtheta = np.where(data_S['mask'], 0.5*np.arctan((np.sin(2*data_S['PA'])*np.cos(2*data_K['PA'])-np.cos(2*data_S['PA'])*np.cos(2*data_K['PA']))/(np.cos(2*data_S['PA'])*np.cos(2*data_K['PA'])+np.cos(2*data_S['PA'])*np.sin(2*data_K['PA']))),np.nan) +fig_pa = plt.figure(num="Polarization degree alignement") +ax_pa = fig_pa.add_subplot(111, projection=wcs) +cbar_ax_pa = fig_pa.add_axes([0.88, 0.12, 0.01, 0.75]) +ax_pa.set_title(r"Degree of alignement $\zeta$ of the polarization angles from the 2 pipelines in the cut") +im_pa = ax_pa.imshow(np.cos(2*dtheta), vmin=-1., vmax=1., origin='lower', cmap='bwr', label=r"$\zeta$ between this pipeline and Kishimoto's") +cbar_pa = plt.colorbar(im_pa, cax=cbar_ax_pa, label=r"$\zeta = \cos\left( 2 \cdot \delta\theta_P \right)$") +ax_pa.coords[0].set_axislabel('Right Ascension (J2000)') +ax_pa.coords[1].set_axislabel('Declination (J2000)') +fig_pa.savefig(path_join(root_dir_plot_S,"NGC1068_K_pol_ang.png"),bbox_inches="tight") + +##### +###display both polarization maps to check consistency +##### +plt.rcParams.update({'font.size': 10}) +fig = plt.figure(num="Polarization maps comparison") ax = fig.add_subplot(111, projection=wcs) fig.subplots_adjust(right=0.85) cbar_ax = fig.add_axes([0.88, 0.12, 0.01, 0.75]) +for d in [data_S, data_K]: + d['X'], d['Y'] = np.meshgrid(np.arange(d['I'].shape[1]), np.arange(d['I'].shape[0])) + d['xy_U'], d['xy_V'] = np.where(d['mask'],d['P']*np.cos(np.pi/2.+d['PA']), np.nan), np.where(d['mask'],d['P']*np.sin(np.pi/2.+d['PA']), np.nan) + im0 = ax.imshow(data_S['I']*convert_flux,norm=LogNorm(data_S['I'][data_S['I']>0].min()*convert_flux,data_S['I'][data_S['I']>0].max()*convert_flux),origin='lower',cmap='gray',label=r"$I_{STOKES}$ through this pipeline") -#im0 = ax.imshow(data_K['P']*100.,vmin=0.,vmax=100.,origin='lower',cmap='inferno',label=r"$P$ through Kishimoto's pipeline") -#im0 = ax.imshow(data_S['P']*100.,vmin=0.,vmax=100.,origin='lower',cmap='inferno',label=r"$P$ through this pipeline") -#im0 = ax.imshow(data_K['PA'],vmin=0.,vmax=360.,origin='lower',cmap='inferno',label=r"$\theta_P$ through Kishimoto's pipeline") -#im0 = ax.imshow(data_S['PA'],vmin=0.,vmax=360.,origin='lower',cmap='inferno',label=r"$\theta_P$ through this pipeline") quiv0 = ax.quiver(data_S['X'],data_S['Y'],data_S['xy_U'],data_S['xy_V'],units='xy',angles='uv',scale=0.5,scale_units='xy',pivot='mid',headwidth=0.,headlength=0.,headaxislength=0.,width=0.2,color='b',alpha=0.75, label="PA through this pipeline") quiv1 = ax.quiver(data_K['X'],data_K['Y'],data_K['xy_U'],data_K['xy_V'],units='xy',angles='uv',scale=0.5,scale_units='xy',pivot='mid',headwidth=0.,headlength=0.,headaxislength=0.,width=0.1,color='r',alpha=0.75, label="PA through Kishimoto's pipeline") @@ -88,10 +132,9 @@ ax.coords[1].set_ticklabel_position('l') #ax.axis('equal') cbar = plt.colorbar(im0, cax=cbar_ax, label=r"$F_{\lambda}$ [$ergs \cdot cm^{-2} \cdot s^{-1} \cdot \AA^{-1}$]") -#cbar = plt.colorbar(im0, cax=cbar_ax, label=r"$P$ [%]") -#cbar = plt.colorbar(im0, cax=cbar_ax, label=r"$\theta_P$ [°]") -plt.rcParams.update({'font.size': 15}) +plt.rcParams.update({'font.size': 8}) ax.legend(loc='upper right') +fig.savefig(path_join(root_dir_plot_S,"NGC1068_K_comparison.png"),bbox_inches="tight") #compute integrated polarization parameters on a specific cut for d in [data_S, data_K]: