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['x274020at_c0f.fits','x274020bt_c0f.fits','x274020ct_c0f.fits', # 'x274020dt_c0f.fits','x274020et_c0f.fits','x274020ft_c0f.fits', # 'x274020gt_c0f.fits','x274020ht_c0f.fits','x274020it_c0f.fits'] ##psf_file = 'NGC1068_f253m00.fits' #globals()['plots_folder'] = "../plots/NGC1068_x274020/" -globals()['data_folder'] = "../data/IC5063_x3nl030/" -globals()['infiles'] = ['x3nl0301r_c0f.fits','x3nl0302r_c0f.fits','x3nl0303r_c0f.fits'] -#psf_file = 'IC5063_f502m00.fits' -globals()['plots_folder'] = "../plots/IC5063_x3nl030/" +#globals()['data_folder'] = "../data/IC5063_x3nl030/" +#globals()['infiles'] = ['x3nl0301r_c0f.fits','x3nl0302r_c0f.fits','x3nl0303r_c0f.fits'] +##psf_file = 'IC5063_f502m00.fits' +#globals()['plots_folder'] = "../plots/IC5063_x3nl030/" #globals()['data_folder'] = "../data/NGC1068_x14w010/" #globals()['infiles'] = ['x14w0101t_c0f.fits','x14w0102t_c0f.fits','x14w0103t_c0f.fits', # 'x14w0104t_c0f.fits','x14w0105p_c0f.fits','x14w0106t_c0f.fits'] #globals()['plots_folder'] = "../plots/NGC1068_x14w010/" -#globals()['data_folder'] = "../data/3C405_x136060/" -#globals()['infiles'] = ['x1360601t_c0f.fits','x1360602t_c0f.fits','x1360603t_c0f.fits'] -#globals()['plots_folder'] = "../plots/3C405_x136060/" +globals()['data_folder'] = "../data/3C405_x136060/" +globals()['infiles'] = ['x1360601t_c0f.fits','x1360602t_c0f.fits','x1360603t_c0f.fits'] +globals()['plots_folder'] = "../plots/3C405_x136060/" #globals()['data_folder'] = "../data/CygnusA_x43w0/" #globals()['infiles'] = ['x43w0101r_c0f.fits', 'x43w0102r_c0f.fits', 'x43w0103r_c0f.fits', @@ -146,10 +145,10 @@ def main(): crop = False #Crop to desired ROI final_display = True # Polarization map output - figname = 'IC5063_FOC' #target/intrument name + figname = '3C405_FOC' #target/intrument name figtype = '_combine_FWHM020' #additionnal informations - SNRp_cut = 3. #P measurments with SNR>3 - SNRi_cut = 30. #I measurments with SNR>30, which implies an uncertainty in P of 4.7%. + SNRp_cut = 5. #P measurments with SNR>3 + SNRi_cut = 50. #I measurments with SNR>30, which implies an uncertainty in P of 4.7%. step_vec = 1 #plot all vectors in the array. if step_vec = 2, then every other vector will be plotted # if step_vec = 0 then all vectors are displayed at full length diff --git a/src/Figure_1.png b/src/Figure_1.png deleted file mode 100644 index aae1954..0000000 Binary files a/src/Figure_1.png and /dev/null differ diff --git a/src/Figure_2.png b/src/Figure_2.png deleted file mode 100644 index e1b6fc4..0000000 Binary files a/src/Figure_2.png and /dev/null differ diff --git a/src/comparison_Kishimoto.py b/src/comparison_Kishimoto.py index d458e0e..ac1b8e7 100755 --- a/src/comparison_Kishimoto.py +++ b/src/comparison_Kishimoto.py @@ -68,9 +68,9 @@ for d in [data_S, data_K]: d['I_dil'] = np.sum(d['I'][d['mask']]) d['sI_dil'] = np.sqrt(np.sum(d['sI'][d['mask']]**2)) d['Q_dil'] = np.sum(d['Q'][d['mask']]) - d['sQ_dil'] = np.sqrt(np.sum(d['sQ'][d['mask']])**2) + d['sQ_dil'] = np.sqrt(np.sum(d['sQ'][d['mask']]**2)) d['U_dil'] = np.sum(d['U'][d['mask']]) - d['sU_dil'] = np.sqrt(np.sum(d['sU'][d['mask']])**2) + d['sU_dil'] = np.sqrt(np.sum(d['sU'][d['mask']]**2)) d['P_dil'] = np.sqrt(d['Q_dil']**2+d['U_dil']**2)/d['I_dil'] d['sP_dil'] = np.sqrt((d['Q_dil']**2*d['sQ_dil']**2+d['U_dil']**2*d['sU_dil']**2)/(d['Q_dil']**2+d['U_dil']**2)+((d['Q_dil']/d['I_dil'])**2+(d['U_dil']/d['I_dil'])**2)*d['sI_dil']**2)/d['I_dil'] diff --git a/src/lib/plots.py b/src/lib/plots.py index e8113b0..17b9a6b 100755 --- a/src/lib/plots.py +++ b/src/lib/plots.py @@ -51,11 +51,11 @@ from astropy.io import fits def princ_angle(ang): """ - Return the principal angle in the -180° to 180° quadrant. + Return the principal angle in the 0° to 360° quadrant. """ - while ang <= -180.: + while ang <= 0.: ang += 360. - while ang > 180.: + while ang > 360.: ang -= 360. return ang @@ -1349,11 +1349,13 @@ class pol_map(object): def update_snri(val): self.SNRi = val self.pol_vector() + self.pol_int() self.fig.canvas.draw_idle() def update_snrp(val): self.SNRp = val self.pol_vector() + self.pol_int() self.fig.canvas.draw_idle() def reset_snr(event): @@ -1786,6 +1788,30 @@ class pol_map(object): P_reg_err = self.Stokes[0].header['P_int_err'] PA_reg = self.Stokes[0].header['PA_int'] PA_reg_err = self.Stokes[0].header['PA_int_err'] + + s_I = np.sqrt(self.IQU_cov[0,0]) + s_Q = np.sqrt(self.IQU_cov[1,1]) + s_U = np.sqrt(self.IQU_cov[2,2]) + s_IQ = self.IQU_cov[0,1] + s_IU = self.IQU_cov[0,2] + s_QU = self.IQU_cov[1,2] + + I_cut = self.I[self.cut].sum() + Q_cut = self.Q[self.cut].sum() + U_cut = self.U[self.cut].sum() + I_cut_err = np.sqrt(np.sum(s_I[self.cut]**2)) + Q_cut_err = np.sqrt(np.sum(s_Q[self.cut]**2)) + U_cut_err = np.sqrt(np.sum(s_U[self.cut]**2)) + IQ_cut_err = np.sqrt(np.sum(s_IQ[self.cut]**2)) + IU_cut_err = np.sqrt(np.sum(s_IU[self.cut]**2)) + QU_cut_err = np.sqrt(np.sum(s_QU[self.cut]**2)) + + P_cut = np.sqrt(Q_cut**2+U_cut**2)/I_cut + P_cut_err = np.sqrt((Q_cut**2*Q_cut_err**2 + U_cut**2*U_cut_err**2 + 2.*Q_cut*U_cut*QU_cut_err)/(Q_cut**2 + U_cut**2) + ((Q_cut/I_cut)**2 + (U_cut/I_cut)**2)*I_cut_err**2 - 2.*(Q_cut/I_cut)*IQ_cut_err - 2.*(U_cut/I_cut)*IU_cut_err)/I_cut + + PA_cut = princ_angle(np.degrees((1./2.)*np.arctan2(U_cut,Q_cut))) + PA_cut_err = princ_angle(np.degrees((1./(2.*(Q_cut**2+U_cut**2)))*np.sqrt(U_cut**2*Q_cut_err**2 + Q_cut**2*U_cut_err**2 - 2.*Q_cut*U_cut*QU_cut_err))) + else: n_pix = self.I[self.region].size s_I = np.sqrt(self.IQU_cov[0,0]) @@ -1808,9 +1834,26 @@ class pol_map(object): P_reg = np.sqrt(Q_reg**2+U_reg**2)/I_reg P_reg_err = np.sqrt((Q_reg**2*Q_reg_err**2 + U_reg**2*U_reg_err**2 + 2.*Q_reg*U_reg*QU_reg_err)/(Q_reg**2 + U_reg**2) + ((Q_reg/I_reg)**2 + (U_reg/I_reg)**2)*I_reg_err**2 - 2.*(Q_reg/I_reg)*IQ_reg_err - 2.*(U_reg/I_reg)*IU_reg_err)/I_reg - PA_reg = np.degrees((1./2.)*np.arctan2(U_reg,Q_reg)) + PA_reg = princ_angle(np.degrees((1./2.)*np.arctan2(U_reg,Q_reg))) PA_reg_err = princ_angle(np.degrees((1./(2.*(Q_reg**2+U_reg**2)))*np.sqrt(U_reg**2*Q_reg_err**2 + Q_reg**2*U_reg_err**2 - 2.*Q_reg*U_reg*QU_reg_err))) + new_cut = np.logical_and(self.region, self.cut) + I_cut = self.I[new_cut].sum() + Q_cut = self.Q[new_cut].sum() + U_cut = self.U[new_cut].sum() + I_cut_err = np.sqrt(np.sum(s_I[new_cut]**2)) + Q_cut_err = np.sqrt(np.sum(s_Q[new_cut]**2)) + U_cut_err = np.sqrt(np.sum(s_U[new_cut]**2)) + IQ_cut_err = np.sqrt(np.sum(s_IQ[new_cut]**2)) + IU_cut_err = np.sqrt(np.sum(s_IU[new_cut]**2)) + QU_cut_err = np.sqrt(np.sum(s_QU[new_cut]**2)) + + P_cut = np.sqrt(Q_cut**2+U_cut**2)/I_cut + P_cut_err = np.sqrt((Q_cut**2*Q_cut_err**2 + U_cut**2*U_cut_err**2 + 2.*Q_cut*U_cut*QU_cut_err)/(Q_cut**2 + U_cut**2) + ((Q_cut/I_cut)**2 + (U_cut/I_cut)**2)*I_cut_err**2 - 2.*(Q_cut/I_cut)*IQ_cut_err - 2.*(U_cut/I_cut)*IU_cut_err)/I_cut + + PA_cut = princ_angle(np.degrees((1./2.)*np.arctan2(U_cut,Q_cut))) + PA_cut_err = princ_angle(np.degrees((1./(2.*(Q_cut**2+U_cut**2)))*np.sqrt(U_cut**2*Q_cut_err**2 + Q_cut**2*U_cut_err**2 - 2.*Q_cut*U_cut*QU_cut_err))) + if hasattr(self, 'cont'): for coll in self.cont.collections: try: @@ -1824,13 +1867,13 @@ class pol_map(object): ax = self.ax if hasattr(self, 'an_int'): self.an_int.remove() - self.an_int = ax.annotate(r"$F_{{\lambda}}^{{int}}$({0:.0f} $\AA$) = {1} $ergs \cdot cm^{{-2}} \cdot s^{{-1}} \cdot \AA^{{-1}}$".format(self.pivot_wav,sci_not(I_reg*self.convert_flux,I_reg_err*self.convert_flux,2))+"\n"+r"$P^{{int}}$ = {0:.1f} $\pm$ {1:.1f} %".format(P_reg*100.,P_reg_err*100.)+"\n"+r"$\theta_{{P}}^{{int}}$ = {0:.1f} $\pm$ {1:.1f} °".format(PA_reg,PA_reg_err), color='white', fontsize=12, xy=(0.01, 0.90), xycoords='axes fraction') + self.an_int = ax.annotate(r"$F_{{\lambda}}^{{int}}$({0:.0f} $\AA$) = {1} $ergs \cdot cm^{{-2}} \cdot s^{{-1}} \cdot \AA^{{-1}}$".format(self.pivot_wav,sci_not(I_reg*self.convert_flux,I_reg_err*self.convert_flux,2))+"\n"+r"$P^{{int}}$ = {0:.1f} $\pm$ {1:.1f} %".format(P_reg*100.,np.ceil(P_reg_err*1000.)/10.)+"\n"+r"$\theta_{{P}}^{{int}}$ = {0:.1f} $\pm$ {1:.1f} °".format(PA_reg,np.ceil(PA_reg_err*10.)/10.)+"\n"+r"$P^{{cut}}$ = {0:.1f} $\pm$ {1:.1f} %".format(P_cut*100.,np.ceil(P_cut_err*1000.)/10.)+"\n"+r"$\theta_{{P}}^{{cut}}$ = {0:.1f} $\pm$ {1:.1f} °".format(PA_cut,np.ceil(PA_cut_err*10.)/10.), color='white', fontsize=12, xy=(0.01, 0.85), xycoords='axes fraction') if not self.region is None: self.cont = ax.contour(self.region.astype(float),levels=[0.5], colors='white', linewidths=0.8) fig.canvas.draw_idle() return self.an_int else: - ax.annotate(r"$F_{{\lambda}}^{{int}}$({0:.0f} $\AA$) = {1} $ergs \cdot cm^{{-2}} \cdot s^{{-1}} \cdot \AA^{{-1}}$".format(self.pivot_wav,sci_not(I_reg*self.convert_flux,I_reg_err*self.convert_flux,2))+"\n"+r"$P^{{int}}$ = {0:.1f} $\pm$ {1:.1f} %".format(P_reg*100.,P_reg_err*100.)+"\n"+r"$\theta_{{P}}^{{int}}$ = {0:.1f} $\pm$ {1:.1f} °".format(PA_reg,PA_reg_err), color='white', fontsize=12, xy=(0.01, 0.94), xycoords='axes fraction') + ax.annotate(r"$F_{{\lambda}}^{{int}}$({0:.0f} $\AA$) = {1} $ergs \cdot cm^{{-2}} \cdot s^{{-1}} \cdot \AA^{{-1}}$".format(self.pivot_wav,sci_not(I_reg*self.convert_flux,I_reg_err*self.convert_flux,2))+"\n"+r"$P^{{int}}$ = {0:.1f} $\pm$ {1:.1f} %".format(P_reg*100.,np.ceil(P_reg_err*1000.)/10.)+"\n"+r"$\theta_{{P}}^{{int}}$ = {0:.1f} $\pm$ {1:.1f} °".format(PA_reg,np.ceil(PA_reg_err*10.)/10.)+"\n"+r"$P^{{cut}}$ = {0:.1f} $\pm$ {1:.1f} %".format(P_cut*100.,np.ceil(P_cut_err*1000.)/10.)+"\n"+r"$\theta_{{P}}^{{cut}}$ = {0:.1f} $\pm$ {1:.1f} °".format(PA_cut,np.ceil(PA_cut_err*10.)/10.), color='white', fontsize=12, xy=(0.01, 0.90), xycoords='axes fraction') if not self.region is None: ax.contour(self.region.astype(float),levels=[0.5], colors='white', linewidths=0.8) fig.canvas.draw_idle() diff --git a/src/lib/reduction.py b/src/lib/reduction.py index 2aecacf..7fa18ce 100755 --- a/src/lib/reduction.py +++ b/src/lib/reduction.py @@ -491,10 +491,7 @@ def get_error(data_array, headers, error_array=None, data_mask=None, #bkg = np.std(sub_image) # Previously computed using standard deviation over the background bkg = np.sqrt(np.sum((sub_image-sub_image.mean())**2)/sub_image.size) error_bkg[i] *= bkg - - #Substract background - data_array[i] = np.abs(data_array[i] - sub_image.mean()) - + # Quadratically add uncertainties in the "correction factors" (see Kishimoto 1999) #wavelength dependence of the polariser filters #estimated to less than 1% @@ -507,15 +504,18 @@ def get_error(data_array, headers, error_array=None, data_mask=None, err_flat = data_array[i]*0.03 error_array[i] = np.sqrt(error_array[i]**2 + error_bkg[i]**2 + err_wav**2 + err_psf**2 + err_flat**2) - + + #Substract background + data_array[i] = np.abs(data_array[i] - sub_image.mean()) + background[i] = sub_image.sum() if (data_array[i] < 0.).any(): print(data_array[i]) #if i==0: - #np.savetext("output/s_bg.txt",error_bkg[i]) - #np.savetext("output/s_wav.txt",err_wav) - #np.savetext("output/s_psf.txt",err_psf) - #np.savetext("output/s_flat.txt",err_flat) + #np.savetxt("output/s_bg.txt",error_bkg[i]) + #np.savetxt("output/s_wav.txt",err_wav) + #np.savetxt("output/s_psf.txt",err_psf) + #np.savetxt("output/s_flat.txt",err_flat) if display: plt.rcParams.update({'font.size': 10}) @@ -846,7 +846,7 @@ def align_data(data_array, headers, error_array=None, upsample_factor=1., rescaled_error[i] = np.sqrt(rescaled_error[i]**2 + error_shift**2) #if i==1: - #np.savetext("output/s_shift.txt",error_shift) + #np.savetxt("output/s_shift.txt",error_shift) shifts.append(shift) errors.append(error) @@ -1259,9 +1259,9 @@ def compute_Stokes(data_array, error_array, data_mask, headers, s_I2_axis = np.sum([dI_dtheta[i]**2 * sigma_theta[i]**2 for i in range(len(sigma_theta))],axis=0) s_Q2_axis = np.sum([dQ_dtheta[i]**2 * sigma_theta[i]**2 for i in range(len(sigma_theta))],axis=0) s_U2_axis = np.sum([dU_dtheta[i]**2 * sigma_theta[i]**2 for i in range(len(sigma_theta))],axis=0) - #np.savetext("output/sI_dir.txt", np.sqrt(s_I2_axis)) - #np.savetext("output/sQ_dir.txt", np.sqrt(s_Q2_axis)) - #np.savetext("output/sU_dir.txt", np.sqrt(s_U2_axis)) + #np.savetxt("output/sI_dir.txt", np.sqrt(s_I2_axis)) + #np.savetxt("output/sQ_dir.txt", np.sqrt(s_Q2_axis)) + #np.savetxt("output/sU_dir.txt", np.sqrt(s_U2_axis)) # Add quadratically the uncertainty to the Stokes covariance matrix Stokes_cov[0,0] += s_I2_axis @@ -1296,7 +1296,7 @@ def compute_Stokes(data_array, error_array, data_mask, headers, P_diluted = np.sqrt(Q_diluted**2+U_diluted**2)/I_diluted P_diluted_err = (1./I_diluted)*np.sqrt((Q_diluted**2*Q_diluted_err**2 + U_diluted**2*U_diluted_err**2 + 2.*Q_diluted*U_diluted*QU_diluted_err)/(Q_diluted**2 + U_diluted**2) + ((Q_diluted/I_diluted)**2 + (U_diluted/I_diluted)**2)*I_diluted_err**2 - 2.*(Q_diluted/I_diluted)*IQ_diluted_err - 2.*(U_diluted/I_diluted)*IU_diluted_err) - PA_diluted = np.degrees((1./2.)*np.arctan2(U_diluted,Q_diluted)) + PA_diluted = princ_angle(np.degrees((1./2.)*np.arctan2(U_diluted,Q_diluted))) PA_diluted_err = princ_angle(np.degrees((1./(2.*(Q_diluted**2 + U_diluted**2)))*np.sqrt(U_diluted**2*Q_diluted_err**2 + Q_diluted**2*U_diluted_err**2 - 2.*Q_diluted*U_diluted*QU_diluted_err))) for header in headers: @@ -1555,7 +1555,7 @@ def rotate_Stokes(I_stokes, Q_stokes, U_stokes, Stokes_cov, data_mask, headers, P_diluted = np.sqrt(Q_diluted**2+U_diluted**2)/I_diluted P_diluted_err = (1./I_diluted)*np.sqrt((Q_diluted**2*Q_diluted_err**2 + U_diluted**2*U_diluted_err**2 + 2.*Q_diluted*U_diluted*QU_diluted_err)/(Q_diluted**2 + U_diluted**2) + ((Q_diluted/I_diluted)**2 + (U_diluted/I_diluted)**2)*I_diluted_err**2 - 2.*(Q_diluted/I_diluted)*IQ_diluted_err - 2.*(U_diluted/I_diluted)*IU_diluted_err) - PA_diluted = np.degrees((1./2.)*np.arctan2(U_diluted,Q_diluted)) + PA_diluted = princ_angle(np.degrees((1./2.)*np.arctan2(U_diluted,Q_diluted))) PA_diluted_err = princ_angle(np.degrees((1./(1.*(Q_diluted**2 + U_diluted**2)))*np.sqrt(U_diluted**2*Q_diluted_err**2 + Q_diluted**2*U_diluted_err**2 - 2.*Q_diluted*U_diluted*QU_diluted_err))) for header in new_headers: