import numpy as np import sys # sys.path.insert(0, '/Users/joost/Dropbox/Werk/PhD/Analyses/Python/Analytical/Fourier Optics') # sys.path.insert(0, '/home/joost/Dropbox/Werk/PhD/Analyses/Python/Analytical/Fourier Optics') sys.path.insert(0, '/Users/joost/Dropbox/Werk/PhD/Documents/Published/FourierOptics GitHub release/') from fourierOptics import * from pdb import set_trace ''' Author: Joost van den Born, PhD student at University of Groningen Contact: born@astro.rug.nl Description: Script to generate the geometric distortions due to WFEs off the ADC prisms. The distortions are produced by measuring the offset of the PSF centroid with and without WFE as a function of field position. Script made for the SPIE manuscript. ''' def plot_distortions(): # Coordinates without WFEs xe = load_variable('../data/GD_IFP_obscured_PSF_xcentroid_expected_fs.pkl') ye = load_variable('../data/GD_IFP_obscured_PSF_ycentroid_expected_fs.pkl') # Coordinates with WFEs xf = load_variable('../data/GD_IFP_obscured_PSF_xcentroid_found_with_wfe_airy_fs.pkl') yf = load_variable('../data/GD_IFP_obscured_PSF_ycentroid_found_with_wfe_airy_fs.pkl') mcd = ParaxialMICADO(n=3001, m=3001, dpix=50, l=1.49e-3) n = xe.shape[0] X = xe.flatten() Y = ye.flatten() dX = xf - xe dY = yf - ye dx = dX.flatten() dy = dY.flatten() # Magnitude of the distortions R = np.sqrt(dx**2 + dy**2) * mcd.platescale * 1e6 # Dummy figure, used for the colorbar colors in the quiver plot im = plt.imshow(np.reshape(R, (n,n))) plt.close() fig = plt.figure() ax = fig.add_subplot() for i in range(len(xe)): ax.plot(xe[:,i], ye[:,i], 'k-', alpha=0.2, linewidth=.5) ax.plot(xe[i,:], ye[i,:], 'k-', alpha=0.2, linewidth=.5) ax.quiver(X,Y,dx,dy, angles='xy', edgecolor='k', facecolor='None', linewidth=.5, units='dots') ax.quiver(X,Y,dx,dy,R, alpha=.5, units='dots') ax.set_aspect('equal', adjustable='box') ax.set_xlabel('x (mm)') ax.set_ylabel('y (mm)') fig.colorbar(im, ax=ax, label='PSF centroid shift ($\\mu$as)') plt.savefig('../figures/UPDATED_GD_focal_plane_fs.pdf', bbox_inches='tight', transparent=True) plt.savefig('../figures/UPDATED_GD_focal_plane_fs.png', bbox_inches='tight', transparent=True) plt.tight_layout() plt.show() if __name__ == '__main__': # plt.rc('text', usetex=True) plt.rc('font', family='serif') plt.rc('axes', labelsize='large') # Setup of simulation l = 1.49e-3 mcd = ParaxialMICADO(n=3001, m=3001, dpix=50) # mcd.plot_ray_trace() # Get x3 and y3 (the coordinates to apply the ADC WFE to): # The focal plane area is about 200x200 mm, so we apply the wavefront error to an area # of 200x200 mm. xfp, yfp = np.meshgrid(np.linspace(-150, 150, mcd.n), np.linspace(-150, 150, mcd.m)) # _, xfp, yfp = mcd.propagate(l=l,surface=1, zoom=False, show=False, # print_progress=False) # Generate a wavefront error for the intermediate focal plane. print('\nSetting the wavefront errors...') wfe_fp = WavefrontError(mcd.n,mcd.m) wfe_rms = 15000e-6 #PSD Wavefront error # Loading the phase generated using a Fourier Series fs_array = load_variable('wfe_fp_phase_array_{}_{}.pkl'.format(mcd.n, mcd.m)) # Retrieving the coefficients for the Fourier series np.random.seed(2183) coeff = np.random.uniform(-1,1,(101,101)) wfe_fp.coefficients = coeff fs_array = fourier_series(xfp, yfp, coeff, Px=30, Py=30, xs=10, ys=10) # Setting the initial full window phase array to generate the full window surface height map. wfe_fp.phase = fs_array surface_map_fp = wfe_fp.generate_height_map(wfe_rms, 2, 1) # plot_real_valued_results(surface_map_fp*1e6, xfp, yfp, logscale=False, fig_size=(8,6.4), grid=False, show=True, # colormap='jet', labeltext='Surface height (nm)') # save_variable('../data/MCD_IFP_wfe_object_PSD_50nm.pkl', wfe_fp) # wfe_fp = load_variable('../data/MCD_IFP_wfe_object_PSD_50nm.pkl') # surface_map_fp = wfe_fp.data # plt.show() Elist, Eplist = [], [] xlist, ylist = [], [] xplist, yplist = [], [] x_expected_list, y_expected_list = [], [] x_centroid_list, y_centroid_list = [], [] # Set field points hxList, hyList = np.mgrid[-1:1:11j,-1:1:11j]-(1/300) # hxList, hyList = np.mgrid[-.1/11:.1/11:11j,-.1/11:.1/11:11j]-(1/300) # Zoomed in to central area hxList = hxList.flatten() hyList = hyList.flatten() # hxList, hyList = [0.0], [0.0] # List of performed simulations # Defined by PSD ## GD_IFP : -1:1 ## GD_IFP_zoom : -1/11 :1/11 ## GD_IFP_zoom2 : -.5/11:.5/11 ## GD_IFP_zoom3 : -.1/11:.1/11 # Defined by zernikes ## GD_IFP_obscured_PSF_xcentroid_expected_zern : 50 nm rms 19 zernike modes : -1 : 1 ## To do; check PSF shape at center field with zern wfe ## To do; check interpolated WFE at any zoomed in field point. # Propagate through the field positions without any WFEs for i in range(len(hxList)): hx = hxList[i] hy = hyList[i] print('Data point: i={:.0f} of i_max={:.0f}'.format(i, len(hxList))) print('hx: {} - hy: {}'.format(hx,hy) ) # Initializing MICADO paraxial model mcd = ParaxialMICADO(n=3001, m=3001, dpix=50, entrance_pupil='obscured') # Propagate through the MICADO system E, x, y = mcd.propagate(l=l,surface=-1, zoom=False, show=False, print_progress=False, hx=hx, hy=hy) # Find approximation for the centroid and amplitude as a first # guess for the Obscured Airy pattern fit. amplitude_guess = np.max(np.abs(E))**2 xbc, ybc, _, _ = mcd.centroid_shift(method='Barycenter') print('Barycenter guess: ', xbc, ybc) # Do the Obscured Airy Pattern Fit for the unperturbed PSF xe, ye, _, _ = mcd.centroid_shift(method='Obscured Airy', initialGuess=(amplitude_guess, xbc, ybc, 0.0, 0.03)) print('Airy result: ', xe, ye) x_expected_list.append(xe) y_expected_list.append(ye) # Load in the WFEs and set them to the corresponding ADC surfaces print('\nSetting the wavefront errors...') # null_wfe = np.zeros((3001,3001)) mcd.ELT_FP.add_wavefront_error(surface_map_fp, xfp, yfp, wfe=wfe_fp) # Propagate through the MICADO system print('Propagating with Wavefront Errors applied...') Ep, xp, yp = mcd.propagate(l=l,surface=-1, zoom=False, show=True, print_progress=False, hx=hx, hy=hy) # Do the Obscured Airy Pattern Fit for the perturbed PSF xf, yf, _, _ = mcd.centroid_shift(method='Obscured Airy', initialGuess=(amplitude_guess, xe, ye, 0.0, 0.03)) # Resulting centroid shift due to the WFE x_centroid_list.append(xf) y_centroid_list.append(yf) R = np.sqrt( (xf-xe)**2 + (yf-ye)**2 ) * mcd.platescale * 1e6 print('xf: {}, yf: {}, shift (uas): {}'.format(xf,yf, R)) data_tuple = (i, hx, hy, xe, ye, xf, yf) data_name = 'gd_point_{:03d}_hx{}_hy{}.pkl'.format(i, hx, hy) save_variable('../data/GD_IFP_intermediate_results/{}'.format(data_name), data_tuple) # Clear the memory by emptying the large arrays mcd = None wfe = None E, x, y = None, None, None Ep, xp, yp = None, None, None # Reshaping the arrays shape = (int(np.sqrt(len(x_expected_list))), int(np.sqrt(len(x_expected_list)))) x_expected = np.asarray(x_expected_list).reshape(shape) y_expected = np.asarray(y_expected_list).reshape(shape)#.T # Saving the arrays save_variable('../data/GD_IFP_obscured_PSF_xcentroid_expected_fs.pkl', x_expected) save_variable('../data/GD_IFP_obscured_PSF_ycentroid_expected_fs.pkl', y_expected) # Reshaping the arrays shape = (int(np.sqrt(len(x_centroid_list))), int(np.sqrt(len(x_centroid_list)))) x_centroid = np.asarray(x_centroid_list).reshape(shape) y_centroid = np.asarray(y_centroid_list).reshape(shape) # Saving the arrays save_variable('../data/GD_IFP_obscured_PSF_xcentroid_found_with_wfe_airy_fs.pkl', x_centroid) save_variable('../data/GD_IFP_obscured_PSF_ycentroid_found_with_wfe_airy_fs.pkl', y_centroid) plot_distortions()