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fourierOptics/scripts/artificial_speckles_test.py
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Python

#!/usr/bin/env Python3
import numpy as np
from pdb import set_trace
import matplotlib.pyplot as plt
from matplotlib.ticker import FormatStrFormatter
from matplotlib.colors import LogNorm
import sys
sys.path.insert(0, '/Users/joost/Dropbox/Werk/PhD/Analyses/Python/Analytical/Fourier Optics')
from fourierOptics import *
plt.rc('font', family='serif')
plt.rc('axes', labelsize='large')
# Parameters
dpix = 160
n, m = 1001, 1001
oC = [-2.5, 2.5, -2.5, 2.5]
l = 1.49e-3 # wavelength
lList = np.linspace(1.49e-3, 1.78e-3, 11).tolist()
dispMax = 17.9e-3 / 3600 # degrees
dispersion = np.linspace(0, dispMax, len(lList)).tolist()
Exyz_list = []
print ('Your resolution is {}x{} with a pixel size of {}'.format(n,m,dpix))
# Start of the ELT-lens system
# Initiate Fourier Optics, profile and wavefront error objects
for l in lList:
i = lList.index(l)
print(l, dispersion[i])
fou = FourierOptics(l=l)
prof = Profiles()
wfe = WavefrontError(n,m)
# A = prof.top_hat(38854/2, n, m, dpix=dpix, oversample=1)
A = prof.ELT_pupil(n,m,dpix)
# Create an input grid, equivalent to the size of ELT-M1
x, y = np.meshgrid(np.linspace(-n/2*dpix, n/2*dpix, n), np.linspace(-m/2*dpix, m/2*dpix, m))
# Create a ELT-M1 parabolic mirror
M1 = ParabolicMirror(dx=0, dy=0, name='ELT-M1', CA=38854/2, f=679945)
t_l = M1.phase_delay(x,y,l)
U_in = A * t_l
z = wfe.generate_sine_pattern(1e-4, 1e-4, 180, 180)
dispersion_tilt = wfe.generate_tilt(x,y,tx=0, ty=dispersion[i])
# psd_surface = wfe.generate_height_map(30e-6, 2, 1)
M1.add_wavefront_error(z+dispersion_tilt)# + psd_surface)
t_l = M1.phase_delay(x,y,l)
U_in2 = A * t_l
# Propagating the original, unperturbed, system and calculating encircled energy
Exyz_s,xs,ys = fou.fresnel_propagation(U_in2, x, y, dz=M1.f, show=False, outputCoordinates=oC)
Exyz_list.append(Exyz_s)
Exyz_s = np.asarray(Exyz_list).sum(axis=0)
plt.imshow(np.abs(Exyz_s), cmap='hot');plt.colorbar();plt.show()
plt.imshow(np.abs(Exyz_s)**2, cmap='hot', norm=LogNorm(vmin=1e-7));plt.colorbar();plt.show()