mirror of
https://github.com/yosata/fourierOptics.git
synced 2026-10-29 20:51:10 +00:00
93 lines
2.9 KiB
Python
93 lines
2.9 KiB
Python
import numpy as np
|
|
import sys
|
|
sys.path.insert(0, '/Users/joost/Dropbox/Werk/PhD/Documents/Published/FourierOptics GitHub release/')
|
|
from fourierOptics import *
|
|
import scipy.special as spc
|
|
|
|
|
|
'''
|
|
Description:
|
|
This script simulates the dispersed PSF of the small (40 cm)
|
|
Gratama telescope at the University of Groningen under 1.5
|
|
arcsecond seeing.
|
|
'''
|
|
|
|
|
|
if __name__ == '__main__':
|
|
l = 0.5e-3 # mm
|
|
D_GT = 400 # mm
|
|
dpix = 1.6
|
|
n,m = 1001, 1001
|
|
x,y = np.meshgrid(np.linspace(-n/2*dpix, n/2*dpix, n), np.linspace(-m/2*dpix, m/2*dpix, m))
|
|
wfe = WavefrontError(n, m)
|
|
|
|
# Create the Bahtinov mask and set it on the entrance pupil (ELT-M1)
|
|
GT_MASK = Profiles().bahtinov_mask(D_GT/2, 186.53/2, n, m, dpix=1.6, N=30, oversample=1).astype('complex128')
|
|
GT_M1 = ParabolicMirror(dx=0, dy=0, name='GT_Paraxial', CA=400, f=3200)
|
|
GT_platescale = (3600*180/np.pi) / (GT_M1.CA * 8)
|
|
|
|
# Set up
|
|
Elist = []
|
|
lList = np.linspace(0.398e-3, 0.727e-3, 25).tolist()
|
|
|
|
# Dispersion over the band
|
|
dispMax = 1.5 / 3600 # maximum dispersion in degrees
|
|
dispersion = np.linspace(0, dispMax, len(lList)).tolist()
|
|
|
|
# Seeing conditions
|
|
sng = 1.5
|
|
|
|
|
|
# Iterate over the wavelengths
|
|
for i in range(len(lList)):
|
|
|
|
l = lList[i]
|
|
print(l)
|
|
# Generating the tilt to the input field.
|
|
d = dispersion[i]
|
|
field_tilt = wfe.generate_tilt(x,y,tx=0, ty=d)
|
|
|
|
# Adding the tilt to the input field
|
|
Ein = GT_MASK * np.exp(-1j * 2*np.pi/l * field_tilt) * GT_M1.phase_delay(x,y,l, paraxial=True)
|
|
|
|
# Propagate the input field throug the paraxial model
|
|
# Output diffraction limited PSF
|
|
fou = FourierOptics(l)
|
|
oC = [-0.6, 0.6, -0.6, 0.6]
|
|
Eout, xout, yout = fou.fresnel_propagation(Ein, x, y, dz=GT_M1.f, show=False,
|
|
outputCoordinates=oC, apply_interpolation=True)
|
|
psf_GT_DL = (Eout, xout, yout)
|
|
|
|
psf_seeing = add_seeing(l, sng, psf_GT_DL)
|
|
|
|
Elist.append(psf_seeing)
|
|
# Elist.append(Eout)
|
|
|
|
# Average over all the wavelengths to get the final field.
|
|
Eca = np.asarray([np.abs(x) for x in Elist]).mean(axis=0) # Amplitude # Intensity
|
|
Ecp = np.asarray([np.angle(x) for x in Elist]).mean(axis=0) # Phase
|
|
|
|
Eca = Eca/Eca.max() * 64000
|
|
|
|
# Adding background level and nosie, estimated from FITS data of the Gratama Telescope
|
|
Eca = Eca + np.random.normal(2000, 13.5, np.shape(Eca))
|
|
|
|
# Convert the scale to sky-angles using the plate scale
|
|
x = xout * GT_platescale
|
|
y = yout * GT_platescale
|
|
|
|
# save_variable('GT_psf_with_dispersion.pkl', (Eca, x, y))
|
|
|
|
# Plotting the results
|
|
fig = plt.figure(figsize=(9,7))
|
|
ax = fig.add_subplot(111)
|
|
im = ax.imshow(Eca, cmap='hot', origin='lower', extent=[x.min(),x.max(),y.min(),y.max()], norm=LogNorm())
|
|
ax.set_xlim([x.min(),x.max()])
|
|
ax.set_ylim([y.min(),y.max()])
|
|
ax.set_xlabel('x [arcsec]')
|
|
ax.set_ylabel('y [arcsec]')
|
|
fig.colorbar(im, ax=ax, label='Amplitude')
|
|
plt.tight_layout()
|
|
plt.show()
|
|
|
|
plot_real_valued_results(np.sqrt(Eca), x, y, fig_size=(9,7)) |