mirror of
https://github.com/yosata/fourierOptics.git
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292 lines
9.9 KiB
Python
292 lines
9.9 KiB
Python
#!/usr/bin/env Python3
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import numpy as np
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import matplotlib.pyplot as plt
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from matplotlib.ticker import FormatStrFormatter
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from matplotlib.colors import LogNorm
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import time
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import sys
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sys.path.insert(0, '/Users/joost/Dropbox/Werk/PhD/Documents/Published/FourierOptics GitHub release/')
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from fourierOptics import *
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from AstroAtmosphere import *
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from scipy import interpolate
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'''
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Script used to animate a changing PSF under changing amounts of
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(atmospheric) dispersion.
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'''
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def perform_padding(A, xs, ys):
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assert A.shape[0] <= xs and A.shape[1] <= ys, 'New size is smaller than array size.'
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x_margin = int((xs - A.shape[0])/2)
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y_margin = int((ys - A.shape[1])/2)
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return np.pad(A, (x_margin, y_margin))
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def find_nearest(array, value):
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array = np.asarray(array)
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diff = (np.abs(array - value)).argmin()
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idx = np.unravel_index(diff, array.shape)
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return idx
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def find_maximum(array):
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idx = np.unravel_index(array.argmax(), array.shape)
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return idx
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def select_subsection(x, y , outputCoordinates):
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select_1 = find_nearest(x, outputCoordinates[0])[1]
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select_2 = find_nearest(x, outputCoordinates[1])[1]
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select_3 = find_nearest(y, outputCoordinates[2])[0]
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select_4 = find_nearest(y, outputCoordinates[3])[0]
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return [select_1, select_2, select_3, select_4]
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def perform_extrapolation(x, y, n, m):
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# Determine properties of x,y meshgrid
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xshape = x.shape[0]
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yshape = y.shape[0]
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dpix = (np.abs(np.min(x)) + np.abs(np.max(x))) / (xshape-1)
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# Extrapolate from, and include, the old x,y meshgrid
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xnew = np.linspace(-(n-1)/2*dpix, (n-1)/2*dpix, n)
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ynew = np.linspace(-(m-1)/2*dpix, (m-1)/2*dpix, m)
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xnew, ynew = np.meshgrid(xnew, ynew)
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return xnew, ynew
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def calculate_dispersion(n_iter):
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# Parameters at Cerro Armazones
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T = 279.65 # k
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P = 71200 # Pa
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H = 0.22
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xc = 450 # ppm
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lat = -24.5983 # degrees
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h = 3064 # m
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l1 = 1.49 # micron
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l2 = 1.78 # micron
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# Initializing dispersion model
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at = Observatory()
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# Calculating indices of refraction for l1 and l2
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n1 = at.n_tph(l=l1, T=T, p=P, RH=H, xc=xc)
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n2 = at.n_tph(l=l2, T=T, p=P, RH=H, xc=xc)
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# Density of the atmosphere (following CIPM-81/91 equations)
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rho = at.rho(p=P, T=T, RH=H, xc=xc)
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# Initializing dispersion object
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disp = dispersion(lat, h)
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disp.setReducedHeight(P, rho)
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zenith_obs = np.linspace(0,75,n_iter)
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dispersion_obs = [disp.cassini(n1, n2, z) for z in zenith_obs]
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return dispersion_obs, zenith_obs
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if __name__ == '__main__':
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plt.rc('font', family='serif')
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plt.rc('axes', labelsize='large')
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# Dispersion levels:
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lList = np.linspace(1.49e-3, 1.78e-3, 30).tolist()
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dispMaxList, zenith_obs = calculate_dispersion(25)
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for dispMax in dispMaxList:
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dispersion = np.linspace(0, dispMax, len(lList)).tolist()
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zenith_angle = zenith_obs[dispMaxList.index(dispMax)]
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print(zenith_angle)
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Exyz_list = []
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# Input parameters:
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dpix = 50
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n, m = 3001, 3001
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x, y = np.meshgrid(np.linspace(-n/2*dpix, n/2*dpix, n), np.linspace(-m/2*dpix, m/2*dpix, m))
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print ('Your resolution is {}x{} with a pixel size of {}'.format(n,m,dpix))
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print('This means your grid is {} mm by {} mm, with each pixel {} mm.'.format(x.max()-x.min(), y.max()-y.min(), dpix))
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###########################################################
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#################### SETTING UP MICADO ####################
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###########################################################
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# Define the ELT mask (the spiders and central obscuration)
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prof = Profiles()
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# ELT_MASK = prof.top_hat(19427, n,m,dpix)#.astype('float64')
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# ELT_MASK = prof.obscured_top_hat(4000, 500, n, m, dpix)
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ELT_MASK = prof.ELT_pupil(n,m,dpix)
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# plt.imshow(ELT_MASK);plt.colorbar();plt.show()
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###########################################################
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for l in lList:
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i = lList.index(l)
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print('Wavelength is {:.6f} mm. ({:02d}/{}).'.format(l,lList.index(l)+1, len(lList)))
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x, y = np.meshgrid(np.linspace(-n/2*dpix, n/2*dpix, n), np.linspace(-m/2*dpix, m/2*dpix, m))
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fou = FourierOptics(l=l)
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wfe = WavefrontError(n,m)
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dispersion_tilt = wfe.generate_tilt(x, y, tx=0, ty=dispersion[i])
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# ELT Mirror system combined into a single lens
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ELT_MIRROR = ParabolicMirror(dx=0, dy=0, name='ELT-paraxial', CA=38542, f=6.84022e5)
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ELT_FP = OpticalSurface(name='MCD-IFP')
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ELT_COL = ParaxialLens(CA=154.54, f=1418.94, name='MCD-COL')
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ELT_ADC = ADCObject()
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# optAngle = ELT_ADC.find_optimum_angle(17.9, lList[0], lList[-1])
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# print(optAngle)
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# print('ADC angle now set to {:.4f}'.format(ELT_ADC.theta))
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# ELT_ADC.set_orientation(180)
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ELT_CAM = ParaxialLens(CA=89.2, f=4278.32701, name='MCD-CAM')
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ELT_DET = OpticalSurface(name='MCD-DET')
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MCD = OpticalTrain()
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MCD.add_object(ELT_MIRROR, dist=0)
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MCD.add_object(ELT_FP, dist=ELT_MIRROR.f)
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MCD.add_object(ELT_COL, dist=ELT_COL.f)
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ELT_ADC.add_to_optical_train(MCD, 1209.4718)
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MCD.add_object(ELT_CAM, dist=50)
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MCD.add_object(ELT_DET, dist=ELT_CAM.f)
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# Print lens data for verification
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# MCD.print_lens_data()
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###########################################################
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###################### PROPAGATION ########################
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###########################################################
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coordinatesList = [
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[-1.5, 1.5, -1.5, 1.5],
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[-200, 200, -200, 200],
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[-120, 120, -120, 120],
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[-120, 120, -120, 120],
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[-120, 120, -120, 120],
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[-120, 120, -120, 120],
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[-120, 120, -120, 120],
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[-3.5, 3.5, -3.5, 3.5]
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]
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xin, yin = x, y
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print('Starting propagation...')
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# From ELT-M1 to ELT-FP
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print('Propagating from ELT-M1 to ELT-IFP', end='\r')
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wf = ELT_MASK.astype('complex128')
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ELT_MIRROR.add_wavefront_error(dispersion_tilt)
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wf *= ELT_MIRROR.phase_delay(x,y,l, paraxial=True)
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Exyz, x, y = fou.fresnel_propagation(wf, xin, yin, dz=ELT_MIRROR.f, oversample=None,
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show=False, save=False)#, outputCoordinates=coordinatesList[0], apply_interpolation=False)
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# From ELT-FP to MCD-COL
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print('Propagating from ELT-IFP to MCD-COL', end='\r')
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Exyz2, x2, y2 = fou.fresnel_propagation(Exyz, x, y, dz=ELT_COL.f, oversample=None,
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show=False, save=False, outputCoordinates=coordinatesList[1], apply_interpolation=False)
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# From MCD-COL to MCD-ADC-P1
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print('Propagating from MCD-COL to MCD-ADC-P1', end='\r')
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Exyz2 *= ELT_COL.phase_delay(x2,y2,l, paraxial=True)
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Exyz3, x3, y3 = fou.plane_wave_propagation(Exyz2, x2, y2, dz=MCD.sequentialDistance[3], oversample=None,
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show=False, save=False, outputCoordinates=None)
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# From MCD-ADC-P1 to MCD-ADC-P2
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print('Propagating from MCD-ADC-P1 to MCD-ADC-P2', end='\r')
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Exyz3 *= ELT_ADC.get_phase_delay(x3,y3,l, theta=None, paraxial=True, prism=1)
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Exyz4, x4, y4 = fou.plane_wave_propagation(Exyz3, x3, y3, dz=MCD.sequentialDistance[4], oversample=None,
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show=False, save=False, outputCoordinates=None)
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# From MCD-ADC-P2 to MCD-ADC-P3
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print('Propagating from MCD-ADC-P2 to MCD-ADC-P3', end='\r')
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Exyz4 *= ELT_ADC.get_phase_delay(x4,y4,l, theta=None, paraxial=True, prism=2)
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Exyz5, x5, y5 = fou.plane_wave_propagation(Exyz4, x4, y4, dz=MCD.sequentialDistance[5], oversample=None,
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show=False, save=False, outputCoordinates=None)
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# From MCD-ADC-P3 to MCD-ADC-P4
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print('Propagating from MCD-ADC-P3 to MCD-ADC-P4', end='\r')
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Exyz5 *= ELT_ADC.get_phase_delay(x5,y5,l, theta=None, paraxial=True, prism=3)
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Exyz6, x6, y6 = fou.plane_wave_propagation(Exyz5, x5, y5, dz=MCD.sequentialDistance[6], oversample=None,
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show=False, save=False, outputCoordinates=None)
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# From MCD-ADC-P4 to MCD-CAM
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print('Propagating from MCD-ADC-P4 to MCD-CAM', end='\r')
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Exyz6 *= ELT_ADC.get_phase_delay(x6,y6,l, theta=None, paraxial=True, prism=4)
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Exyz7, x7, y7 = fou.plane_wave_propagation(Exyz6, x6, y6, dz=MCD.sequentialDistance[7], oversample=None,
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show=False, save=False, outputCoordinates=None)
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# From MCD-CAM to MCD-DET
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print('Propagating from MCD-CAM to MCD-DET', end='\r')
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Exyz7 *= ELT_CAM.phase_delay(x7,y7,l, paraxial=True)
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Exyz8, x8, y8 = fou.fresnel_propagation(Exyz7, x7, y7, dz=ELT_CAM.f, oversample=None,
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show=False, save=False, outputCoordinates=coordinatesList[-1], apply_interpolation=True)
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# The result here shifts the PSF to the side, due to the phase tilts of the ADC
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# surfaces. We find the locations of the maximum and redo the the fresnel propagation
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# around these coordinates.
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# print('Zooming in on the PSF location...', end='\r')
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# imax_1, imax_2 = find_maximum(np.abs(Exyz8))
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# x8max = x8[imax_1, imax_2]
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# y8max = y8[imax_1, imax_2]
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# newCoordinates = np.asarray(coordinatesList[7]) + np.array([x8max, x8max, y8max, y8max])
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# newCoordinates = newCoordinates.real.tolist()
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# Exyz9, x9, y9 = fou.fresnel_propagation(Exyz7, x7, y7, dz=ELT_CAM.f, oversample=None,
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# show=False, save=False, outputCoordinates=newCoordinates, apply_interpolation=True)
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print('Propagation finished!')
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Exyz_list.append(np.abs(Exyz8)**2)
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fou = None
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del fou
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wfe = None
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del wfe
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MCD = None
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del MCD
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wf = None
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del wf
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ELT_MIRROR = None
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del ELT_MIRROR
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ELT_COL = None
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del ELT_COL
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ELT_ADC = None
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del ELT_ADC
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ELT_CAM = None
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del ELT_CAM
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ELT_DET = None
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del ELT_DET
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###########################################################
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Exyz_total = np.asarray(Exyz_list).sum(axis=0)
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if zenith_angle == zenith_obs[0]:
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maxIntensity = np.max(Exyz_total)
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_xip = x8
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_yip = y8
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save = 'ELT-MCD-Hband_dispersion_z{:02d}.pdf'.format(int(zenith_angle))
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_fig = plt.figure()
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_ax = _fig.add_subplot(111)
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_im = _ax.imshow(Exyz_total.T, cmap='hot',
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extent=[_xip.min(), _xip.max(), _yip.min(), _yip.max()],
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norm=LogNorm(vmax=maxIntensity, vmin=2e-7))
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_ax.set_xlim([_xip.min(), _xip.max()])
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_ax.set_ylim([_yip.min(), _yip.max()])
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_ax.set_xlabel('x [mm]')
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_ax.set_ylabel('y [mm]')
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_fig.colorbar(_im, ax=_ax, label='Intensity')
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plt.tight_layout()
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plt.savefig(save, bbox_inches='tight', transparent=True)
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plt.close()#show()
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