def exer4(odir):
""" Precise control of image positioning using phase slopes? """
# instantiate an mft object:
ft = matrixDFT.MatrixFourierTransform()
npup = 100
radius = 20.0
fp_size_reselt = 100
pupil = utils.makedisk(npup, radius=radius)
tilts = ((0,0),
(0*np.pi/npup, 0),
(1*np.pi/npup, 0),
(2*np.pi/npup, 0),
(3*np.pi/npup, 0),
(4*np.pi/npup, 0),
(95*np.pi/npup, 0),
(npup*np.pi/npup, 0))
phases = utils.phasearrays(npup, tilts)
for nt, ph in enumerate(phases):
pupilarray = pupil * np.exp(1j * ph)
imagefield = ft.perform(pupilarray, fp_size_reselt, npup)
image_intensity = (imagefield*imagefield.conj()).real
psf = image_intensity / image_intensity.max() # peak intensity unity
fits.PrimaryHDU(psf).writeto(
odir+"/ex4_tiltPi_a_{0:.3f}_b_{1:.3f}.fits".format(tilts[nt][0],tilts[nt][1]),
overwrite=True)
def exer5(odir):
""" Create ripples of phase aberration in the pupil
to simulate the Ruffles Potato Chip Telescope (RPCT) """
# instantiate an mft object:
ft = matrixDFT.MatrixFourierTransform()
npup = 100
radius = 20.0
fp_size_reselt = 100
pupil = utils.makedisk(npup, radius=radius)
number_of_waves_across = (2,3,4,5,6)
peaks = (0.0, 0.1, 0.3, 1.0, 3.0) # radians, amplitude of phase ripple
arrayshape = (npup, npup)
diam_pupil = radius*2 # pixels
center = (arrayshape[0]/2, arrayshape[1]/2)
for nwaves in number_of_waves_across:
for peak in peaks:
for offset in (0, ):
for angle in (0, ):
spatialwavelen = diam_pupil / nwaves
offset = offset * np.pi/180.0
khat = np.array((np.sin(angle*np.pi/180.0), np.cos(angle*np.pi/180.0))) # unit vector
kwavedata = np.fromfunction(utils.kwave2d, arrayshape,
spatialwavelen=spatialwavelen,
center=center,
offset=offset,
khat=khat)
pupilarray = pupil * np.exp(1j * peak * kwavedata)
imagefield = ft.perform(pupilarray, fp_size_reselt, npup)
image_intensity = (imagefield*imagefield.conj()).real
psf = image_intensity / image_intensity.max() # peak intensity unity
fits.PrimaryHDU(peak*kwavedata).writeto(
odir+"/ex5_pupilarrayripple_{0:d}acrossD_peak_{1:.1f}.fits".format(nwaves,peak),
overwrite=True)
def create_input_datafiles(rfn=None):
"""
Pupil and image data, true (zero mean) phase map (rad)
No de-tilting of the thase done.
Didactic case, no input parameters: create the pupil & monochromatic image
on appropriate pixel scales.
Pupil and image arrays of same size, ready to FT into each
other losslessly. For real data you'll need to worry about adjusting
sizes to satify this sampling relation between the two planes.
For finite bandwidth data image simulation will loop over wavelengths.
For coarsely sampled pixels image simulation will need to use finer
sampling and rebin to detector pixel sizes.
[email protected] Jan 2019
"""
pupil0 = utils.makedisk(250, radius=50) # D=100 pix, array 250 pix
pupil1 = (pupil0 -
utils.makedisk(250, radius=15, ctr=(125.0, 75.0))) * pupil0
pupil2 = (pupil1 -
utils.makedisk(250, radius=15, ctr=(90.0, 90.0))) * pupil0
pupil3 = (pupil2 -
utils.makedisk(250, radius=15, ctr=(75.0, 125.0))) * pupil0
fits.writeto(rfn + "0__input_pup.fits", pupil0, overwrite=True)
fits.writeto(rfn + "1__input_pup.fits", pupil1, overwrite=True)
fits.writeto(rfn + "2__input_pup.fits", pupil2, overwrite=True)
fits.writeto(rfn + "3__input_pup.fits", pupil3, overwrite=True)
for pnum in (0, 1, 2, 3):
pupil = fits.getdata(rfn + "{:1d}__input_pup.fits".format(pnum))
offctrbump = (pupil.shape[0] / 2.0 + 30, pupil.shape[1] / 2.0 + 20.0
) # off-center bump
ctrbump = (pupil.shape[0] / 2.0, pupil.shape[1] / 2.0) # central bump
#quarter wave phase bump, off center
phase = (2.0 * np.pi / 4.0) * utils.makegauss(
pupil.shape[0], ctr=offctrbump, sigma=10.0) * pupil
phase = de_mean(phase, pupil) # zero mean phase - doesn't change image
fits.writeto(rfn + "{:1d}__input_truepha.fits".format(pnum),
phase,
overwrite=True)
mft = matrixDFT.MatrixFourierTransform()
imagefield = mft.perform(pupil * np.exp(1j * phase), pupil.shape[0],
pupil.shape[0])
image = (imagefield * imagefield.conj()).real
fits.writeto(rfn + "{:1d}__input_img.fits".format(pnum),
image / image.sum(),
overwrite=True)
del mft
def exer2(odir):
""" Are you simulating samples or pixels? Image plane sampling effect """
# instantiate an mft object:
ft = matrixDFT.MatrixFourierTransform()
npup = 100
radius = 20.0
fp_size_reselts = 10
fp_npixels = (4, 8, 16, 32)
pupil = utils.makedisk(npup, radius=radius)
fits.PrimaryHDU(pupil).writeto(odir+"/ex2_pupil.fits", overwrite=True) # write pupil file
for fpnpix in fp_npixels:
imagefield = ft.perform(pupil, fp_size_reselts, fpnpix)
imageintensity = (imagefield*imagefield.conj()).real
psf = imageintensity / imageintensity.max() # normalize to peak intensity unity
zpsf = scipy.ndimage.zoom(psf, 32//fpnpix, order=0)
fits.PrimaryHDU(zpsf).writeto(odir+"/ex2_nfppix{}_zoom{}.fits".format(fpnpix,32//fpnpix), overwrite=True)
def exer3(odir):
""" What do phase slopes - tilts - in the pupil plane do? """
# instantiate an mft object:
ft = matrixDFT.MatrixFourierTransform()
npup = 100
radius = 20.0
fp_size_reselt = 100
pupil = utils.makedisk(npup, radius=radius)
tilts = ((0,0), (0.3,0), (1.0,0), (3.0,0))
phases = utils.phasearrays(npup, tilts)
for nt, ph in enumerate(phases):
pupilarray = pupil * np.exp(1j * ph)
imagefield = ft.perform(pupilarray, fp_size_reselt, npup)
image_intensity = (imagefield*imagefield.conj()).real
psf = image_intensity / image_intensity.max() # peak intensity unity
fits.PrimaryHDU(psf).writeto(
odir+"/ex3_tilt_a_{0:.3f}_b_{1:.3f}.fits".format(tilts[nt][0],tilts[nt][1]),
overwrite=True)
def exer1(odir):
""" Let's get something for nothing if we can!!! """
# instantiate an mft object:
ft = matrixDFT.MatrixFourierTransform()
npup = 100
radius = 20.0
fp_size_reselts = (100, 200, 300, 400)
fp_npixels = (100, 200, 300, 400)
pupil = utils.makedisk(npup, radius=radius)
fits.PrimaryHDU(pupil).writeto(odir+"/ex1_pupil.fits", overwrite=True) # write pupil file
for (fpr,fpnpix) in zip(fp_npixels,fp_size_reselts):
imagearray = np.zeros((400,400)) # create same-sized array for all 4 FOV's we calculate.
imagefield = ft.perform(pupil, fpr, fpnpix)
imageintensity = (imagefield*imagefield.conj()).real
psf = imageintensity / imageintensity.max() # normalize to peak intensity unity
imagearray[200-fpnpix//2:200+fpnpix//2,200-fpnpix//2:200+fpnpix//2] = psf # center image in largest array size
fits.PrimaryHDU(imagearray).writeto(odir+"/ex1_nfppix{}_fpsize{}.fits".format(fpnpix,fpr), overwrite=True)
def create_input_datafiles_bumps(rfn=None):
"""
returns: list of mgsdtasets
Didactic case, no input parameters: create the pupil & monochromatic image
on appropriate pixel scales.
Pupil and image arrays of same size, ready to FT into each
other losslessly. For real data you'll need to worry about adjusting
sizes to satify this sampling relation between the two planes.
For finite bandwidth data image simulation will loop over wavelengths.
For coarsely sampled pixels image simulation will need to use finer
sampling and rebin to detector pixel sizes.
[email protected] Jan 2019
"""
mft = matrixDFT.MatrixFourierTransform()
pupilradius = 50
pupil = utils.makedisk(250, radius=pupilradius) # D=100 pix, array 250 pix
pupilindex = np.where(pupil >= 1)
pupilfn = rfn + "__input_pup.fits"
fits.writeto(pupilfn, pupil, overwrite=True)
mgsdatasets = []
defocus_list = (-12.0, 12.0, -10.0, 10.0, -8.0, 8.0, -6.0, 6.0, -4.0, 4.0,
-2.0, 2.0)
print(defocus_list)
number_of_d_across_D = range(
1, 16) # different aberrations - dia of bump in pupil
rippleamp = 1.0 # radians, 1/6.3 waves, about 340nm at 2.12 micron Bump height. bad var name
# for a variety of bumps across the pupil:
for nwaves in number_of_d_across_D: # preserve var name nwaves from ripple case - bad varname here.
pupil = fits.getdata(pupilfn)
mgsdataset = [pupilfn] # an mgsdataset starts with the pupil file...
rbump = 4.0 * float(
pupilradius) / nwaves # sigma of gaussian bump in pupil
#print("{:.1e}".format(rbump))
bump = utils.makegauss(250, ctr=(145.0, 145.0),
sigma=rbump) # D=100 pix, array 250 pix
rbump = 0.5 * float(pupilradius) / nwaves # rad of disk bump in pupil
#print("{:.1e}".format(rbump))
bump = utils.makedisk(250, radius=rbump,
ctr=(145.0, 145.0)) # D=100 pix, array 250 pix
bump = (1.0 / np.sqrt(2)) * bump / bump[pupilindex].std(
) # 0.5 variance aberration, same SR hit
ripplephase = rippleamp * bump # bad var name
phasefn = rfn + "bump_{0:d}acrossD_peak_{1:.1f}_pha.fits".format(
int(nwaves), rippleamp)
fits.PrimaryHDU(ripplephase).writeto(phasefn, overwrite=True)
mgsdataset.append(
phasefn) # an mgsdataset now pupil file, phase abberration file,
# Now create images for each defocus in the list
#
# First a utility array, parabola P2V unity over pupil, zero outside pupil
prad = pupilradius # for parabola=unity at edge of active pupil 2% < unity
center = utils.centerpoint(pupil.shape[0])
unityP2Vparabola = np.fromfunction(
utils.parabola2d, pupil.shape, cx=center[0],
cy=center[1]) / (prad * prad) * pupil
fits.writeto(rfn + "unityP2Vparabola.fits",
unityP2Vparabola,
overwrite=True) # sanity check - write it out
for defoc in defocus_list: # defoc units are waves, Peak-to-Valley
defocusphase = unityP2Vparabola * 2 * np.pi * defoc
aberfn = "pup__bump_defoc_{:.1f}wav.fits".format(defoc)
fits.writeto(rfn + aberfn, defocusphase, overwrite=True)
aberfn = rfn + "pup_bump_{0:d}acrossD_peak_{1:.1f}_defoc_{2:.1f}wav.fits".format(
int(nwaves), rippleamp, defoc)
imagfn = rfn + "__input_" + "img_bump_{0:d}acrossD_peak_{1:.1f}_defoc_{2:.1f}wav.fits".format(
int(nwaves), rippleamp, defoc)
aber = defocusphase + ripplephase
fits.writeto(aberfn, aber, overwrite=True)
imagefield = mft.perform(pupil * np.exp(1j * aber), pupil.shape[0],
pupil.shape[0])
image = (imagefield * imagefield.conj()).real
fits.writeto(imagfn, image / image.sum(), overwrite=True)
mgsdataset.append((defoc, imagfn, aberfn))
mgsdatasets.append(mgsdataset)
# Prepare a quicklook at signal in the pairs of defocussed images:
side = 2.0 # inches, quicklook at curvatue signal imshow
ndefoc = len(defocus_list) // 2
nspatfreq = len(number_of_d_across_D)
magnif = 2.0
fig = plt.figure(1, (nspatfreq * magnif, ndefoc * magnif))
grid = ImageGrid(
fig,
111, # similar to subplot(111)
nrows_ncols=(ndefoc, nspatfreq), # creates 2x2 grid of axes
axes_pad=0.02, # pad between axes in inch.
)
i = 0
iwav = 0
for nwaves in number_of_d_across_D:
ifoc = 0
maxlist = []
for defoc in defocus_list: # defoc units are waves, Peak-to-Valley
if defoc > 0:
imagfn_pos = rfn + "__input_" + "img_bump_{0:d}acrossD_peak_{1:.1f}_defoc_{2:.1f}wav.fits".format(
int(nwaves), rippleamp, defoc)
imagfn_neg = rfn + "__input_" + "img_bump_{0:d}acrossD_peak_{1:.1f}_defoc_{2:.1f}wav.fits".format(
int(nwaves), rippleamp, -defoc)
datapos = fits.getdata(imagfn_pos).flatten()
dataneg = fits.getdata(imagfn_neg).flatten()
quicklook = (datapos - dataneg[::-1]).reshape((250, 250)) * (
defoc * defoc) # normalize to equal brightness signal
maxlist.append(quicklook.max())
print("max {:.1e}".format(quicklook.max())
) # print me out and fix the limits for imshow by hand.
#fits.writeto(imagfn_pos.replace("img","qlk"), quicklook, overwrite=True)
i = iwav + (ndefoc - ifoc - 1) * nspatfreq
grid[i].imshow(
quicklook,
origin='lower',
cmap=plt.get_cmap(
'ocean'), # RdBu, gist_rainbow, ocean, none
vmin=-3.0e-3,
vmax=3.0e-3) # The AxesGrid object work as a list of axes.
grid[i].set_xticks([])
grid[i].set_yticks([])
grid[i].text(20,
220,
"D/{:d} dia bump".format(int(nwaves + 1)),
color='y',
weight='bold')
grid[i].text(20,
20,
"+/-{:d}w PV".format(int(defoc)),
color='w',
weight='bold')
#print('iwav', iwav, 'ifoc', ifoc, 'i:', i)
ifoc += 1
iwav += 1
strtop = "Wavefront signal from piston phase bumps of different diameters vs. defocus either side of focus"
strbot = "Anand S. 2019, after Dean & Bowers, JOSA A 2003 (figs. 4 & 7)"
fig.text(0.02, 0.94, strtop, fontsize=18, weight='bold')
fig.text(0.02, 0.05, strbot, fontsize=14)
plt.tight_layout()
plt.savefig("DeanBowers2003_signal_vs_defocus_bump.png",
dpi=150,
pad_inches=1.0)
plt.show()
#print("Unity P-V parabola:", arraystats(unityP2Vparabola))
"""
for dataset in mgsdatasets:
print("MGS data set: pupilfn, aber, (defoc/PVwaves, imagefn, defoc+aber), (repeats)")
for thing in dataset:
print("\t", thing)
print("")
"""
return mgsdatasets
def create_input_datafiles(rfn=None):
"""
returns: list of mgsdtasets
pupilfn: name of pupil file
Pupil and image data, true (zero mean) phase map (rad)
No de-tilting of the thase done.
Didactic case, no input parameters: create the pupil & monochromatic image
on appropriate pixel scales.
Pupil and image arrays of same size, ready to FT into each
other losslessly. For real data you'll need to worry about adjusting
sizes to satify this sampling relation between the two planes.
For finite bandwidth data image simulation will loop over wavelengths.
For coarsely sampled pixels image simulation will need to use finer
sampling and rebin to detector pixel sizes.
[email protected] Jan 2019
"""
mft = matrixDFT.MatrixFourierTransform()
pupilradius = 50
pupil = utils.makedisk(250, radius=pupilradius) # D=100 pix, array 250 pix
pupilfn = rfn + "__input_pup.fits"
fits.writeto(pupilfn, pupil, overwrite=True)
mgsdatasets = []
dfoc_max = 12
nfoci = 8 # number of defocus steps, in geo prog
ffac = pow(10, np.log10(dfoc_max) / nfoci)
defocus_list = []
for i in range(nfoci):
defocus_list.append(ffac)
defocus_list.append(-ffac)
ffac *= pow(10, np.log10(dfoc_max) / nfoci)
defocus_list.reverse()
defocus_list = (-12.0, 12.0, -10.0, 10.0, -8.0, 8.0, -6.0, 6.0, -4.0, 4.0,
-2.0, 2.0)
print(defocus_list)
number_of_waves_across_D = range(
1, 16) # different aberrations - number of waves across pupil
print(number_of_waves_across_D)
rippleamp = 1.0 # radians, 1/6.3 waves, about 340nm at 2.12 micron
ripplepha = 30.0 # degrees, just for fun
rippleangle = 15.0 # degrees
# for a variety of ripples across the pupil:
for nwaves in number_of_waves_across_D:
pupil = fits.getdata(pupilfn)
mgsdataset = [pupilfn] # an mgsdataset starts with the pupil file...
spatialwavelen = 2.0 * pupilradius / nwaves
khat = np.array((np.sin(rippleangle * np.pi / 180.0),
np.cos(rippleangle * np.pi / 180.0))) # unit vector
kwavedata = np.fromfunction(utils.kwave2d,
pupil.shape,
spatialwavelen=spatialwavelen,
center=utils.centerpoint(pupil.shape[0]),
offset=ripplepha,
khat=khat)
ripplephase = pupil * rippleamp * kwavedata
#imagefield = ft.perform(pupilarray, fp_size_reselt, npup) # remove this
#image_intensity = (imagefield*imagefield.conj()).real # remove this
#psf = image_intensity / image_intensity.sum() # total intensity unity # remove this
phasefn = rfn + "ripple_{0:d}acrossD_peak_{1:.1f}_pha.fits".format(
int(nwaves), rippleamp)
fits.PrimaryHDU(ripplephase).writeto(phasefn, overwrite=True)
mgsdataset.append(
phasefn) # an mgsdataset now pupil file, phase abberration file,
# Now create images for each defocus in the list
#
# First a utility array, parabola P2V unity over pupil, zero outside pupil
prad = pupilradius # for parabola=unity at edge of active pupil 2% < unity
center = utils.centerpoint(pupil.shape[0])
unityP2Vparabola = np.fromfunction(
utils.parabola2d, pupil.shape, cx=center[0],
cy=center[1]) / (prad * prad) * pupil
fits.writeto(rfn + "unityP2Vparabola.fits",
unityP2Vparabola,
overwrite=True) # sanity check - write it out
for defoc in defocus_list: # defoc units are waves, Peak-to-Valley
defocusphase = unityP2Vparabola * 2 * np.pi * defoc
aberfn = "pup_defoc_{:.1f}wav.fits".format(defoc)
fits.writeto(rfn + aberfn, defocusphase, overwrite=True)
aberfn = rfn + "pup_ripple_{0:d}acrossD_peak_{1:.1f}_defoc_{2:.1f}wav.fits".format(
int(nwaves), rippleamp, defoc)
imagfn = rfn + "__input_" + "img_ripple_{0:d}acrossD_peak_{1:.1f}_defoc_{2:.1f}wav.fits".format(
int(nwaves), rippleamp, defoc)
aber = defocusphase + ripplephase
#fits.writeto(aberfn, aber, overwrite=True)
imagefield = mft.perform(pupil * np.exp(1j * aber), pupil.shape[0],
pupil.shape[0])
image = (imagefield * imagefield.conj()).real
fits.writeto(imagfn, image / image.sum(), overwrite=True)
mgsdataset.append((defoc, imagfn, aberfn))
mgsdatasets.append(mgsdataset)
"""
phase = de_mean(phase, pupil) # zero mean phase - doesn't change image
fits.writeto(rfn+"{:1d}__input_truepha.fits".format(pnum), phase, overwrite=True)
mft = matrixDFT.MatrixFourierTransform()
imagefield = mft.perform(pupil * np.exp(1j*phase), pupil.shape[0], pupil.shape[0])
image = (imagefield*imagefield.conj()).real
fits.writeto(rfn+"{:1d}__input_img.fits".format(pnum), image/image.sum(), overwrite=True)
del mft
"""
# Prepare a quicklook at signal in the pairs of defocussed images:
side = 2.0 # inches, quicklook at curvatue signal imshow
ndefoc = len(defocus_list) // 2
nspatfreq = len(number_of_waves_across_D)
magnif = 2.0
fig = plt.figure(1, (nspatfreq * magnif, ndefoc * magnif))
grid = ImageGrid(
fig,
111, # similar to subplot(111)
nrows_ncols=(ndefoc, nspatfreq), # creates 2x2 grid of axes
axes_pad=0.02, # pad between axes in inch.
)
i = 0
iwav = 0
for nwaves in number_of_waves_across_D:
ifoc = 0
maxlist = []
for defoc in defocus_list: # defoc units are waves, Peak-to-Valley
if defoc > 0:
imagfn_pos = rfn + "__input_" + "img_ripple_{0:d}acrossD_peak_{1:.1f}_defoc_{2:.1f}wav.fits".format(
int(nwaves), rippleamp, defoc)
imagfn_neg = rfn + "__input_" + "img_ripple_{0:d}acrossD_peak_{1:.1f}_defoc_{2:.1f}wav.fits".format(
int(nwaves), rippleamp, -defoc)
datapos = fits.getdata(imagfn_pos).flatten()
dataneg = fits.getdata(imagfn_neg).flatten()
quicklook = (datapos - dataneg[::-1]).reshape((250, 250)) * (
defoc * defoc) # normalize to equal brightness signal
maxlist.append(quicklook.max())
#print("max {:.1e}".format(quicklook.max()))
#fits.writeto(imagfn_pos.replace("img","qlk"), quicklook, overwrite=True)
i = iwav + (ndefoc - ifoc - 1) * nspatfreq
grid[i].imshow(
quicklook,
origin='lower',
cmap=plt.get_cmap(
'ocean'), # RdBu, gist_rainbow, ocean, none
vmin=-1.3e-2,
vmax=1.3e-2) # The AxesGrid object work as a list of axes.
grid[i].set_xticks([])
grid[i].set_yticks([])
grid[i].text(20,
220,
"{:d} ripples ax D".format(int(nwaves)),
color='y',
weight='bold')
grid[i].text(20,
20,
"+/-{:d}w PV".format(int(defoc)),
color='w',
weight='bold')
ifoc += 1
iwav += 1
strtop = "Wavefront signal from phase ripples across the pupil vs. defocus either side of focus"
strbot = "Anand S. 2019, illustrating Dean & Bowers, JOSA A 2003 (figs. 4 & 7)"
fig.text(0.02, 0.94, strtop, fontsize=18, weight='bold')
fig.text(0.02, 0.05, strbot, fontsize=14)
plt.tight_layout()
plt.savefig("DeanBowers2003_signal_vs_defocus_ripple.pdf",
dpi=150,
pad_inches=1.0)
plt.show()
#print("Unity P-V parabola:", arraystats(unityP2Vparabola))
"""
for dataset in mgsdatasets:
print("MGS data set: pupilfn, aber, (defoc/PVwaves, imagefn, defoc+aber), (repeats)")
for thing in dataset:
print("\t", thing)
print("")
"""
return mgsdatasets
def exer6(odir):
""" Coronagraph train, no optimization for speed.
2nd order BLC, didactic example, fftlike """
# instantiate an mft object:
ft = matrixDFT.MatrixFourierTransform()
npup = 250 # Size of all arrays
radius = 50.0
# Numerical reselts in DFT setup cf telescope reselts:
# reselts of telescope - here its 0.4 reselts per DFT output image pixel if npup=250,radius=50.
dftpixel = 2.0 * radius / npup
# Jinc first zero in reselts of telescope...
firstzero_optical_reselts = 10.0
firstzero_numericalpixels = firstzero_optical_reselts / dftpixel
print("Jinc firstzero_numericalpixels", firstzero_numericalpixels)
jinc = np.fromfunction(utils.Jinc, (npup,npup),
c=utils.centerpoint(npup),
scale=firstzero_numericalpixels)
fpm_blc2ndorder = 1 - jinc*jinc
print("Jinc fpm min = ", fpm_blc2ndorder.min(),
"Jinc fpm max = ", fpm_blc2ndorder.max())
# Pupil, Pupilphase, Apodizer, FP intensity, Intensity after FPM,
# Lyot intensity, Lyot Stop, Post-Lyot Stop Intensity, Final image.
#
# Set up optical train for a typical Lyot style or phase mask coronagraph:
Cordict = {
"Pupil": utils.makedisk(npup, radius=radius),
"Pupilphase": None,
"Apodizer": None,
"FPintensity": None,
"FPM": fpm_blc2ndorder,
"LyotIntensity": None,
"LyotStop": utils.makedisk(npup, radius=41),
"PostLyotStopIntensity": None,
"FinalImage": None,
"ContrastImage": None}
# Propagate through the coronagraph train...
# Start with perfect incoming plane wave, no aberrations
efield = Cordict["Pupil"]
# Put in phase aberrations:
if Cordict["Pupilphase"] is not None:
efield *= np.exp(1j*Cordict["Pupilphase"])
# Apodize the entrance pupil:
if Cordict["Apodizer"] is not None:
efield *= Cordict["Apodizer"]
# PROPAGATE TO FIRST FOCAL PLANE:
efield = ft.perform(efield, npup, npup)
# Store FPM intensity:
Cordict["FPintensity"] = (efield * efield.conj()).real
# Save no-Cor efield for normalization of cor image by peak of no-FPM image
efield_NC = efield.copy()
# Multiply by FPM transmission function
# Lyot style - zero in center, phase mask style: zero integral over domain
efield *= Cordict["FPM"]
# PROPAGATE TO LYOT PLANE:
efield_NC = ft.perform(efield_NC, npup, npup)
efield = ft.perform(efield, npup, npup)
# Save Cor Lyot intensity;
Cordict["LyotIntensity"] = (efield * efield.conj()).real
# Apply Lyot stop:
if Cordict["LyotStop"] is not None: efield_NC *= Cordict["LyotStop"]
if Cordict["LyotStop"] is not None: efield *= Cordict["LyotStop"]
# Save Cor Lyot intensity after applying Lyot stop;
Cordict["PostLyotStopIntensity"] = (efield * efield.conj()).real
# PROPAGATE TO FINAL IMAGE PLANE:
efield_NC = ft.perform(efield_NC, npup, npup)
efield = ft.perform(efield, npup, npup)
final_image_intensity_NC = (efield_NC * efield_NC.conj()).real
final_image_intensity = (efield * efield.conj()).real
Cordict["FinalImage"] = (efield * efield.conj()).real
Cordict["ContrastImage"] = (efield * efield.conj()).real / final_image_intensity_NC.max()
# Write our coronagraph planes:
planenames, cube = corcube(Cordict)
# write planemames as fits keywords
print(odir+"/ex6_BLC_2ndOrder.fits")
fits.PrimaryHDU(cube).writeto(odir+"/ex6_BLC_2ndOrder.fits", overwrite=True)
fobj = fits.open(odir+"/ex6_BLC_2ndOrder.fits")
fobj[0].header["Pupil"] = 1
fobj[0].header["FPI"] = (2, "focal plane Intensity")
fobj[0].header["FPM"] = (3, "focal plane mask")
fobj[0].header["LyotIntn"] = (4, "Lyot Intensity")
fobj[0].header["LyotStop"] = 5
fobj[0].header["PostLyot"] = (6, "Post Lyot Stop Intensity")
fobj[0].header["CorIm"] = (7, "Raw cor image")
fobj[0].header["Contrast"] = (8, "Cor image in contrast units")
fobj.writeto(odir+"/ex6_BLC_2ndOrder.fits", overwrite=True)