def get_wcs(dither_i, sca, filter_, stamp_size, random_angle):
dither_i = dither_i
sca = sca
filter_ = filter_
bpass = wfirst.getBandpasses(AB_zeropoint=True)[filter_]
d = fio.FITS('observing_sequence_hlsonly_5yr.fits')[-1][dither_i]
ra = d['ra'] * np.pi / 180. # RA of pointing
dec = d['dec'] * np.pi / 180. # Dec of pointing
#pa = d['pa'] * np.pi / 180. # Position angle of pointing
date = Time(d['date'], format='mjd').datetime
#random_dir = galsim.UniformDeviate(314)
#pa = math.pi * random_dir()
pa = random_angle * np.pi / 180.
WCS = wfirst.getWCS(world_pos = galsim.CelestialCoord(ra=ra*galsim.radians, \
dec=dec*galsim.radians),
PA = pa*galsim.radians,
date = date,
SCAs = sca,
PA_is_FPA = True
)[sca]
sky_level = wfirst.getSkyLevel(bpass,
world_pos=WCS.toWorld(
galsim.PositionI(
old_div(wfirst.n_pix, 2),
old_div(wfirst.n_pix, 2))),
date=date)
sky_level *= (1.0 + wfirst.stray_light_fraction) * (
wfirst.pixel_scale)**2 # adds stray light and converts to photons/cm^2
sky_level *= stamp_size * stamp_size
return WCS, sky_level
def main(argv):
# Where to find and output data.
path, filename = os.path.split(__file__)
outpath = os.path.abspath(os.path.join(path, "output/"))
# Just use a few galaxies, to save time. Note that we are going to put 4000 galaxy images into
# our big image, so if we have n_use=10, each galaxy will appear 400 times. Users who want a
# more interesting image with greater variation in the galaxy population can change `n_use` to
# something larger (but it should be <=100, the number of galaxies in this small example
# catalog). With 4000 galaxies in a 4k x 4k image with the WFIRST pixel scale, the effective
# galaxy number density is 74/arcmin^2. This is not the number density that is expected for a
# sample that is so bright (I<23.5) but it makes the image more visually interesting. One could
# think of it as what you'd get if you added up several images at once, making the images for a
# sample that is much deeper have the same S/N as that for an I<23.5 sample in a single image.
n_use = 10
n_tot = 4000
# Default is to use all filters. Specify e.g. 'YJH' to only do Y106, J129, and H158.
use_filters = None
# quick and dirty command line parsing.
for var in argv:
if var.startswith('data='): datapath = var[5:]
if var.startswith('out='): outpath = var[4:]
if var.startswith('nuse='): n_use = int(var[5:])
if var.startswith('ntot='): n_tot = int(var[5:])
if var.startswith('filters='): use_filters = var[8:].upper()
# Make output directory if not already present.
if not os.path.isdir(outpath):
os.mkdir(outpath)
# In non-script code, use getLogger(__name__) at module scope instead.
logging.basicConfig(format="%(message)s", level=logging.INFO, stream=sys.stdout)
logger = logging.getLogger("demo13")
# Initialize (pseudo-)random number generator.
random_seed = 123456
rng = galsim.BaseDeviate(random_seed)
# Generate a Poisson noise model.
poisson_noise = galsim.PoissonNoise(rng)
logger.info('Poisson noise model created.')
# Read in the WFIRST filters, setting an AB zeropoint appropriate for this telescope given its
# diameter and (since we didn't use any keyword arguments to modify this) using the typical
# exposure time for WFIRST images. By default, this routine truncates the parts of the
# bandpasses that are near 0 at the edges, and thins them by the default amount.
filters = wfirst.getBandpasses(AB_zeropoint=True)
logger.debug('Read in WFIRST imaging filters.')
logger.info('Reading from a parametric COSMOS catalog.')
# Read in a galaxy catalog - just a random subsample of 100 galaxies for F814W<23.5 from COSMOS.
cat_file_name = 'real_galaxy_catalog_23.5_example_fits.fits'
dir = 'data'
# Use the routine that can take COSMOS real or parametric galaxy information, and tell it we
# want parametric galaxies that represent an I<23.5 sample.
cat = galsim.COSMOSCatalog(cat_file_name, dir=dir, use_real=False)
logger.info('Read in %d galaxies from catalog'%cat.nobjects)
# Here we carry out the initial steps that are necessary to get a fully chromatic PSF. We use
# the getPSF() routine in the WFIRST module, which knows all about the telescope parameters
# (diameter, bandpasses, obscuration, etc.). Note that we arbitrarily choose a single SCA
# (Sensor Chip Assembly) rather than all of them, for faster calculations, and use a simple
# representation of the struts for faster calculations. To do a more exact calculation of the
# chromaticity and pupil plane configuration, remove the `approximate_struts` and the `n_waves`
# keyword from the call to getPSF():
use_SCA = 7 # This could be any number from 1...18
logger.info('Doing expensive pre-computation of PSF.')
t1 = time.time()
logger.setLevel(logging.DEBUG)
# Need to make a separate PSF for each filter. We are, however, ignoring the
# position-dependence of the PSF within each SCA, just using the PSF at the center of the SCA
# (default kwargs).
PSFs = {}
for filter_name, filter_ in filters.items():
logger.info('PSF pre-computation for SCA %d, filter %s.'%(use_SCA, filter_name))
PSFs[filter_name] = wfirst.getPSF(use_SCA, filter_name,
approximate_struts=True, n_waves=10, logger=logger)
logger.setLevel(logging.INFO)
t2 = time.time()
logger.info('Done PSF precomputation in %.1f seconds!'%(t2-t1))
# Define the size of the postage stamp that we use for each individual galaxy within the larger
# image, and for the PSF images.
stamp_size = 256
# We choose a particular (RA, dec) location on the sky for our observation.
ra_targ = 90.*galsim.degrees
dec_targ = -10.*galsim.degrees
targ_pos = galsim.CelestialCoord(ra=ra_targ, dec=dec_targ)
# Get the WCS for an observation at this position. We are not supplying a date, so the routine
# will assume it's the vernal equinox. We are also not supplying a position angle for the
# observatory, which means that it will just find the optimal one (the one that has the solar
# panels pointed most directly towards the Sun given this targ_pos and date). The output of
# this routine is a dict of WCS objects, one for each SCA. We then take the WCS for the SCA
# that we are using.
wcs_list = wfirst.getWCS(world_pos=targ_pos, SCAs=use_SCA)
wcs = wcs_list[use_SCA]
# We need to find the center position for this SCA. We'll tell it to give us a CelestialCoord
# corresponding to (X, Y) = (wfirst.n_pix/2, wfirst.n_pix/2).
SCA_cent_pos = wcs.toWorld(galsim.PositionD(wfirst.n_pix/2, wfirst.n_pix/2))
# We randomly distribute points in (X, Y) on the CCD.
# If we had a real galaxy catalog with positions in terms of RA, dec we could use wcs.toImage()
# to find where those objects should be in terms of (X, Y).
pos_rng = galsim.UniformDeviate(random_seed)
# Make a list of (X, Y, F814W magnitude, n_rot, flip) values.
# (X, Y) give the position of the galaxy centroid (or the center of the postage stamp into which
# we draw the galaxy) in the big image.
# F814W magnitudes are randomly drawn from the catalog, and are used to create a more realistic
# flux distribution for the galaxies instead of just having the 10 flux values for the galaxies
# we have chosen to draw.
# n_rot says how many 90 degree rotations to include for a given realization of each galaxy, so
# it doesn't appear completely identical each time we put it in the image.
# flip is a random number that will determine whether we include an x-y flip for this appearance
# of the galaxy or not.
x_stamp = []
y_stamp = []
mag_stamp = []
n_rot_stamp = []
flip_stamp = []
for i_gal in range(n_tot):
x_stamp.append(pos_rng()*wfirst.n_pix)
y_stamp.append(pos_rng()*wfirst.n_pix)
# Note that we could use wcs.toWorld() to get the (RA, dec) for these (x, y) positions. Or,
# if we had started with (RA, dec) positions, we could have used wcs.toImage() to get the
# CCD coordinates for those positions.
mag_stamp.append(cat.param_cat['mag_auto'][int(pos_rng()*cat.nobjects)])
n_rot_stamp.append(int(4*pos_rng()))
flip_stamp.append(pos_rng())
# Make the 2-component parametric GSObjects for each object, including chromaticity (roughly
# appropriate SEDs per galaxy component, at the appropriate galaxy redshift). Note that since
# the PSF is position-independent within the SCA, we can simply do the convolution with that PSF
# now instead of using a different one for each position. We also have to include the correct
# flux scaling: The catalog returns objects that would be observed by HST in 1 second
# exposures. So for our telescope we scale up by the relative area and exposure time. Note that
# what is important is the *effective* area after taking into account obscuration.
logger.info('Processing the objects in the catalog to get GSObject representations')
# Choose a random set of unique indices in the catalog (will be the same each time script is
# run, due to use of the same random seed):
rand_indices = []
while len(rand_indices)<n_use:
tmp_ind = int(pos_rng()*cat.nobjects)
if tmp_ind not in rand_indices:
rand_indices.append(tmp_ind)
obj_list = cat.makeGalaxy(rand_indices, chromatic=True, gal_type='parametric')
hst_eff_area = 2.4**2 * (1.-0.33**2)
wfirst_eff_area = galsim.wfirst.diameter**2 * (1.-galsim.wfirst.obscuration**2)
flux_scaling = (wfirst_eff_area/hst_eff_area) * wfirst.exptime
mag_list = []
for ind in range(len(obj_list)):
# First, let's check what magnitude this object has in F814W. We want to do this because
# (to inject some variety into our images) we are going to rescale the fluxes in all bands
# for different instances of this galaxy in the final image in order to get a reasonable S/N
# distribution. So we need to save the original magnitude in F814W, to compare with a
# randomly drawn one from the catalog. This is not something that most users would need to
# do.
mag_list.append(cat.param_cat['mag_auto'][cat.orig_index[rand_indices[ind]]])
# Calculate the sky level for each filter, and draw the PSF and the galaxies through the
# filters.
for filter_name, filter_ in filters.items():
if use_filters is not None and filter_name[0] not in use_filters:
logger.info('Skipping filter {0}.'.format(filter_name))
continue
logger.info('Beginning work for {0}.'.format(filter_name))
# Drawing PSF. Note that the PSF object intrinsically has a flat SED, so if we convolve it
# with a galaxy, it will properly take on the SED of the galaxy. For the sake of this demo,
# we will simply convolve with a 'star' that has a flat SED and unit flux in this band, so
# that the PSF image will be normalized to unit flux. This does mean that the PSF image
# being drawn here is not quite the right PSF for the galaxy. Indeed, the PSF for the
# galaxy effectively varies within it, since it differs for the bulge and the disk. To make
# a real image, one would have to choose SEDs for stars and convolve with a star that has a
# reasonable SED, but we just draw with a flat SED for this demo.
out_filename = os.path.join(outpath, 'demo13_PSF_{0}.fits'.format(filter_name))
# Generate a point source.
point = galsim.DeltaFunction(flux=1.)
# Use a flat SED here, but could use something else. A stellar SED for instance.
# Or a typical galaxy SED. Depending on your purpose for drawing the PSF.
star_sed = galsim.SED(lambda x:1, 'nm', 'flambda').withFlux(1.,filter_) # Give it unit flux in this filter.
star = galsim.Convolve(point*star_sed, PSFs[filter_name])
img_psf = galsim.ImageF(64,64)
star.drawImage(bandpass=filter_, image=img_psf, scale=wfirst.pixel_scale)
img_psf.write(out_filename)
logger.debug('Created PSF with flat SED for {0}-band'.format(filter_name))
# Set up the full image that will contain all the individual galaxy images, with information
# about WCS:
final_image = galsim.ImageF(wfirst.n_pix,wfirst.n_pix, wcs=wcs)
# Draw the galaxies into the image.
for i_gal in range(n_use):
logger.info('Drawing image for the object at row %d in the input catalog'%i_gal)
# We want to only draw the galaxy once (for speed), not over and over with different
# sub-pixel offsets. For this reason we ignore the sub-pixel offset entirely. Note
# that we are setting the postage stamp to have the average WFIRST pixel scale. This is
# simply an approximation for the purpose of speed; really, one should draw directly
# into final_image, which has the appropriate WCS for WFIRST. In that case, the image
# of the galaxy might look different in different parts of the detector due to the WCS
# (including distortion), and we would have to re-draw each time. To keep the demo
# relatively quick, we are just using the approximate average pixel scale and drawing
# once.
stamp = galsim.Image(stamp_size, stamp_size, scale=wfirst.pixel_scale)
# Convolve the chromatic galaxy and the chromatic PSF for this bandpass, and rescale flux.
final = galsim.Convolve(flux_scaling*obj_list[ind], PSFs[filter_name])
final.drawImage(filter_, image=stamp)
# Have to find where to place it:
for i_gal_use in range(i_gal*n_tot//n_use, (i_gal+1)*n_tot//n_use):
# Account for the fractional part of the position:
ix = int(math.floor(x_stamp[i_gal_use]+0.5))
iy = int(math.floor(y_stamp[i_gal_use]+0.5))
# We don't actually use this offset.
offset = galsim.PositionD(x_stamp[i_gal]-ix, y_stamp[i_gal]-iy)
# Create a nominal bound for the postage stamp given the integer part of the
# position.
stamp_bounds = galsim.BoundsI(ix-0.5*stamp_size, ix+0.5*stamp_size-1,
iy-0.5*stamp_size, iy+0.5*stamp_size-1)
# Find the overlapping bounds between the large image and the individual postage
# stamp.
bounds = stamp_bounds & final_image.bounds
# Just to inject a bit of variety into the image, so it isn't *quite* as obvious
# that we've repeated the same 10 objects over and over, we randomly rotate the
# postage stamp by some factor of 90 degrees and possibly include a random flip.
if flip_stamp[i_gal_use] > 0.5:
new_arr = numpy.ascontiguousarray(
numpy.rot90(stamp.array, n_rot_stamp[i_gal_use]))
else:
new_arr = numpy.ascontiguousarray(
numpy.fliplr(numpy.rot90(stamp.array, n_rot_stamp[i_gal_use])))
stamp_rot = galsim.Image(new_arr, scale=stamp.scale)
stamp_rot.setOrigin(galsim.PositionI(stamp_bounds.xmin, stamp_bounds.ymin))
# Rescale the flux to match that of a randomly chosen galaxy in the galaxy, but
# keeping the same SED as for this particular galaxy. This gives a bit more
# variety in the flux values and SNR of the galaxies in the image without having
# to render images of many more objects.
flux_scaling = 10**(-0.4*(mag_stamp[i_gal_use]-mag_list[i_gal]))
# Copy the image into the right place in the big image.
final_image[bounds] += flux_scaling * stamp_rot[bounds]
# Now we're done with the per-galaxy drawing for this image. The rest will be done for the
# entire image at once.
logger.info('Postage stamps of all galaxies drawn on a single big image for this filter.')
logger.info('Adding the sky level, noise and detector non-idealities.')
# First we get the amount of zodaical light for a position corresponding to the center of
# this SCA. The results are provided in units of e-/arcsec^2, using the default WFIRST
# exposure time since we did not explicitly specify one. Then we multiply this by a factor
# >1 to account for the amount of stray light that is expected. If we do not provide a date
# for the observation, then it will assume that it's the vernal equinox (sun at (0,0) in
# ecliptic coordinates) in 2025.
sky_level = wfirst.getSkyLevel(filters[filter_name], world_pos=SCA_cent_pos)
sky_level *= (1.0 + wfirst.stray_light_fraction)
# Make a image of the sky that takes into account the spatially variable pixel scale. Note
# that makeSkyImage() takes a bit of time. If you do not care about the variable pixel
# scale, you could simply compute an approximate sky level in e-/pix by multiplying
# sky_level by wfirst.pixel_scale**2, and add that to final_image.
sky_image = final_image.copy()
wcs.makeSkyImage(sky_image, sky_level)
# This image is in units of e-/pix. Finally we add the expected thermal backgrounds in this
# band. These are provided in e-/pix/s, so we have to multiply by the exposure time.
sky_image += wfirst.thermal_backgrounds[filter_name]*wfirst.exptime
# Adding sky level to the image.
final_image += sky_image
# Now that all sources of signal (from astronomical objects and background) have been added
# to the image, we can start adding noise and detector effects. There is a utility,
# galsim.wfirst.allDetectorEffects(), that can apply ALL implemented noise and detector
# effects in the proper order. Here we step through the process and explain these in a bit
# more detail without using that utility.
# First, we include the expected Poisson noise:
final_image.addNoise(poisson_noise)
# The subsequent steps account for the non-ideality of the detectors.
# 1) Reciprocity failure:
# Reciprocity, in the context of photography, is the inverse relationship between the
# incident flux (I) of a source object and the exposure time (t) required to produce a given
# response(p) in the detector, i.e., p = I*t. However, in NIR detectors, this relation does
# not hold always. The pixel response to a high flux is larger than its response to a low
# flux. This flux-dependent non-linearity is known as 'reciprocity failure', and the
# approximate amount of reciprocity failure for the WFIRST detectors is known, so we can
# include this detector effect in our images.
if diff_mode:
# Save the image before applying the transformation to see the difference
save_image = final_image.copy()
# If we had wanted to, we could have specified a different exposure time than the default
# one for WFIRST, but otherwise the following routine does not take any arguments.
wfirst.addReciprocityFailure(final_image)
logger.debug('Included reciprocity failure in {0}-band image'.format(filter_name))
if diff_mode:
# Isolate the changes due to reciprocity failure.
diff = final_image-save_image
out_filename = os.path.join(outpath,'demo13_RecipFail_{0}.fits'.format(filter_name))
final_image.write(out_filename)
out_filename = os.path.join(outpath,
'demo13_diff_RecipFail_{0}.fits'.format(filter_name))
diff.write(out_filename)
# At this point in the image generation process, an integer number of photons gets
# detected, hence we have to round the pixel values to integers:
final_image.quantize()
# 2) Adding dark current to the image:
# Even when the detector is unexposed to any radiation, the electron-hole pairs that
# are generated within the depletion region due to finite temperature are swept by the
# high electric field at the junction of the photodiode. This small reverse bias
# leakage current is referred to as 'dark current'. It is specified by the average
# number of electrons reaching the detectors per unit time and has an associated
# Poisson noise since it is a random event.
dark_current = wfirst.dark_current*wfirst.exptime
dark_noise = galsim.DeviateNoise(galsim.PoissonDeviate(rng, dark_current))
final_image.addNoise(dark_noise)
# NOTE: Sky level and dark current might appear like a constant background that can be
# simply subtracted. However, these contribute to the shot noise and matter for the
# non-linear effects that follow. Hence, these must be included at this stage of the
# image generation process. We subtract these backgrounds in the end.
# 3) Applying a quadratic non-linearity:
# In order to convert the units from electrons to ADU, we must use the gain factor. The gain
# has a weak dependency on the charge present in each pixel. This dependency is accounted
# for by changing the pixel values (in electrons) and applying a constant nominal gain
# later, which is unity in our demo.
# Save the image before applying the transformation to see the difference:
if diff_mode:
save_image = final_image.copy()
# Apply the WFIRST nonlinearity routine, which knows all about the nonlinearity expected in
# the WFIRST detectors.
wfirst.applyNonlinearity(final_image)
# Note that users who wish to apply some other nonlinearity function (perhaps for other NIR
# detectors, or for CCDs) can use the more general nonlinearity routine, which uses the
# following syntax:
# final_image.applyNonlinearity(NLfunc=NLfunc)
# with NLfunc being a callable function that specifies how the output image pixel values
# should relate to the input ones.
logger.debug('Applied nonlinearity to {0}-band image'.format(filter_name))
if diff_mode:
diff = final_image-save_image
out_filename = os.path.join(outpath,'demo13_NL_{0}.fits'.format(filter_name))
final_image.write(out_filename)
out_filename = os.path.join(outpath,'demo13_diff_NL_{0}.fits'.format(filter_name))
diff.write(out_filename)
# Save this image to do the diff after applying IPC.
save_image = final_image.copy()
# 4) Including Interpixel capacitance:
# The voltage read at a given pixel location is influenced by the charges present in the
# neighboring pixel locations due to capacitive coupling of sense nodes. This interpixel
# capacitance effect is modeled as a linear effect that is described as a convolution of a
# 3x3 kernel with the image. The WFIRST IPC routine knows about the kernel already, so the
# user does not have to supply it.
wfirst.applyIPC(final_image)
logger.debug('Applied interpixel capacitance to {0}-band image'.format(filter_name))
if diff_mode:
# Isolate the changes due to the interpixel capacitance effect.
diff = final_image-save_image
out_filename = os.path.join(outpath,'demo13_IPC_{0}.fits'.format(filter_name))
final_image.write(out_filename)
out_filename = os.path.join(outpath,'demo13_diff_IPC_{0}.fits'.format(filter_name))
diff.write(out_filename)
# 5) Adding read noise:
# Read noise is the noise due to the on-chip amplifier that converts the charge into an
# analog voltage. We already applied the Poisson noise due to the sky level, so read noise
# should just be added as Gaussian noise:
read_noise = galsim.GaussianNoise(rng, sigma=wfirst.read_noise)
final_image.addNoise(read_noise)
logger.debug('Added readnoise to {0}-band image'.format(filter_name))
# We divide by the gain to convert from e- to ADU. Currently, the gain value in the WFIRST
# module is just set to 1, since we don't know what the exact gain will be, although it is
# expected to be approximately 1. Eventually, this may change when the camera is assembled,
# and there may be a different value for each SCA. For now, there is just a single number,
# which is equal to 1.
final_image /= wfirst.gain
# Finally, the analog-to-digital converter reads in an integer value.
final_image.quantize()
# Note that the image type after this step is still a float. If we want to actually
# get integer values, we can do new_img = galsim.Image(final_image, dtype=int)
# Since many people are used to viewing background-subtracted images, we provide a
# version with the background subtracted (also rounding that to an int).
sky_image.quantize()
tot_sky_image = (sky_image + round(dark_current))/wfirst.gain
tot_sky_image.quantize()
final_image -= tot_sky_image
logger.debug('Subtracted background for {0}-band image'.format(filter_name))
# Write the final image to a file.
out_filename = os.path.join(outpath,'demo13_{0}.fits'.format(filter_name))
final_image.write(out_filename)
logger.info('Completed {0}-band image.'.format(filter_name))
logger.info('You can display the output in ds9 with a command line that looks something like:')
logger.info('ds9 -zoom 0.5 -scale limits -500 1000 -rgb '+
'-red output/demo13_H158.fits '+
'-green output/demo13_J129.fits '+
'-blue output/demo13_Y106.fits')
def main(argv):
# Where to find and output data.
path, filename = os.path.split(__file__)
datapath = os.path.abspath(os.path.join(path, "data/"))
outpath = os.path.abspath(os.path.join(path, "output/"))
# In non-script code, use getLogger(__name__) at module scope instead.
logging.basicConfig(format="%(message)s", level=logging.INFO, stream=sys.stdout)
logger = logging.getLogger("demo13")
# Initialize (pseudo-)random number generator.
random_seed = 123456
rng = galsim.BaseDeviate(random_seed)
# Generate a Poisson noise model.
poisson_noise = galsim.PoissonNoise(rng)
logger.info('Poisson noise model created.')
# Read in the WFIRST filters, setting an AB zeropoint appropriate for this telescope given its
# diameter and (since we didn't use any keyword arguments to modify this) using the typical
# exposure time for WFIRST images.
filters = wfirst.getBandpasses(AB_zeropoint=True)
logger.debug('Read in WFIRST imaging filters.')
logger.info('Reading from a parametric COSMOS catalog.')
# Read in a galaxy catalog - just a random subsample of 100 galaxies for F814W<23.5 from COSMOS.
cat_file_name = 'real_galaxy_catalog_example_fits.fits'
dir = 'data'
# Use the routine that can take COSMOS real or parametric galaxy information, and tell it we
# want parametric galaxies that represent an I<23.5 sample.
cat = galsim.COSMOSCatalog(cat_file_name, dir=dir, use_real=False)
logger.info('Read in %d galaxies from catalog'%cat.nobjects)
# Just use a few galaxies, to save time. Note that we are going to put 4000 galaxy images into
# our big image, so if we have n_use=10, each galaxy will appear 400 times. Users who want a
# more interesting image with greater variation in the galaxy population can change `n_use` to
# something larger (but it should be <=100, the number of galaxies in this small example
# catalog). With 4000 galaxies in a 4k x 4k image with the WFIRST pixel scale, the effective
# galaxy number density is 74/arcmin^2. This is not the number density that is expected for a
# sample that is so bright (I<23.5) but it makes the image more visually interesting. One could
# think of it as what you'd get if you added up several images at once, making the images for a
# sample that is much deeper have the same S/N as that for an I<23.5 sample in a single image.
n_use = 10
n_tot = 4000
# Here we carry out the initial steps that are necessary to get a fully chromatic PSF. We use
# the getPSF() routine in the WFIRST module, which knows all about the telescope parameters
# (diameter, bandpasses, obscuration, etc.). Note that we arbitrarily choose a single SCA
# (Sensor Chip Assembly) rather than all of them, for faster calculations, and use a simple
# representation of the struts for faster calculations. To do a more exact calculation of the
# chromaticity and pupil plane configuration, remove the `approximate_struts` and the `n_waves`
# keyword from the call to getPSF():
use_SCA = 7 # This could be any number from 1...18
logger.info('Doing expensive pre-computation of PSF.')
t1 = time.time()
logger.setLevel(logging.DEBUG)
PSFs = wfirst.getPSF(SCAs=use_SCA, approximate_struts=True, n_waves=10, logger=logger)
logger.setLevel(logging.INFO)
PSF = PSFs[use_SCA]
t2 = time.time()
logger.info('Done PSF precomputation in %.1f seconds!'%(t2-t1))
# Define the size of the postage stamp that we use for each individual galaxy within the larger
# image, and for the PSF images.
stamp_size = 256
# We choose a particular (RA, dec) location on the sky for our observation.
ra_targ = 90.*galsim.degrees
dec_targ = -10.*galsim.degrees
targ_pos = galsim.CelestialCoord(ra=ra_targ, dec=dec_targ)
# Get the WCS for an observation at this position. We are not supplying a date, so the routine
# will assume it's the vernal equinox. We are also not supplying a position angle for the
# observatory, which means that it will just find the optimal one (the one that has the solar
# panels pointed most directly towards the Sun given this targ_pos and date). The output of
# this routine is a dict of WCS objects, one for each SCA. We then take the WCS for the SCA
# that we are using.
wcs_list = wfirst.getWCS(world_pos=targ_pos, SCAs=use_SCA)
wcs = wcs_list[use_SCA]
# We need to find the center position for this SCA. We'll tell it to give us a CelestialCoord
# corresponding to (X, Y) = (wfirst.n_pix/2, wfirst.n_pix/2).
SCA_cent_pos = wcs.toWorld(galsim.PositionD(wfirst.n_pix/2, wfirst.n_pix/2))
# We randomly distribute points in (X, Y) on the CCD.
# If we had a real galaxy catalog with positions in terms of RA, dec we could use wcs.toImage()
# to find where those objects should be in terms of (X, Y).
pos_rng = galsim.UniformDeviate(random_seed)
# Make a list of (X, Y, F814W magnitude, n_rot, flip) values.
# (X, Y) give the position of the galaxy centroid (or the center of the postage stamp into which
# we draw the galaxy) in the big image.
# F814W magnitudes are randomly drawn from the catalog, and are used to create a more realistic
# flux distribution for the galaxies instead of just having the 10 flux values for the galaxies
# we have chosen to draw.
# n_rot says how many 90 degree rotations to include for a given realization of each galaxy, so
# it doesn't appear completely identical each time we put it in the image.
# flip is a random number that will determine whether we include an x-y flip for this appearance
# of the galaxy or not.
x_stamp = []
y_stamp = []
mag_stamp = []
n_rot_stamp = []
flip_stamp = []
for i_gal in xrange(n_tot):
x_stamp.append(pos_rng()*wfirst.n_pix)
y_stamp.append(pos_rng()*wfirst.n_pix)
# Note that we could use wcs.toWorld() to get the (RA, dec) for these (x, y) positions. Or,
# if we had started with (RA, dec) positions, we could have used wcs.toImage() to get the
# CCD coordinates for those positions.
mag_stamp.append(cat.param_cat.mag_auto[pos_rng()*cat.nobjects])
n_rot_stamp.append(int(4*pos_rng()))
flip_stamp.append(pos_rng())
# Make the 2-component parametric GSObjects for each object, including chromaticity (roughly
# appropriate SEDs per galaxy component, at the appropriate galaxy redshift). Note that since
# the PSF is position-independent within the SCA, we can simply do the convolution with that PSF
# now instead of using a different one for each position. We also have to include the correct
# flux scaling: The catalog returns objects that would be observed by HST in 1 second
# exposures. So for our telescope we scale up by the relative area and exposure time. Note that
# what is important is the *effective* area after taking into account obscuration.
logger.info('Processing the objects in the catalog to get GSObject representations')
# Choose a random set of unique indices in the catalog (will be the same each time script is
# run, due to use of the same random seed):
rand_indices = []
while len(rand_indices)<n_use:
tmp_ind = int(pos_rng()*cat.nobjects)
if tmp_ind not in rand_indices:
rand_indices.append(tmp_ind)
obj_list = cat.makeGalaxy(rand_indices, chromatic=True, gal_type='parametric', deep=True)
gal_list = []
hst_eff_area = 2.4**2 * (1.-0.33**2)
wfirst_eff_area = galsim.wfirst.diameter**2 * (1.-galsim.wfirst.obscuration**2)
flux_scaling = (wfirst_eff_area/hst_eff_area) * wfirst.exptime
mag_list = []
for ind in range(len(obj_list)):
# First, let's check what magnitude this object has in F814W. We want to do this because
# (to inject some variety into our images) we are going to rescale the fluxes in all bands
# for different instances of this galaxy in the final image in order to get a reasonable S/N
# distribution. So we need to save the original magnitude in F814W, to compare with a
# randomly drawn one from the catalog. This is not something that most users would need to
# do.
mag_list.append(cat.param_cat.mag_auto[cat.orig_index[rand_indices[ind]]])
# Convolve the chromatic galaxy and the chromatic PSF, and rescale flux.
final = galsim.Convolve(flux_scaling*obj_list[ind], PSF)
logger.debug('Pre-processing for galaxy %d completed.'%ind)
gal_list.append(final)
# Calculate the sky level for each filter, and draw the PSF and the galaxies through the
# filters.
for filter_name, filter_ in filters.iteritems():
logger.info('Beginning work for {0}.'.format(filter_name))
# Drawing PSF. Note that the PSF object intrinsically has a flat SED, so if we convolve it
# with a galaxy, it will properly take on the SED of the galaxy. For the sake of this demo,
# we will simply convolve with a 'star' that has a flat SED and unit flux in this band, so
# that the PSF image will be normalized to unit flux. This does mean that the PSF image
# being drawn here is not quite the right PSF for the galaxy. Indeed, the PSF for the
# galaxy effectively varies within it, since it differs for the bulge and the disk. To make
# a real image, one would have to choose SEDs for stars and convolve with a star that has a
# reasonable SED, but we just draw with a flat SED for this demo.
out_filename = os.path.join(outpath, 'demo13_PSF_{0}.fits'.format(filter_name))
# Approximate a point source.
point = galsim.Gaussian(sigma=1.e-8, flux=1.)
# Use a flat SED here, but could use something else. A stellar SED for instance.
# Or a typical galaxy SED. Depending on your purpose for drawing the PSF.
star_sed = galsim.SED(lambda x:1).withFlux(1.,filter_) # Give it unit flux in this filter.
star = galsim.Convolve(point*star_sed, PSF)
img_psf = galsim.ImageF(64,64)
star.drawImage(bandpass=filter_, image=img_psf, scale=wfirst.pixel_scale)
img_psf.write(out_filename)
logger.debug('Created PSF with flat SED for {0}-band'.format(filter_name))
# Set up the full image that will contain all the individual galaxy images, with information
# about WCS:
final_image = galsim.ImageF(wfirst.n_pix,wfirst.n_pix, wcs=wcs)
# Draw the galaxies into the image.
for i_gal in xrange(n_use):
logger.info('Drawing image for the object at row %d in the input catalog'%i_gal)
# We want to only draw the galaxy once (for speed), not over and over with different
# sub-pixel offsets. For this reason we ignore the sub-pixel offset entirely. Note
# that we are setting the postage stamp to have the average WFIRST pixel scale. This is
# simply an approximation for the purpose of speed; really, one should draw directly
# into final_image, which has the appropriate WCS for WFIRST. In that case, the image
# of the galaxy might look different in different parts of the detector due to the WCS
# (including distortion), and we would have to re-draw each time. To keep the demo
# relatively quick, we are just using the approximate average pixel scale and drawing
# once.
stamp = galsim.Image(stamp_size, stamp_size, scale=wfirst.pixel_scale)
gal_list[i_gal].drawImage(filter_, image=stamp)
# Have to find where to place it:
for i_gal_use in range(i_gal*n_tot/n_use, (i_gal+1)*n_tot/n_use):
# Account for the fractional part of the position:
ix = int(math.floor(x_stamp[i_gal_use]+0.5))
iy = int(math.floor(y_stamp[i_gal_use]+0.5))
# We don't actually use this offset.
offset = galsim.PositionD(x_stamp[i_gal]-ix, y_stamp[i_gal]-iy)
# Create a nominal bound for the postage stamp given the integer part of the
# position.
stamp_bounds = galsim.BoundsI(ix-0.5*stamp_size, ix+0.5*stamp_size-1,
iy-0.5*stamp_size, iy+0.5*stamp_size-1)
# Find the overlapping bounds between the large image and the individual postage
# stamp.
bounds = stamp_bounds & final_image.bounds
# Just to inject a bit of variety into the image, so it isn't *quite* as obvious
# that we've repeated the same 10 objects over and over, we randomly rotate the
# postage stamp by some factor of 90 degrees and possibly include a random flip.
if flip_stamp[i_gal_use] > 0.5:
new_arr = numpy.ascontiguousarray(
numpy.rot90(stamp.array, n_rot_stamp[i_gal_use]))
else:
new_arr = numpy.ascontiguousarray(
numpy.fliplr(numpy.rot90(stamp.array, n_rot_stamp[i_gal_use])))
stamp_rot = galsim.Image(new_arr, scale=stamp.scale)
stamp_rot.setOrigin(galsim.PositionI(stamp_bounds.xmin, stamp_bounds.ymin))
# Rescale the flux to match that of a randomly chosen galaxy in the galaxy, but
# keeping the same SED as for this particular galaxy. This gives a bit more
# variety in the flux values and SNR of the galaxies in the image without having
# to render images of many more objects.
flux_scaling = 10**(-0.4*(mag_stamp[i_gal_use]-mag_list[i_gal]))
# Copy the image into the right place in the big image.
final_image[bounds] += flux_scaling * stamp_rot[bounds]
# Now we're done with the per-galaxy drawing for this image. The rest will be done for the
# entire image at once.
logger.info('Postage stamps of all galaxies drawn on a single big image for this filter.')
logger.info('Adding the sky level, noise and detector non-idealities.')
# First we get the amount of zodaical light for a position corresponding to the center of
# this SCA. The results are provided in units of e-/arcsec^2, using the default WFIRST
# exposure time since we did not explicitly specify one. Then we multiply this by a factor
# >1 to account for the amount of stray light that is expected. If we do not provide a date
# for the observation, then it will assume that it's the vernal equinox (sun at (0,0) in
# ecliptic coordinates) in 2025.
sky_level = wfirst.getSkyLevel(filters[filter_name], world_pos=SCA_cent_pos)
sky_level *= (1.0 + wfirst.stray_light_fraction)
# Make a image of the sky that takes into account the spatially variable pixel scale. Note
# that makeSkyImage() takes a bit of time. If you do not care about the variable pixel
# scale, you could simply compute an approximate sky level in e-/pix by multiplying
# sky_level by wfirst.pixel_scale**2, and add that to final_image.
sky_image = final_image.copy()
wcs.makeSkyImage(sky_image, sky_level)
# This image is in units of e-/pix. Finally we add the expected thermal backgrounds in this
# band. These are provided in e-/pix/s, so we have to multiply by the exposure time.
sky_image += wfirst.thermal_backgrounds[filter_name]*wfirst.exptime
# Adding sky level to the image.
final_image += sky_image
# Now that all sources of signal (from astronomical objects and background) have been added
# to the image, we can start adding noise and detector effects. There is a utility,
# galsim.wfirst.allDetectorEffects(), that can apply ALL implemented noise and detector
# effects in the proper order. Here we step through the process and explain these in a bit
# more detail without using that utility.
# First, we include the expected Poisson noise:
final_image.addNoise(poisson_noise)
# The subsequent steps account for the non-ideality of the detectors.
# 1) Reciprocity failure:
# Reciprocity, in the context of photography, is the inverse relationship between the
# incident flux (I) of a source object and the exposure time (t) required to produce a given
# response(p) in the detector, i.e., p = I*t. However, in NIR detectors, this relation does
# not hold always. The pixel response to a high flux is larger than its response to a low
# flux. This flux-dependent non-linearity is known as 'reciprocity failure', and the
# approximate amount of reciprocity failure for the WFIRST detectors is known, so we can
# include this detector effect in our images.
if diff_mode:
# Save the image before applying the transformation to see the difference
save_image = final_image.copy()
# If we had wanted to, we could have specified a different exposure time than the default
# one for WFIRST, but otherwise the following routine does not take any arguments.
wfirst.addReciprocityFailure(final_image)
logger.debug('Included reciprocity failure in {0}-band image'.format(filter_name))
if diff_mode:
# Isolate the changes due to reciprocity failure.
diff = final_image-save_image
out_filename = os.path.join(outpath,'demo13_RecipFail_{0}.fits'.format(filter_name))
final_image.write(out_filename)
out_filename = os.path.join(outpath,
'demo13_diff_RecipFail_{0}.fits'.format(filter_name))
diff.write(out_filename)
# At this point in the image generation process, an integer number of photons gets
# detected, hence we have to round the pixel values to integers:
final_image.quantize()
# 2) Adding dark current to the image:
# Even when the detector is unexposed to any radiation, the electron-hole pairs that
# are generated within the depletion region due to finite temperature are swept by the
# high electric field at the junction of the photodiode. This small reverse bias
# leakage current is referred to as 'dark current'. It is specified by the average
# number of electrons reaching the detectors per unit time and has an associated
# Poisson noise since it is a random event.
dark_current = wfirst.dark_current*wfirst.exptime
dark_noise = galsim.DeviateNoise(galsim.PoissonDeviate(rng, dark_current))
final_image.addNoise(dark_noise)
# NOTE: Sky level and dark current might appear like a constant background that can be
# simply subtracted. However, these contribute to the shot noise and matter for the
# non-linear effects that follow. Hence, these must be included at this stage of the
# image generation process. We subtract these backgrounds in the end.
# 3) Applying a quadratic non-linearity:
# In order to convert the units from electrons to ADU, we must use the gain factor. The gain
# has a weak dependency on the charge present in each pixel. This dependency is accounted
# for by changing the pixel values (in electrons) and applying a constant nominal gain
# later, which is unity in our demo.
# Save the image before applying the transformation to see the difference:
if diff_mode:
save_image = final_image.copy()
# Apply the WFIRST nonlinearity routine, which knows all about the nonlinearity expected in
# the WFIRST detectors.
wfirst.applyNonlinearity(final_image)
# Note that users who wish to apply some other nonlinearity function (perhaps for other NIR
# detectors, or for CCDs) can use the more general nonlinearity routine, which uses the
# following syntax:
# final_image.applyNonlinearity(NLfunc=NLfunc)
# with NLfunc being a callable function that specifies how the output image pixel values
# should relate to the input ones.
logger.debug('Applied nonlinearity to {0}-band image'.format(filter_name))
if diff_mode:
diff = final_image-save_image
out_filename = os.path.join(outpath,'demo13_NL_{0}.fits'.format(filter_name))
final_image.write(out_filename)
out_filename = os.path.join(outpath,'demo13_diff_NL_{0}.fits'.format(filter_name))
diff.write(out_filename)
# Save this image to do the diff after applying IPC.
save_image = final_image.copy()
# 4) Including Interpixel capacitance:
# The voltage read at a given pixel location is influenced by the charges present in the
# neighboring pixel locations due to capacitive coupling of sense nodes. This interpixel
# capacitance effect is modeled as a linear effect that is described as a convolution of a
# 3x3 kernel with the image. The WFIRST IPC routine knows about the kernel already, so the
# user does not have to supply it.
wfirst.applyIPC(final_image)
logger.debug('Applied interpixel capacitance to {0}-band image'.format(filter_name))
if diff_mode:
# Isolate the changes due to the interpixel capacitance effect.
diff = final_image-save_image
out_filename = os.path.join(outpath,'demo13_IPC_{0}.fits'.format(filter_name))
final_image.write(out_filename)
out_filename = os.path.join(outpath,'demo13_diff_IPC_{0}.fits'.format(filter_name))
diff.write(out_filename)
# 5) Adding read noise:
# Read noise is the noise due to the on-chip amplifier that converts the charge into an
# analog voltage. We already applied the Poisson noise due to the sky level, so read noise
# should just be added as Gaussian noise:
read_noise = galsim.GaussianNoise(rng, sigma=wfirst.read_noise)
final_image.addNoise(read_noise)
logger.debug('Added readnoise to {0}-band image'.format(filter_name))
# We divide by the gain to convert from e- to ADU. Currently, the gain value in the WFIRST
# module is just set to 1, since we don't know what the exact gain will be, although it is
# expected to be approximately 1. Eventually, this may change when the camera is assembled,
# and there may be a different value for each SCA. For now, there is just a single number,
# which is equal to 1.
final_image /= wfirst.gain
# Finally, the analog-to-digital converter reads in an integer value.
final_image.quantize()
# Note that the image type after this step is still a float. If we want to actually
# get integer values, we can do new_img = galsim.Image(final_image, dtype=int)
# Since many people are used to viewing background-subtracted images, we provide a
# version with the background subtracted (also rounding that to an int).
tot_sky_image = (sky_image + dark_current)/wfirst.gain
tot_sky_image.quantize()
final_image -= tot_sky_image
logger.debug('Subtracted background for {0}-band image'.format(filter_name))
# Write the final image to a file.
out_filename = os.path.join(outpath,'demo13_{0}.fits'.format(filter_name))
final_image.write(out_filename)
logger.info('Completed {0}-band image.'.format(filter_name))
logger.info('You can display the output in ds9 with a command line that looks something like:')
logger.info('ds9 -zoom 0.5 -scale limits -500 1000 -rgb '+
'-red output/demo13_H158.fits '+
'-green output/demo13_J129.fits '+
'-blue output/demo13_Y106.fits')