import os
import urllib.request
import numpy as np
import matplotlib.pyplot as plt
import astropy.io as aio
import astropy.units as u
import lenstools as lt
%matplotlib inline
with aio.fits.open("hlsp_frontier_model_abell2744_cats_v4.1_kappa.fits") as hdu:
head = hdu[0].header
head
SIMPLE = T / file does conform to FITS standard BITPIX = -32 / number of bits per data pixel NAXIS = 2 / number of data axes NAXIS1 = 2000 / length of data axis 1 NAXIS2 = 2000 / length of data axis 2 EXTEND = F / FITS dataset may contain extensions COMMENT FITS (Flexible Image Transport System) format is defined in 'Astronomy COMMENT and Astrophysics', volume 376, page 359; bibcode: 2001A&A...376..359H BZERO = 0. / BZERO BSCALE = 1. / BSCALE EQUINOX = 2000.0 / EQUINOX CTYPE1 = 'RA---TAN' / CTYPE1 CRVAL1 = 3.586259 / CRVAL1 CRPIX1 = 1000.5 / CRPIX1 CDELT1 = -8.33750208437552E-05 / CDELT1 CTYPE2 = 'DEC--TAN' / CTYPE2 CRVAL2 = -30.400174 / CRVAL2 CRPIX2 = 1000.5 / CRPIX2 CDELT2 = 8.33750208437552E-05 / CDELT2 ORIGIN = 'JPK-SOFT' / ORIGIN DATE = '2017-01-31T07:32:20' / file creation date (YYYY-MM-DDThh:mm:ss UT) RADESYS = 'FK5 ' CD1_1 = -8.3375020843755E-05 CD2_2 = 8.33750208437552E-05 CD1_2 = 0.0 CD2_1 = 0.0 LTM1_1 = 1.0 LTM2_2 = 1.0 WCSDIM = 2 WCSAXES = 2 WAT0_001= 'system=image' WAT1_001= 'wtype=tan axtype=ra' WAT2_001= 'wtype=tan axtype=dec' RA_TARG = 3.588333333333333 DEC_TARG= -30.39725 TARGNAME= 'abell2744' HLSPNAME= 'frontier' PROPOSID= 13495 PR_INV_F= 'Jennifer' PR_INV_L= 'Lotz ' MAPMKR_F= 'Mathilde' MAPMKR_L= 'Jauzac ' DATAMAX = 105.3750076293945 DATAMIN = 0.0354883149266243 IRAF_MAX= 105.3750076293945 IRAF_MIN= 0.0354883149266243
def loadConvergenceMap(fname):
with aio.fits.open(fname) as hdu:
angle = 0.3*hdu[0].header["NAXIS1"]*u.arcsec
kappa = hdu[0].data
return angle,kappa
conv = lt.image.convergence.ConvergenceMap.load("hlsp_frontier_model_abell2744_cats_v4.1_kappa.fits",format=loadConvergenceMap)
conv.info
Pixels on a side: 2000 Pixel size: 0.3 arcsec Total angular size: 600.0 arcsec lmin=2.2e+03 ; lmax=3.1e+06
fig,ax = plt.subplots(figsize=(12,8))
lt.image.convergence.ConvergenceMap(np.log(conv.data),angle=conv.side_angle).visualize(colorbar=True,cbar_label=r"$\log(\kappa)$",fig=fig,ax=ax)
ell_bins = np.linspace(5000,5000*100,100)
ell,Pell = conv.powerSpectrum(ell_bins)
fig,ax = plt.subplots(figsize=(12,8))
ax.plot(ell,ell*(ell+1)*Pell/(2*np.pi))
ax.set_xlabel(r"$\ell$",fontsize=16)
ax.set_ylabel(r"$\ell(\ell+1)P_\ell/2\pi$",fontsize=16)
Text(0,0.5,'$\\ell(\\ell+1)P_\\ell/2\\pi$')
def downloadMaps(ns,dest):
url_root = "https://archive.stsci.edu/pub/hlsp/frontier/abell2744/models/cats/v4.1/range/"
map_name = "hlsp_frontier_model_abell2744_cats-map{0:03d}_v4.1_kappa.fits"
for n in ns:
url = url_root + map_name.format(n)
print("[+] Downloading: "+url)
urllib.request.urlretrieve(url,os.path.join(dest,map_name.format(n)))
downloadMaps(range(200),"hlsp_maps/range")
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def measureKappaPowerSpectrum(ell_bins,ns,map_root="hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map{0:03d}_v4.1_kappa.fits"):
ps = np.zeros((len(ns),len(ell_bins)-1))
for i,n in enumerate(ns):
map_fname = map_root.format(n)
print("[+] Measuring kappa power spectrum in map: "+map_fname)
conv = lt.image.convergence.ConvergenceMap.load(map_fname,format=loadConvergenceMap)
ell,pn = conv.powerSpectrum(ell_bins)
ps[i,:] = pn
return ell,ps
ell,kappa_ps = measureKappaPowerSpectrum(ell_bins,range(200))
[+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map000_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map001_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map002_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map003_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map004_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map005_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map006_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map007_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map008_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map009_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map010_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map011_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map012_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map013_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map014_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map015_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: 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hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map168_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map169_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map170_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map171_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map172_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map173_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map174_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map175_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map176_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map177_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map178_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map179_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map180_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map181_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map182_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map183_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map184_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map185_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map186_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map187_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map188_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map189_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map190_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map191_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map192_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map193_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map194_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map195_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map196_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map197_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map198_v4.1_kappa.fits [+] Measuring kappa power spectrum in map: hlsp_maps/range/hlsp_frontier_model_abell2744_cats-map199_v4.1_kappa.fits
fig,ax = plt.subplots(figsize=(12,8))
for ps in kappa_ps:
ax.plot(ell,ell*(ell+1)*ps/(2*np.pi),color="blue",alpha=0.1)
ax.plot(ell,ell*(ell+1)*kappa_ps.mean(0)/(2*np.pi),color="red",linewidth=2)
ax.set_xlabel(r"$\ell$",fontsize=16)
ax.set_ylabel(r"$\ell(\ell+1)P_\ell/2\pi$",fontsize=16)
Text(0,0.5,'$\\ell(\\ell+1)P_\\ell/2\\pi$')