Oct 17, 2018 - Lensing the CIB
CIB Lensing of Individual Shells and Analysis
Here is what I was able to do.
1. Lens the 23 CIB maps with the 23 kappa maps, creating a "cib_i^lensed" and a "cib_i^unlensed" set of 23 maps.
I only used the field maps for both the kappa and the CIB maps. There were only 16 maps for the field (from z = 0 to z = 3.2). Used the bash script Remi left. The following is the part of my script that did the lensing. It turned out this was where I made a mistake before and got such high values for the fractional difference between the lensed and unlensed maps. I had been lensing a CIB map with the kappa map of the same range of z which does not make sense since a CIB shell will only be lensed by the kappa before it. For example, CIB_z_1.0_1.2 has to be lensed by Kappa_z_0.8_1.0_zsource_0.9 but I was lensing it with Kappa_z_1.0_1.2_zsource_1.1.
for i in seq 0.2 0.2 3.2;
do
echo "-----------$i----------"
zmid=`awk "BEGIN {print $i-0.1}"`
zfield=`awk "BEGIN {print $i+0.2}"`
echo "$zmid"
echo "$zfield"
python lens.py ../jason_cib_lensing/maps/kappa/field/kappa_field_nside2048_zmin0.0_zmax${i}_zsource${zmid}_kap.fits
../jason_cib_lensing/maps/cib/field/2048/unlensed_maps/cib_field_nside2048_zmin${i}_zmax${zfield}_cib.fits
../jason_cib_lensing/maps/lensed/phi/run2/kap_zmax${i}_phi_field.fits
../jason_cib_lensing/maps/lensed/field/run2/cib_field_nside2048_zmin${i}_zmax${zfield}_cib_lensed.fits -np 40
2. Plot cartview "zoom ins" of a few cib maps, lensed and unlensed, to make sure the lensing makes sense.
I tried this out for z = 1.0 to 1.2 and z = 2.0 to 2.2, the whole map and some cartviews. The scales at the bottom were synchronized between lensed and unlensed maps. z = 1.0 to 1.2
There isn't a clear difference between the two maps so I subtracted the lensed map from the unlensed (linearly) and made a map out of it. I will refer to these as 'difference maps.' (It may be different from the difference maps mentioned in the last meeting.)
Now there is a difference for sure.
Again, the two maps look virtually the same and these cannot be differentiated even with blinking.
This looks better.
The same goes for these maps even though the range is smaller.
When the maps are zoomed into 5º patches, the two maps certainly display a difference even though details are blurred due to the resolution.
z = 2.0 to 2.2
These two maps seem much different from each other compared to the 35º~40º for z = 1.0 to 1.2.
What luck!
3. Add these 23 maps together to get a [math]\displaystyle{ cib_{total}^{lensed} = \sum_i cib_i^{lensed} }[/math] , and a [math]\displaystyle{ cib_{total}^{unlensed} = \sum_i cib_i^{unlensed} }[/math].
Used a python script to add the maps up (with help from George). I also added CIB_z_0.0_0.2 which is the same before and after lensing. The script goes:
import healpy as hp
import glob
import sys
nside_f = 2048
filelist = sorted(glob.glob('./*fit*'))
map_f = 0
for i in range(len(filelist)):
print "adding map = ", filelist[i]
map_i = hp.read_map(filelist[i])
print(map_i)
map_f = map_f + map_i
print(map_f)
hp.write_map("added_map.fits", map_f)
4. Plot these, and also take their power spectrums and plot those just like you did for the CMB lensing (getting a [math]\displaystyle{ DeltaC_l/C_l }[/math] too).
Total Maps
The scales have become bigger but there isn't an obvious difference.
Now the scales are about 2~3 times the range of the difference maps given above with individual shells. (z = 1.0 to 1.2 and z = 2.0 to 2.2 must contribute a lot.)
Power Spectrum
Fractional Difference
5. The power spectra of each of the 23 slices lensed and unlensed may be taken seperately to see whats going on.
I tried this out for the range of 'z' I used for the maps above.
z = 1.0 to 1.2
Power Spectrum
Fractional Difference
z = 2.0 to 2.2
Power Spectrum
Fractional Difference
