Nov 8, 2018 - Wrong: Lensing effect on CIB power spectra

This post is wrong, because we were lensing CIB in the range [4000Mpc, 4400Mpc] with kappa calculated from [4000Mpc, 4400Mpc] that assumes source at 4600 Mpc. See the next post for the corrected plots. However, the last point of this note does not assume lensing and may well still be true - somehow it seems that the CIB signal is dominated by the first shell at the lowest scales.

With unlensed CIB maps and kappa maps, we can run Louis's code to get lensed CIB maps.

Fractional change to the power spectra as a function of redshift is below

Summing CIB signal over all slices gives us total unlensed/lensed CIB signal. Overall, the change in the power due to lensing is plotted here (error bars are error of the mean in the bin)

High [math]\displaystyle{ \ell }[/math] is suspicious, because from the previous figure we see that only for the lowest redshift shell the lensing is above 0.5%. This would require signal to be dominated by the lowest redshift shell.. We redo the plot of CIB power / kappa power / cross correlation as a function of angular scale to higher [math]\displaystyle{ \ell }[/math] than in the previous post and we really find that above [math]\displaystyle{ \ell \approx 2000 }[/math] CIB signal appears to be dominated by the CIB sources closest to us.