Lensing effect on polarization in microwave background: extracting convergence power spectrum

Details Lensing effect on polarization in microwave background: extracting convergence power spectrum Lensing effect on polarization in microwave background: extracting convergence power spectrum

1999-12-23

arxiv.org/abs/astro-ph/9912505v1

Phys.Rev. D62 (2000) 043517

Astronomy and Astrophysics

Astrophysics

17 pages, 5 figures, accepted for publication in PRD

Scientific paper

10.1103/PhysRevD.62.043517

Matter inhomogeneities along the line of sight deflect the cosmic microwave background (CMB) photons originating at the last scattering surface at redshift $z \sim 1100$. These distortions modify the pattern of CMB polarization. We identify specific combinations of Stokes $Q$ and $U$ parameters that correspond to spin 0,$\pm 2$ variables and can be used to reconstruct the projected matter density. We compute the expected signal to noise as a function of detector sensitivity and angular resolution. With Planck satellite the detection would be at a few $\sigma$ level. Several times better detector sensitivity would be needed to measure the projected dark matter power spectrum over a wider range of scales, which could provide an independent confirmation of the projected matter power spectrum as measured from other methods.

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