Lensing Reconstruction with CMB Temperature and Polarization

Details Lensing Reconstruction with CMB Temperature and Polarization Lensing Reconstruction with CMB Temperature and Polarization

2003-02-25

arxiv.org/abs/astro-ph/0302536v1

Phys.Rev. D67 (2003) 123507

Astronomy and Astrophysics

Astrophysics

15 pages, 3 figures, submitted to PRD

Scientific paper

10.1103/PhysRevD.67.123507

Weak gravitational lensing by intervening large-scale structure induces a distinct signature in the cosmic microwave background (CMB) that can be used to reconstruct the weak-lensing displacement map. Estimators for individual Fourier modes of this map can be combined to produce an estimator for the lensing-potenial power spectrum. The naive estimator for this quantity will be biased upwards by the uncertainty associated with reconstructing individual modes; we present an iterative scheme for removing this bias. The variance and covariance of the lensing-potenial power spectrum estimator are calculated and evaluated numerically in a $\Lambda$CDM universe for Planck and future polarization-sensitive CMB experiments.

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