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Published June 15, 2003 | Published
Journal Article Open

Lensing reconstruction with CMB temperature and polarization


Weak gravitational lensing by an 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-potential 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-potential power spectrum estimator are calculated and evaluated numerically in a LambdaCDM universe for Planck and future polarization-sensitive CMB experiments.

Additional Information

© 2003 The American Physical Society. Received 25 February 2003; published 11 June 2003. We thank Wayne Hu for useful discussions. This work was supported in part by NASA NAG5-11985 and DOE DEFG03-92-ER40701. M.K. acknowledges the support of the NSF Graduate program and A.C. acknowledges support from the Sherman Fairchild Foundation.

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