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amplification matrix

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7 - Lensing and the CMB
Ruth Durrer, Université de Genève
Book:

The Cosmic Microwave Background

Published online:

10 December 2020

Print publication:

17 December 2020, pp 268-295
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Summary

We introduce weak lensing due to foreground structures with the aim of treating lensing of CMB anisotropies and polarization. This second-order effect is especially important on small scales but has to be taken into account for ℓ ≳ 400 if we want to achieve an accuracy of better than 1%. We first derive the deflection angle and the lensing power spectrum. Then we discuss lensing of CMB fluctuations and polarization in the at sky approximation, which is sufficiently accurate for angular harmonics with ℓ ≳50 where lensing is relevant.