Elliptical Beams in CMB Temperature and Polarization Anisotropy Experiments: An Analytic Approach

Abstract

We present an analytic approach to the estimation of beam asymmetry effects in CMB temperature and linear polarization anisotropy experiments. We derive via perturbative expansions simple and accurate results for the case of an elliptical Gaussian window. Our results are applied to investigate the effect of beam ellipticity in the estimation of full-sky polarization correlation functions and the covariance matrix of power spectra. The relevance of this effect is also discussed by forecasting errors including beam asymmetry for current and future CMB experiments.

17 pages, 12 figures. Matches version accepted by PRD: Discussion added on the advantages of introducing a perturbative approach to address beam asymmetry effects, and about the implementation of the results to actual CMB experiments

References in corpus (2)

• The nature of the E-B decomposition of CMB polarization
• Window Function for Non-Circular Beam CMB Anisotropy Experiment

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