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Full-sky correlation functions for CMB experiments with asymmetric window functions

Kin-Wang Ng
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Abstract

We discuss full-sky convolution of the instrumental beam with the CMB sky signal in CMB single-dish and interferometry experiments, using the method (Challinor et al. 2000) that the measured temperature and polarization anisotropies are defined globally on the group manifold of the three-dimensional rotation by means of Wigner D-functions. We re-derive the anisotropy and polarization correlation functions incorporated with asymmetric window functions, which are then explicitly calculated for a single-dish elliptical Gaussian beam and an interferometric Gaussian beam.

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Kin-Wang Ng. 2004-09-16. Full-sky correlation functions for CMB experiments with asymmetric window functions. https://doi.org/10.1103/physrevd.71.083009

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