2004/09/16 by Kin‐Wang Ng, Kin-Wang Ng
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #astro-ph
paper · pdf · doi:10.1103/physrevd.71.083009
published as Phys.Rev. D71 (2005) 083009 · 14 pages, 1 figure, minor changes, and references added
arxiv created 2004/09/16 · openalex publication_date 2005/04/12 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
We discuss full-sky convolution of the instrumental beam with the CMB sky signal in CMB single-dish and interferometry experiments using the method [A. Challinor et al., Phys. Rev. D 62, 123002 (2000); B. D. Wandelt and K. M. G'orski, Phys. Rev. D 63, 123002 (2001).] 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 rederive 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.