Mosaicking with cosmic microwave background interferometers

Abstract

Measurements of cosmic microwave background (CMB) anisotropies by interferometers offer several advantages over single-dish observations. The formalism for analyzing interferometer CMB data is well developed in the flat-sky approximation, valid for small fields of view. As the area of sky is increased to obtain finer spectral resolution, this approximation needs to be relaxed. We extend the formalism for CMB interferometry, including both temperature and polarization, to mosaics of observations covering arbitrarily large areas of the sky, with each individual pointing lying within the flat-sky approximation. We present a method for computing the correlation between visibilities with arbitrary pointing centers and baselines and illustrate the effects of sky curvature on the l-space resolution that can be obtained from a mosaic.

9 pages; submitted to ApJ

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• Systematic Errors in Cosmic Microwave Background Interferometry
• Matched filtering with interferometric 21cm experiments
• Bayesian angular power spectrum analysis of interferometric data
• Sensitivity of a Bolometric Interferometer to the CMB power spectrum
• Maximum likelihood analysis of systematic errors in interferometric observations of the cosmic microwave background
• Fisher Matrix Optimization of Cosmic Microwave Background Interferometers