Microwave Background Interferometry on the Spherical Sky

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

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. In particular, the predicted signature of inflationary gravitational waves in CMB polarization maps occurs on large angular scales and will therefore require sky coverage too large for the flat-sky approximation to be appropriate.
We consider the formalism for analyzing interferometric CMB observations on large angular scales, including both temperature and polarization. In addition to reviewing the formalism for observations in which a single pointing covers a large solid angle, we present a
simple, convenient method of analyzing mosaics of observations covering arbitrarily large areas of the sky, with each individual pointing lying within the flat-sky approximation. In particular, 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. The leading correction to the correlations due to sky curvature can be described in terms of "baseline rotation": baselines that appear parallel (and hence strongly correlated) in the flat-sky approximation are in fact not parallel when sky curvature is taken into account.

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