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Imaging on a Sphere with Interferometers: the Spherical Wave Harmonic Transform
I present an exact and explicit solution to the scalar (Stokes flux
intensity) radio interferometer imaging equation on a spherical surface which
is valid also for non-coplanar interferometer configurations. This imaging
equation is comparable to -term imaging algorithms, but by using a spherical
rather than a Cartesian formulation this term has no special significance. The
solution presented also allows direct identification of the scalar (spin 0
weighted) spherical harmonics on the sky. The method should be of interest for
future multi-spacecraft interferometers, wide-field imaging with non-coplanar
arrays, and CMB spherical harmonic measurements using interferometers.Comment: (Fixed references missing in previous arxiv version). This is a
pre-copyedited, author-produced PDF of an article accepted for publication in
MNRAS following peer revie
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