Imaging on a Sphere with Interferometers: the Spherical Wave Harmonic Transform
Abstract
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.
Cite
@article{arxiv.1504.04485,
title = {Imaging on a Sphere with Interferometers: the Spherical Wave Harmonic Transform},
author = {T. D. Carozzi},
journal= {arXiv preprint arXiv:1504.04485},
year = {2015}
}
Comments
(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 review