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4 August 2010 New approaches to the design of non-redundant aperture masks
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Abstract
The spatial frequencies accessible with a non-redundant mask (NRM) are fixed by the relative positions of the sub-apertures over the telescope pupil. In this paper we present several iterative algorithms for constructing nonredundant sub-apertures configurations. We use the triple correlation of a pre-existing set of n sub-apertures in order to find if, and where, a supplementary n+1th sub-aperture can be placed. As several possible locations may be found, we propose 3 different criteria to choose among them. Favoring the positions that are the closest to the center of mass of the sub-apertures ends up finding configurations similar to those described by Golay. The 2 other criteria aim at favoring higher spatial frequencies. The possibility of working with pupils of different radii in order to obtain a better coverage is briefly explored. The comparison between the configurations found with the 3 algorithms is done by computing for each of them the radial density of the spatial frequencys coverage and the total flux collected by the sub-apertures. An algebraic expression of the diffraction patterns associated to these configurations is given.
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A. Carlotti and T. Groff "New approaches to the design of non-redundant aperture masks", Proc. SPIE 7733, Ground-based and Airborne Telescopes III, 77333D (4 August 2010); https://doi.org/10.1117/12.856710
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