Non-iterative methodology for obtaining a wavefront directly from phase diversity measurements

Details Non-iterative methodology for obtaining a wavefront directly from phase diversity measurements Non-iterative methodology for obtaining a wavefront directly from phase diversity measurements

Mar 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003spie.4850..461l&link_type=abstract

IR Space Telescopes and Instruments. Edited by John C. Mather . Proceedings of the SPIE, Volume 4850, pp. 461-468 (2003).

Mathematics

Scientific paper

Large segmented and distributed aperture telescopes increasingly rely on innovative imaging techniques such as phase diversity and phase retrieval. These algorithms obtain the phase aberration in a dynamic system by different estimation techniques using the information from in-focus and out-of-focus images of extended objects and point objects, respectively. These estimation techniques are generally iterative and suffer from the usual pitfalls of CPU demands and failure modes. An alternative method would be to obtain an expression for the wavefront directly from the phase diversity measurements. The optimal wavefront expression would be expressed as a polynomial times the unaberrated OTF derived from the aberrated PSF. In this paper, we first obtain the expansion of the aberrated PSF with an explicit dependence on the amount of diversity and explore the implications of varying amounts of diversity as well as different numbers of diversity planes. Finally, we discuss solutions for the wavefront expression.

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