Small angle expansion: a solution to the phase-retrieval problem using generalized phase diversity in pupil space

Sijiong Zhang; Heather I. Campbell; Alan H. Greenaway

doi:10.1117/12.669382

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8 June 2006 Small angle expansion: a solution to the phase-retrieval problem using generalized phase diversity in pupil space

Sijiong Zhang, Heather I. Campbell, Alan H. Greenaway

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Proceedings Volume 6018, 5th International Workshop on Adaptive Optics for Industry and Medicine; 60181C (2006) https://doi.org/10.1117/12.669382
Event: 5th International Workshop on Adaptive Optics for Industry and Medicine, 2005, Beijing, China

Abstract

Phase diversity is a phase-retrieval algorithm that uses a pair of defocused intensity images taken symmetrically about the wavefront to be determined. Generalised phase diversity is a phase-retrieval algorithm that uses diversity functions other than defocus. The approach adopted assumes that unknown phase changes satisfy the small-angle approximation over spatial regions that can be selected by choice of the diversity function. For smooth functions, and for discontinuous functions with only small discontinuities, this leads to a very simple analytic solution. Computer simulations were used to validate this method for the retrieved phase.

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Sijiong Zhang, Heather I. Campbell, and Alan H. Greenaway "Small angle expansion: a solution to the phase-retrieval problem using generalized phase diversity in pupil space", Proc. SPIE 6018, 5th International Workshop on Adaptive Optics for Industry and Medicine, 60181C (8 June 2006); https://doi.org/10.1117/12.669382

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