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

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

Author Affiliations +

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.

Citation Download Citation

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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