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

Sijiong Zhang, Heather Dalgarno, Alan H. Greenaway

Research output: Contribution to journalArticle

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.

Original languageEnglish
Article number60181C
JournalProceedings of SPIE - the International Society for Optical Engineering
Volume6018
DOIs
Publication statusPublished - 2005
Event5th International Workshop on Adaptive Optics for Industry and Medicine - Beijing, China
Duration: 29 Aug 20051 Sep 2005

Keywords

  • Generalised Phase Diversity
  • Phase Retrieval
  • Small Angle Expansion

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