Hidden phase effects in estimating the minimum-variance pupil plane field of a coherently illuminated far-field object

William W. Arrasmith

doi:10.1117/12.354917

19 July 1999 Hidden phase effects in estimating the minimum-variance pupil plane field of a coherently illuminated far-field object

William W. Arrasmith

Author Affiliations +

Proceedings Volume 3749, 18th Congress of the International Commission for Optics; (1999) https://doi.org/10.1117/12.354917
Event: ICO XVIII 18th Congress of the International Commission for Optics, 1999, San Francisco, CA, United States

Abstract

Recently, it has been shown that least squares phase estimators require the determination of a hidden phase to properly reconstruct a field that contains branch points. The branch points, resulting from zeros in the complex field, occur at random locations. These branch points introduce discontinuities in the 2D phase function that have a magnitude of 2(pi) . Conventional least squares and minimum variance phase reconstructors do not properly sense these discontinuities and therefore have difficulty in reconstructing the field resulting from a coherently illuminated object. Preliminary investigations are made in determining the utility of the hidden phase to the minimum variance based phase reconstructors. A simple 2D image model is reconstructed using the hidden phase adjustments.

Citation Download Citation

William W. Arrasmith "Hidden phase effects in estimating the minimum-variance pupil plane field of a coherently illuminated far-field object", Proc. SPIE 3749, 18th Congress of the International Commission for Optics, (19 July 1999); https://doi.org/10.1117/12.354917

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