Gerchberg-Saxton Phase Retrieval When Image Magnitude Given Only Approximately

R. H.T. Bates; W. R. Fright; P. H. Gardenier

doi:10.1117/12.942096

29 January 1988 Gerchberg-Saxton Phase Retrieval When Image Magnitude Given Only Approximately

R. H.T. Bates, W. R. Fright, P. H. Gardenier

Proceedings Volume 0828, Digital Image Recovery and Synthesis; (1988) https://doi.org/10.1117/12.942096
Event: 31st Annual Technical Symposium on Optical and Optoelectronic Applied Sciences and Engineering, 1987, San Diego, CA, United States

Abstract

We show that the Gerchberg-Saxton iterative phase recovery algorithm can generate usefully accurate image phase distributions, when the magnitude of the image's Fourier transform is given (or measured) very accurately but only a moderately accurate version of the image magnitude is available. The performance of our modified Gerchberg-Saxton algorithm is illustrated with two examples for which the data were computer-generated: the first, being one-dimensional, is relevant to acoustic microscopy, while the second relates to deducing, from the magnitude of its radiation pattern, the forms of the imperfections in the two-dimensional aperture distribution of a radio antenna.

Citation Download Citation

R. H.T. Bates, W. R. Fright, and P. H. Gardenier "Gerchberg-Saxton Phase Retrieval When Image Magnitude Given Only Approximately", Proc. SPIE 0828, Digital Image Recovery and Synthesis, (29 January 1988); https://doi.org/10.1117/12.942096

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