Two-Dimensional Phase Retrieval Using The Fourier Series Expansion

N. Nakajima

doi:10.1117/12.967166

1 January 1987 Two-Dimensional Phase Retrieval Using The Fourier Series Expansion

N. Nakajima

Proceedings Volume 0813, Optics and the Information Age; (1987) https://doi.org/10.1117/12.967166
Event: 14th Congress of the International Commission for Optics, 1987, Quebec, Canada

Abstract

The phase-retrieval problem is of importance in areas of diverse application such as imaging through the turbulent atmosphere, x-ray crystallography, and electron microscopy. Various studies of the phase-retrieval method have been performed. Previously we presented that a phase distribution at the Fourier-transform plane of an object in one dimension can be retrieved by solving linear equations consisting of unknown coefficients in the Fourier series expansion of the phase and two moduli obtained with and without the exponential filter at the object plane.1) In this paper it is shown that a two-dimensional phase distribution can be also retrieved by using the Fourier series expansion and the algorithm2) for applying the one-dimensional method to the two-dimensional case. The validity of the present method is shown in computer simulations, reconstructing a two-dimensional object function.

Citation Download Citation

N. Nakajima "Two-Dimensional Phase Retrieval Using The Fourier Series Expansion", Proc. SPIE 0813, Optics and the Information Age, (1 January 1987); https://doi.org/10.1117/12.967166

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