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Proceedings Paper

Two-Dimensional Phase Retrieval Using The Fourier Series Expansion
Author(s): N. Nakajima
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Paper 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.

Paper Details

Date Published: 1 January 1987
PDF: 4 pages
Proc. SPIE 0813, Optics and the Information Age, (1 January 1987); doi: 10.1117/12.967166
Show Author Affiliations
N. Nakajima, Shizuoka University (Japan)


Published in SPIE Proceedings Vol. 0813:
Optics and the Information Age

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