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Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Vol. 3, Iss. 11 — Nov. 1, 1986
  • pp: 1897–1907

Phase-retrieval stagnation problems and solutions

J. R. Fienup and C. C. Wackerman  »View Author Affiliations


JOSA A, Vol. 3, Issue 11, pp. 1897-1907 (1986)
http://dx.doi.org/10.1364/JOSAA.3.001897


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Abstract

The iterative Fourier-transform algorithm has been demonstrated to be a practical method for reconstructing an object from the modulus of its Fourier transform (i.e., solving the problem of recovering phase from a single intensity measurement). In some circumstances the algorithm may stagnate. New methods are described that allow the algorithm to overcome three different modes of stagnation: those characterized by (1) twin images, (2) stripes, and (3) truncation of the image by the support constraint. Curious properties of Fourier transforms of images are also described: the zero reversal for the striped images and the relationship between the zero lines of the real and imaginary parts of the Fourier transform. A detailed description of the reconstruction method is given to aid those employing the iterative transform algorithm.

© 1986 Optical Society of America

History
Original Manuscript: November 25, 1985
Manuscript Accepted: July 3, 1986
Published: November 1, 1986

Citation
J. R. Fienup and C. C. Wackerman, "Phase-retrieval stagnation problems and solutions," J. Opt. Soc. Am. A 3, 1897-1907 (1986)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-3-11-1897

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