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Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 11 — Nov. 1, 2008
  • pp: 2784–2790

Phase retrieval by propagation for localized images

David Montiel, Mark Sutton, and Martin Grant  »View Author Affiliations

JOSA A, Vol. 25, Issue 11, pp. 2784-2790 (2008)

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We present an algorithm for phase retrieval based on improvements to the methods developed by Bates [see Optik 61, 247 (1982) ]. Specifically, we have developed a more precise way of calculating phase differences between adjacent actual sampling points. This leads to a reduction in the error buildup in a recursive phase propagation scheme. Our approach has the advantage of having no adjustable parameters. We present a few examples of how this method can lead to improved image reconstructions.

© 2008 Optical Society of America

OCIS Codes
(100.3190) Image processing : Inverse problems
(100.5070) Image processing : Phase retrieval

ToC Category:
Image Processing

Original Manuscript: June 12, 2008
Manuscript Accepted: August 17, 2008
Published: October 21, 2008

David Montiel, Mark Sutton, and Martin Grant, "Phase retrieval by propagation for localized images," J. Opt. Soc. Am. A 25, 2784-2790 (2008)

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  1. R. W. Gerchberg and W. O. Saxton, “A practical algorithm for the determination of phase from image and diffraction plane pictures,” Optik (Stuttgart) 35, 237-246 (1972).
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  13. The solution to the phase problem is not unique in 1D. In the most general case (for a complex image), there can be up to 22M−1 different sets of phases compatible with a set of 2M+1 given magnitudes al. This is consistent with the fact that there are two possible choices for the sign of each phase difference (ωl) between adjacent samples .
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