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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

  • Editor: Franco Gori
  • Vol. 28, Iss. 6 — Jun. 1, 2011
  • pp: 993–1002

Wave field reconstruction from multiple plane intensity-only data: augmented Lagrangian algorithm

Artem Migukin, Vladimir Katkovnik, and Jaakko Astola  »View Author Affiliations


JOSA A, Vol. 28, Issue 6, pp. 993-1002 (2011)
http://dx.doi.org/10.1364/JOSAA.28.000993


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Abstract

A complex-valued wave field is reconstructed from intensity-only measurements given at multiple observation planes parallel to the object plane. The phase-retrieval algorithm is obtained from the constrained maximum likelihood approach provided that the additive noise is Gaussian. The forward propagation from the object plane to the measurement plane is treated as a constraint in the proposed variational setting of reconstruction. The developed iterative algorithm is based on an augmented Lagrangian technique. An advanced performance of the algorithm is demonstrated by numerical simulations.

© 2011 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(100.3010) Image processing : Image reconstruction techniques
(100.3190) Image processing : Inverse problems
(100.5070) Image processing : Phase retrieval
(070.2025) Fourier optics and signal processing : Discrete optical signal processing

ToC Category:
Image Processing

History
Original Manuscript: November 5, 2010
Revised Manuscript: March 9, 2011
Manuscript Accepted: March 9, 2011
Published: May 9, 2011

Citation
Artem Migukin, Vladimir Katkovnik, and Jaakko Astola, "Wave field reconstruction from multiple plane intensity-only data: augmented Lagrangian algorithm," J. Opt. Soc. Am. A 28, 993-1002 (2011)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-28-6-993


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