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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. 20, Iss. 6 — Jun. 1, 2003
  • pp: 1046–1049

Phase reconstruction from intensity measurements in linear systems

Martin J. Bastiaans and Kurt Bernardo Wolf  »View Author Affiliations


JOSA A, Vol. 20, Issue 6, pp. 1046-1049 (2003)
http://dx.doi.org/10.1364/JOSAA.20.001046


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Abstract

The phase of a signal at a plane is reconstructed from the intensity profiles at two close parallel screens connected by a small abcd canonical transform; this applies to propagation along harmonic and repulsive fibers and in free media. We analyze the relationship between the local spatial frequency (the signal phase derivative) and the derivative of the squared modulus of the signal under a one-parameter canonical transform with respect to the parameter. We thus generalize to all linear systems the results that have been obtained separately for Fresnel and fractional Fourier transforms.

© 2003 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(100.5070) Image processing : Phase retrieval

History
Original Manuscript: November 25, 2002
Revised Manuscript: February 13, 2003
Manuscript Accepted: February 13, 2003
Published: June 1, 2003

Citation
Martin J. Bastiaans and Kurt Bernardo Wolf, "Phase reconstruction from intensity measurements in linear systems," J. Opt. Soc. Am. A 20, 1046-1049 (2003)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-6-1046


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