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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. 4, Iss. 1 — Jan. 1, 1987
  • pp: 166–170

Phase retrieval by differential intensity measurements

Robert A. Gonsalves  »View Author Affiliations


JOSA A, Vol. 4, Issue 1, pp. 166-170 (1987)
http://dx.doi.org/10.1364/JOSAA.4.000166


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Abstract

The use of the term differential intensity measurements implies that two or more intensity measurements are made, with a slight change in a parameter of the measurement-taking system between measurements. For example, the position of the focal plane or the transmission of the aperture might be changed. In either of these cases it is possible to find a closed-form solution to the phase-retrieval problem, as opposed to the usual iterative solution. The first case corresponds to a quadratic phase shift in the unknown phase and has been studied previously by several authors. This examination of the problem leads to the discovery of some details that may be useful. In the second case a new result leads to a simpler solution for the phase. The results in this paper apply to the one-dimensional phase-retrieval problem. An extension to the more important two-dimensional problem can be made by means described in this paper.

© 1987 Optical Society of America

History
Original Manuscript: May 19, 1986
Manuscript Accepted: September 16, 1986
Published: January 1, 1987

Citation
Robert A. Gonsalves, "Phase retrieval by differential intensity measurements," J. Opt. Soc. Am. A 4, 166-170 (1987)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-4-1-166

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