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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. 7, Iss. 3 — Mar. 1, 1990
  • pp: 441–449

Phase retrieval using two Fourier-transform intensities

Wooshik Kim and Monson H. Hayes  »View Author Affiliations


JOSA A, Vol. 7, Issue 3, pp. 441-449 (1990)
http://dx.doi.org/10.1364/JOSAA.7.000441


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Abstract

We consider the problem of reconstructing either a one-dimensional or a two-dimensional signal from its Fourier intensity and the Fourier intensity of another signal that is related to the first by the addition of a known reference signal. Several theorems are given that give conditions under which a unique reconstruction is possible, and a recursive algorithm is provided that allows for the reconstruction of the signal from the pair of Fourier intensities.

© 1990 Optical Society of America

History
Original Manuscript: July 18, 1989
Manuscript Accepted: November 9, 1989
Published: March 1, 1990

Citation
Wooshik Kim and Monson H. Hayes, "Phase retrieval using two Fourier-transform intensities," J. Opt. Soc. Am. A 7, 441-449 (1990)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-7-3-441


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References

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  19. We say that a sequence x(n) is nonsymmetric if it does not have even or odd symmetry, i.e., if x(n) ≠ x(n0− n) and x(n) ≠ − x(n0− n) for all integer values of n0. This is equivalent to the constraint that x(n) not be a linear phase sequence.
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