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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 70, Iss. 12 — Dec. 1, 1980
  • pp: 1554–1556

Object plane relations in the phase retrieval problem

Leonard S. Taylor  »View Author Affiliations


JOSA, Vol. 70, Issue 12, pp. 1554-1556 (1980)
http://dx.doi.org/10.1364/JOSA.70.001554


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Abstract

We consider the relations between bandlimited one-dimensional object-plane fields which yield the same intensity distribution in the Fraunhofer (Fourier transform) plane. In the case in which the Fraunhofer-plane fields differ by the conjugation of a single zero, a simple relation results which appears useful in phase-retrieval algorithms.

© 1980 Optical Society of America

Citation
Leonard S. Taylor, "Object plane relations in the phase retrieval problem," J. Opt. Soc. Am. 70, 1554-1556 (1980)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-70-12-1554


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References

  1. H. A. Ferwerda, "The phase reconstruction problem for wave amplitudes and coherence functions," in Inverse Source Problems in Optics, edited by H. P. Baltes (Springer-Verlag, Berlin, 1978), Chap. 2.
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  10. R. W. Gerchberg and W. O. Saxton, "Wave phase from image and diffraction plane pictures," in Image Processing and Computer-aided Design in Electron Optics, edited by P. W. Hawkes (Academic, London, 1973)
  11. R. A. Gonsalves, "Phase retrieval from modulus data," J. Opt. Soc. Am. 66, 961–964 (1976).
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