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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. 2, Iss. 11 — Nov. 1, 1985
  • pp: 1937–1942

Holographic shape determination of reflecting objects

R. P. Porter  »View Author Affiliations


JOSA A, Vol. 2, Issue 11, pp. 1937-1942 (1985)
http://dx.doi.org/10.1364/JOSAA.2.001937


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Abstract

A general and practical method is developed for shape determination of specular reflectors from their scattered fields. Even though this problem has been of interest for many years, and even though a unique solution is believed possible, a general method has eluded us. The method presented here uses the observation that a class of incoming and outgoing waves that satisfy the boundary conditions of the object can be found. Holographic imaging of the scattered field is a practical approach for finding these eigenfunctions for the scatterer. As an example, we invert the scattered field from a sphere, precisely determining its radius.

© 1985 Optical Society of America

History
Original Manuscript: December 2, 1984
Manuscript Accepted: July 24, 1985
Published: November 1, 1985

Citation
R. P. Porter, "Holographic shape determination of reflecting objects," J. Opt. Soc. Am. A 2, 1937-1942 (1985)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-2-11-1937

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