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

Distance perception with holographically reconstructed objects

Allan H. Frey and Randal D. Frey
J. Opt. Soc. Am. A 2(7) 1217-1219 (1985)

Frame-theory-based approach for determining the time–frequency distribution characterizing a dense group of reflecting objects

Laura Rebollo-Neira and A. Plastino
J. Opt. Soc. Am. A 17(6) 1077-1085 (2000)

Holography and the inverse source problem. Part II: Inhomogeneous media

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J. Opt. Soc. Am. A 2(11) 2006-2012 (1985)

Inverse source problem for three-dimensional partially coherent sources and fields

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Application of the phase-perturbation technique to randomly rough surfaces

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