Paper
7 December 1982 Inverse Scattering For Smooth Reflecting Objects
R. P. Porter
Author Affiliations +
Abstract
A practical technique is presented for finding the shape of smooth, reflecting objects from their scattered fields. The method assumes the field on the surface of the objects satisfy Dirichlet or Neumann boundary conditions. A surface identifier combines eigenfunctions satisfying the boundary conditions for the particular object shape. The eigenfunctions are found from the T matrix. The T matrix is found from a near field recording by a holographic imaging technique which truncates the estimated T matrix guaranteeing a stable inversion. Many successive illuminations of the object are required to determine the T matrix completely.
© (1982) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
R. P. Porter "Inverse Scattering For Smooth Reflecting Objects", Proc. SPIE 0358, Applications of Mathematics in Modern Optics, (7 December 1982); https://doi.org/10.1117/12.934064
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Cited by 2 scholarly publications.
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KEYWORDS
Scattering

Holography

Spherical lenses

Optical spheres

Mathematics

Imaging systems

Inverse problems

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