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An approximation theorem in inverse electromagnetic scattering

✍ Scribed by Peter Hähner

Publisher
John Wiley and Sons
Year
1994
Tongue
English
Weight
431 KB
Volume
17
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In the inverse electromagnetic scattering problem for an inhomogeneity of compact support with constant permittivity Colton and Päivärinta suggested an optimization scheme which yields a numerical method for determining the refractive index if the far‐field data of the scattering problem is known [1]. We prove the denseness of the Cauchy data to certain interior transmission problems and conclude that the infimum of the optimization scheme is zero even if the permittivity varies. Before proving the denseness result, we investigate a boundary value problem which is needed to prove the denseness result.

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