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The use of polarization effects in electromagnetic inverse scattering problems

✍ Scribed by David Colton; Andreas Kirsch

Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
392 KB
Volume
15
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We consider the scattering of plane, time‐harmonic electromagnetic waves by a perfect conductor D. We first show that the set ℱ~λ~ consisting of the span of a fixed linear combination of the electric and magnetic far‐field patterns is dense in the space of square‐integrable tangential vector fields defined on the unit sphere for all values of the wave number k ≠ 0 provided that Im k ≥0. We next consider the affine hull 𝒜~λ~ of ℱ~λ~ and characterize the set ℱ in terms of electric Herglotz fields. This result is then used to derive an optimization scheme for solving the inverse scattering problem of determining D from a knowledge of ℱ~λ~ and it is shown that this (unconstrained) optimization scheme has zero as its greatest lower bound.

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