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Zbl 0849.35147
Hettlich, F.
Uniqueness of the inverse conductive scattering problem for time-harmonic electromagnetic waves. (English)
[J] SIAM J. Appl. Math. 56, No.2, 588-601 (1996). ISSN 0036-1399; ISSN 1095-712X/e

Summary: The scattering of time-harmonic electromagnetic waves by an obstacle covered with a thin layer of high conductivity leads to conductive boundary conditions. This paper is related to the inverse obstacle problem to determine the shape of such obstacles from the knowledge of scattered waves. A variational equation for this scattering problem is established. Then, under suitable assumptions, it is shown that the obstacle is uniquely determined by the far field patterns of all incident waves with a fixed wave number. This information is also sufficient for uniqueness of the other parameters of the inverse problem.

MSC 2000:: *35R30 Inverse problems for PDE
35Q60 PDE of electromagnetic theory and optics
35P25 Scattering theory (PDE)
78A45 Diffraction, scattering (optics)

Keywords: Maxwell's equations; inverse scattering problem; inverse obstacle problem; scattered waves; far field patterns; uniqueness

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