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Zbl 1051.78013
Cakoni, Fioralba; Colton, David
A uniqueness theorem for an inverse electromagnetic scattering problem in inhomogeneous anisotropic media. (English)
[J] Proc. Edinb. Math. Soc., II. Ser. 46, No. 2, 293-314 (2003). ISSN 0013-0915; ISSN 1464-3839/e

The authors formulate the direct scattering problem for electromagnetic waves as a boundary-value problem. The uniqueness theorem for this problem is formulated and proved, as well as the regularity theorem. The interior transmission problem is investigated, and the uniqueness theorem is proved for it as well. The results obtained for both problems serve to prove the uniqueness theorem for the inverse scattering problem.
[Alexander V. Gemintern (Haifa)]

MSC 2000:: *78A46 Inverse scattering problems
35P25 Scattering theory (PDE)
35Q60 PDE of electromagnetic theory and optics
35R30 Inverse problems for PDE
78A25 General electromagnetic theory
78A45 Diffraction, scattering (optics)

Keywords: anisotropic media; electromagnetic scattering; conductive boundary condition; inverse scattering; mixed boundary conditions; transmission problem.

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