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A uniqueness theorem for an inverse electromagnetic scattering problem in inhomogeneous anisotropic media. (English) Zbl 1051.78013

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.

MSC:

78A46 Inverse problems (including inverse scattering) in optics and electromagnetic theory
35P25 Scattering theory for PDEs
35Q60 PDEs in connection with optics and electromagnetic theory
35R30 Inverse problems for PDEs
78A25 Electromagnetic theory (general)
78A45 Diffraction, scattering
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