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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:
78A46Inverse scattering problems
35P25Scattering theory (PDE)
35Q60PDEs in connection with optics and electromagnetic theory
35R30Inverse problems for PDE
78A25General electromagnetic theory
78A45Diffraction, scattering (optics)