A uniqueness result for the inverse electromagnetic scattering problem in a piecewise homogeneous medium |
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Authors: | Xiaodong Liu |
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Affiliation: | LSEC and Institute of Applied Mathematics, AMSS, Chinese Academy of Sciences , Beijing 100190, China |
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Abstract: | The scattering of time-harmonic electromagnetic plane waves by an impenetrable obstacle in a piecewise homogeneous medium is considered. The well-posedness of the direct problem is proved by the variational method. Under the condition that the wave numbers in the innermost and outermost homogeneous layers coincide, we then establish a uniqueness result for the inverse problem, that is, the unique determination of the obstacle and its boundary condition from a knowledge of the electric far field pattern for incident plane waves. The proof is based on a generalization of the mixed reciprocity relation. |
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Keywords: | uniqueness piecewise homogeneous medium Holmgren's uniqueness theorem inverse electromagnetic scattering |
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