Uniqueness in Inverse Electromagnetic Conductive Scattering by Penetrable and Inhomogeneous Obstacles with a Lipschitz Boundary
This paper is concerned with the problem of scattering of time-harmonic electromagnetic waves by a penetrable, inhomogeneous, Lipschitz obstacle covered with a thin layer of high conductivity. The well posedness of the direct problem is established by the variational method. The inverse problem is a...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/306272 |
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| Summary: | This paper is concerned with the problem of scattering of time-harmonic electromagnetic
waves by a penetrable, inhomogeneous, Lipschitz obstacle covered with a thin layer of high
conductivity. The well posedness of the direct problem is established by the variational method. The
inverse problem is also considered in this paper. Under certain assumptions, a uniqueness result is
obtained for determining the shape and location of the obstacle and the corresponding surface parameter λ(x) from the knowledge of the near field data, assuming that the incident fields are electric
dipoles located on a large sphere with polarization p∈ℝ3. Our results extend those in the paper by F. Hettlich (1996) to the
case of inhomogeneous Lipschitz obstacles. |
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| ISSN: | 1085-3375 1687-0409 |