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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| Format: | Article |
| Language: | English |
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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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| author | Fenglong Qu |
| author_facet | Fenglong Qu |
| author_sort | Fenglong Qu |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-e0f3564c66d44ed3a66eecedff45fd9d |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-e0f3564c66d44ed3a66eecedff45fd9d2025-02-03T05:51:26ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/306272306272Uniqueness in Inverse Electromagnetic Conductive Scattering by Penetrable and Inhomogeneous Obstacles with a Lipschitz BoundaryFenglong Qu0School of Mathematics and Information Science, Yantai University, Yantai, Shandong 264005, ChinaThis 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.http://dx.doi.org/10.1155/2012/306272 |
| spellingShingle | Fenglong Qu Uniqueness in Inverse Electromagnetic Conductive Scattering by Penetrable and Inhomogeneous Obstacles with a Lipschitz Boundary Abstract and Applied Analysis |
| title | Uniqueness in Inverse Electromagnetic Conductive Scattering by Penetrable and Inhomogeneous Obstacles with a Lipschitz Boundary |
| title_full | Uniqueness in Inverse Electromagnetic Conductive Scattering by Penetrable and Inhomogeneous Obstacles with a Lipschitz Boundary |
| title_fullStr | Uniqueness in Inverse Electromagnetic Conductive Scattering by Penetrable and Inhomogeneous Obstacles with a Lipschitz Boundary |
| title_full_unstemmed | Uniqueness in Inverse Electromagnetic Conductive Scattering by Penetrable and Inhomogeneous Obstacles with a Lipschitz Boundary |
| title_short | Uniqueness in Inverse Electromagnetic Conductive Scattering by Penetrable and Inhomogeneous Obstacles with a Lipschitz Boundary |
| title_sort | uniqueness in inverse electromagnetic conductive scattering by penetrable and inhomogeneous obstacles with a lipschitz boundary |
| url | http://dx.doi.org/10.1155/2012/306272 |
| work_keys_str_mv | AT fenglongqu uniquenessininverseelectromagneticconductivescatteringbypenetrableandinhomogeneousobstacleswithalipschitzboundary |