Abstract | ||
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We prove the existence of an infinite discrete set of transmission eigenvalues corresponding to the scattering problem for isotropic and anisotropic inhomogeneous media for both the Helmholtz and Maxwell's equations. Our discussion includes the case of the interior transmission problem for an inhomogeneous medium with cavities, i.e., subregions with contrast zero. |
Year | DOI | Venue |
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2010 | 10.1137/090769338 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
interior transmission problem,transmission eigenvalues,inhomogeneous medium,inverse scattering | Isotropy,Mathematical optimization,Anisotropy,Mathematical analysis,Helmholtz free energy,Scattering,Mathematics,Eigenvalues and eigenvectors,Inverse scattering problem | Journal |
Volume | Issue | ISSN |
42 | 1 | 0036-1410 |
Citations | PageRank | References |
25 | 3.30 | 2 |
Authors | ||
3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Fioralba Cakoni | 1 | 54 | 15.93 |
Drossos Gintides | 2 | 30 | 5.42 |
H. Haddar | 3 | 84 | 22.23 |