Title
The Existence of an Infinite Discrete Set of Transmission Eigenvalues
Abstract
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
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 Cakoni15415.93
Drossos Gintides2305.42
H. Haddar38422.23