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.
All Science Journal Classification (ASJC) codes
- Computational Mathematics
- Applied Mathematics
- Inhomogeneous medium
- Interior transmission problem
- Inverse scattering
- Transmission eigenvalues