Spectral properties of the exterior transmission eigenvalue problem

@article{Colton2014SpectralPO,
  title={Spectral properties of the exterior transmission eigenvalue problem},
  author={David Colton and Shixu Meng},
  journal={Inverse Problems},
  year={2014},
  volume={30},
  pages={105010}
}
The exterior transmission eigenvalue problem arises naturally when one considers the scattering of point sources situated in a cavity by the penetrable nonabsorbable boundary of the cavity. Here we show that for constant index of refraction the exterior transmission eigenvalues form a discrete set and for the case of a spherically stratified medium the eigenvalues (both real and complex) uniquely determine the index of refraction. 

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