The interior transmission eigenvalue problem for absorbing media

@article{Cakoni2012TheIT,
  title={The interior transmission eigenvalue problem for absorbing media},
  author={Fioralba Cakoni and David Colton and Houssem Haddar},
  journal={Inverse Problems},
  year={2012},
  volume={28},
  pages={045005}
}
In recent years, the transmission eigenvalue problem has been extensively studied for non-absorbing media. In this paper, we initiate the study of this problem for absorbing media. In particular, we show that, in the case of absorbing media, transmission eigenvalues form a discrete set, exist for sufficiently small absorption and for spherically stratified media exist without this assumption. For constant index of refraction, we also obtain regions in the complex plane where the transmission… 

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