# 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}
}
• Published 30 September 2014
• Mathematics
• Inverse Problems
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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