Abstract
It may happen that under a certain wave interrogation, a medium scatterer produces no scattering. In such a case, the scattering field is trapped inside the scatterer and forms a certain interior resonant mode. We are concerned with the behavior of the wave propagation inside a transparent scatterer. It turns out that the study can be boiled down to analyzing the interior transmission eigenvalue problem. For isotropic mediums, it is shown in a series of recent works that the transmission eigenfunctions possess rich patterns. In this paper, we show that those spectral patterns also hold for anisotropic mediums.
Funder
Hong Kong RGC General Research Funds
NSFC/RGC Joint Research Fund
France-Hong Kong ANR/RGC Joint Research
NSFC
Fundamental Research Funds for the Central Universities
Subject
Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis