%0 Journal Article
%A Harris, Isaac
%A Kleefeld, Andreas
%T Analysis and computation of the transmission eigenvalues with a conductive boundary condition
%J Applicable analysis
%V 101
%N 6
%@ 1026-7360
%M FZJ-2020-02436
%P 1880-1895
%D 2022
%X We provide a new analytical and computational study of the transmission eigenvalueswith a conductive boundary condition. These eigenvalues are derived fromthe scalar inverse scattering problem for an inhomogeneous material with a conductiveboundary condition. The goal is to study how these eigenvalues depend onthe material parameters in order to estimate the refractive index. The analyticalquestions we study are: deriving Faber-Krahn type lower bounds, the discretenessand limiting behavior of the transmission eigenvalues as the conductivity tends toinfinity for a sign changing contrast. We also provide a numerical study of a newboundary integral equation for computing the eigenvalues. Lastly, using the limitingbehavior we will numerically estimate the refractive index from the eigenvaluesprovided the conductivity is sufficiently large but unknown.
%F PUB:(DE-HGF)16
%9 Journal Article
%U <Go to ISI:>//WOS:000547422000001
%R 10.1080/00036811.2020.1789598
%U https://juser.fz-juelich.de/record/877748