%0 Conference Paper
%A Kleefeld, Andreas
%T Interior transmission eigenvalue trajectories
%I University of Göttingen
%M FZJ-2023-03328
%D 2023
%X Complex-valued eigenvalue trajectories parametrized by a constant index of refractionare investigated for the interior transmission problem. Several properties are derived forthe unit disk such as that the only intersection points with the real axis are Dirichleteigenvalues of the Laplacian. For general sufficiently smooth scatterers in two dimensionsthe only trajectorial limit points are shown to be Dirichlet eigenvalues of the Laplacian asthe refractive index tends to infinity. Additionally, numerical results for several scatterersare presented which give rise to an underlying one-to-one correspondence between thesetwo eigenvalue families which is finally stated as a conjecture.
%B Applied Inverse Problems
%C 4 Sep 2023 - 8 Sep 2023, Göttingen (Germany)
Y2 4 Sep 2023 - 8 Sep 2023
M2 Göttingen, Germany
%F PUB:(DE-HGF)6
%9 Conference Presentation
%R 10.34734/FZJ-2023-03328
%U https://juser.fz-juelich.de/record/1014478