TY  - CONF
AU  - Kleefeld, Andreas
TI  - Interior transmission eigenvalue trajectories
PB  - University of Göttingen
M1  - FZJ-2023-03328
PY  - 2023
AB  - 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.
T2  - Applied Inverse Problems
CY  - 4 Sep 2023 - 8 Sep 2023, Göttingen (Germany)
Y2  - 4 Sep 2023 - 8 Sep 2023
M2  - Göttingen, Germany
LB  - PUB:(DE-HGF)6
DO  - DOI:10.34734/FZJ-2023-03328
UR  - https://juser.fz-juelich.de/record/1014478
ER  -