Conference Presentation (After Call)

FZJ-2023-01315

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Interior transmission eigenvalue trajectories

Kleefeld, A. (Corresponding author)FZJ* ; Pieronek, L.

2023

Please use a persistent id in citations: http://hdl.handle.net/2128/34077

Abstract: Properties of complex-valued eigenvalue trajectories for the interior transmission problem parametrized by a constant index of refraction are investigated. At first, the unit disk is considered and several properties are derived such as that the only intersection points with the real axis are Dirichlet eigenvalues of the Laplacian. Then, for general sufficiently smooth scatterers also the only trajectorial limit points are shown to be Dirichlet eigenvalues of the Laplacian as the refractive index tends to infinity. Numerical results for several scatterers are presented which even give rise to an underlying one-to-one correspondence. Finally, a conjecture on the link between these two eigenvalue families is given.

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Contributing Institute(s):

1. Jülich Supercomputing Center (JSC)

Research Program(s):

1. 5112 - Cross-Domain Algorithms, Tools, Methods Labs (ATMLs) and Research Groups (POF4-511) (POF4-511)

Appears in the scientific report 2023

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Database coverage:

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