Refine
Year of publication
Institute
- Fachbereich Medizintechnik und Technomathematik (1594)
- Fachbereich Wirtschaftswissenschaften (705)
- Fachbereich Elektrotechnik und Informationstechnik (638)
- Fachbereich Energietechnik (609)
- Fachbereich Chemie und Biotechnologie (602)
- INB - Institut für Nano- und Biotechnologien (542)
- Fachbereich Maschinenbau und Mechatronik (490)
- IfB - Institut für Bioengineering (451)
- Fachbereich Luft- und Raumfahrttechnik (380)
- Fachbereich Bauingenieurwesen (333)
Language
Document Type
- Article (5658) (remove)
Keywords
- Einspielen <Werkstoff> (7)
- Multimediamarkt (6)
- Rapid prototyping (5)
- avalanche (5)
- Earthquake (4)
- FEM (4)
- Finite-Elemente-Methode (4)
- LAPS (4)
- Rapid Prototyping (4)
- biosensors (4)
Analysis and computation of the transmission eigenvalues with a conductive boundary condition
(2022)
We provide a new analytical and computational study of the transmission eigenvalues with a conductive boundary condition. These eigenvalues are derived from the scalar inverse scattering problem for an inhomogeneous material with a conductive boundary condition. The goal is to study how these eigenvalues depend on the material parameters in order to estimate the refractive index. The analytical questions we study are: deriving Faber–Krahn type lower bounds, the discreteness and limiting behavior of the transmission eigenvalues as the conductivity tends to infinity for a sign changing contrast. We also provide a numerical study of a new boundary integral equation for computing the eigenvalues. Lastly, using the limiting behavior we will numerically estimate the refractive index from the eigenvalues provided the conductivity is sufficiently large but unknown.