Refine
Year of publication
- 2024 (15) (remove)
Document Type
- Article (9)
- Book (2)
- Conference Proceeding (2)
- Part of a Book (1)
- Preprint (1)
Keywords
- Ageing (1)
- Anatomy (1)
- Capacitive model (1)
- Complex-valued eigenvalues (1)
- Constitutive model (1)
- Damage mechanics theory (1)
- Discontinuous fractures (1)
- Eigenvalue trajectories (1)
- Enzyme coverage (1)
- Field-effect biosensor (1)
- German (1)
- Interior transmission problem (1)
- MOS (1)
- Multianalyte detection (1)
- Muscle (1)
- Musculoskeletal system (1)
- Non-parallel fissures (1)
- Penicillin (1)
- Physiology (1)
- Raman spectroscopy (1)
- Uniaxial compression test (1)
- artificial olfactory image (1)
- catalytic metal (1)
- coupled Néel–Brownian relaxation dynamics (1)
- electronic nose (1)
- field-effect structure (1)
- frequency mixing magnetic detection (1)
- gas sensor (1)
- hydrogen peroxide (1)
- key performance indicators (1)
- large language models (1)
- light-addressing technologies (1)
- magnetic biosensing (1)
- magnetic nanoparticles (1)
- magnetic relaxation (1)
- metal-oxide-semiconductor structure (1)
- micromagnetic simulation (1)
- optical spore trapping (1)
- scanned light pulse technique (1)
- semantic role labeling (1)
- speaker attribution (1)
- sterilization conditions (1)
- temperature (1)
- visualization (1)
Institute
- Fachbereich Medizintechnik und Technomathematik (15) (remove)
This paper investigates the interior transmission problem for homogeneous media via eigenvalue trajectories parameterized by the magnitude of the refractive index. In the case that the scatterer is the unit disk, we prove that there is a one-to-one correspondence between complex-valued interior transmission eigenvalue trajectories and Dirichlet eigenvalues of the Laplacian which turn out to be exactly the trajectorial limit points as the refractive index tends to infinity. For general simply-connected scatterers in two or three dimensions, a corresponding relation is still open, but further theoretical results and numerical studies indicate a similar connection.