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Preprint
Finiteness Results for Non-Scattering Herglotz Waves: The case of inhomogeneities obtained by very general perturbations of disks
12 Nov 2024
Abstract
We study non-scattering phenomena associated with the time-harmonic Helmholtz
equation in two dimensions. For very general classes of star-shaped domains, we
show that there are at most finitely many wavenumbers such that Herglotz
incident waves with a fixed density function are non-scattering.
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Details
- Title
- Finiteness Results for Non-Scattering Herglotz Waves: The case of inhomogeneities obtained by very general perturbations of disks
- Creators
- Michael S VogeliusJingni Xiao
- Resource Type
- Preprint
- Language
- English
- Academic Unit
- Mathematics
- Other Identifier
- 991021961015404721