Finiteness Results for Nonscattering Herglotz Waves: The Case of Inhomogeneities Obtained by Very General Perturbations of Disks
We study nonscattering 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 wave numbers such that Herglotz incident waves with a fixed density function are nonscattering.
Authors
- Michael Vogelius (ORCID: https://orcid.org/0000-0001-6873-6995)
- Jingni Xiao (ORCID: https://orcid.org/0000-0001-8604-8352)
Institutions
- Rutgers, The State University of New Jersey (US)
- Aarhus University (DK)
- Drexel University (US)
Publication Details
- Journal
- SIAM Journal on Mathematical Analysis
- Published
- 2025-09-03
- DOI
- https://doi.org/10.1137/24m1709844
- Citations
- 1
- Primary Topic
- Numerical methods in engineering
- Type
- article
- Field-Weighted Citation Impact
- 0.86
Funders
- National Science Foundation