Journal article
Finiteness Results for Nonscattering Herglotz Waves: The Case of Inhomogeneities Obtained by Very General Perturbations of Disks
SIAM journal on mathematical analysis, v 57(5), pp 5135-5160
31 Oct 2025
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Abstract
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.
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Details
- Title
- Finiteness Results for Nonscattering Herglotz Waves: The Case of Inhomogeneities Obtained by Very General Perturbations of Disks
- Creators
- Michael S. Vogelius - Rutgers, The State University of New JerseyJingni Xiao - Drexel University
- Publication Details
- SIAM journal on mathematical analysis, v 57(5), pp 5135-5160
- Publisher
- Society for Industrial and Applied Mathematics
- Number of pages
- 26
- Grant note
- NSF: DMS-23-07737, DMS-22-05912
The work of the first author was partially supported by NSF grant DMS-22-05912. The work of the second author was partially supported by NSF grant DMS-23-07737.
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:001589086500014
- Scopus ID
- 2-s2.0-105018668764
- Other Identifier
- 991022097519004721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics, Applied