Finiteness Results for Non-Scattering Herglotz Waves: The case of inhomogeneities obtained by very general perturbations of disks
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866911006858412032 |
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| author | Vogelius, Michael S. Xiao, Jingni |
| author_facet | Vogelius, Michael S. Xiao, Jingni |
| contents | 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 wave numbers such that Herglotz incident waves with a fixed density function are non-scattering. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07743 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finiteness Results for Non-Scattering Herglotz Waves: The case of inhomogeneities obtained by very general perturbations of disks Vogelius, Michael S. Xiao, Jingni Analysis of PDEs 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 wave numbers such that Herglotz incident waves with a fixed density function are non-scattering. |
| title | Finiteness Results for Non-Scattering Herglotz Waves: The case of inhomogeneities obtained by very general perturbations of disks |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2411.07743 |