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arXiv · 2411.07743

Finiteness Results for Non-Scattering Herglotz Waves: The case of inhomogeneities obtained by very general perturbations of disks

Michael S. Vogelius·Jingni Xiao
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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 wave numbers such that Herglotz incident waves with a fixed density function are non-scattering.

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Michael S. Vogelius, Jingni Xiao. 2024-11-12. Finiteness Results for Non-Scattering Herglotz Waves: The case of inhomogeneities obtained by very general perturbations of disks. https://arxiv.org/abs/2411.07743

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