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arXiv · 2309.11213

On scattering behavior of corner domains with anisotropic inhomogeneities

Pu-Zhao Kow·Mikko Salo·Henrik Shahgholian
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Abstract

This paper investigates the possible scattering and non-scattering behavior of an anisotropic and inhomogeneous Lipschitz medium at a fixed wave number and with a single incident field. We connect the anisotropic non-scattering problem to a Bernoulli type free boundary problem. By invoking methods from the theory of free boundaries, we show that an anisotropic medium with Lipschitz but not $C^{1,\alpha}$ boundary scatters every incident wave that satisfies a non-degeneracy condition.

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Pu-Zhao Kow, Mikko Salo, Henrik Shahgholian. 2023-09-20. On scattering behavior of corner domains with anisotropic inhomogeneities. https://doi.org/10.1137/23m1603029

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