2024

Kow, Pu-Zhao; Salo, Mikko; Shahgholian, Henrik

This paper investigates the possible scattering and nonscattering behavior of an anisotropic and inhomogeneous Lipschitz medium at a fixed wave number and with a single incident field. We connect the anisotropic nonscattering 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 𝐶1,𝛼 boundary scatters every incident wave that satisfies a nondegeneracy condition.