On scattering behavior of corner domains with anisotropic inhomogeneities
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 C1,α boundary scatters every incident wave that satisfies a non-degeneracy condition.
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