  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.
