Exact geometrical optics scattering by a right-angle wedge made of double-negative material

The scattering of a plane wave incident upon a right-angle wedge made of a metamaterial whose permittivity and permeability are the opposites of those of the space surrounding the wedge is considered. It is shown that geometrical optics yields the exact solution to this scattering problem, for a certain range of angles of incidence and arbitrary polarization