Exact geometrical optics solution for an isorefractive wedge structure

A structure consisting of four right-angle wedges with a common edge, made of four different materials isorefractive to one another is considered. If a certain relation is satisfied among the four intrinsic impedances of the materials, then an incident plane wave generates reflected and transmitted plane waves that constitute the exact solution to the boundary-value problem. This geometrical-optics exact solution is valid for arbitrary polarization and arbitrary direction of incidence of the primary wave.