Plane Wave Solutions for Right-angled Interior Impedance Wedges

Abstract

We consider the reflection of a plane electromagnetic wave incident obliquely in a right-angled corner region with impedance walls. The surface impedances are taken in their most general tensor form. We determine the conditions under which the sum of incident, singly- and doubly reflected waves provides an exact solution of the problem, and report several new explicitly solvable cases. This geometry is relevant to the analysis of finitely conducting waveguides and resonators as well as to the propagation of radio waves inside buildings.