Electromagnetic radiation and scattering for a gap in a corner backed by a cavity filled with DNG metamaterial

A partially covered cavity, or trench, located along the edge of two intersecting metallic walls perpendicular to each other is considered. The cross section of the cavity is a quarter ellipse and is slotted along the interfocal distance. The cavity is filled with a double‐negative (DNG) metamaterial that is isoimpedance to the material filling the half‐space above the trench. This two‐dimensional boundary value problem is solved exactly, in the frequency domain, when the primary field is either a plane wave of arbitrary polarization and direction of incidence or an electric or magnetic line source. Numerical results are exhibited and discussed.