Investigation of scattering by corrugated structures using impedance boundary conditions

The problem of scattering by a two-dimensional corrugated surface is solved numerically by representing the corrugations by an impedance surface; the particular example of scattering by a partially corrugated conducting prism is considered. The corrugated portion of the prism is represented by an impedance surface and the behavior of the surface currents and the scattered fields is examined. An equation is derived for surface impedance accurately representing a corrugated surface; the equation shows that as long as the corrugation parameters are selected so that the surface impedance remains constant, the resulting surface currents and the radiated fields will also remain constant.