Exact scattering by metal cylinders truncated by a metal plane

The behavior of electromagnetic fields near the junctions of metallic structures is important in a variety of applications, from computers to indoor propagation to ground vehicles, ships, airplanes and satellites. In this work, such behavior is analyzed for several metallic cylinders that are truncated by a metal plane oriented perpendicularly to the cylinders´ generators. Exact solutions are obtained by separation of variables for plane-wave incidence on circular, elliptic and parabolic cylinders, wedges, half-planes, and strips. Particular attention is paid to the surface current densities on the cylinders and on the truncating plane. The analysis is performed in the frequency domain with a time-dependence factor exp(+jωt) that is omitted throughout.