Surface currents excited by an infinite slot on half-planes and ribbons

The distribution of surface current density on a perfectly conducting half-plane excited by an infinite axial slot is determined. The slot is assumed to be of small width and it is excited throughout its length by a uniform transverse voltage. It is shown that the surface currents which flow toward the edge of the half-plane are somewhat smaller than they would be if they were on an infinite plane. For sake of comparison the surface currents of an infinite axial slot on a thin elliptic cylinder or ribbon are also examined