A NOTE ON THE DIFFRACTION OF A CYLINDRICAL WAVE BY A PERFECTLY CONDUCTING HALF-PLANE

Abstract

The most easily derived solutions in diffraction theory are for the case of incident plane waves. The solution for a line-source can then be obtained by a further integration, but this method, although well known in some fields, does not seem to have been applied in diffraction theory. Because of its importance in more complicated problems it is here illustrated by the example of a line-source in the presence of an infinitely thin, perfectly conducting half-plane. The introduction of Hankel functions is avoided, and the solution appears in a useful form, equivalent to that given by Macdonald and analogous to Sommerfeld's famous solution for an incident plane wave.