The WH solution for the radiation from a planar waveguide flanged by a pmc wall

The aim of this paper is to resort to the Generalized Wiener Hopf (GWH) technique to obtain the solution of a new canonical problem constituted by a planar waveguide flanged by a PMC wall. While developing this task we observed that the network representation in the Laplace domain of an angular region bounded by a PCM wall is required. This representation is constituted of a problem of Fredholm factorization that (up to now) it has not been considered in literature. The connection of the one port representing the angular region and the one port representing the planar region constitute a network that immediately provides a Fredholm integral equation of second kind easy to be solved.