Wiener-Hopf analysis of the scattering by a two dimensional periodic semi-infinite array of dipoles

We present a rigorous solution of the scattering of plane waves by a truncated planar array of dipoles which is infinite and periodic in one direction and semi-infinite in the orthogonal direction, thus presenting an edge truncation. By applying the Wiener-Hopf technique to the Z-transformed system of equations derived from the electric field integral equation, the contributions to the current on the dipoles due to the scattering by the edge of the array and the excitation of surface waves are obtained rigorously.