Wiener-Hopf analysis of the diffraction by a half-plane dipole array

We present a rigorous solution to the canonical problem of the scattering by a semi-infinite planar array of dipoles, presenting an edge truncation, when illuminated by a plane wave. By applying the Wiener-Hopf technique to the Z-transformed system of equations derived from the electric field integral equation, we provide rigorous close form expressions for the current on the dipoles. We prove that such currents are the superposition of the infinite array Floquet-wave solution plus a perturbation, which comprises both edge diffraction and bound surface waves excited by the edge truncation.