High-frequency analysis of a semi-infinite array of line sources

The electromagnetic radiation and scattering from a semi-infinite array of line currents has been widely investigated in literature. In this paper, the problem of a semi-infinite array of magnetic line currents located on a perfectly conducting half-plane has been studied. This can simulate a slot array on a semi-infinite ground-plane. The field at finite distance is evaluated by superimposing the contributions of each source, which radiates with the exact Green´s function of the half-plane. Next, via a suitable application of the Poisson summation formula, the same field is represented as series of spectral integrals, that describe the radiation of the currents relevant to Floquet modes. In the spectral domain, this series is evaluated in a closed form when the currents have the same amplitude; thus, obtaining a unique spectral integral which is arranged in a suitable form for an asymptotic evaluation.