A ONE-SIDED VERSION OF THE POISSON SUM FORMULA FOR SEMIINFINITE ARRAYGREENS-FUNCTIONS

The Poisson sum formula provides an efficient method for transforming many slowly converging infinite summations into equivalent, but more r apidly converging infinite summations, Electromagnetic applications fo r this result come in the analysis of infinite arrays of periodic scat terers, such as frequency selective surfaces, However, in some applica tions, such as when one desires the radiation of a semi-infinite array of periodically spaced currents, the original form of the Poisson sum formula is inappropriate. For such applications, we derive a one-side d version of the formula and apply it to the radiation from a semi-inf inite array of line sources with currents dictated by Floquet's theore m, The one-sided Poisson sum transformation yields enhanced convergenc e characteristics for certain regions of application as a result of th e inverse bandwidth relationship between Fourier transform pairs, The application of it to a semi-infinite line source array also provides a plane wave representation for the fields, which makes for an extensio n of the solution to geometries with stratified dielectric media.