High-Frequency Green’s function for an infinite periodic line array of phased electric dipoles on an infinite stratified grounded dielectric slab

This paper deals with the spatial domain parametrization and physical interpretation of the asymptotic high-frequency solution pertaining to the asymptotic Green's function for an infinite periodic line array of phased parallel dipoles on an infinite stratified grounded dielectric slab. This Green's function is the basic constituent for deriving the array Green's function (AGF) for a semi-infinite array of dipoles, which is treated elsewhere. The linear array is synthesized as a superposition of smoothly phased periodicity-matched line sources. Each smoothly phased line source excites surface and leaky conical waves and associated coupled space wave contributions, which exhibit a transitional behavior at their appropriate shadow boundaries. The spectral integral which represents this space wave contribution is treated asymptotically by the use of an appropriate transition function.