Radiation pattern of an electric line source located in a semi-infinite grounded dielectric slab calculated using expansion wave concept and geometrical theory of diffraction

Field Generated by a Magnetic Line Source Embedded in a Semi-Infinite Dielectric Slab

“…In comparison with the grounded dielectric slab, there are significant differences in the z-dependency of the space wave. In the case of the grounded dielectric slab the z-dependency does not depend on the source position z and it follows a source free transmission line equation [2,4,5]. This difference can be easily explained.…”

“…In our analysis the line sources are embedded in the dielectric slab. We have shown in [5] that the field excited by the magnetic PO current K P O in a free half-space can be expressed in terms of a so called truncated electric PO current J P O T . The basic relationship is…”

“…The two geometries differ in the absence or presence of a ground plane. Diffraction at the edge of multilayered dielectric structures can be analyzed using an aperture integral equation method [1][2][3][4][5]. An unknown equivalent electric/magnetic current backed by a magnetic/electric wall is introduced in such a way that space is split in several regions for which the Green's function are known.…”

“…The problem is that there can be poles located close to the branch point. As in the case of the grounded dielectric slab, we will take these poles into consideration using the proper transition function [2,4,5]. The transition function ensures a smooth dependence of the fields at intermediate distances from the source in all cases.…”

High‐frequency scattering on a semi‐infinite dielectric slab with a rising ground: TM case

“…The line sources have to be located in or on the dielectric slab. In this case, electromagnetic fields in the infinite dielectric slab generated by the line source can be approximated in a closed form at some above distance from the line source by using the expansion wave concept (EWC) [6,7]. We have shown in [5] that the field excited by the magnetic PO current K PO in a free half-space can be expressed in terms of a so-called truncated electric PO current J T PO .…”