Radiation due to an infinitely imposed current line source near a dielectric elliptic waveguide: A dyadic Green's function approach

Abstract

[1] In this paper, the dyadic Green's function technique has been employed to characterize electromagnetic radiation of an imposed current line source in the presence of an isotropic dielectric elliptic cylinder. The current density along the infinitely long wire has a constant amplitude but a varying phase. The elliptic cylinder is considered to be infinite in length. In order to analyze the problem, the dyadic Green's functions are expressed in terms of elliptic vector wave functions and the general equations needed to solve for the reflection and transmission coefficients are derived from the boundary conditions. These derived equations are transformed into, and solved using, a linear equation system. Numerically, the radiation patterns of the infinitely long wire are computed, plotted, and shown for various cases where the position and distance of the line source are varied. Both lossy and lossless dielectric media for the elliptic cylinder are considered. The results are believed to be very useful to many practical problems, and especially to characterize cable radiation or transmission line power leakage in tunnels.

2-D Green’s Function for an Elliptically Layered Cylindrical PEC Enclosure

“…Another significant case is represented by layered media with elliptical cross section, since they allow representing non-fully symmetric objects and better approximating real targets. A first solution for computing the dyadic Green's function of a single-layer elliptical cylinder has been provided by Tai in [3], and further solving procedures has been later proposed [16], [17]. The scattering from elliptically layered structures has also been considered in several other works [18]- [22].…”

Higher-order modes for broadside-coupled striplines in a shield

“…The motivation of the present work is to develop such analytic expressions for higher‐order modes. We note that various analytic expressions were developed and successfully applied to study wave propagation characteristics of other waveguides and transmission lines [ Hyde et al , 2009; Li et al , 2004; Tornero and Melcón , 2004]. A mode‐matching method using the image method and residue calculus was developed to analyze various rectangular‐shaped transmission lines [ Cho and Eom , 2001].…”