Printed radiating structures and transitions in multilayered substrates

Abstract

This article reviews an integral equation technique to efficiently solve printed structures consisting of conducting patches, slots, and ground planes residing in a stratified medium. The integral equation is cast into a mixed potential form and solved in the space domain. Both the electric and magnetic surface currents are considered as general two-dimensional surface currents with no prescribed or preferred direction. Thus, arbitrary shapes for patches and slots can be considered. After the formulation in the space domain, the integral equation is solved using the method of moments. Theoretical results are compared with measurements for three structures. These structures are: a wide slot antenna excited by a microstrip line; a microstrip line-slot linemicrostrip line transition; and transitions between microstrip lines embedded at different levels of a multilayered media.

Asymptotic Green's function of a surface magnetic current element on a perfect electric conductor plane covered by a lossy dielectric substrate

“…We compute it using an original variational formulation [26], [27]. The electric vector potential (5)-(7) can then be expressed in space domain by using (11), (13), (14), (16). The electromagnetic fields can be calculated by using (1), (2).…”

“…Integrals (10) become (11) The integral representation of Hankel function given by [22] can be easily transformed into (12) By choosing the same integration path for in the complex plane in (11) as in (12) [23], putting (13) (6) and taking (12) into account, (11) is transformed into (14) Integral (14) is the inverse Hankel transform of [21] and is known as Sommerfeld integral [9], [24].…”