A full-wave mixed potential mode-matching method for the analysis of planar or quasi-planar transmission lines

Abstract

A newly proposed and tested full-wave mixed potential mode-matching method is presented for the analysis of planar and/or quasi-planar transmission lines. The transmission lines under investigation consist of layered (stratified) and nonlayered dielectric substrates and metal strips of finite thickness. The y-directed hybrid TE and TM Hertzian potentials, perpendicular to the interfaces between each layered region, are employed in the layered regions. The nonlayered regions, which consist of dielectric step discontinuities that destroy the layered configuration in the horizontal plane, utilize the x -directed hybrid TE and TM Hertzian potentials parallel to the horizontal plane. As a direct result, the full-wave formulation of the transmission line problem becomes systematic and easy to handle. Extensive analyses of a particular case study show that the relative convergence criterion needs to be satisfied to obtain accurate electromagnetic field solutions. The theoretical results obtained here are in very good agreement with the published data for various transmission line structures, which are the special limiting cases of the particular case study. The applications of the new formulation to the proximity effects of microstrip and Microslab' lines are also illustrated by examples. Fig. 1. A generalized planar and/or quasi-planar transmission lines structure for microwave, millimeter-wave, and optoelectronic applica-

Computer‐aided quasi‐static analysis of coplanar transmission lines for microwave integrated circuits using the finite difference method

“…Squares and stars correspond to data for symmetric and asymmetric lines, respectively, obtained from ref. 16.…”

“…These results, calculated by using FDM, are compared to those obtained from ref. 16 that were computed by a full-wave technique at 1.0 GHz. As can be seen from Figure 2, the agreement between the dynamic and quasi-static solutions is very good.…”

“…It should be added, however, that as shown ref. 16 ( Figs. 9 and lo), the full-wave technique predicts the change in ECff to be at most 4.5% when frequency increases from 1 to 5 GHz.…”

Transmission characteristics of finite-width conductor-backed coplanar waveguide

“…As frequency decreases, the MSL mode no longer confines its electromagnetic energy underneath the metal strips but more energy spreads into the nearby air region. Because of this proximity effect in the presence of the finite-width substrate [35], the normalized phase constants of the MSL mode, as denoted by solid line and circular symbols in Fig. 4, greatly decrease in the low frequency limit.…”