Abstract

A theoretical study of the electromagnetic propagation in a complex medium suspended multilayer coplanar waveguide (CPW) is presented. The study is based on the generalized exponential matrix technique (GEMT) combined with Galerkin’s spectral method of moments applied to a CPW printed on a bianisotropic medium. The analytical formulation is based on a Full-GEMT, a method that avoids usual procedures of heavy and tedious mathematical expressions in the development of calculations and uses matrix-based mathematical expressions instead. These particularities are exploited to develop a mathematical model for the characterization of wave propagation in a three-layer shielded suspended CPW structure. This study is based on the development of mathematical formulations in full compact matrix-based expressions resulting in Green’s functions in a matrix form. The implemented method incorporates a new accelerating procedure developed in the GEMT which provides an initial value used to speed up searching for the exact solution in the principal computation code. This helped us to obtain accurate solutions with tolerable computing time. Good agreements have been achieved with the literature in terms of accuracy and rapid convergence. The results for different cases of bianisotropy have been investigated, and particularly, the effect on the dispersion characteristics is presented and compared with the isotropic case.

Highlights

  • To establish strong foundations for the development of modern and mass-market applications in the field of telecommunications, microwave designers have to develop further efficient devices, Electronics 2020, 9, 243; doi:10.3390/electronics9020243 www.mdpi.com/journal/electronicsElectronics 2020, 9, 243 which aim to meet the specific needs of modern telecommunication systems, the 5G technology

  • We propose a novel approach for the numerical acceleration of the spectral Galerkin-based method of moments (SGMoM) for the analysis of bianisotropic medium-based microstrip structures by accelerating and fixing problems of the convergence of the series summation in the elements of the Galerkin’s matrix based on Green’s functions

  • Full-generalized exponential matrix technique (GEMT) developed developed in in aa matrix matrix form form for for the the medium characterization of the bianisotropic-substrate. This resulted in compact matrix form characterization of the bianisotropic-substrate coplanar waveguide (CPW) structure

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Summary

Introduction

To establish strong foundations for the development of modern and mass-market applications in the field of telecommunications, microwave designers have to develop further efficient devices, Electronics 2020, 9, 243; doi:10.3390/electronics9020243 www.mdpi.com/journal/electronicsElectronics 2020, 9, 243 which aim to meet the specific needs of modern telecommunication systems, the 5G technology. An important class of existing microwave devices is that exploiting the particular properties of bianisotropic media [1] for the development of special and innovative devices that may respond to the needs of modern technologies [2]. In this class of promising materials, we may mention, for example, non-reciprocal, gyrotropic, ferrites, chirals, metamaterials, metasurfaces, etc. As the science of materials has tremendously advanced, the concept of bianisotropic media has substantially reemerged as a field of importance in microwaves and optics technology [5,6,7]

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