Multilayered Transmission Lines on Quasi-planar Substrates With Anisotropic Medium

Veenu Kamra,Achim Dreher

doi:10.5194/ars-17-77-2019

Abstract

Abstract. This paper exhibits the extension of the discrete mode matching (DMM) method to analyze conformal structures with anisotropy. It represents a simple formalism as a basis to analyze multilayered structures with quasi-planar anisotropic dielectric layers. The dyadic Green's function is then calculated using a full-wave equivalent circuit (FWEC) of the structure, where each layer is represented with the hybrid block consisting of the tangential field components. The application is demonstrated by computing propagation constants for partially filled quasi-planar waveguides and microstrip lines with isotropic, uniaxial and biaxial anisotropic dielectrics.

Highlights

Microstrip structures are very widely used in antennas and microwave devices for navigation and communication systems in transport, aeronautics and space
The focus is on the full-wave analysis method known as discrete mode matching (DMM) method, which was earlier successfully used to analyze microwave structures with high accuracy
The present contribution extends the efficient numerical method, i.e. DMM, to analyze conformal structures with anisotropic materials. This method uses the exact eigenvalues of the waveguide modes, which are dependent on the lateral boundary conditions. It requires only 1-D discretization along the horizontal tangential direction of the interfaces for the analysis of multilayered transmission line structures as the structure is assumed infinite in the propagation direction

Summary

Introduction

Microstrip structures are very widely used in antennas and microwave devices for navigation and communication systems in transport, aeronautics and space. The present contribution extends the efficient numerical method, i.e. DMM, to analyze conformal structures with anisotropic materials. This method uses the exact eigenvalues of the waveguide modes, which are dependent on the lateral boundary conditions. It requires only 1-D discretization along the horizontal tangential direction of the interfaces for the analysis of multilayered transmission line structures as the structure is assumed infinite in the propagation direction. Dreher: Multilayered Transmission Lines ized by the free-space wave number k0, the relation between the field components can be written as Figure 1.

Field equations

Discrete mode matching method

Waveguides

Microstrip line

Conclusions