Modeling of Glide-Symmetric Dielectric Structures

Zvonimir Sipus,Marko Bosiljevac

doi:10.3390/sym11060805

Abstract

Recently, there has been an increased interest in exploring periodic structures having higher symmetry properties, primarily based on metallic realization. The design of dielectric glide-symmetric structures has many challenges, and this paper presents a systematic analysis approach based on Floquet mode decomposition and mode matching technique. The presented procedure connects the analysis of standard periodic structures and glide-symmetric realizations, thus giving insight into the wave propagation and interaction characteristics. The obtained results were verified in comparison with results from known references and using a commercial solver, proving that the proposed analysis technique is inherently accurate, and the degree of accuracy depends only on the number of modes used. The proposed analysis approach represents the first step in the design process of dielectric periodic structures with glide symmetry.

Highlights

Interest in different artificial electromagnetic structures has led to investigation of various structures, applications and ideas in general
For a periodic structure we can say that it possesses a higher symmetry when the unit cell coincides with itself after more than one geometrical operation of a different kind—translation, rotation, mirroring, etc. [1,2,3]
The idea to combine different types of symmetry in a periodic structure will have a strong influence on the propagation properties

Summary

Introduction

Interest in different artificial electromagnetic structures has led to investigation of various structures, applications and ideas in general. Luneburg lenses [4,5], leaky-wave antennas with low frequency dependency [6], cost-efficient gap waveguide technology [7,8], contactless flanges with low leakage [9], low-dispersive propagation in periodic structure-based transmission lines [10,11], and fully metallic reconfigurable filters and phase shifters [12]. These results were obtained using metallic structures, in many applications only dielectric types of materials are allowed. The first part of the paper describes the analysis procedure and it is followed by initial results obtained for a test case found in literature, while the properties of the glide-symmetric dielectric structures are discussed in the second part of the paper

Analysis of Waveguides Containing Periodic Dielectric Structures

Results

Propagation