Abstract

This paper investigates the characteristics of surface waves propagating on a grounded anisotropic dielectric slab. Distinct from the existing analyses that generally assume that the fields of surface wave uniformly distribute along the transverse direction of the infinitely large grounded slab, our method takes into account the field variations along the transverse direction of a finite-width slab. By solving Maxwell’s equations in closed-form, it is revealed that no pure transverse magnetic (TM) or transverse electric (TE) mode exists if the fields are non-uniformly distributed along the transverse direction of the grounded slab. Instead, two hybrid modes, namely quasi-TM and quasi-TE modes, are supported. In addition, the propagation characteristics of two hybrid modes supported by the grounded anisotropic slab are analyzed in terms of the slab thickness, slab width, as well as the relative permittivity tensor of the anisotropic slab. Furthermore, different methods are employed to compare the analyses, as well as to validate our derivations. The proposed method is very suitable for practical engineering applications.

Highlights

  • Over recent decades, surface waves have attracted extensive attention due to their unique characteristics of existing at the interface of two different media with the field exponentially decaying away from the interface

  • A lot of studies have been carried out to characterize surface waves propagating along a grounded dielectric slab, the analyses only focus on structures that are of infinite length and width, Appl

  • This paper investigates the characteristics of surface waves propagating on a grounded anisotropic dielectric slab, especially focuses on the slab with finite width

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Summary

Introduction

Surface waves have attracted extensive attention due to their unique characteristics of existing at the interface of two different media with the field exponentially decaying away from the interface. It is found that surface waves propagate away from the longitudinal direction of the finite-width slab with some certain angle, and the angle decreases as the slab width increases; (iii) Different from the existing analyses of surface waves whose fields distribute uniformly along the transverse direction of the infinitely large slab, our method takes into account the variations of the fields distributed on the transverse direction of the grounded anisotropic slab, which has a more practical relevance and can provide a more accurate solution for engineering applications such as designing wideband and high gain antennas based on grounded dielectric slabs [9,18,19,20]. It is worth mentioning that our method is suitable for grounded isotropic dielectric slab

Infinitely Large Anisotropic Grounded Slab
TM Mode Surface Wave
Hybrid Mode Surface Wave
Finite-Width Anisotropic Grounded Slab
Comparion of Different Methods
Field Distributions of Surface Waves
Conclusions
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