Goos-Hänchen Lateral Displacements at the Interface between Isotropic and Gyroelectric Media

Jinbao Wang,Hanfeng He,Hui Huang,Huan Qi,Yuanyuan Dong,Cheng Chen

doi:10.1155/2013/596278

Jinbao Wang, Hanfeng He + Show 4 more

Open Access

https://doi.org/10.1155/2013/596278

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Abstract

A detailed study on Goos-Hänchen (GH) lateral displacements of the reflected and transmitted waves propagating at the interface between an isotropic medium and a gyroelectric medium in Voigt configuration is presented. After the reflection coefficient and transmission coefficient are derived, based on the stationary phase approach, GH lateral displacements are obtained analytically. The numerical results for a specific gyroelectric medium are also given. It shows that with the existence of an applied magnetic field, the GH effect occurs not only during total reflection but also during nontotal reflection, which is not true for isotropic media. Moreover, due to the nonreciprocal property of the gyroelectric medium, the sign of the incident angle also influences the displacements. Finite-element method simulations have verified the theoretical results.

Highlights

Gyroelectric medium is an electron plasma with an applied magnetic field
The magnetoplasma modes in Voigt, perpendicular, and Faraday configurations have been studied by Kushwaha and Halevi [1,2,3]; Gillies and Hlawiczka have done some researches on gyrotropic waveguides in detail [4,5,6,7,8], and dyadic Green’s functions for gyrotropic medium have been investigated by both Eroglu and Li [9,10,11]
We focus on the reflection and transmission characteristics of an electromagnetic beam propagating at the interface between an isotropic medium and a gyroelectric medium in Voigt configuration

Summary

Introduction

Gyroelectric medium is an electron plasma with an applied magnetic field. The characteristics of electromagnetic waves propagation in gyroelectric plasmas have been theoretically investigated in many literatures. Without the external magnetic field, both εg and τ are zero, and according to (7)-(8), the GH lateral displacements are zero, which are consistent with the fact that GH displacement is always a phenomenon along with total reflection for isotropic media case. We can see that if total reflection occurs, the lateral displacement Sr󸀠 is not zero, even for the case without applied magnetic field (τ = 0). It means that for isotropic media, there is GH effect during the total reflection, which is the fact we have known

Result and Discussion

Conclusion