Influence of an external magnetic field on the dispersion properties of surface waves in the 1-D periodic biaxial metamaterial

¹ Department of materials for electronics and solar cells, National Technical University “Kharkiv Polytechnic Institute”, 21 Frunze str., 61002 Kharkiv, Ukraine
² Department of Solid-State Radiophysics, O.Ya. Usikov Institute for Radiophysics and Electronics of the NASU, 12 Ak. Proskura str., 61085 Kharkiv, Ukraine

^a e-mail: fedorin.ilya@gmail.com

Received: 25 February 2014
Revised: 31 March 2014
Accepted: 28 April 2014
Published online: 5 June 2014

Abstract

This paper analyzes surface waves (SW) supported by a biaxial metamaterial layer placed between two semi-infinite isotropic media. The metamaterial fabricated by periodic alternating semiconductor and dielectric layers and subjected to an external magnetic field. The magnetic field is applied parallel to the layers. We consider such structure in the long-wave limit so that we apply the effective medium theory to describe the electrodynamic properties. The necessary conditions of SW existence were found in terms of anisotropy of the structure. The dependences of penetration depth and attenuation constant (AC) of SW on the external magnetic field and thicknesses of the layers were examined analytically and numerically.