Eur. Phys. J. B 46, 301-308 (2005)
https://doi.org/10.1140/epjb/e2005-00253-9

Positive and negative refraction of magnetoinductive waves in two dimensions

¹ Optical and Semiconductor Devices Group, Department of Electrical and Electronic Engineering, Imperial College London, Exhibition Road, London SW7 2AZ, UK
² Department of Physics, University of Osnabrück, 49069 Osnabrück, Germany

Corresponding author: ^a r.syms@imperial.ac.uk

Received: 12 April 2005
Published online: 11 August 2005

Abstract

Previous studies of magnetoinductive waves in homogeneous media with resonant elements consisting of capacitively loaded metallic loops are extended to the case when a single wave from one medium is incident upon another one. The relationship between the input and output angles and the reflection and transmission coefficients are determined with the aid of the dispersion equation for different scenarios. An expression is obtained for the power density vector, and it is shown that its component perpendicular to the boundary is conserved across the boundary. Using different configurations of the elements it is shown that both positive and negative refraction may occur.