Tailoring Effective Media by Mie Resonances of Radially-Anisotropic Cylinders

Photonics

Henrik Kettunen¹  Henrik Wallén² 

[1] Department of Mathematics and Statistics, University of Helsinki, P.O. Box 68, Helsinki FI-00014, Finland;Department of Radio Science and Engineering, School of Electrical Engineering, Aalto University, P.O. Box 13000, FI-00076 Aalto, Finland; E-Mails:

关键词: radial anisotropy;    Mie scattering;    artificial magnetism;    double-negative media;    metamaterials;    homogenization;   

DOI  :  10.3390/photonics2020509

来源: mdpi

【 摘 要 】

This paper studies constructing advanced effective materials using arrays of circular radially-anisotropic (RA) cylinders. Homogenization of such cylinders is considered in an electrodynamic case based on Mie scattering theory. The homogenization procedure consists of two steps. First, we present an effectively isotropic model for individual cylinders, and second, we discuss the modeling of a lattice of RA cylinders. Radial anisotropy brings us extra parameters, which makes it possible to adjust the desired effective response for a fixed frequency. The analysis still remains simple enough, enabling a derivation of analytical design equations. The considered applications include generating artificial magnetism using all-dielectric cylinders, which is currently a very sought-after phenomenon in optical frequencies. We also study how negative refraction is achieved using magnetodielectric RA cylinders.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.