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Photonics 2015, 2(2), 509-526; doi:10.3390/photonics2020509

Tailoring Effective Media by Mie Resonances of Radially-Anisotropic Cylinders

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
Author to whom correspondence should be addressed.
Received: 18 April 2015 / Accepted: 9 May 2015 / Published: 14 May 2015
(This article belongs to the Special Issue New Frontiers in Plasmonics and Metamaterials)
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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. View Full-Text
Keywords: radial anisotropy; Mie scattering; artificial magnetism; double-negative media; metamaterials; homogenization radial anisotropy; Mie scattering; artificial magnetism; double-negative media; metamaterials; homogenization

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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Kettunen, H.; Wallén, H.; Sihvola, A. Tailoring Effective Media by Mie Resonances of Radially-Anisotropic Cylinders. Photonics 2015, 2, 509-526.

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