Volume 124, Number 3, November 2018
|Number of page(s)||6|
|Section||Electromagnetism, Optics, Acoustics, Heat Transfer, Classical Mechanics, and Fluid Dynamics|
|Published online||05 December 2018|
Optical concentrator from a hyperbolic liquid-crystal metamaterial
1 Collège Doctoral 𝕃 4 for Physics of Complex Systems, Laboratoire de Physique et Chimie Théoriques, UMR Université de Lorraine-CNRS 7019 - 54506 Vandœuvre les Nancy, France
2 Departamento de Física, CCEN, Universidade Federal da Paraíba - 58051-900, João Pessoa, PB, Brazil
3 Departamento de Física, Universidade Federal Rural de Pernambuco - 52171-900, Recife, PE, Brazil
4 Laboratoire de Physique et Chimie Théoriques, UMR Université de Lorraine-CNRS 7019 54506 Vandœuvre les Nancy, France
Received: 29 June 2018
Accepted: 31 October 2018
We examine the optical properties of two different configurations of a cylindrical device made from a hyperbolic metamaterial with optical axis defined by circular and radial director fields. The hyperbolic metamaterial is a uniaxial anisotropic medium for which the ratio between ordinary and extraordinary permittivities is negative, leading to a particular effective geometry with two timelike coordinates in the metric (Kleinian signature). By using differential geometry tools we are able to perform a comparison between a simple geometrical optics treatment and the wave formalism that shows the concentration of light along the cylinder axis for the case of the circular field configuration, whatever the injection conditions are.
PACS: 42.15.-i – Geometrical optics / 42.25.-p – Wave optics / 61.30.Jf – Defects in liquid crystals
© EPLA, 2018
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