Extreme nonlinear electrodynamics in metamaterials with very small linear dielectric permittivity
- 28 April 2010
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 81 (4)
- https://doi.org/10.1103/physreva.81.043839
Abstract
We consider a subwavelength periodic layered medium whose slabs are filled by arbitrary linear metamaterials and standard nonlinear Kerr media and show that the homogenized medium behaves as a Kerr medium whose parameters can assume values not available in standard materials. Exploiting such a parameter availability, we focus on the situation where the linear relative dielectric permittivity is very small, thus allowing the observation of the extreme nonlinear regime where the nonlinear polarization is comparable with or even greater than the linear part of the overall dielectric response. The behavior of the electromagnetic field in the extreme nonlinear regime is very peculiar and characterized by interesting features such as the transverse power flow reversing. In order to probe this regime, we consider a class of fields (transverse magnetic nonlinear guided waves) admitting full analytical description and show that these waves are allowed to propagate even in media with and since the nonlinear polarization produces a positive overall effective permittivity. The considered nonlinear waves exhibit, in addition to the mentioned features, a number of interesting properties like hyperfocusing induced by the phase difference between the field components. DOI: http://dx.doi.org/10.1103/PhysRevA.81.043839 © 2010 The American Physical Society
Keywords
This publication has 35 references indexed in Scilit:
- Optical MetamaterialsPublished by Springer Science and Business Media LLC ,2010
- Physics and Applications of Negative Refractive Index MaterialsPublished by Taylor & Francis Ltd ,2008
- Experimental Demonstration of Electromagnetic Tunneling Through an Epsilon-Near-Zero Metamaterial at Microwave FrequenciesPhysical Review Letters, 2008
- Circuits with Light at Nanoscales: Optical Nanocircuits Inspired by MetamaterialsScience, 2007
- Epsilon-near-zero metamaterials and electromagnetic sources: Tailoring the radiation phase patternPhysical Review B, 2007
- Metamaterial Electromagnetic Cloak at Microwave FrequenciesScience, 2006
- Tunneling of Electromagnetic Energy through Subwavelength Channels and Bends using-Near-Zero MaterialsPhysical Review Letters, 2006
- Controlling Electromagnetic FieldsScience, 2006
- Sub-Diffraction-Limited Optical Imaging with a Silver SuperlensScience, 2005
- Negative Refraction Makes a Perfect LensPhysical Review Letters, 2000