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AGU: Radio Science

 

Keywords

  • metamaterials
  • nonlinearity
  • solitons

Index Terms

  • Electromagnetics: Electromagnetic theory
  • Electromagnetics: Nonlinear electromagnetics
  • Radio Science: Nonlinear phenomena
Abstract
Cited By (8)
 

Abstract

RADIO SCIENCE, VOL. 40, RS3S90, 10 PP., 2005
doi:10.1029/2004RS003191

Nonlinear left-handed metamaterials

Ilya V. Shadrivov

Nonlinear Physics Centre, Research School of Physical Sciences and Engineering, Australian National University, Canberra, ACT, Australia

Alexander A. Zharov

Nonlinear Physics Centre, Research School of Physical Sciences and Engineering, Australian National University, Canberra, ACT, Australia

Institute for Physics of Microstructures, Russian Academy of Sciences, Nizhny Novgorod, Russia

Nina A. Zharova

Nonlinear Physics Centre, Research School of Physical Sciences and Engineering, Australian National University, Canberra, ACT, Australia

Institute of Applied Physics, Russian Academy of Sciences, Nizhny Novgorod, Russia

Yuri S. Kivshar

Nonlinear Physics Centre, Research School of Physical Sciences and Engineering, Australian National University, Canberra, ACT, Australia

We analyze nonlinear properties of microstructured materials with the negative refractive index, the so-called left-handed metamaterials. We demonstrate that the hysteresis-type dependence of the magnetic permeability on the field intensity allows changing the material properties from left to right handed and back. Using the finite difference time domain simulations, we study the wave reflection from a slab of a nonlinear left-handed material and observe generation and propagation of temporal solitons in such materials. We demonstrate also that the nonlinear left-handed metamaterials can support both transverse electric– and transverse magnetic–polarized self-trapped localized beams, spatial electromagnetic solitons. Such solitons appear as single-hump and multihump beams, being either symmetric or antisymmetric, and they can exist because of the hysteresis-type magnetic nonlinearity and the effective domains of negative magnetic permeability.

Received 15 October 2004; accepted 15 February 2005; published 6 May 2005.

Citation: Shadrivov, I. V., A. A. Zharov, N. A. Zharova, and Y. S. Kivshar (2005), Nonlinear left-handed metamaterials, Radio Sci., 40, RS3S90, doi:10.1029/2004RS003191.

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