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Nonlinear properties of left-handed metamaterials

Alexander A. Zharov·Ilya V. Shadrivov·Yuri S. Kivshar
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Abstract

We analyze nonlinear properties of microstructured materials with negative refraction, the so-called left-handed metamaterials. We consider a two-dimensional periodic structure created by arrays of wires and split-ring resonators embedded into a nonlinear dielectric, and calculate the effective nonlinear electric permittivity and magnetic permeability. We demonstrate that the hysteresis-type dependence of the magnetic permeability on the field intensity allows changing the material from left- to right-handed and back. These effects can be treated as the second-order phase transitions in the transmission properties induced by the variation of an external field.

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Alexander A. Zharov, Ilya V. Shadrivov, Yuri S. Kivshar. 2003-03-21. Nonlinear properties of left-handed metamaterials. https://doi.org/10.1103/physrevlett.91.037401

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