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arXiv · 0912.5305

Short pulse equations and localized structures in frequency band gaps of nonlinear metamaterials

N. L. Tsitsas·T. P. Horikis·Y. Shen·P. G. Kevrekidis·N. Whitaker·D. J. Frantzeskakis
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Abstract

We consider short pulse propagation in nonlinear metamaterials characterized by a weak Kerr-type nonlinearity in their dielectric response. In the frequency "band gaps" (where linear electromagnetic waves are evanescent) with linear effective permittivity \epsilon<0 and permeability \mu>0, we derive two short-pulse equations (SPEs) for the high- and low-frequency band gaps. The structure of the solutions of the SPEs is also briefly discussed, and connections with the soliton solutions of the nonlinear Schrodinger equation are presented.

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N. L. Tsitsas, T. P. Horikis, Y. Shen, P. G. Kevrekidis, N. Whitaker, D. J. Frantzeskakis. 2009-12-29. Short pulse equations and localized structures in frequency band gaps of nonlinear metamaterials. https://doi.org/10.1016/j.physleta.2010.01.004

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