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

NL Tsitsas
TR Horikis
Y Shen
Panayotis Kevrekidis, University of Massachusetts - Amherst
N Whitaker
DJ Frantzeskakis

Article comments

This is the pre-published version harvested from arXiv. The published version is located at http://dx.doi.org/10.1016/j.physleta.2010.01.004

Abstract

We consider short pulse propagation in nonlinear metamaterials characterized by a weak Kerr-type nonlinearity in their dielectric response. Two short-pulse equations (SPEs) are derived for the high- and low-frequency “band gaps” (where linear electromagnetic waves are evanescent) with linear effective permittivity <0 and permeability>μ>0. The structure of the solutions of the SPEs is also briefly discussed, and connections with the soliton solutions of the nonlinear Schrödinger equation are made.