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

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

2009-12-29

arxiv.org/abs/0912.5305v1

Nonlinear Sciences

Pattern Formation and Solitons

11 pages, 5 figures, Phys. Lett. A in press

Scientific paper

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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