Higher-order effects and ultra-short solitons in left-handed metamaterials

Details Higher-order effects and ultra-short solitons in left-handed metamaterials Higher-order effects and ultra-short solitons in left-handed metamaterials

2009-02-23

arxiv.org/abs/0902.3872v1

Nonlinear Sciences

Pattern Formation and Solitons

4 pages, 2 figures, Phys. Rev. E in press

Scientific paper

10.1103/PhysRevE.79.037601

Starting from Maxwell's equations, we use the reductive perturbation method
to derive a second-order and a third-order nonlinear Schroedinger equation,
describing ultra-short solitons in nonlinear left-handed metamaterials. We find
necessary conditions and derive exact bright and dark soliton solutions of
these equations for the electric and magnetic field envelopes.

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