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

Abstract

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.

arXiv comment4 pages, 2 figures, Phys. Rev. E in press

References in corpus (6)

• Nonlinear properties of left-handed metamaterials
• Coupled nonlinear Schroedinger field equations for electromagnetic wave propagation in nonlinear left-handed materials
• Ultra-short solitons and kinetic effects in nonlinear metamaterials
• Spatial solitons in nonlinear left-handed metamaterials
• Solitons and decoherence in left-handed metamaterials
• Nonlinear left-handed metamaterials

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• Bright and Dark Solitons on the Surface of Finite-Depth Fluid Below the Modulation Instability Threshold
• Damped solitons in an extended nonlinear Schrodinger equation with a spatial stimulated Raman scattering and decreasing dispersion
• The dynamical playground of a higher-order cubic Ginzburg-Landau equation: from orbital connections and limit cycles to invariant tori and the onset of chaos
• Travelling waves in nonlinear magneto-inductive lattices
• Interplay of the pseudo-Raman term and trapping potentials in the nonlinear Schroedinger equation
• Spontaneous isotropy breaking for vortices in nonlinear left-handed metamaterials
• Vector solitons in coupled nonlinear Schrödinger equations with spatial stimulated scattering and inhomogeneous dispersion