Ultra-short solitons and kinetic effects in nonlinear metamaterials

Abstract

We present a stability analysis of a modified nonlinear Schroedinger equation describing the propagation of ultra-short pulses in negative refractive index media. Moreover, using methods of quantum statistics, we derive a kinetic equation for the pulses, making it possible to analyze and describe partial coherence in metamaterials. It is shown that a novel short pulse soliton, which is found analytically, can propagate in the medium.

arXiv comment6 pages, 2 figures, to appear in Phys. Rev. E

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Cited by in corpus (11)

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• Self-focusing and envelope pulse generation in nonlinear magnetic metamaterials
• Soliton dynamics in an extended nonlinear Schrodinger equation with a spatial counterpart of the stimulated Raman scattering
• On the possibility of metamaterial properties in spin plasmas
• Damped solitons in an extended nonlinear Schrodinger equation with a spatial stimulated Raman scattering and decreasing dispersion
• Chirped periodic and solitary waves in nonlinear negative index materials
• Anomalous reflection and excitation of surface waves in metamaterials
• Solitary wave solution to the generalized nonlinear Schrodinger equation for dispersive permittivity and permeability
• Interplay of the pseudo-Raman term and trapping potentials in the nonlinear Schroedinger equation
• Vector solitons in coupled nonlinear Schrödinger equations with spatial stimulated scattering and inhomogeneous dispersion