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Coupled nonlinear Schroedinger field equations for electromagnetic wave propagation in nonlinear left-handed materials

N. Lazarides·G. P. Tsironis
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Abstract

For an isotropic and homogeneous nonlinear left-handed materials, for which the effective medium approximation is valid, Maxwell's equations for electric and magnetic fields lead naturally, within the slowly varying envelope approximation, to a system of coupled nonlinear Schroedinger equations. This system is equivalent to the well-known Manakov model that under certain conditions, is completely integrable and admits bright and dark soliton solutions. It is demonstrated that left- and right-handed (normal) nonlinear mediums may have compound bright and dark soliton solutions, respectively. These results are also supported by numerical calculations.

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N. Lazarides, G. P. Tsironis. 2005-01-31. Coupled nonlinear Schroedinger field equations for electromagnetic wave propagation in nonlinear left-handed materials. https://doi.org/10.1103/physreve.71.036614

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