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

N. Lazarides, G. P. Tsironis

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183 Citations (Scopus)

Abstract

For 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 Schrödinger 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 media may have compound dark and bright soliton solutions, respectively. These results are also supported by numerical calculations.

Original languageEnglish
Article number036614
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume71
Issue number3
DOIs
Publication statusPublished - Mar 1 2005

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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