Coupled nonlinear Schroedinger field equations for electromagnetic wave propagation in nonlinear left-handed materials
N. Lazarides, G. P. Tsironis
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.
Create a lesson
Related papers
Aberration stabilized light bullets in normal dispersion injected Kerr resonators
Yannick Fleck, Thomas G. Seidel, Jesús Yelo-Sarrión et al.
Rate-selective synchronization in switching networks: when timing meets structure
Russell Jeter, Angelo Boateng, Maurizio Porfiri et al.
On the Time-Domain Waveforms Leading to Frequency Comb Spectra
Madhurendra Mishra, Adarsh Ganesan
Oscillatory instability of subcritical stationary solutions in the parametrically driven, damped nonlinear Dirac equation
Fernando Carreño-Navas
Curvature and confinement: robustness of dryland vegetation patterns on sloped, undulating terrain
Timothy V Roberts, Punit Gandhi, Mary Silber
Dirac Equations With All Possible Combinations of Scalar-Scalar, Vector-Vector and Pseudoscalar-Pseudoscalar Interactions
Avinash Khare, Fred Cooper, John F. Dawson et al.