Modulational instability in asymmetric coupled wave functions |
| |
Authors: | I Kourakis P K Shukla |
| |
Institution: | 1. Fakult?t für Physik und Astronomie, Ruhr-Universit?t Bochum, 44780, Bochum, Germany
|
| |
Abstract: | The evolution of the amplitude of two nonlinearly interacting
waves is considered, via a set of coupled nonlinear
Schr?dinger-type equations. The dynamical profile is determined
by the wave dispersion laws (i.e. the group velocities and the group velocity dispersion
terms) and the nonlinearity and coupling coefficients, on which no
assumption is made. A generalized dispersion relation is obtained,
relating the frequency and wave-number of a small perturbation
around a coupled monochromatic (Stokes') wave solution. Explicitly
stability criteria are obtained. The analysis reveals a number of
possibilities. Two (individually) stable systems may be
destabilized due to coupling. Unstable systems may, when coupled,
present an enhanced instability growth rate, for an extended wave
number range of values. Distinct unstable wavenumber windows may
arise simultaneously. |
| |
Keywords: | 05 45 Yv Solitons 42 65 Sf Dynamics of nonlinear optical systems optical instabilities optical chaos and complexity and optical spatio-temporal dynamics 42 65 Jx Beam trapping self-focusing and defocusing self-phase modulation 52 35 Mw Nonlinear phenomena: waves wave propagation and other interactions (including parametric effects mode coupling ponderomotive effects etc ) |
本文献已被 SpringerLink 等数据库收录! |
|