Interaction of solitary pulses in single mode optical fibres
AbstractWe attempt to classify interaction of nonlinear optical pulses that propagate in form of solitary waves in single made optical fibres. Two solitary waves launched, by way of incidence, into an optical fibre from a single pulse if the pulses are in-phase as understood from results of inverse scattering transform method applied to the cubic nonlinear Schrödinger equations, (CNLSE\'s). The single CNLSE is then understood to describe evolution of coupled pulses identified with one optical wavelength. More general physical implications abound such that coupled nonlinear Schrödinger equations, (NLSE\'s), have to be used to describe dynamics of the coupled pulses as in the effects of cross-phase modulation, (XPM) and phenomenon of birefringence. Our governing NLSE\'s have the quintic terms. Using a finite-difference method that combines forward-and central-difference approximation schemes, we give results of numerical simulations of coupled in-phase pulses in single pulse system of the NLSE\'s. Simulations are also given for the XPM in presence of walk-off from analytical results.
Keywords: Nonlinear Schrödinger equations, solitons, optical pulses, fibre optics.
Global Journal of Pure and Applied Sciences Vol. 11(4) 2005: 567-573