STOCHASTIC-INSTABILITY OF CHIRPED OPTICAL SOLITONS IN MEDIA WITH PERIODIC AMPLIFICATION

A variational method is used to study propagation of chirped optical p ulses in media with periodic amplification. A nonlinear resonance and chaos in oscillations of the pulse duration are considered. A stochast ic instability of evolution of the pulse duration and also pulse decay under the influence of periodic amplification are predicted. A calcul ation is reported of the stochastic pulse-decay length and a compariso n is made with the results of a numerical simulation. The applications of the results to long-haul optical communication lines with amplifie rs and to optical fibres with a periodically modulated core diameter a re considered.