Pulse evolution in nonlinear optical fibers with sliding-frequency filters- art. no. 056604

The effect of fiber loss, amplification, and sliding-frequency filters on t he evolution of optical pulses in nonlinear optical fibers is considered, t his evolution being governed by a perturbed nonlinear Schrodinger (NLS) equ ation. Approximate ordinary differential equations (ODE's) governing the pu lse evolution are obtained using conservation and moment equations for the perturbed NLS equation together with a trial function incorporating a solit onlike pulse with independently varying amplitude and width. In addition, t he trial function incorporates the interaction between the pulse and the di spersive radiation shed as the pulse evolves. This interaction must be incl uded in order to obtain approximate ODE's whose solutions are in good agree ment with full numerical solutions of the governing perturbed NLS equation. The solutions of the approximate ODE's are compared with full numerical so lutions of the perturbed NLS equation and very good agreement is found.