Ti. Lakoba, CONCERNING THE EQUATIONS GOVERNING NONLINEAR PULSE-PROPAGATION IN RANDOMLY BIREFRINGENT FIBERS, Journal of the Optical Society of America. B, Optical physics, 13(9), 1996, pp. 2006-2011
The multiple-scale expansion is used to derive averaged Equations gove
rning the slow evolution of a pulse in a randomly birefringent, non-po
larization-preserving fiber. It is shown that, in the limit when the a
verage beat length is much less than the correlation length of random
variations of the fiber's parameters, these equations are two nonlinea
rly coupled nonlinear Schrodinger equations, with the cross-coupling c
oefficient being, in general, different from 1. The effect of perturba
tions of the averaged equations that result from randomness of the fib
er parameters is estimated. (C) 1996 Optical Society of America.