General formulation for parametrically controlled dark-soliton jitter in high-speed optical transmission systems

In this paper a perturbation theory based on the higher-order nonlinear Schrodinger equation is developed, which involves the general case Omega not equal 0. Both the equations of motion for the soliton parameters and the general formulation for the dark-soliton jitter are then derived. We show that our analytical predictions for timing jitter are in excellent agreement with numerical simulations, and thus are correct in the subpicosecond-femtosecond regime. We find that the influence of combined higher-order effects on timing jitter can cancel each other out under a certain parametric condition. (C) 2004 Elsevier B.V. All rights reserved.