Phase jitter of chirped subpicosecond solitons in a noisy optical fiber channel: Exact moment method descriptionShihua Chen1, Y. H. Yang1, Jin Xu1, Peixiang Lu2 and Lin Yi3
1 Department of Physics, Southeast University - Nanjing 210096, China
2 Wuhan National Laboratory for Optoelectronics - Wuhan 430074, China
3 Department of Physics, Huazhong University of Science and Technology - Wuhan 430074, China
received 19 May 2007; accepted in final form 5 September 2007; published November 2007
published online 28 September 2007
The phase statistics of chirped subpicosecond solitons in an optical fiber channel with varying dispersion and nonlinearity is described using the moment method. Both the multiplicative and additive noises that result, respectively, from the spontaneous Raman scattering and the amplified spontaneous emission are rigorously included for exploration. By taking into account the effect of chirp fluctuations, an algebraically closed expression for the variance of phase jitter is obtained. It is clearly shown that both the dispersive and chirp fluctuations effects are essential for correctly understanding such phase statistics as well as the Gordon-Mollenauer effect. In terms of this expression, the intriguing subtleties of the interplay between these effects are analyzed and a good agreement between analytical predictions and numerical simulations is obtained.
42.81.Dp - Propagation, scattering, and losses; solitons.
42.65.Sf - Dynamics of nonlinear optical systems; optical instabilities, optical chaos and complexity, and optical spatio-temporal dynamics.
05.10.Gg - Stochastic analysis methods (Fokker-Planck, Langevin, etc.).
© Europhysics Letters Association 2007