Under the influence of self-frequency shift, the interactions between in-phase and out-phase neighboring fundamental and second-order optical solitons are investigated numerically, and the impacts of soliton interactions to timing jitter are analyzed. It is found that under the influence of self-frequency shift, the periodic collision of neighboring fundamental in-phase soliton pair is broken. They are apart from each other rapidly after one collision and the self-frequency shift phenomenon is much more obvious after the collision. While for neighboring out-phase fundamental soliton pair, two solitons both shift to the dropping edge and the impacts of self-frequency shift are weaker than that of in-phase soliton pair. For second-order solitons, either in-phase or out-phase soliton pair will be split. Two split stronger solitons will collide with each other during the propagation in the optical fiber and the difference between in-phase soliton pair and out-phase soliton pair exists that the interactions of out-phase pair is weaker than that of in-phase soliton pair and the collision distance of out-phase pair is much longer than that of in-phase soliton pair. A nonlinear gain can be used to effectively suppress soliton interactions as well as effects of soliton self-frequency shift, and stabilize the soliton propagation.
1.INTRODUCTIONModern high-speed optical communication systems are limited mainly by group velocity dispersion (GVD), nonlinear effects occurring inside optical fibers, polarization mode dispersion (PMD) and pulse interactions, especially for systems with bit rate of 40 Gb/s and beyond. In linear high-speed long-haul optical communication systems, GVD and PMD impose severe limits. Optical solitons can solve the former two problems to some extent since they use the selfphase modulation (SPM), a dominant nonlinear effect, to balance group velocity dispersion [1]. And many studies have indicated that solitons are more robust to PMD than linear pulses in terms of single-pulse broadening and splitting [2]. Therefore, optical soliton communications have been widely applied in ultra high-speed long-haul optical communications, and in soliton communication systems, the transmission capacity could be improved using picosecond-subpicosecond solitons [1]. However, with the increase of bit rate, the time interval between two adjacent solitons decreases and the interactions between them play a major role in limiting the transmission distance [3,4]. Soliton interaction is a kind of pulling or pushing originated from optical nonlinearity, resulting in a significant reduction in the transmission capacity. The soliton interactions include intrachannel interaction and interchannel interaction and the former one is more serious. It has become a severe obstacle in high-speed optical communication systems. Furthermore, when the pulse width is smaller than 5ps, high-order nonlinear effects, including third-order dispersion, self-steeping, etc., can not be ignored either. Among these high order nonlinear effects, one of ...