Phase jitter control of ultrashort solitons by use of Butterworth filters and nonlinear gain

We demonstrate that soliton phase jitter can be efficiently suppressed by both Butterworth filters and nonlinear gain for ultrashort solitons with higher-order effects, as well as for long duration solitons. The nonlinear gain added to the system is to suppress no only background instability but also phase jitter, whereas the Butterworth filters are used to reduce both self-frequency shift and phase jitter. This scheme especially exploits a possibility for achieving a higher-speed soliton communication system using ultrashort solitons based on differential phase-shift keying.