Maximum transmission capacity of a soliton communication system with lumped amplifiers

For a soliton transmission system which uses lumped optical amplifiers with a fixed amplifier spacing and a fixed bit rate, the optimum input pulse width and input amplitude are presented to maximise the soliton transmission distance. In a 10 Gbit/s soliton system with a repeater spacing of 40 approximately 50 km, a pulse width of 20 ps, and an amplitude of 1.4 approximately 1.8, the limitation owing to mutual soliton interaction is negligible compared with that resulting from the interaction between amplifier noise and the soliton pulse, and the soliton pulse can propagate up to the Gordon-Haus limit.