Soliton stability and compression in a system with nonlinear gain

摘要

The stability of soliton propagation in a system with spectral filtering, linear and nonlinear gain is numerically investigated. Different types of analytical solutions of the cubic complex Ginzburg-Landau equation, namely solutions with fixed amplitude and solutions with arbitrary amplitude, are presented. Then, the evolution equation is solved numerically assuming various input waveforms. Our results show that it will be possible to achieve relatively stable pulse propagation over long distances by the use of suitable combination of linear and nonlinear gains. However, truly stable propagation of arbitrary amplitude solitons can be achieved only in a system with purely nonlinear gain. A new soliton compression effect is demonstrated both for fixed- amplitude and arbitrary-amplitude solitons.