Effects of dispersion and self-phase modulation on pulses in solid-state laser

In order to discuss the effects of group delay dispersion (GDD) and self-phase modulation (SPM) on the pulses generated from passively mode-locking solid-state laser,the Haus master equation which described the femtosecond pulse solid laser dynamics was solved numerically.Adopting the fast saturable absorber model,the pulse evolutions were analyzed in two conditions,one of which was the balance between GDD and SPM,and the other was the effect of GDD and SPM together.The conclusion shows shorter and steadier pulse can be produced by solid-state laser in the latter condition.