Influence of seed power on mode instabilities in high power fiber   amplifiers
  We use a semi-analytical model of stimulated thermal Rayleigh scattering to present theoretical study of seed power on mode instability with the presence of photodarkening. The behavior of mode instabilities as a function of seed power has been investigated. The nonlinear dependence of the threshold with lower seed powers is ascribed to the influence of gain saturation while the reduction behavior of the threshold with higher seed powers is put down to the effects of photodarkening, which agrees well with the experimental results. 
Rumao Tao, Xiaolin Wang, Pu Zhou, Dong Zhi, Lei Si, and Zejin Liu
physics.optics