Abstract A general theoretical model for passively mode-locked lasers is presented, in which both the self-frequency shift and either a fast or a slow saturable absorber response are taken into account. An exact soliton-like solution and conditions for its existence are obtained under a definite compatible condition. The stability of the solution is analyzed by using a variational method, and a parameter region, in which the solution is linearly stable, is acquired theoretically. To verify the theoretical predictions, a typical example is given for stable pulse propagation over a long distance. The numerical results show that the soliton-like solution is stable under some perturbations within the linearly stable region and quite an arbitrary Gaussian pulse converges to the exact soliton-like solution after evolution in a distance.
Received: 11 August 2004
Revised: 05 February 2005
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 60477026).
Cite this article:
Song Li-Jun (宋丽军), Shi Xiao-Juan (师晓娟), Li Lu (李录), Li Zhong-Hao (李仲豪), Zhou Guo-Sheng (周国生) Theory of passively mode-locked lasers with self-frequency shift and saturable absorber response 2005 Chinese Physics 14 1174
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