%0 Journal Article
%T Theory of passively mode-locked lasers with self-frequency shift and saturable absorber response
%A Song Li-Jun
%A Shi Xiao-Juan
%A Li Lu
%A Li Zhong-Hao
%A Zhou Guo-Sheng
%A <br>宋丽军
%A 师晓娟
%A 李　录
%A 李仲豪
%A 周国生
%J 中国物理 B
%D 2005
%I 
%X 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.
%K passively mode-locked laser
%K saturable absorber
%K variational method<br>饱和吸收器
%K 被动模式锁定激光器
%K 变量法
%K 高斯脉冲收敛
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=47EA7CFDDEBB28E0&jid=CD8D6A6897B9334F09D8D1648C376FB4&aid=7FC304FDBFDF2C060C2C6909EA959C2A&yid=2DD7160C83D0ACED&vid=F3583C8E78166B9E&iid=B31275AF3241DB2D&sid=CA21EE48F5BB8E19&eid=334C32317477C964&journal_id=1009-1963&journal_name=中国物理&referenced_num=0&reference_num=38