| Theory of passively mode-locked lasers with self-frequency shift and saturable absorber response |
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| 作者姓名： | 宋丽军 师晓娟 李录 李仲豪 周国生 |
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| 作者单位： | College of Physics and Electronics Engineering,Shansi University,Taiyuan 030006,China;College of Physics and Electronics Engineering,Shansi University,Taiyuan 030006,China;College of Physics and Electronics Engineering,Shansi University,Taiyuan 030006,China;College of Physics and Electronics Engineering,Shansi University,Taiyuan 030006,China;College of Physics and Electronics Engineering,Shansi University,Taiyuan 030006,China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China (Grant No 60477026). |
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| 摘 要： | 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 condition 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 an arbitrary Gaussian pulse converges to the exact soliton-like solution after evolution in a distance.
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| 关 键 词： | 饱和吸收器 被动模式锁定激光器 变量法 高斯脉冲收敛 |
| 收稿时间： | 2004-08-11 |
| 修稿时间： | 2/5/2005 12:00:00 AM |
Theory of passively mode-locked lasers with self-frequency shift and saturable absorber response |
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| Song Li-Jun,Shi Xiao-Juan,Li Lu,Li Zhong-Hao and Zhou Guo-Sheng.Theory of passively mode-locked lasers with self-frequency shift and saturable absorber response[J].Chinese Physics B,2005,14(6):1174-1180. |
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| Authors: | Song Li-Jun Shi Xiao-Juan Li Lu Li Zhong-Hao and Zhou Guo-Sheng |
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| Institution: | College of Physics and Electronics Engineering,Shansi University,Taiyuan 030006,China |
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| 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. |
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| Keywords: | passively mode-locked laser saturable absorber variational method |
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