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周期分布放大系统的精确解及其相互作用
引用本文:李录,李仲豪,周国生. 周期分布放大系统的精确解及其相互作用[J]. 量子光学学报, 2003, 9(4): 177-184
作者姓名:李录  李仲豪  周国生
作者单位:1. 山西大学物理系,山西,太原,030006
2. 山西大学电子系,山西,太原,030006
基金项目:TheNationalNaturalScienceFoundationofChina (No .10 0 740 41),YoungthFoundationofSlanxiProviuce ( 2 0 0 110 15)
摘    要:考虑带有变增益侦耗和频率啁啾的非线性薛定谔方程,利用达布变换求得该方程的N-孤子解,并给出带有变增益钡耗和频率啁啾的一孤子解和二孤子解的精确表达式。特别地,详细讨论了孤子周期分布放大系统的动力学行为。结果表明,带有变增益/损耗和频率啁啾的孤子解可以应用于周期分布放大系统,同时保留了孤子的特性。

关 键 词:周期分布 孤子解 多相光纤 频率啁啾 增益损耗 薛定谔方程

Exact Soliton Solutions and Soliton Interaction for Periodic Distributed Amplification System in Optical Fiber Media
Abstract. Exact Soliton Solutions and Soliton Interaction for Periodic Distributed Amplification System in Optical Fiber Media[J]. Acta Sinica Quantum Optica, 2003, 9(4): 177-184
Authors:Abstract
Abstract:Nonlinear Schrodinger equation with varying gain/loss and frequency chirping is discussed. By employing Darboux transformation based on Lax pair, N - solitary solution is obtained, and then one- and two- soliton solutions with varying gain/loss and frequency chirping are generated. Particularly, the dynamics of soliton periodic distributed amplification system is discussed in detail. The results show that the soliton solutions with varying gain/loss and frequency chirping can be applied in the periodic distributed amplification system remaining the chracter of solitons.
Keywords:inhomogenous optical fiber  periodic distributed amplification  soliton interaction
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