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具有分布系数的非线性薛定谔方程中脉冲序列的产生、压缩和传播。

Generation, compression, and propagation of pulse trains in the nonlinear Schrödinger equation with distributed coefficients.

作者信息

Wang Luyun, Li Lu, Li Zhonghao, Zhou Guosheng, Mihalache Dumitru

机构信息

College of Physics and Electronics Engineering, and Institute of Theoretical Physics, Shanxi University, Taiyuan 030006, China.

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2005 Sep;72(3 Pt 2):036614. doi: 10.1103/PhysRevE.72.036614. Epub 2005 Sep 15.

DOI:10.1103/PhysRevE.72.036614
PMID:16241599
Abstract

The generalized nonlinear Schrödinger model with distributed dispersion, nonlinearity, and gain or loss is considered and the explicit, analytical solutions describing the dynamics of bright solitons on a continuous-wave background are obtained in quadratures. Then, the generation, compression, and propagation of pulse trains are discussed in detail. The numerical results show that solitons can be compressed by choosing the appropriate control fiber system, and pulse trains generated by modulation instability can propagate undistorsted along fibers with distributed parameters by controlling appropriately the energy of each pulse in the pulse train.

摘要

考虑了具有分布式色散、非线性以及增益或损耗的广义非线性薛定谔模型,并通过求积法得到了描述连续波背景上亮孤子动力学的显式解析解。然后,详细讨论了脉冲串的产生、压缩和传播。数值结果表明,通过选择合适的控制光纤系统可以压缩孤子,并且通过适当控制脉冲串中每个脉冲的能量,由调制不稳定性产生的脉冲串可以沿具有分布参数 的光纤无畸变地传播。

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