Kerr色散和内Raman散射对孤子传输特性的影响

J4 ›› 2018, Vol. 35 ›› Issue (2): 204-208.

Kerr色散和内Raman散射对孤子传输特性的影响

黄峻堃,张少武

湖北师范大学物理与电子科学学院，湖北黄石 435000

收稿日期:2017-02-28 修回日期:2017-03-27 出版日期:2018-03-28 发布日期:2018-03-30
通讯作者: 张少武（1964-），湖北天门人，博士，教授，从事非线性光学研究。E-mail:1090827061@qq.com
作者简介:黄峻堃（1991-）湖北大冶人，研究生，从事非线性光学研究。E-mail:632071764@qq.com
基金资助:
Supported by National Natural Science Foundation of China(自然科学基金, 11404108) and by Outstanding Innovation Team of Hubei Normal University (湖北师范大学2015年优秀中青年创新团队项目资助, T201502)

Influence of Kerr dispersion and intrapulse Raman scattering on propagation characteristics of solitons

College of Physics and Electronic Science, Hubei Normal University, Huangshi 435000，China

Received:2017-02-28 Revised:2017-03-27 Published:2018-03-28 Online:2018-03-30

摘要/Abstract

摘要： 采用变分法求解了包含由Kerr色散项、脉冲内Raman散射引起的自频移（SFS）项的高阶非线性薛定谔方程。推导了不同参数下高斯脉冲参量随传输距离的演化方程，得到了脉宽与振幅、脉宽与啁啾之间的约束关系。结果表明在合适的参数设定下孤子中心频率不发生改变，不会产生抖动；特定条件下自频移项和Kerr色散效应相互抵消，脉冲在一定距离内以呼吸子的形式稳定传播。

关键词: 非线性薛定谔方程；高斯脉冲；变分法；自频移；Kerr色散

Abstract: Higher order nonlinear Schr?dinger equation including Kerr dispersion term, self -frequency shift (SFS) term cased by Raman scattering within pulse is solved by variational method. Evolution equations of Gaussian pulse parameters with propagation distance under different parameters are derived. Constraint relations between pulse width and amplitude, pulse width and chirp are obtained. Results show that the soliton center frequency does not change under the appropriate parameter setting and there’s no jitter. Under certain conditions, the self-frequency shift and Kerr dispersion effects cancel each other out, the pulses propagate stably in the form of breather within a certain distance.

Key words: nonlinear Schr?dinger equation; Gaussian pulse; variational method; self-frequency shift; Kerr dispersion

中图分类号:

O437.3

黄峻堃张少武. Kerr色散和内Raman散射对孤子传输特性的影响[J]. J4, 2018, 35(2): 204-208.

Huang Junkun, Zhang Shaowu. Influence of Kerr dispersion and intrapulse Raman scattering on propagation characteristics of solitons [J]. J4, 2018, 35(2): 204-208.

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