五阶非线性和高阶色散作用下超高斯脉冲的传输特性

J4 ›› 2013, Vol. 30 ›› Issue (5): 635-640.

• 纤维与波导光学 • 上一篇

五阶非线性和高阶色散作用下超高斯脉冲的传输特性

王永祥，余志核，易淼，肖平平

宜春学院物理科学与工程技术学院，江西宜春 336000

收稿日期:2013-03-15 修回日期:2013-06-28 出版日期:2013-09-28 发布日期:2013-09-17
通讯作者: 王永祥（1975—）硕士，副教授，主要研究方向为导波与纤维光学. E-mail: wyxjx@163.com
基金资助:
国家自然科学基金(61168002)，国家重点实验室开放基金(2011GZFO31105)资助

Propagation properties of super-Gaussian pulse under influence of quintic nonlinearity and high-order dispersion

WANG Yong-xiang，YU Zhi-he，Yi Miao，XIAO Ping-Ping

College of Physics Science & Engineering Technology, Yichun University, Yichun 336000， China

Received:2013-03-15 Revised:2013-06-28 Published:2013-09-28 Online:2013-09-17

摘要/Abstract

摘要： 从非线性薛定愕方程出发，用变分法得出了描述锐度因子为不同自然数的超高斯脉冲在光纤色散(高阶和二阶)和非线性(三阶和五阶)作用下传输的微分方程组，用龙格-库塔算法对微分方程组进行数值求解,结果表明对于给定的较小的光纤色散和非线性系数，都存在特定的三阶和五阶非线性系数使非线性有效地对高阶和二阶色散给脉冲传输造成的展宽影响加以补偿，此时超高斯脉冲在光纤以近似保形的状态稳定传输。当色散系数与非线性系数之比太大时脉冲将被无限展宽。

关键词: 导波与纤维光学, 有效补偿, 高阶色散, 五阶非线性, 变分法, 龙格-库塔算法

Abstract: Based on the modified nonlinear Schr?dinger equation, derived the evolution equations for the parameters of super-gaussian pulse with different factor of sharpness under the influence of dispersion(high-order and the second-order) and nonlinearity(the third-order and the quintic) by using variational method，calculated the evolution equations by using Runge-kutta algorithm. The numerical results indicate that when the coefficients of dispersion and nonlinearity are small there are always coefficients of the third-order and the quintic nonlinearity that can compensate the influence of Broadening on Super-Gaussian pulse caused by the second-order and high-order dispersion effectively, in this case, the super-gaussian pulse can transmit conformally. When the ratio of dispersion and nonlinearity is too big the pulse is broaden infinitely.

Key words: guided wave and fiber optics, effective compensation, high-order dispersion, quintic nonlinearity, variational method, Runge-kutta algorithm

中图分类号:

TN929.11

王永祥，余志核，易淼，肖平平. 五阶非线性和高阶色散作用下超高斯脉冲的传输特性[J]. J4, 2013, 30(5): 635-640.

WANG Yong-xiang，YU Zhi-he，Yi Miao，XIAO Ping-Ping. Propagation properties of super-Gaussian pulse under influence of quintic nonlinearity and high-order dispersion[J]. J4, 2013, 30(5): 635-640.

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五阶非线性和高阶色散作用下超高斯脉冲的传输特性

Propagation properties of super-Gaussian pulse under influence of quintic nonlinearity and high-order dispersion

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