三阶色散对超高斯型脉冲传输特性的影响

J4 ›› 2010, Vol. 27 ›› Issue (3): 378-384.

• 纤维与波导光学 • 上一篇

三阶色散对超高斯型脉冲传输特性的影响

甘桂蓉

宜春学院理工学院，江西宜春，336000

收稿日期:2009-05-26 修回日期:2009-09-15 出版日期:2010-05-28 发布日期:2010-05-11
作者简介:甘桂蓉(1971-)，女，硕士,讲师,主要从事导波光学与光纤通信方面的研究。 E-mail: gguirong@163.com

Influence of the third-order dispersion on the propagation properties of super-Gaussian pulses in optical fibers

GAN Gui-rong

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

Received:2009-05-26 Revised:2009-09-15 Published:2010-05-28 Online:2010-05-11

摘要/Abstract

摘要：

从修正的非线性Schr?dinger方程出发，采用变分法，导出了在三阶色散情况下超高斯型脉冲参数随传输距离的演化方程组及其解，讨论了三阶色散对光纤中不同锐度超高斯脉冲传输特性的影响。求出了振幅与脉宽、脉宽与啁啾、啁啾与频率及中心位置之间的三个解析约束关系,得出了脉宽随传输距离演化的解析解，用龙格-库塔法进行数值求解描绘了不同锐度下三阶色散对光纤中超高斯脉冲的脉宽的影响。结果表明：超高斯型脉冲满足绝热特性，色散系数增大到0.3或脉冲前后沿锐度系数m≥3时，脉冲信号便会明显地被展宽，其周期也大幅度地变大。

关键词: 导波与光纤光学∣传输特性∣变分法∣三阶色散∣超高斯型脉冲

Abstract:

The MNLS equation and variational method are used to derive the evolution equations for the parameters of Super-Gaussian pulse and their analytic solutions. The influence of the third-order dispersion on the propagation properties in different sharpness Super-Gaussian pulses in optical fibers is discussed. Three restraint relations between amplitude and pulse width, pulse width and chirp, chirp and frequency and the center are derived. Analytical solution about the evolution of pulse-width versus propagation distance is obtained. By using Runge-Kutta algorithm, the influence of the third-order dispersion and the degree of the pulse’s edge sharpness on the pulse-width is described.The results indicate that the super-Gaussian pulse satisfies the adiabatic relation, when the dispersion coefficient increases to around 0.3 or the pulse sharpness coefficient m≥3, the pulse signal will obviously be stretched, its cycle will significantly be larger.

Key words: waveguide and fiber optics∣propagation property∣variational method∣third-order dispersion∣super-Gaussian pulse

甘桂蓉. 三阶色散对超高斯型脉冲传输特性的影响[J]. J4, 2010, 27(3): 378-384.

GAN Gui-rong. Influence of the third-order dispersion on the propagation properties of super-Gaussian pulses in optical fibers[J]. J4, 2010, 27(3): 378-384.

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三阶色散对超高斯型脉冲传输特性的影响

Influence of the third-order dispersion on the propagation properties of super-Gaussian pulses in optical fibers

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