摘要
从含修正项的非线性薛定谔方程出发,采用变分法,导出了五阶非线性情况下光纤中高斯型脉冲参数随传输距离的演化方程组,求出了振幅与脉宽、频率与啁啾、脉宽与啁啾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,讨论了五阶非线性对光纤中高斯型脉冲传输特性的影响。并且描绘了五阶非线性系数和啁啾对脉宽的影响、啁啾与初始啁啾对脉宽的影响、脉宽随传输距离以及五阶非线性系数、脉宽随传输距离以及初始啁啾四种情况下的三维图形。
The evolution equations for the parameters of the optical Gaussian-shaped pulse in optical fibers are derived by means of variational method from the MNLS equation. Then three restricted relations between amplitude and width, frequency and chirp, width and chirp are derived. Analytical solution about the width of pulse evolves on the propagation distance is obtained. The influence of the fifth-order nonlinearity on the propagation properties of Gaussian-shaped pulses in optical fibers is discussed. And the profiles of the evolution for the fifth-order nonlinearity（r）, chirp（b）, initial chirp（b0）, distance（Z） of the frequency band width（a） are drawn.
出处
《量子电子学报》
CAS
CSCD
北大核心
2007年第2期248-252,共5页
Chinese Journal of Quantum Electronics
基金
江西省教学改革课题(赣教高字[2005]95号)
关键词
纤维与导波光学
五阶非线性
变分法
高斯型脉冲
传输特性
fiber and waveguide optics
fifth-order nonlinearity
variational method
Gaussian-shaped pulse
propagation property
