摘要
为了研究洛伦兹脉冲各参量在光纤中传输的演化特性,从麦克斯韦方程出发,建立光纤非线性传输方程,采用变分法进行了理论分析和数值模拟,得到了洛伦兹脉冲参量随传输距离的演化方程组以及振幅与脉宽、脉宽与啁啾之间的两个重要约束关系;并进一步得出了脉宽随传输距离演化的解析解;描绘了脉宽随传输距离演化的图形。结果表明,脉宽和振幅间满足绝热关系,初始啁啾会对洛伦兹脉冲的保形传输产生影响。
In order to study transmission characteristics of Lorentz pulses in a single-mode optical fiber, nonlinear Schr^dinger equation was established from the Maxwell equation. The evolution equations for the parameters of the Lorentz pulses in single-mode optical fibers were derived by means of variational method from the modified nonlinear Schroedinger equation. Then, the restricted relations were obtained between amplitude and width, width and chirp. Analytical solution about the width of pulse evolving on the propagation distance was obtained. The graph of the pulse width with the evolution of the transmission distance was described. The results show pulse width and the amplitude satisfy the adiabatic relation, the initial chirps will have an impact on the conformal transmission of Lorentz vulses.
出处
《激光技术》
CAS
CSCD
北大核心
2010年第2期275-278,共4页
Laser Technology
关键词
光纤光学
洛伦兹脉冲
变分法
传输特性
fiber optics
Lorentz pulse
variational method
propagation property
