单模光纤中洛伦兹脉冲传输特性研究

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。

Study on the Propagation Properties of Lorentz Pulse in Optical Fibers

he evolution equations for the parameters of the Lorentz pulse in optical fibers is derived by means of variational method from the MNLS equation. Then，the restricted relations are obtained between amplitude and width, width and chirp. Analytical solution about the width of pulse evolving on the propagation distance is obtained. The graph of the pulse width with the evolution of the transmission distance is described. The results show pulse width and the amplitude satisfy the adiabatic relation, the initial chirps will have an impact on the Lorentz pulse conformal transmission.