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从含修正项的非线性薛定谔方程出发,采用变分法,导出了在三阶色散情况下光学高斯型脉冲参数 随传输距离的演化方程组;在此基础上,求出了振幅与脉宽、频率与啁啾、脉宽与啁啾之间的三个重要约束关 系;并进一步得出了脉宽随传输距离演化的解析解;讨论了三阶色散对光纤中高斯型脉冲传输特性的影响。
Based on the nonlinear Schr (o) dinger equation with corrections, the evolution equations of optical Gaussian pulse parameters with the transmission distance under the condition of third-order dispersion are deduced by using the variational method. On this basis, the amplitude and pulse width, Frequency and chirp, pulse width and chirp. Furthermore, the analytic solution of the pulse width with the evolution of the transmission distance is obtained. The influence of the third-order dispersion on the propagation characteristics of Gaussian pulse in the fiber is also discussed.