从非线性薛定谔方程出发,利用分步傅里叶算法对其进行求解,数值模拟了在超短脉冲激光系统中几种光学介质中的B积分传输规律,并对其特性进行了简要分析。数值计算结果表明,初始脉冲的输入光强与光学介质的增益系数的增大会使B积分值增加。脉冲形状对B积分值有一定影响,与飞秒高斯脉冲比较,当输入为ps级的啁啾脉冲时,B积分较小。针对所选计算模型,适当的群速色散与高阶色散可以减小B积分值。这对超短脉冲放大系统的设计有参考意义。

The nonlinear Schrdinger equation is solved by slit-step Fourier numerical method. The variation of B integral in several propagation media in the ultra-short pulse laser system is numerically simulated and briefly analyzed. The results show that B integral increases with input intensity and gain coefficient increasing. The shape of the input pulse has some effect on B integral,and the B integral of picosecond chirp pulse is smaller than that of femtosecond Gaussian pulse. It is also found that proper group-velocity and high-order dispersions can reduce B integral for the selected calculation model. The approach can be reference resources to the design of the ultra-short pulse laser system.