基于微分方程数值解法计算超短激光脉冲光传输特性

Calculation of propagation characteristics of ultrashort laser pulse by numerical solution of differential equation

针对已有方法进行超短激光脉冲光传输特性计算时,在输入光中心波长为800 nm~920 nm的范围内存在波形畸变捕捉率较低的问题,因此,将微分方程数值解法应用于超短激光脉冲光传输特性计算中。在对吸收进行忽略的情况下,根据脉冲光斑的实际传播情况对超短激光脉冲光传输进行模拟。通过麦克斯韦方程组获取在无自由电荷、非导电、非磁的介质内对光电场特性进行描述的方程,基于微分方程数值解法构建超短激光脉冲光传输方程。根据构建的超短激光脉冲光传输方程,在介质系统模型中对超短激光脉冲光传输特性进行计算。为证明基于微分方程数值解法的超短激光脉冲光传输特性计算方法实现了性能提升,将该方法与已有方法进行三次对比实验,实验结果证明该方法的波形畸变捕捉率高于实验中的已有方法,对于超短激光脉冲光技术的发展有很大意义。

In the calculation of ultrashort laser pulse propagation characteristics using the existing methods, there is a problem that the capture rate of waveform distortion is low in the range of 800 nm-920 nm, so the numerical solution of differential equation is applied to the calculation of ultrashort laser pulse optical transmission characteristics. In the case of ignoring the absorption, the propagation of ultrashort laser pulse is simulated according to the actual propagation of the pulse spot. The equations describing the characteristics of the optical electric field in a non-conductive, non-magnetic medium without free charge are obtained by Maxwell’s equations. According to the propagation equation of ultrashort laser pulse, the propagation characteristics of ultrashort laser pulse are calculated in the medium system model. In order to prove that the performance of the calculation method of ultrashort laser pulse propagation characteristics based on the numerical solution of differential equation is improved, the method is compared with the existing methods for three times. The experimental results show that the waveform distortion capture rate of this method is higher than that of the existing methods in the experiment, which is of great significance for the development of ultrashort laser pulse optical technology.