在应用时间与空间傅里叶变换的基础上,运用泰勒展开的方法,得出了一种对多周期超短脉冲光束进行非傍轴修正的方法,并将其应用于脉冲高斯光束.与数值结果的比较表明,对于束宽在波长量级的脉冲光束,二阶修正已经很接近非傍轴精确解,并在例子中观察到:由于超短脉冲光束中时空耦合效应的存在,脉冲的时间分布将会影响修正的空间分布.

Based on the spatial and temporal Fourier Transform, we developed a non paraxial correction method to the ultrashort few cycle pulsed beam, and it was illustrated with the family of pulsed Gaussian beam. The examples shows that, because of the exist of the spatiotemporal coupling, the temporal distribution of the pulse would influence the spatial distribution of the non paraxial correction.