从严格的矢量非傍轴传输方程出发,并通过傅里叶变换及角谱分析的方法,分析了在超短脉冲光束中,矢量效应对其在自由空间中的非傍轴传输的影响.结果表明,矢量效应对脉冲光束的标量傍轴解的修正有着重要的影响,当对脉冲光束进行非傍轴传输处理时,必须考虑它的矢量特性.基于上述分析,得到了支配超短脉冲光束传输的矢量非傍轴方程的一个完整积分解.从这个积分解出发,通过对电场进行泰勒级数展开的方法,得到了一种相对简单的方法,通过这种方法,可以从脉冲光束的已知标量傍轴解来求出矢量非傍轴波动方程的相对精确解.

Starting from the intrinsically vectorial non-paraxial propagation equations,and employing the Fourier transforming and the angular spectrum formalization,the influence of the vectorial effects on the non-paraixal propagation of ultrashort pulsed beam in free space is analyzed. The result shows that the non-paraxial correction is greatly influenced by the vectorial effect. While the non-paraxial propagation of pulsed beam is dealt,the vectorial effect should be considered. Based on the above analyses,An integral solution of the vectorial non-paraxial propagation equations is obtained. Then an correspondingly simple approach to the vectorial non-paraxial correction to the paraxial pulsed beam solution is developed by use of a Taylor expansion.