矢量非傍轴离轴高斯光束的传输

基于矢量瑞利-索末菲衍射积分公式，得出了波动方程的一个解，它代表矢量非傍轴离轴高斯光束，其在自由空间的传输方程表示为解析的结果.矢量非傍轴离轴高斯光束的轴上和远场公式，矢量非傍轴高斯光束的传输方程，以及傍轴的结果都可作为一般表达式的特例而得出.研究表明，f参数对光束的非傍轴特性有重要影响，而离心参数也影响非傍轴行为.与共轴情况不同的是，对离轴情况，在y方向存在场的纵向分量. 关键词： 激光光学 矢量非傍轴离轴高斯光束 瑞利-索末菲衍射积分 f参数 离轴参数

Propagation of vectorial off-axis Gaussian beams beyond the paraxial approximation

Based on the vectorial Rayleigh-Sommerfeld diffraction formulation, a solution of the electric-magnetic wave equation is found, which represents vectorial nonparaxial off-axis Gaussian-beams whose propagation equation in free space is expressed in a closed form. The on-axis and far-field expressions of vectorial nonparaxial off-axis Gaussian beams, the propagation equation of vectorial nonparaxial Gaussian beams and the paraxial results are treated as special cases of our general expression. It is shown that the f parameter plays an impotant role in determining the beam nonparaxiality, whereas the off-axis parameters additionally affect the nonparaxial behavior of vectorial nonparaxial off-axis Gaussian beams. Moreover, unlike the on-axis case, there exists the longitudinal component of the field in the y direction for the off-axis case.