离轴径向偏振高斯光束的非傍轴传输特性
Nonparaxial Propagation Properties of Off-Axis Radially Polarized Beams

基于矢量瑞利-索末菲衍射积分，研究了离轴径向偏振高斯光束的非傍轴传输特性，推导了离轴径向偏振高斯光束在自由空间中非傍轴传输的解析表达式，并与傍轴的情况进行了对比.研究表明：f参数、离轴系数和传输距离对径向偏振高斯光束的非傍轴传输特性有着重要的影响，而且，传输距离较远，离轴径向偏振光束的光斑向光轴靠拢，表现出较强的离轴修复能力.这些结论在多束离轴激光束进行光束合成和光束整形的研究中具有重要意义.
： Based on the vectorial Rayleigh-Sommerfeld diffraction formula, the analytical expressionons for nonparaxial off-axis radially polarized Gaussian beams propagating in free space are derived. The nonparaxial propagation properties of off-axis radially polarized Gaussian beams are studied, and compared with the corresponding paraxial results. It is shown that the f parameter, off-axis coefficient and propagation distance play important roles in the nonparaxial propagation properties of the off-axis radially polarized Gaussian beams. Moreover, when the propagation distance is farther, the off-axis radially polarized beams exhibit better off-axis healing property