矢量非傍轴厄米-拉盖尔-高斯光束的光束质量

基于矢量Rayleigh-Sommerfeld衍射积分，推导出矢量非傍轴圆偏振厄米-拉盖尔-高斯(HLG)光束的远场解析表达式.矢量非傍轴圆偏振高斯光束可作为一般公式的特例给出.将桶中功率(PIB)概念推广到非傍轴范畴，用以描述矢量非傍轴光束的远场光束质量，其中光强用时间平均坡印廷矢量的z分量取代.数值计算和分析表明，矢量非傍轴HLG光束的PIB不仅与束腰宽度与波长之比w₀/λ有关，而且还与α参数，模指数n和m以及所取桶的尺寸有关. 关键词： 矢量非傍轴厄米-拉盖尔-高斯光束 矢量Rayleigh-Sommerfeld衍射积分 桶中功率

The beam quality of vectorial nonparaxial Hermite-Laguerre-Gaussian beams

Based on the vectorial Rayleigh-Sommerfeld diffraction integrals, the closed-form expressions of vectorial nonparaxial circularly polarized Hermite-Laguerre-Gaussian (HLG) beams in the far-field are derived. The vectorial nonparaxial circularly polarized Gaussian beam is treated as a special case of our general formulae. The power in the bucket (PIB) is extended to the nonparaxial regime, where the intensity is replaced by the z component of the time-averaged Poynting vector, and used to characterize the beam quality of nonparaxial beams in the far field. Numerical calculation and analysis show the dependence of the PIB of vectorial nonparaxial HLG beams on the waist width-to-wavelength ratio w₀/λ, as well as on the parameter α, mode indexes n and m, and bucket's size chosen.