光阑约束超几何激光束的传输特性

摘要

基于广义惠更斯-菲涅耳衍射积分和圆孔光阑函数展开为有限复高斯函数之和的方法，导出了超几何激光束通过有圆孔光阑约束的近轴ABCD光学系统传输的近似解析表达式，并对其传输特征进行了数值计算和分析。研究结果表明，超几何激光束光强的分布及其衍射效应与光阑的孔径大小、传输的距离以及光束参数等因素密切相关。此外，文中采用的近似解析方法与直接利用衍射积分计算相比，具有更高的计算效率，可以大大节省计算机时。%Based on the generalized Huygens-Fresnel diffraction integral and the expansion of the hard aperture func-tion into a finite sum of complex Gaussian functions,the approximate analytical expression of hypergeometric beams passing through a paraxial ABCD optical system with a circular aperture is derived.Some numerical simulations and a-nalysis are also performed for the transmission characteristics of a hypergeometric beam through a paraxial ABCD opti-cal system with a circular aperture.The obtained results show that light distribution and diffraction effect of hypergeo-metric beams are closely related to aperture size,transmission distance and beam parameters etc.Compared with the u-sual way by using diffraction integral formula directly,this method has higher computational efficiency.