光阑约束超几何激光束的传输特性

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。

Transmission characteristic of hypergeometric beams through an apertured optical system

Based on the generalized Huygens-Fresnel diffraction integral and the expansion of the hard aperture function 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 analysis are also performed for the transmission characteristics of a hypergeometric beam through a paraxial ABCD optical system with a circular aperture.The obtained results show that light distribution and diffraction effect of hypergeometric beams are closely related to aperture size,transmission distance and beam parameters etc.Compared with the usual way by using diffraction integral formula directly,this method has higher computational efficiency.