论文标题
通过Kummer Confluent超小几何函数，通过经典光学系统的离轴涡流束传播
Off-axis vortex beam propagation through classical optical system in terms of Kummer confluent hypergeometric function
论文作者
论文摘要
提出了通过透镜系统传播具有光涡体激光束的分析解决方案。通过螺旋相板将光学涡流引入激光束（称为高斯束）中。该解决方案是一般的，因为它具有任何整数拓扑电荷的光学涡流，螺旋相板的离轴位置和任何数量的镜头。讨论了一些有趣的结论。高阶涡旋是不稳定的，在小相或振幅干扰下分裂。然而，我们已经表明，在传播过程中，通过在近似近似中描述的一组镜头（这是毫不典型的行为）中，较高阶段的涡旋是稳定的。由于螺旋相位板移位，在图像平面注册的涡流轨迹表现得像刚体。我们引入了一个新因素，该因子在光束中与纯高斯束相同的作用。
The analytical solution for the propagation of the laser beam with optical vortex through the system of lenses is presented. The optical vortex is introduced into the laser beam (described as Gaussian beam) by spiral phase plate. The solution is general as it holds for the optical vortex of any integer topological charge, the off-axis position of the spiral phase plate and any number of lenses. Some intriguing conclusions are discussed. The higher order vortices are unstable and split under small phase or amplitude disturbance. Nevertheless, we have shown that off-axis higher order vortices are stable during the propagation through the set of lenses described in paraxial approximation, which is untypical behavior. The vortex trajectory registered at image plane due to spiral phase plate shift behaves like a rigid body. We have introduced a new factor which in our beam plays the same role as Gouy phase in pure Gaussian beam.
