Li Jinhong, Zeng Jun, Duan Meiling
Opt Express. 2015 May 4;23(9):11556-65. doi: 10.1364/OE.23.011556.
The analytical expressions for the cross-spectral density function of partially coherent sinh-Gaussian (ShG) vortex beams propagating through free space and non-Kolmogorov atmospheric turbulence are derived, and used to study the classification of coherent vortices creation and distance of topological charge conservation. With the increment of the general structure constant and the waist width, as well as the decrement of the general exponent, the inner scale of turbulence and spatial correlation length, the distance of topological charge conservation will decrease, whereas the outer scale of turbulence and the Sh-part parameter have no effect on the distance of topological charge conservation. According to the creation, the coherent vortices are grouped into three classes: the first is the inherent coherent vortices of the vortex beams, the second is created by the vortex beams when propagating through free space, and the third is created by the atmospheric turbulence inducing the vortex beams.
推导了部分相干双曲正弦高斯（ShG）涡旋光束在自由空间和非Kolmogorov大气湍流中传播时的交叉谱密度函数的解析表达式，并用于研究相干涡旋产生的分类和拓扑电荷守恒距离。随着广义结构常数和束腰宽度的增加，以及广义指数、湍流内尺度和空间相关长度的减小，拓扑电荷守恒距离将减小，而湍流外尺度和Sh部分参数对拓扑电荷守恒距离没有影响。根据产生方式，相干涡旋可分为三类：第一类是涡旋光束固有的相干涡旋，第二类是涡旋光束在自由空间传播时产生的，第三类是大气湍流诱导涡旋光束产生的。
