拓扑电荷在大气湍流中的守恒距离

Distance for Conservation of Topological Charge in Atmospheric Turbulence

基于非Kolmogorov谱模型和广义惠更斯一菲涅耳原理，以双曲余弦高斯（ChG）涡旋光束为例，对部分相干ChG涡旋光束在非Kolmogorov大气湍流传输中拓扑电荷的守恒距离做了详细的研究。研究表明，广义结构常量Cn^2越大，广义指数参量α越小，湍流内尺度l0越小，空间相关长度σ0越小，束腰宽度ω0越大，则拓扑电荷守恒距离越小，而湍流外尺度L0和双曲余弦部分参数Ω0对拓扑电荷守恒距离无影响。

Based on the non-Kolmogorov spectrum and the generalized Huygens-Fresnel principle, taking the cosh- Gaussian （ChG） vortex beams as a typical example, the distance for the conservation of topological charge of partially coherent ChG vortex beams propagating through non-Kolmogorov atmospheric turbulence is studied. With the increment of general structure constant Cn^2 and the waist width ω0, as well as the decrement of the general exponent a, the inner scale lo and spatial correlation length σ0, the distance for the conservation of topological charge will decrease , whereas outer scale L0 and part parameters of hyperbolic cosine Ω0 has no effect on the distance for the conservation of topological charge.