部分相干双曲正弦-Gauss涡旋光束叠加形成的合成相干涡旋在非Kolmogorov大气湍流中的动态演化

摘要

一些实验表明,实际大气会偏离理想Kolmogorov模型.本文基于广义Huygens-Fresnel原理和Toselli等提出的非Kolmogorov湍流模型,推导出部分相干双曲正弦-Gauss（HSG）涡旋光束通过非Kolmogorov大气湍流的解析传输公式,并用以对两束部分相干HSG涡旋光束相干叠加和非相干叠加形成的合成相干涡旋在非Kolmogorov大气湍流中的动态演化进行了研究.结果表明,合成光束平均光强的演化过程与非Kolmogorov湍流的广义指数α,源平面上叠加涡旋光束拓扑电荷的符号,以及叠加方式有关.合成相干涡旋在非Kolmogorov大气湍流中传输时会出现移动、产生和湮灭.广义指数α,拓扑电荷符号,以及叠加方式都会影响其演化行为.最后,将本文所得结果与相关文献做了比较.%Some experiments show that the practical atmosphere deviates from ideal Kolmogorov model. In this paper, based on the extended Huygens-Fresnel principle and the non-Kolmogorov turbulence model proposed by Toselli et al., the analytical expression for the propagation of partially coherent hyperbolic-sine-Gaussian vortex beams through non-Kolmogorov atmospheric turbulence is derived and used to study the dynamic evolutions of composite coherence vortices formed by coherent and incoherent superpositions of two partially coherent hyperbolic-sine-Gaussian vortex beams in non-Kolmogorov atmospheric turbulence. It is shown that the evolution process of the average intensity of the superimposed beam depends on the general exponent c~ of the non-Kolmogorov turbulence, the sign of the topological charge of the superimposed vortex beam in the source plane, and superposition scheme. The motion, the creation and the annihilation of composite coherence vortices may take place upon propagation through non-Kolmogorov turbulence, and the general exponent a, sign of the topological charge and superposition scheme affect the evolution behavior. Finally, the results are compared with those of the previous work.