环状光束在非Kolmogorov大气湍流中传输的理论研究

Theoretical Investigation of Annular Beams Propagation Through Non⁃Kolmogorov Atmospheric Turbu⁃lence

基于广义惠更斯-菲涅耳原理,利用非Kolmogorov谱,推导出环状光束在非Kolmogorov大气湍流中传输的束宽和角扩展的解析表达式.从理论上分析,它们的变化除了与环状光束的光束参数(束腰、波长、阶数和遮拦比)和传输距离有关外,由于湍流的影响,还与湍流的广义指数参数α、内尺度l0和外尺度L0有关,并进行了一定的物理解释.

Analytical expressions for the beam width and angular spread of annular beams through non-Kolmogorov turbulence are derived by using the extended Huygens-Fresnel principle and non-Kolmogorov spectrum.Theoretically,the results show that the beam width and angular spread of annular beams depend on the beam parameters(beam waist,wavelength,beam order and obscuration ratio),the propagation distance,and the generalized exponential parameterα,inner scale l0 and the outer scale on L0 of turbulence due to the effects of turbulence.And the main result obtained in this paper is explained physically.