Based on the extended Huygens–Fresnel integral and the Rytov phase structure function, the closed-form expression of a partially coherent array finite Airy beams (PCAFABs) cutting through the Kolmogorov atmospheric turbulence is derived in the space domain under the paraxial approximation. The characteristics of the PCAFABs evoluting in the atmospheric environment are investigated in detail on the basis of the derived wave propagation formulae. We mainly illustrate the intensity profile of this beam changed with the truncation parameter, coherence length, and turbulence factor at several cross sections of the atmospheric space by means of numerical figures. It is convinced that the present concept and derived conclusions will provide useful exploration for learning the optical properties of the PCAFABs transmitting in the atmospheric turbulence, especially for free-space optical communication area.

中文翻译：

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在大气湍流中传播的部分相干阵列有限通风光束的强度分布

基于扩展的惠更斯-菲涅耳积分和Rytov相结构函数，在近轴近似下，在空间域中推导了切开穿过Kolmogorov大气湍流的部分相干阵列有限艾里光束（PCAFAB）的闭式表达式。根据推导的波传播公式，详细研究了在大气环境中不断演变的PCAFAB的特征。我们主要通过数值图说明在大气空间的几个横截面上随截断参数，相干长度和湍流因子而变化的光束强度分布。坚信，本概念和得出的结论将为了解PCAFAB在大气湍流中传输的光学特性提供有益的探索，