In this paper, the propagation properties of a vortex cosh-Gaussian beam (vChGB) in turbulent atmosphere are investigated. Based on the extended Huygens–Fresnel diffraction integral and the Rytov method, the analytical expression for the average intensity of the vChGB propagating in the atmospheric turbulence is derived. The effects of the turbulent strength and the beam parameters on the intensity distribution and the beam spreading are illustrated numerically and analyzed in detail. It is shown that upon propagating, the incident vChGB keeps its initial hollow dark profile within a certain propagation distance, then the field loses gradually its central hole-intensity and transformed into a Gaussian-like beam for large propagation distance. The rising speed of the central peak is demonstrated to be faster when the constant strength turbulence or the wavelength are larger and the Gaussian width is smaller. The obtained results can be beneficial for applications in optical communications and remote sensing.

在本文中，研究了涡旋高斯光束 (vChGB) 在湍流大气中的传播特性。基于扩展的惠更斯-菲涅耳衍射积分和Rytov方法，推导出了在大气湍流中传播的vChGB平均强度的解析表达式。数值说明和详细分析了湍流强度和光束参数对强度分布和光束扩展的影响。结果表明，在传播过程中，入射vChGB在一定的传播距离内​​保持其初始空心暗轮廓，然后场逐渐失去其中心空穴强度并转变为大传播距离的类高斯光束。表明恒强湍流或波长越大、高斯宽度越小，中心峰的上升速度越快。获得的结果有利于光通信和遥感的应用。