为了研究部分相干双曲余弦高斯激光瑞利区间所受到的大气湍流作用的影响，采用解析分析和数值计算的方法，研究了自由空间中瑞利区间所受各种因素的影响，发现激光瑞利区间随光束相干强度、高斯束腰宽度和大气湍流内尺寸的增强而增大，随大气折射率起伏强度和激光波长的增加而减小。结果表明，湍流内尺寸对瑞利区间的影响较为显著，而湍流外尺寸对瑞利区间的影响作用有限，瑞利区间的大小取决于大气质量和激光本身特性。

In order to study influence of atmospheric turbulence on the Rayleigh range of partially coherent cosh-Gaussian beams, analytical analysis and numerical simulation were carried out. It is found that the Rayleigh range increases with the increase of laser coherent beam intensity, Gaussian waist and the inner scale of atmospheric turbulence and decreases with the increase of atmospheric refractive index fluctuation intensity and laser wavelength. The results show that effect of the inner scale of atmospheric turbulence on the Rayleigh range is significant, but the influence of outer scale is weak. The Rayleigh range depends on air quality and laser properties.