The analytical expressions for the Rayleigh range of partially coherent cosh-Gaussian beams both in free space and in atmospheric turbulence are derived. The influence of turbulence on the Rayleigh range of partially coherent cosh-Gaussian beams is studied. It is shown that the Rayleigh range of partially coherent cosh-Gaussian beams depends on the strength of turbulence and the beam parameters. The Rayleigh range decreases due to turbulence. The stronger the turbulence, the shorter the Rayleigh range is. In free space, the Rayleigh range increases with the increase of beam coherence parameter a , beam parameterβ and Gaussian waist width w0, and the decrease of wave length A. However, the Rayleigh range is less sensitive to turbulence with a , β and w0 decreasing and A increasing. Furthermore, the influence of turbulence can be ignored when α , β and w0 are small enough and γ is large enough.%推导出了部分相干双曲余弦高斯光束在自由空间和湍流大气中传输瑞利区间的解析公式,并研究了湍流对光束瑞利区间的影响.研究表明,部分相干双曲余弦高斯光束的瑞利区间由湍流强度和光束参数等因数共同确定.湍流使得光束的瑞利区间缩短,并且湍流越强瑞利区间越短.在自由空间中,瑞利区间随光束相干参数α、光束参数β和高斯束宽w0的增大以及波长λ的减小而增大.但是,α,β和w0越小以及λ越大,瑞利区间受湍流的影响越小.并且,当α,β和w0足够小以及λ足够大时湍流对瑞利区间的影响可以忽略.
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