求解出了部分相干环状光束在非Kolmogorov 湍流中的瑞利区间解析表达式，并研究了湍流参量(广义指数α 、内尺度l0 、外尺度L0 )和光束参数对光束瑞利区间的影响。研究表明，湍流中瑞利区间zR| turb 随湍流增强而减小，且始终小于自由空间中瑞利区间zR| free ；zR| turb 随L0 (当3.6 < α < 4 时)的增大而减小，随l0 的增大而增大；zR| turb 随α 的增大先减小后增大，且在α = 3.11 处时存在极小值。此外，湍流对于光束瑞利区间的影响随相干参数β 、束腰w0 增大和遮拦比ε 、光束阶数M(N ) 的减小而增大。

The expression for the Rayleigh range of partially coherent annular beams propagating through non-Kolmogorov turbulence is derived, and the influence of turbulence parameters (generalized exponent parameterα , inner scale l0 , outer scale L0 ) and the beam parameters on the Rayleigh range is studied. It is shown thatRayleigh range zR| turb in turbulence decreases with increasing intensity of turbulence, and is always smaller than Rayleigh range zR| free in free space; zR| turb decreases with increasing L0 (just for 3.6 < α < 4 ) and increases with increasing l0 ; zR| turb does not monotonically vary with the increase of α , namely, it decreases firstly and then increases due to increasing α . When α = 3.11 , zR| turb reaches its minima. Additionally, the influence of turbulence on the Rayleigh range increases with increasing coherence parameter β , beam width w0 and decreasing obscure ratio ε , beam orders M(N ).