推导出了高斯谢尔(GSM)光束通过非Kolmogorov湍流大气传输的瑞利区间zR和湍流距离zT解析表达式，并研究了湍流参量（广义指数α、内尺度l0及外尺度L0）对部分相干光扩展的影响。研究表明，随着α的增大，zR先减小而后增大，且在α=3.11处时存在极小值，即光束扩展的极大值。zR随L0的减小而增大(仅当3.6<α<4时);zR随l0的增大而增大。当α>3.11时，α越大，l0对于zR的影响越小。值得指出的是：若相干参数β或束腰半径w0较小时，不论α取何值，在瑞利范围之内，湍流大气对光束扩展几乎不构成影响；相反，β或w0取较大值，不论α取何值，在瑞利区间范围内湍流大气对光束扩展都会产生明显的影响。此外，若β或w0取值在一定范围内，湍流大气是否能在瑞利区间范围内对光束扩展构成影响将与广义指数α相关。

The expressions of the Rayleigh range zR and turbulence distance zT of Gaussian-Shell model (GSM) beams propagating through non-Kolmogorov turbulence are derived, and the influence of turbulence parameters (generalized exponent parameter α、 inner scale l0and outer scale L0) on the spreading of partially coherent beams is studied. It is shown that zR decreases firstly and then increases due to increasing α. When α=3.11, zR reaches its minimum, which means that the spreading of beams is maximum. The Rayleigh range zR increases with decreasing outer scale L0 for 3.6<α<4 and increasing inner scale l0. When α>3.11, the influence of l0 on zR becomes smaller with larger α. It is worthy to be mentioned that the spreading of the beams is hardly affected by the turbulence within the Rayleigh range for small value of coherence parameter β or waist width w0, unrelated to α. Conversely, when the values of β or w0 are large enough, the spreading is affected by turbulence within Rayleigh range for different values of α. In addition, when the values of β or w0 are in a certain range, whether the spreading is affected by turbulence within Rayleigh range will be concerned with generalized exponent parameter α.