为了研究截断高斯-谢尔光束在非Kolmogorov 湍流中的相对扩展。采用广义惠更斯-菲涅耳原理和积分变换技术求解出了光束在非Kolmogorov 湍流中的二阶矩束宽和相对束宽的表达式，并定量地研究了束宽和相对束宽随束腰w0 、相干参数α 、截断参数δ 及湍流广义指数γ 的变化规律。研究发现α 和δ 越小，湍流对光束扩展的影响则越小，湍流对光束扩展的影响随w0 和γ 的增大而先增大后减小，并对主要结果给出了相应的物理解释。

To study the relative spreading of truncated Gaussian Shell-model (GSM) beam propagating through non-Kolmogorov turbulence, the extended Huygens-Fresnel principle and integral transform technique are used to derive the expressions for the mean-squared width and relative width of truncated GSM beam propagating through non-Kolmogorov turbulence. The variation of the mean-squared width and relative width versus waist width w0, coherence parameter α , truncation parameter δ and generalized exponent parameter γ are analyzed numerically. The results show the beam spreading is less affected by turbulence with the smaller α and δ , and the influence of non-Kolmogorov turbulence on beam spreading increases first and then decreases due to increasing waist width w0 and γ . The results obtained above are explained physically.