基于非Kolmogorov谱模型，利用广义惠更斯-菲涅耳原理，推导出了高斯谢尔模型（GSM）光束在非Kolmogonov大气湍流中光谱的解析表达式，并用其研究了非Kolmogorov大气湍流对GSM光束光谱变化的影响。结果表明，GSM光束在非Kolmogorov大气湍流中传输时有光谱移动（蓝移和红移）和光谱跃变发生。光谱跃变的发生与离轴距离r、广义指数参量[α]、广义结构常量[C2n]、湍流内尺度l0、湍流外尺度L0和传输距离z有关。随着广义指数参量[α]的增大、湍流内尺度l0的增大及广义结构常量[C2n]的减小，光谱跃变量[Δ]减小，光谱跃变临界位置zc增大。该研究工作可为自由空间光通信等实际应用提供理论模型和计算依据。

Based on the non-Kolmogorov spectrum, using the extended Huygens-Fresnel principle, the analytical expressions for the spectrumof Gaussian-Schell model (GSM) beams propagating through non-Kolmogorov atmospheric turbulence are derived and used to study the influence of non-Kolmogorov atmospheric turbulence on spectral changes of GSM beams. It is shown that there exist spectral shifts (blueshift and redshift) and spectral transition of GSM beams propagating through non-Kolmogorov atmospheric turbulence. The spectral transition depends on the off-axis distance r, the general exponenta, the general structure constant [C2n], the inner scale l0, the outer scale L0, and the propagation distance z. With the increment of the general exponenta and the inner scale l0, as well as the decrement of the general structure constant [C2n], the spectral transition magnitude [Δ] will decrease and the critical position of spectral transition zc will increase. This work will provide theoretical model and computational basis for researches such as free space optical communications.