中文摘要：

基于广义惠更斯菲涅尔原理，通过将拉盖尔高斯光束场方程转化为厄米多项式的形式，计算得到了在非Kolmogorov湍流中传输的平均光强和均方根束宽表达式。数值结果表明，光束阶数越大，波长越长，传输距离越短，则归一化平均光强曲线转变为高斯形式越慢，同时，湍流幂律指数和内尺度越大，基模高斯束宽和湍流外尺度越小，非Kolmogorov湍流对标准拉盖尔高斯光束的作用越小。

英文摘要：

Based on extended Huygens -Fresnel principle,the average intensity and the beam width of Standard Laguerre Gaussian beams propagating in non-Kolmogorov turbulence were derived,making use of the Hermite polynomials.Numerical results show that the average intensity profile converts into Gaussian form more slower with larger beam orders and wavelength,or shorter propagating distance.Moreover,the beam width of Standard Laguerre Gauss beams is less affected by non Kolmogorov turbulence with larger turbulent power law exponent and inner scale, or smaller beam width of the fundamental Gaussian mode and outer scale of turbulence.