根据二阶矩理论和在非Kolmogorov湍流中光束漂移的一般表达式得到了厄米高斯相关谢尔模型光束(HGCSMB)在非Kolmogorov湍流中的解析式, 并对其进行了数值模拟。研究结果表明, 光束漂移均方根Bw和相对光束漂移Bwr随着传输距离z和广义指数参数α的增大而增大, 且Bwr与Bw都随着折射率结构常数Cn2、湍流外尺度L0以及相干长度δ0x、δ0y的增大而增大, 随阶数m、n的减小而增大。此外, 当湍流外尺度L0大约大于50 m后, L0对Bw的影响明显减小。另外, 在相同条件下, 椭圆高斯相关谢尔模型光束的漂移现象比HGCSMB的漂移现象明显。

According to the second-order moment theory and the general expression of beam wander in non-Kolmogorov turbulence, the analytical expression of the Hermite Gaussian correlated Schell-model beam in non-Kolmogorov turbulence is obtained, and it is numerically simulated. The results show that the beam wander root mean square Bw and relative beam wander Bwr increase with the increase of propagation distance z and the generalized exponent parameter α. Both Bwr and Bw increase with increasing refractive index structure constant Cn2, the outer scale of turbulence L0, and the coherence lengths δ0x, δ0y, and increase with decreasing orders m, n. In addition, when the outer scale of turbulence L0 is greater than 50 m, the influence of L0 on Bw is decreased obviously. In addition, under the same conditions, the beam wander of the elliptical Gaussian correlated Schell-model beam is more obvious than the HGCSMB wander phenomenon.