厄米-高斯光束在非Kolmogorov大气湍流中的传输性质

基于广义惠更斯-菲涅尔原理和非Kolmogorov(非K)谱,推导出了厄米-高斯光束在非K大气湍流中传输的束宽、角扩展以及M²因子的解析表达式.数值计算表明,在传输距离比较远(如z≥3 km)时,厄米-高斯光束的束宽、角扩展和M²因子随广义指数参量α的增大而增加直到α=3.11时达到最大值后再随α的增大而减小;随湍流的内尺度l₀的减小而增大;随外尺度l₀的增加而增大(3.6<α<4).但是当广义指数参量α在3<α<3.6区间取值时,束宽和M²因子几乎不随外尺度的增加而变化.

Propagation Properties of Hermite-Gaussian Beams in Non-Kolmogorov Turbulence

Based on the extended Huygens-Fresnel principle and non-Kolmogorov spectrum, analytical expressions for the beam width, angular spread and M²-factor of Hermite-Gaussian (H-G) beams through non-Kolmogorov turbulence are derived. The results show that at a sufficiently long propagation distance(such as z≥3 km), the beam width, angular spread and the M²-factor of H-G beams through non-Kolmogorov turbulence all increase with the increasing outer scale l₀(3.6<α<4)and decreasing inner scale l₀, and increase with the increasing exponent parameter α until it reaches its maximum value at α=3.11, then decrease with increasing α. However, the beam width and M²-factor of H-G beams hardly vary with increasing outer scale l₀ in the region 3<α<3.6.