为了研究双曲余弦高斯光束在非Kolmogorov湍流中的扩展, 采用广义惠更斯-菲涅耳原理, 推导出部分相干双曲余弦高斯光束在非Kolmogorov湍流中的湍流距离zt的解析表达式。对湍流参量(广义指数α、内尺度l0、外尺度L0)和光束参量(相干参量β、离心参量δ)对湍流距离的影响进行了理论分析。结果表明, zt随α的增大而先减小后增大, 且在α=3.11处存在zt极小值; zt随l0和δ的增大而增大, 随L0(仅当3.6<α<4时)和β的增大而减小。这一结果对双曲余弦高斯光束在实际湍流中传输的相关应用是有帮助的。

To study the spreading of cosh-Gaussian beams propagating through non-Kolmogorov turbulence, extended Huygens-Fresnel principle was used. The expression of turbulence distance zt of partially coherent cosh-Gaussian beams propagating through turbulence was derived. The influence of turbulence parameters (generalized exponent parameter α, inner scale l0and outer scale L0) and beam parameters (coherence parameter β and decentered parameter δ)on turbulence distance was studied theoretically. The results show that turbulence distance zt decreases firstly and then increases with the increase of α. When α=3.11, zt is minimum. And zt increases with the increase of l0 and δ, decreases with the increase of L0(just for 3.6<α<4) and β. The results will be useful for the applications of cosh-Gaussian beams propagating in non-Kolmogorov turbulence.