非柯尔莫哥诺夫湍流对部分相干双曲余弦高斯光束扩展的影响

基于非柯尔莫哥诺夫湍流模型,本文给出了部分相干双曲余弦高斯光束通过湍流传输的二阶矩束宽和相对束宽解析式,并研究了湍流参数(广义指数α、内尺度l0、外尺度L0)和光束参数(离心参数δ、相干参数β)对光束扩展的影响。研究表明:束宽随α的增大而先增大后减小,且在α=3.11处存在光束扩展极大值;束宽随l0的增大而减小,随L0的增大而略微增大(仅当α3.7时)。另外,束宽随δ的增大及β的减小而增大,但当δ越大和β越小时,光束扩展受湍流的影响则越小。

Influence of non-Kolmogorov turbulence on the beam spreading of partially coherent cosh-Gaussian Beams

Based on the model of non-Kolmogorov turbulence, the expressions for the mean squared beam width and the relative beam width of partially coherent cosh-Gaussian beams propagating through turbulence is de-rived, and the influence of turbulence parameters （generalized exponent parameterα、inner scale l0、outer scale L0 ） and the beam parameters （decentered parameter δand coherence parameter β）on the beam spreading is studied. It is shown that beam width does not monotonically vary with the increase ofα, it increases firstly and then decreases due to increasingα. Whenα=3.11 , the spreading of beams is largest. And the beam width increases with the de-crease of l0 and the increase of L0 （just forα〉3.7 ）. Additionally, beam width increases with increasing δand de-creasing β. However, the beams with larger δ and smaller β are less sensitive to the turbulence than those with smaller δand largerβ.