Qin Zhiyuan, Tao Rumao, Zhou Pu, Xu Xiaojun, Liu Zejin
Appl Opt. 2013 Nov 20;52(33):8176-83. doi: 10.1364/AO.52.008176.
Based on partially coherent Bessel-Gaussian beams (BGBs), the coherence evolution of the partially coherent beams carrying optical vortices in non-Kolmogorov turbulence is investigated in detail. The analytical formulas for the spatial coherence length of partially coherent BGBs with optical vortices in non-Kolmogorov turbulence have been derived by using the combination of a coherence superposition approximation of decentered Gaussian beams and the extended Huygens-Fresnel principle. The influences of beam and turbulence parameters on spatial coherence are investigated by numerical examples. Numerical results reveal that the coherence of the partially coherent laser beam with vortices is independent of the optical vortices, and the spatial correlation length of the beams does not decrease monotonically during propagation in non-Kolmogorov turbulence. Within a certain propagation distance, the coherence of the partially coherent beam will improve, and the improvement of the coherence of the partially coherent beams is closely related to the beam and turbulence parameters.
基于部分相干贝塞尔-高斯光束（BGBs），详细研究了携带光学涡旋的部分相干光束在非柯尔莫哥洛夫湍流中的相干演化。利用偏心高斯光束的相干叠加近似与扩展惠更斯-菲涅耳原理相结合的方法，推导了非柯尔莫哥洛夫湍流中携带光学涡旋的部分相干BGBs的空间相干长度解析公式。通过数值算例研究了光束和湍流参数对空间相干性的影响。数值结果表明，携带涡旋的部分相干激光束的相干性与光学涡旋无关，光束的空间相关长度在非柯尔莫哥洛夫湍流中传播时并非单调减小。在一定传播距离内，部分相干光束的相干性会提高，部分相干光束相干性的提高与光束和湍流参数密切相关。
