Wanjun Wang, Zhensen Wu, Qingchao Shang, Lu Bai
Opt Express. 2018 Aug 20;26(17):21712-21724. doi: 10.1364/OE.26.021712.
The average intensity of the Bessel Gaussian beams propagating through the non-Kolmogorov turbulence based on Rytov theory is derived without the quantic approximation in this paper. Therefore, this result is comparatively more accurate than that calculated by the extended Huygens-Fresnel principle, especially when the inner scale of the turbulence is small or the beams width is large. There is an interesting finding which does not exist in Gaussian beams propagation. It is the intensity variation with the inner scale that displays different behaviors when the beams width is different. Moreover, there will be some beams with specific source width, whose average intensities on the axis do not affected by the turbulence after the inner scale increasing to a certain value as their turbulence perturbation is zero. And the beams here become to the flat top beams. In summary, this paper provides an accurate method for the investigation of the Bessel Gaussian beams propagation through the non-Kolmogorov turbulence and improves the theoretical basis for the applications.
本文基于Rytov理论，在无量子近似的情况下推导了贝塞尔高斯光束在非Kolmogorov湍流中传播的平均强度。因此，该结果比用扩展惠更斯-菲涅耳原理计算的结果相对更精确，特别是当湍流的内尺度较小或光束宽度较大时。有一个有趣的发现，这在高斯光束传播中不存在。即当光束宽度不同时，强度随内尺度的变化表现出不同的行为。此外，对于某些具有特定源宽度的光束，当内尺度增加到一定值后，其轴上平均强度不受湍流影响，因为它们的湍流微扰为零。这里的光束变成了平顶光束。总之，本文为研究贝塞尔高斯光束在非Kolmogorov湍流中的传播提供了一种精确方法，并完善了其应用的理论基础。
