Beam Propagation Factor of a Partially Coherent Twisted Elliptical Vortex Beam in Inhomogeneous Atmospheric Turbulence

Pub Date : 2023-08-26 DOI:10.1007/s10946-023-10150-w
Wenli Liu, Yonggen Xu, Bangzhuo An, Qian Xu, Nianchi Hao, Yongtao Liu
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Abstract

Based on the extended Huygens–Fresnel principle and the second-order moments of the Wigner distribution function (WDF), we derive the analytical formulas for the root-mean-square (rms) spatial width, rms angular width, and M2-factor of a partially coherent twisted elliptical vortex beam (PCTEVB) propagating through the inhomogeneous atmospheric turbulence. The spatial spreading, angular width, and M2-factor of a PCTEVB in turbulence are investigated numerically and comparatively. We find an interesting result that the relative rms angular width and M2-factor of PCTEVB with a small ellipticity propagating through turbulence decreases, meaning that the elliptical vortex beam is less affected by the inhomogeneous atmospheric turbulence in comparison with the traditional vortex beam. We also find that the relative M2-factor and the relative rms angular width of PCTEVB mainly depend on the topological charge, twist factor, initial coherent length, zenith angle, and propagation distance. In addition, the PCTEVB, with a small initial coherent length and ellipticity as well as a large twist factor, has a stronger anti-turbulence ability. Our outcomes may have future extensive possibilities in free-space optical communications.

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非均匀大气湍流中部分相干扭曲椭圆涡旋光束的传播系数
基于扩展的惠更斯-菲涅耳原理和Wigner分布函数(WDF)的二阶矩,导出了部分相干扭曲椭圆涡旋光束(PCTEVB)在非均匀大气湍流中传播的均方根空间宽度、均方根角宽度和m2因子的解析公式。对PCTEVB在湍流中的空间扩散、角宽度和m2因子进行了数值比较研究。我们发现了一个有趣的结果,具有小椭圆度的PCTEVB在湍流中传播的相对rms角宽度和m2因子减小,这意味着与传统涡旋光束相比,椭圆涡旋光束受非均匀大气湍流的影响较小。我们还发现PCTEVB的相对m2因子和相对均方根角宽度主要取决于拓扑电荷、扭转因子、初始相干长度、天顶角和传播距离。此外,PCTEVB具有较小的初始相干长度和椭圆度以及较大的扭转因子,具有较强的抗湍流能力。我们的研究成果在自由空间光通信领域具有广泛的应用前景。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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