阵列光束在各向异性湍流大气传输时的光束漂移

量子电子学报

阵列光束在各向异性湍流大气传输时的光束漂移

陈盼盼1，屈军1，周正仙1，袁扬胜1,2

1 安徽师范大学物理与电子信息学院，安徽省光电材料科学与技术重点实验室，安徽芜湖 241002； 2 中国科学院西安光学精密机械研究所瞬态光学与光子技术国家重点实验室，陕西西安 710119

出版日期:2019-05-28 发布日期:2019-05-14
通讯作者: 袁扬胜（1980-），安徽霍邱人，博士，副教授，硕士生导师，主要从事光束传输与激光光通讯方面的研究。 E-mail:yysheng@ahnu.edu.cn
作者简介:陈盼盼（1997-），女，安徽芜湖人，主要从事光束传输方面的研究。E-mail：liessechen@ahnu.edu.cn
基金资助:
Supported by Open Research Fund of State Key Laboratory of Transient Optics and Photonics of Chinese Academy of Sciences（瞬态光学与光子技术国家重点实验室开放基金，SKLST201608）， National Undergraduate Training Program for Innovation and Entrepreneurship （大学生创新创业训练计划，201610370014）

Beam wander of array beams propagating through anisotropic turbulent atmosphere

CHEN Panpan1, QU Jun1, ZHOU Zhengxian1, YUAN Yangsheng1,2

1 College of Physics and Electronic Information, Anhui Province Key Laboratory of Optoelectric Materials Science and Technology, Anhui Normal University, Wuhu 241002, China; 2 State Key Laboratory of Transient Optics and Photonics, Chinese Academy of Sciences, Xi’an 710119, China

Published:2019-05-28 Online:2019-05-14

摘要/Abstract

摘要： 基于拓展的惠更斯-菲涅尔原理，推导出了圆对称阵列光束在各项异性湍流大气中传输的束腰宽度和光束漂移解析表达式，并对此表达式进行了数值模拟。结果表明：圆对称阵列光束在各项异性湍流大气传输时，阵列光束的高斯光束个数对光束漂移的影响较小，而高斯阵列所围成圆环的半径对光束漂移的影响较大，半径越大，阵列光束的漂移越小；各项异性湍流大气的幂律参数和各项异性因子也是影响光束漂移的主要因素。在相同条件下，阵列光束受到各项异性湍流大气的扰动比高斯光束小。

关键词: 大气光学, 光束漂移, 拓展的惠更斯-菲涅尔原理, 圆对称阵列光束

Abstract: Based on the extended Huygens-Fresnel principle, the analytical expressions of the beam width and beam wander for radial array beams in anisotropic turbulent atmosphere are derived. The numerical analysis results show that the beam wander of radial array beams is influenced by the number of Gaussian beam small, but the radius of the ring is large. There is small beam wander for radial array beams with the large radius of the ring. Beam wander is also mainly affected by the power law and anisotropic factor in anisotropic turbulence. At the same conditions, laser array beams in anisotropic turbulent atmosphere are less disturbed than Gaussian beam.

Key words: atmospheric optics, beam wander, extended Huygens- Fresnel principle, radial array beams

陈盼盼1，屈军1，周正仙1，袁扬胜1,2. 阵列光束在各向异性湍流大气传输时的光束漂移[J]. 量子电子学报.

CHEN Panpan1, QU Jun1, ZHOU Zhengxian1, YUAN Yangsheng1,2. Beam wander of array beams propagating through anisotropic turbulent atmosphere[J]. Chinese Journal of Quantum Electronics.

参考文献

[1] Wang H, Li X. Propagation properties of radial partially coherent flat-topped array beams in a turbulent atmosphere [J]. Optics Communications, 2010, 283(21):4178-4189 [2] Qu J, Fei J,Yuan Y, et al.M 2 factor of flattened radial Gaussian laser beam array in turbulent atmosphere [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2010, 27(6):669-676 [3] Hu M, Tian J, Wang R, et al. Theory and experiments of generation of arbitrary order nondiffractiong beams array by phase holograms [J]. Chinese Journal of Quantum Electronics (量子电子学报), 2011, 28(2):157-162 [4] Li C, Deng C, Lü B. Propagation properties of nonparaxial radial array Gaussian laser beams [J]. High Power Laser & Particle Beams （强激光与粒子束），2012, 24(5):1019-1023（in Chinese） [5] Yousefi M, Kashani F D, Mashal A. Analyzing the average intensity distribution and beam width evolution of phase-locked partially coherent radial flat-topped array laser beams in oceanic turbulence [J]. Laser Physics, 2017, 27(2): 026202 [6] Eyyubo?lu H T, Baykal Y, Cai Y. Scintillations of laser array beams [J]. Applied Physics B, 2008, 91(2):265-271 [7] Zhang Y. Study on propagation properties of array beams in atmosphere turbulent in FSO system [D]. Xi’an: Xi’an University of Technology, 2017 张雅. FSO系统中阵列光束在大气湍流中的传输特性研究[D]. 硕士论文，西安：西安理工大学, 2017 [8] Ji X. Influence of atmospheric turbulence on the spreading and directionality of radial Gaussian array beams [J]. Acta Physica Sinica（物理学报），2010, 59(01):692-698 (in Chinese) [9] Cai Y, Chen Y, Eyyubo?lu H T, et al. Propagation of laser array beams in a turbulent atmosphere [J]. Applied Physics B, 2007, 88(3):467-475 [10] Grechko G M, Gurvich A S, Kan V, et al. Anisotropy of spatial structures in the middle atmosphere [J]. Advances in Space Research, 1992, 12(10):169-175 [11] Robert C, Conan J M, Michau V, et al. Retrieving parameters of the anisotropic refractive index fluctuations spectrum in the stratosphere from balloon-borne observations of stellar scintillation [J]. Journal of the Optical Society of America A Optics Image Science & Vision, 2008, 25(2):379-393 [12] Hotten L J, Roggemann L C, Jones B A, et al. High bandwidth atmospheric turbulence data collection platform [C]. SPIE, 1999, 3866 [13] Wang F, Korotkova O. Random optical beam propagation in anisotropic turbulence along horizontal links[J]. Optics Express,2016, 24(21): 24422-24434 [14] Lü B, Ma H. Beam propagation properties of radial laser arrays [J]. Journal of the Optical Society of America A Optics Image Science & Vision, 2000, 17(11):2005-2009 [15] Xiao X, Voelz D G, I. Toselli, et al. Gaussian beam propagation in anisotropic turbulence along horizontal links: theory, simulation, and laboratory implementation [J]. Applied Optics. 2016,55(15):4079–4084 [16] Yao M, Toselli I, Korotkova O. Propagation of electromagnetic stochastic beams in anisotropic turbulence [J]. Optics Express, 2014, 22(26):31608-19 [17] Wang J, Zhu S, Wang H, et al. Second-order statistics of a radially polarized cosine-Gaussian correlated Schell-model beam in anisotropic turbulence [J]. Optics Express, 2016, 24(11):11626-11639 [18] Toselli I. Introducing the concept of anisotropy at different scales for modeling optical turbulence [J]. Journal of the Optical Society of America A Optics Image Science & Vision, 2014, 31(8):1868-1875 [19] Siegman A E, New developments in laser resonators [C]. SPIE. 1990, 1224 :2-14 [20] Yu S, Chen Z, Wang T, et al. Beam wander of electromagnetic Gaussian-Schell model beams propagating in atmospheric turbulence [J]. Applied Optics, 2012, 51(31):7581-7585