海洋湍流中部分相干环状光束的空间相干性

基于广义惠更斯-菲涅耳原理，推导出了部分相干环状光束在海洋湍流中传输时光束相干度的解析公式，详细研究了光束相干度以及相干度宽度随传输距离、海洋湍流参数和光束参数的变化。研究结果表明：部分相干环状光束在自由空间和弱海洋湍流中传输时其光束相干度会出现振荡现象，但随着海洋湍流增强最终趋于类高斯分布。在弱海洋湍流情况下，光束相干度宽度在某一传输距离处达到极大值，并且它与环状光束遮拦比和光束相干参数有关。但是，在强海洋湍流情况下，光束遮拦比和相干参数对光束相干度的影响不大。所得结果对工作于水下湍流环境中的部分相干环状光束的应用具有意义.

Abstract

Based on the extended Huygens-Fresnel principle, the analytical expression for the coherence degree of partially coherent annular beams propagating through oceanic turbulence is derived. The changes of the coherence degree and the width of the coherence degree of partially coherent annular beams versus the propagation distance, the oceanic turbulence parameters and the beam parameters are investigated in detail. It is shown that the oscillatory behavior of the coherence degree may appear with partially coherent annular beams propagating in free space or weak oceanic turbulence, but the coherence degree takes a Gaussian-like profile as the strength of oceanic turbulence increases. On the other hand, under weak oceanic turbulence condition, the width of the coherence degree reaches a maximum at a certain propagation distance, which depends on the obscure ratio and the correlation parameter of annular beams. However, under strong oceanic turbulence condition, the coherence degree is nearly independent of the obscure ratio and the correlation parameter of annular beams. The results are useful for applications of partially coherent annular beams in oceanic turbulence.

参考文献

[1] T Shirai, A Dogariu, E Wolf. Directionality of Gaussian Schell-model beams propagating in atmospheric turbulence[J]. Opt Lett, 2003, 28(8): 610-612.

[2] J Wu, A D Boardman. Coherence length of a Gaussian-Shell beam and atmospheric turbulence[J]. J Mod Opt, 1991, 38(7): 1355-1363.

[3] Ji Xiaoling, Li Xiaoqing, Chen Sunhuei, et al.. Spatial correlation properties of Gaussian-Schell model beams propagating through atmospheric turbulence[J]. J Mod Opt, 2008, 55(6): 877-891.

[4] Ji Xiaoling, Chen Xiaowen, Chen Sunhuei, et al.. Influence of atmospheric turbulence on the spatial correlation properties of partially coherent flat-topped beams[J]. J Opt Am A, 2007, 24(11): 3554-3563.

[5] H Gerekciolu, Y. Baykal. Intensity fluctuations of flat-topped beam in non-Kolmogorov weak turbulence[J]. J Opt Soc Am A, 2012, 29(2): 169-173.

[6] Yangjian Cai, Sailing He. Propagation of various dark hollow beams in a turbulent atmosphere[J]. Opt Express, 2006, 14(4): 1353-1367.

[7] 柯熙政，韩美苗，王明军. 部分相干光在大气湍流中水平传输路径上的展宽与漂移[J]. 光学学报, 2014, 34(11): 1106003.

Ke Xizheng, Han Meimiao, Wang Mingjun. Spreading and wander of partially along a horizontal-path in the coherent beam propagating atmospheric turbulence[J]. Acta Optica Sinica, 2014, 34(11): 1106003.

[8] 黄永平，段志春，贺也洹，等. 部分相干平顶光束在非Kolmogorov大气湍流中湍流距离的变化[J]. 中国激光, 2014, 41(9): 0913002.

Huang Yongping, Duan Zhichun, He Yehuan, et al.. Change of turbulence distance for partially coherent flat-topped beams propagating through non-Kolmogorov turbulence[J]. Chinese J Lasers, 2014, 41(9): 0913002.

[9] Huang Yongping, Zhang Bin, Gao Zenghui, et al.. Evolution behavior of Gaussian Schell-model vortex beams propagating through oceanic turbulence[J]. Opt Express, 2014, 22(15): 17723-17734.

[10] N Farwell, O Korotkova. Intensity and coherence properties of light in oceanic turbulence[J]. Opt Commun, 2012, 285(1): 872-875.

[11] O Korotkova, N Farwell. Effect of oceanic turbulence on polarization of stochastic beams[J]. Opt Commun, 2011, 284(1): 1740-1746.

[12] Zhou Ying, Chen Qi, Zhao Daomu. Propagation of astigmatic stochastic electromagnetic beams in oceanic turbulence[J]. Appl Phys B, 2014,114(4): 475-482.

[13] M Born, E Wolf. Principles of Optics[M]. Cambridge: Cambridge University Press, 1997.

[14] 陈晓文，季小玲. 湍流对部分想干环状光束空间相干性的影响[J]. 中国激光, 2009, 36(9): 2319-2325.

Chen Xiaowen, Ji Xiaoling. Influence of turbulence on spatial correlation properties of partially coherent annular beams[J]. Chinese J Lasers, 2009, 36(9): 2319-2325.

[15] Lu Wei, Liu Liren, Sun Jianfeng. Change in degree of coherence of partially coherent electromagnetic beams propagating through atmospheric turbulence[J]. Opt Commun, 2007, 271(1): 1-8.

[16] Lu Lu, Ji Xiaoling, Y Baykal. Wave structure function and spatial coherence radius of plane and spherical waves propagating through oceanic turbulence[J]. Opt Express, 2014, 22(22): 27112-27122.

[17] L Mandel, E Wolf. Optical Coherence and Quantum Optics [M]. Cambridge: Cambridge University Press, 1995.

[18] L C Andrews, R L Phillips. Laser Beam Propagation through Random Media［M］. Washington: SPIE Press, 2005.

蒲欢, 季小玲, 杨婷. 海洋湍流中部分相干环状光束的空间相干性[J]. 光学学报, 2015, 35(s1): s101002. Pu Huan, Ji Xiaoling, Yang Ting. Spatial Coherence of Partially Coherent Annular Beams in Oceanic Turbulence[J]. Acta Optica Sinica, 2015, 35(s1): s101002.

海洋湍流中部分相干环状光束的空间相干性

关于本站 Cookie 的使用提示

全站搜索

海洋湍流中部分相干环状光束的空间相干性

相关论文

相关资讯

关于本站 Cookie 的使用提示

全站搜索