湍流大气中随机相位光束阵列的斜程传输特性
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摘要
基于广义惠更斯-菲涅耳原理,理论上研究了具有随机相位的激光束阵列在湍流大气中的斜程传输特性。主要研究了湍流强度、占空比、传输高度和光束间的相位差对光束阵列平均光强的影响。研究结果表明:湍流会使合成光强减弱,光束扩展;同时,占空比越小,合成光场的峰值光强越小,即合成效果越差;随着光束间相位差的增大,主峰强度快速下降,最终合成光束近似于单束高斯光束模型。与水平传输时的结果进行了比较,结果显示大气湍流对斜程传输光束扩展的影响明显小于水平传输的情况。计算模型和结果为工程实际中合成方案的选择和评估提供了参考。
Based on the extended Huygens-Fresnel principle, the properties of a beam array with random phase distributions propagation through a turbulence atmosphere in a slant path are analytically investigated. Influences of turbulence intensity, duty ratio, transmission height and the phase difference between the beams on the average intensity of the beam array are researched. The results show that turbulence can cause the decrease of the peak and the spreading of beam; at the same time, the smaller the duty ratio, the smaller peak intensity, the combination effect is even worse; with the random phase difference between the beams increasing, the main peak intensity decreases fast and the far-field coherent combining irradiance distribution gradually evolves into the pattern of the single Gauss beam distribution model. The results for a slant path are compared with those for a horizontal path,and as a result, the influence of the atmospheric turbulence to the beam spreading along the slant path is much smaller than that along the horizontal path. The mathematical model and calculation result can offer a reference for choosing and evaluating different combining schemes.
Based on the extended Huygens-Fresnel principle, the properties of a beam array with random phase distributions propagation through a turbulence atmosphere in a slant path are analytically investigated. Influences of turbulence intensity, duty ratio, transmission height and the phase difference between the beams on the average intensity of the beam array are researched. The results show that turbulence can cause the decrease of the peak and the spreading of beam; at the same time, the smaller the duty ratio, the smaller peak intensity, the combination effect is even worse; with the random phase difference between the beams increasing, the main peak intensity decreases fast and the far-field coherent combining irradiance distribution gradually evolves into the pattern of the single Gauss beam distribution model. The results for a slant path are compared with those for a horizontal path,and as a result, the influence of the atmospheric turbulence to the beam spreading along the slant path is much smaller than that along the horizontal path. The mathematical model and calculation result can offer a reference for choosing and evaluating different combining schemes.
引文
1 B Lü,B Zhang,H Ma,Beam-propagation factor and mode-coherence coefficients of hyperbolic-cosine Gaussian beams[J].Opt Lett,1999,24(10):640-642.
2 Y Cai,Y Chen,H T Eyyuboglu.Propagation of laser array beams in a turbulence atmosphere[J].Appl Phys B,2007,88:467-475.
3 Xiaoling Ji,Xiaoli Shao.Influence of turbulence on the beam propagation factor of Gaussian Schell-model array beams[J].Optics Communications,2010,283(6):869-873.
4 Wang Wei,He Bing,Zhou Jun,et al..Study on far-field intensity distribution of fiber laser used in coherent beam combination[J].Acta Optica Sinica,2009,29(8):2248-2255.王炜,何兵,周军,等.光纤激光相干阵列远场光强分布的影响分析[J].光学学报,2009,29(8):248-2255.
5 Pu Zhou,Xiaolin Wang,Yanxing Ma,et al..Propagation of partially coherent partially phase-locked laser array in turbulent atmosphere[J].Optics Communications,2010,283(6):1071-1074.
6 Liu Jun,Wu Pengli,Gao Ming.Wander and spreading of polarized and partially coherent laser propagation on slant path in turbulence atmospheric[J].Chinese J Lasers,2012,39(10):1013001.刘钧,吴鹏利,高明.偏振部分相干激光斜程湍流大气传输的漂移扩展[J].中国激光,2012,39(10):1013001.
7 Yi Xiuxiong,Guo Lixin,Wu Zhensen.Study on the optical scintillation for gaussian beam propagation in the slant path through the atmospheric turbulence[J].Acta Optica Sinica,2005,25(4):433-438.易修雄,郭立新,吴振森.高斯波束在湍流大气斜程传输中的闪烁问题研究[J].光学学报,2005,25(4):433-438.
8 Li Xiaofeng.The Principle and Technology of the Satellite-to-Ground Laser Communication Links[M].Beijing:National Defense Industry Press,2007:129-132.李晓峰.星地激光通信链路原理技术[M].北京:国际工业出版社,2007:129-132.
9 P Zhou,X Wang.Propagation of general-type of phase-locked beam array in a turbulent atmosphere[J].Appl Phys B,2010,100(4):903-908.
10 Yang Baolai,Wang Xiaolin,Zhou Pu,et al..Research on all-fiber laser coherent combining system based on fiber-loop[J].Chinese J Lasers,2014,41(10):1005001.杨保来,王小林,周朴,等.全光纤结构的光纤环被动锁相相干合成研究[J].中国激光,2014,41(10):1005001.
11 Xinyan Fan,Jingjiao Liu,Jinsheng Liu,et al..Coherent combining of a seven-element hexagonal fiber array[J].Optics&Laser Technology,2010,42(2):274-279.
12 Zheng Weiwei,Wang Liqin,Xu Jingping,et al..Studies on propagation of laser beam array with initial phase distributions in a turbulent atmosphere[J].Acta Physica Sinica,2009,58(7):5098-5103.郑巍巍,王丽琴,许静平,等.带初相位分布的径向基模激光束列阵在湍流大气中的传输特性研究[J].物理学报,2009,58(7):5098-5103.
13 Xiao Rui,Hou Jing,Jiang Zongfu.Effect of partial coherence laser arrays on far-field output properties[J].Acta Physica Sinica,2008,57(2):853-859.肖瑞,侯静,姜宗福.激光器阵列的部分相干性对相干合成远场输出特性的影响[J].物理学报,2008,57(2):853-859.
14 Pu Zhou,Zejin Liu,Xiaojun Xu,et al..Propagation of phase-locked partially coherent flattened beam array in turbulent atmosphere[J].Optics and Lasers in Engineering,2009,47(11):1254-1258.
15 Xiuxiang Chu,Zejin Liu,Yi Wu.Propagation of a general multi-Gaussian beam in turbulent atmosphere in a slant path[J].J Opt Soc Am A,2008,25(1):74-79.
16 Zhou Jian,Sun Jianfeng,Lu Wei,et al..Real-time measurement of atmospheric coherence length based on lateral shearing interferometry[J].Chinese J Lasers,2014,41(12):1208006.周健,孙建锋,鲁伟,等.基于剪切干涉法的大气相干长度直接实时测量[J].中国激光,2014,41(12):1208006.
17 ITU-R Document.Propagation Data and Prediction Methods Required for the Design of Space-to-Earth and Earth-to-Space Optical Communication Systems[R].Rec.ITU-R P.618-11,2001.
18 Pu Zhou,Xiaolin Wang,Yanxing Ma.Propagation of partially coherent partially phase-locked laser array in turbulent atmosphere[J].Optics Communications,2010,283(6):1071-1074.
2 Y Cai,Y Chen,H T Eyyuboglu.Propagation of laser array beams in a turbulence atmosphere[J].Appl Phys B,2007,88:467-475.
3 Xiaoling Ji,Xiaoli Shao.Influence of turbulence on the beam propagation factor of Gaussian Schell-model array beams[J].Optics Communications,2010,283(6):869-873.
4 Wang Wei,He Bing,Zhou Jun,et al..Study on far-field intensity distribution of fiber laser used in coherent beam combination[J].Acta Optica Sinica,2009,29(8):2248-2255.王炜,何兵,周军,等.光纤激光相干阵列远场光强分布的影响分析[J].光学学报,2009,29(8):248-2255.
5 Pu Zhou,Xiaolin Wang,Yanxing Ma,et al..Propagation of partially coherent partially phase-locked laser array in turbulent atmosphere[J].Optics Communications,2010,283(6):1071-1074.
6 Liu Jun,Wu Pengli,Gao Ming.Wander and spreading of polarized and partially coherent laser propagation on slant path in turbulence atmospheric[J].Chinese J Lasers,2012,39(10):1013001.刘钧,吴鹏利,高明.偏振部分相干激光斜程湍流大气传输的漂移扩展[J].中国激光,2012,39(10):1013001.
7 Yi Xiuxiong,Guo Lixin,Wu Zhensen.Study on the optical scintillation for gaussian beam propagation in the slant path through the atmospheric turbulence[J].Acta Optica Sinica,2005,25(4):433-438.易修雄,郭立新,吴振森.高斯波束在湍流大气斜程传输中的闪烁问题研究[J].光学学报,2005,25(4):433-438.
8 Li Xiaofeng.The Principle and Technology of the Satellite-to-Ground Laser Communication Links[M].Beijing:National Defense Industry Press,2007:129-132.李晓峰.星地激光通信链路原理技术[M].北京:国际工业出版社,2007:129-132.
9 P Zhou,X Wang.Propagation of general-type of phase-locked beam array in a turbulent atmosphere[J].Appl Phys B,2010,100(4):903-908.
10 Yang Baolai,Wang Xiaolin,Zhou Pu,et al..Research on all-fiber laser coherent combining system based on fiber-loop[J].Chinese J Lasers,2014,41(10):1005001.杨保来,王小林,周朴,等.全光纤结构的光纤环被动锁相相干合成研究[J].中国激光,2014,41(10):1005001.
11 Xinyan Fan,Jingjiao Liu,Jinsheng Liu,et al..Coherent combining of a seven-element hexagonal fiber array[J].Optics&Laser Technology,2010,42(2):274-279.
12 Zheng Weiwei,Wang Liqin,Xu Jingping,et al..Studies on propagation of laser beam array with initial phase distributions in a turbulent atmosphere[J].Acta Physica Sinica,2009,58(7):5098-5103.郑巍巍,王丽琴,许静平,等.带初相位分布的径向基模激光束列阵在湍流大气中的传输特性研究[J].物理学报,2009,58(7):5098-5103.
13 Xiao Rui,Hou Jing,Jiang Zongfu.Effect of partial coherence laser arrays on far-field output properties[J].Acta Physica Sinica,2008,57(2):853-859.肖瑞,侯静,姜宗福.激光器阵列的部分相干性对相干合成远场输出特性的影响[J].物理学报,2008,57(2):853-859.
14 Pu Zhou,Zejin Liu,Xiaojun Xu,et al..Propagation of phase-locked partially coherent flattened beam array in turbulent atmosphere[J].Optics and Lasers in Engineering,2009,47(11):1254-1258.
15 Xiuxiang Chu,Zejin Liu,Yi Wu.Propagation of a general multi-Gaussian beam in turbulent atmosphere in a slant path[J].J Opt Soc Am A,2008,25(1):74-79.
16 Zhou Jian,Sun Jianfeng,Lu Wei,et al..Real-time measurement of atmospheric coherence length based on lateral shearing interferometry[J].Chinese J Lasers,2014,41(12):1208006.周健,孙建锋,鲁伟,等.基于剪切干涉法的大气相干长度直接实时测量[J].中国激光,2014,41(12):1208006.
17 ITU-R Document.Propagation Data and Prediction Methods Required for the Design of Space-to-Earth and Earth-to-Space Optical Communication Systems[R].Rec.ITU-R P.618-11,2001.
18 Pu Zhou,Xiaolin Wang,Yanxing Ma.Propagation of partially coherent partially phase-locked laser array in turbulent atmosphere[J].Optics Communications,2010,283(6):1071-1074.