部分相干光束经过湍流大气传输研究进展

王飞; 余佳益; 刘显龙; 蔡阳健

doi:10.7498/aps.67.20180877

摘要

相较于相干光束，部分相干光束经过湍流大气传输能够有效地抑制湍流引起的光束展宽、光斑漂移及光强闪烁等扰动效应，在自由空间光通信、激光雷达和激光遥感等方面有重要的应用前景.近年来，部分相干光束湍流大气传输研究受到越来越多学者的关注.本文回顾了部分相干光束在湍流大气中传输特性研究的发展历程、理论基础及常用的理论方法，介绍了处理光束经过湍流大气传输的相位屏数值模拟方法，以及如何把该方法运用到处理部分相干光束传输.

关键词:

Abstract

Compared with coherent laser beams, partially coherent beams have advantages of effectively reducing turbulence-induced extra beam spreading, beam wander and intensity scintillation on propagation through turbulent atmosphere, and have promising applications in free-space optical communications, laser radar and remote sensing. Recently, more and more attention was paid to the propagation of partially coherent beams through turbulent atmosphere. In this article, we first review historically the research progress of the propagation of partially coherent beams in atmospheric turbulence. And we describe in detail the basic theory for the calculation of average intensity, second-order moment and scintillation index of partially coherent beams in turbulence based on the extended Huygens-Fresnel principle and Rytov method. We also present a phase screen method of numerically simulating the propagation of coherent beams through turbulent atmosphere, and then extend such a method to treating the propagation of partially coherent beams.

Keywords:

作者及机构信息

1.
苏州大学物理科学与技术学院, 苏州 215006;

2.
苏州大学, 苏州纳米科技协同创新中心, 苏州 215006;

3.
山东师范大学物理与电子科学学院, 光场调控及应用中心, 济南 250358

通信作者: 蔡阳健, yangjiancai@suda.edu.cn

基金项目: 国家自然科学基金重大研究计划重点项目（批准号：91750201）、国家杰出青年科学基金（批准号：11525418）、国家自然科学基金（批准号：11474213）和江苏高校青蓝工程资助的课题.

Authors and contacts

1.
School of Physical Science and Technology, Soochow University, Suzhou 215006, China;

2.
Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University, Suzhou 215006, China;

3.
Center of Light Manipulations and Applications, College of Physics and Electronics, Shandong Normal University, Jinan 250358, China

Corresponding author: Cai Yang-Jian, yangjiancai@suda.edu.cn

Funds: Project supported by the Major Research Plan of the National Natural Science Foundation of China (Grant No. 91750201), the National Natural Science Fund for Distinguished Young Scholar, China (Grant No. 11525418), the National Natural Science Foundation of China (Grant No. 11474213), and the Qing Lan Project of Jiangsu Province, China.

参考文献

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[65]	Chen Z Y, Pu J X 2007 J. Opt. A 9 1123
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[68]	Baykal Y, Eyyuboǧlu H T 2007 Appl. Opt. 46 5044
[69]	Korotkova O 2008 Opt. Commun. 281 2342
[70]	Baykal Y, Eyyuboǧlu H T, Cai Y J 2009 Appl. Opt. 48 1943
[71]	Gu Y L, Gbur G 2010 J. Opt. Soc. Am. A 27 2621
[72]	Wang F, Cai Y J, Eyyuboǧlu H T, Baykal Y 2012 Opt. Lett. 37 184
[73]	Cai Y J, Chen Y H, Wang F 2016 Opt. Lett. 41 4182
[74]	Chen R, Liu L, Zhu S J, Wu G F, Wang F, Cai Y J 2014 Opt. Express 22 1871
[75]	Cui Y, Wei C, Zhang Y T, Wang F, Cai Y J 2015 Opt. Commun. 354 353
[76]	Wang X Y, Yao M W, Qiu Z L, Yi X, Liu Z J 2015 Opt. Express 23 12508
[77]	Wang F, Li J, Martinez-Piedra G, Korotkova O 2017 Opt. Express 25 26055
[78]	Wang F, Korotkova O 2017 Opt. Express 25 5057
[79]	Tang M M, Zhao D M 2015 Opt. Express 23 32766
[80]	Wang M H, Yuan X H, Ma D L 2017 Appl. Opt. 56 2851
[81]	Song Z Z, Liu Z J, Zhou K Y, Sun Q G, Liu S T 2017 Chin. Phys. B 26 024201
[82]	Song Z Z, Liu Z J, Zhou K Y, Sun Q G, Liu S T 2016 Opt. Express 24 1804
[83]	Yu J Y, Chen Y H, Liu L, Liu X L, Cai Y J 2015 Opt. Express 23 13467
[84]	Xu H F, Zhang Z, Qu J, Huang W 2014 Opt. Express 22 22479
[85]	Korotkova O, Shchepakina E 2014 J. Opt. 16 045704
[86]	Mei Z R, Schchepakina E, Korotkova O 2013 Opt. Express 21 17512
[87]	Tong Z S, Korotkova O 2012 Opt. Lett. 37 3240
[88]	Lajunen H, Saastamoinen T 2011 Opt. Lett. 36 4104
[89]	Gu Y L, Gbur G 2013 Opt. Lett. 38 1395
[90]	Yuan Y S, Liu X L, Wang F, Chen Y H, Cai Y J, Qu J, Eyyuboğlu H T 2013 Opt. Commun. 305 57
[91]	Avramov-Zamurovic S, Nelson C, Guth S, Korotkova O 2016 Appl. Opt. 55 3442
[92]	Korotkova O, Avramov-Zamurovic S, Nelson C, MalekMadani R, Gu Y L, Gbur G 2014 Proc. SPIE 9224 92240M
[93]	Banakh V A, Krekov G M, Mironov V L, Khmelevtsov S S, Tsvik R S 1974 J. Opt. Soc. Am. 64 516
[94]	Banakh V A, Mironov V L 1977 Opt. Lett. 1 172
[95]	Yura H T, Hanson S G 1989 J. Opt. Soc. Am. A 6 564
[96]	Andrews L C, Phillips R L 2005 Laser Beam Propagation through Random Media (Bellingham, WA: SPIE) pp73, 74
[97]	Dan Y Q, Zhang B 2009 Opt. Lett. 34 563
[98]	Dan Y Q, Zhang B 2008 Opt. Express 16 15563
[99]	Wang F, Cai Y J 2010 Opt. Express 18 24661
[100]	Liu X L, Yu J Y, Cai Y J, Ponomarenko S 2016 Opt. Lett. 41 4182
[101]	Berman G P, Chumak A A 2006 Phys. Rev. A 71 013805
[102]	Liu X L, Shen Y, Liu L, Wang F, Cai Y J 2013 Opt. Lett. 38 5323
[103]	Wang F, Liu X L, Liu L, Yuan Y S, Cai Y J 2013 Appl. Phys. Lett. 103 091102
[104]	Recolons J, Dios F 2005 Proc. SPIE 5891 589107
[105]	Xiang J S 2012 Opt. Express 20 681
[106]	Wolf E Wolf E 1982 J. Opt. Soc. Am. 72 343
[107]	Wolf E 1982 J. Opt. Soc. Am. 72 343
[108]	Gori F, Santarsiero M 2015 Opt. Lett. 40 1587
[109]	Xiao X F, Voelz D 2006 Opt. Express 14 6986
[110]	Qian X M, Zhu W Y, Rao R Z 2009 Opt. Express 17 3782
[111]	Zhang Y L, Ma D L, Zhou Z Y, Yuan X H 2017 Appl. Opt. 56 2922
[112]	Basu S, Hyde M W, Xiao X F, Voelz D G, Korotkova O 2014 Opt. Express 22 31691
[113]	Hyde M W, Bose-Pillai S R, Wood R A 2017 Appl. Phys. Lett. 111 101106
[114]	Hyde M W, Bose-Pillai S, Xiao X, Voelz D G 2017 J. Opt. 19 025601

施引文献

[1]	Kolmogorov A N 1941 Dokl. Akad. Nauk SSSR 30 299
[2]	Chernov L A 1960 Wave Propagation in a Random Medium (New York: McGraw-Hill) pp15-180
[3]	Tatarskii V I 1961 Wave Propagation in a Turbulent Medium (New York: McGraw-Hill) pp8-237
[4]	Beran M 1970 J. Opt. Soc. Am. 60 518
[5]	Fante R L 1974 J. Opt. Soc. Am. 64 592
[6]	Brown W P 1971 J. Opt. Soc. Am. 61 1051
[7]	Lutomirski R F, Yura H T 1971 Appl. Opt. 10 1652
[8]	Yura H T 1972 Appl. Opt. 11 1399
[9]	Feizulin Z I, Kravtsov Y A 1967 Radiophys. Quantum Electron. 10 33
[10]	Kon A I, Tatarskii V I 1972 Radiophys. Quantum Electron. 15 1187
[11]	Leader J C 1978 J. Opt. Soc. Am. 68 175
[12]	Wang S C H, Plonus M A 1979 J. Opt. Soc. Am. 69 1297
[13]	Leader J C 1981 J. Opt. Soc. Am. 71 542
[14]	Wang S J, Baykal Y, Plonus M A 1983 J. Opt. Soc. Am. 73 831
[15]	Banach V A, Buldakov V M, Mironov V L 1983 Opt. Spectrosc. 54 1054
[16]	Banakh V A, Buldakov V M 1983 Opt. Spectrosc. 55 707
[17]	Wu J 1990 J. Mod. Opt. 37 671
[18]	Wu J, Boardman A D 1991 J. Mod. Opt. 38 1355
[19]	Gbur G, Wolf E 2002 J. Opt. Soc. Am. A 19 1592
[20]	Dogariu A, Amarande S 2003 Opt. Lett. 28 10
[21]	Shirai T, Dogariu A, Wolf E 2003 J. Opt. Soc. Am. A 20 1094
[22]	Ricklin J C, Davidson F M 2002 J. Opt. Soc. Am. A 19 1794
[23]	Ricklin J C, Davidson F M 2003 J. Opt. Soc. Am. A 20 856
[24]	Korotkova O, Andrews L C, Phillips R L 2004 Opt. Eng. 43 330
[25]	Young C Y, Gilchrest Y V, Macon B R 2002 Opt. Eng. 41 1097
[26]	Eyyuboǧlu H T, Baykal Y 2005 Appl. Opt. 44 976
[27]	Eyyuboǧlu H T 2005 Opt. Commun. 245 37
[28]	Cai Y J, He S L 2006 Opt. Lett. 31 568
[29]	Cai Y J, Lin Q, Eyyuboǧlu H T, Baykal Y 2008 Opt. Express 16 7665
[30]	Cil C Z, Eyyuboǧlu H T, Baykal Y, Korotkova O, Cai Y J 2010 Appl. Phys. B 98 195
[31]	Chu X X 2011 Opt. Lett. 36 2701
[32]	Wang T, Pu J X, Chen Z Y 2009 Opt. Commun. 282 1255
[33]	Cai Y J, Chen Y, Eyyuboǧlu H T, Baykal Y 2007 Appl. Phys. B 88 467
[34]	Zhou P, Wang X L, Ma Y X, Ma H T, Xu X J, Liu Z J 2011 Appl. Opt. 50 1234
[35]	Chen C Y, Yang H M, Kavehrad M, Zhou Z 2014 Opt. Lasers Eng. 52 106
[36]	Ji X L, Pu Z C 2010 Opt. Commun. 283 3884
[37]	Wang K L, Zhao C L 2014 Opt. Laser Technol. 57 44
[38]	Baykal Y 2014 Appl. Opt. 53 1284
[39]	Cheng K, Jiao L Y, Zhong X Q 2016 Opt. Commun. 367 112
[40]	Ma D T, Wei J B, Zhuang Z W 2004 Acta Opt. Sin. 24 1020 (in Chinese) [马东堂, 魏急波, 庄钊文 2004 光学学报 24 1020]
[41]	Yuan Y S, Cai Y J 2007 Opt. Commun. 27 1
[42]	Cai Y J, He S L 2006 Appl. Phys. Lett. 89 041117
[43]	Wang H Y, Li X Y 2008 Opt. Commun. 281 2337
[44]	Eyyuboğlu H T, Baykal Y, Cai Y J 2007 J. Opt. Soc. Am. A 24 2891
[45]	Wang D D, Wang F, Cai Y J, Chen J 2012 J. Mod. Opt. 59 372
[46]	Ji X L, Li X Q 2010 J. Opt. 12 035403
[47]	Wang F, Cai Y J, Eyyuboğlu H T, Baykal Y 2010 Prog. Electromagn. Res. 103 33
[48]	Aksenov V P, Kanev F Y, Pogutsa C E 2009 Proc. SPIE 7388 738807
[49]	Yang A L, Zhang E T, Ji X L, Lu B D 2008 Opt. Express 16 8366
[50]	Li J H, Yang A L, Lu B D 2008 J. Opt. Soc. Am. A 25 2670
[51]	Wang F, Cai Y J, Eyyuboğlu H T, Baykal Y 2011 Appl. Phys. B 103 461
[52]	Alavinejad M, Khatiri M, Ghafary B 2009 Opt. Commun. 282 3541
[53]	Alavinejad M, Ghafary B 2008 Opt. Lasers Eng. 46 357
[54]	Wang H Y, Li X Y 2010 Opt. Lasers Eng. 48 48
[55]	Yuan Y S, Cai Y, Qu J, Eyyuboğlu H T, Baykal Y, Korotkova O 2009 Opt. Express 17 17344
[56]	Salem M, Korotkova O, Dogariu A Wolf E 2004 Waves Random Media 14 513
[57]	Korotkova O, Salem M, Dogariu A, Wolf E 2005 Waves Random Complex Media 15 353
[58]	Korotkova O, Salem M, Wolf E 2004 Opt. Commun. 233 225
[59]	Du X Y, Zhao D M, Korotkova O 2007 Opt. Express 15 16909
[60]	Wu G H, Luo B, Yu S, Dang A H, Guo H 2011 J. Opt. 13 035706
[61]	Lu W, Liu L R, Sun J F, Yang Q G, Zhu Y J 2007 Opt. Commun. 27 1
[62]	Zhu Y, Zhao D M 2009 Appl. Phys. B 96 155
[63]	Cai Y J, Korotkova O, Eyyuboǧlu H T, Baykal Y 2008 Opt. Express 16 15834
[64]	Roychowdhury H, Ponomarenko S A, Wolf E 2005 J. Mod. Opt. 52 1611
[65]	Chen Z Y, Pu J X 2007 J. Opt. A 9 1123
[66]	Wang H, Liu D, Zhou Z 2010 Appl. Phys. B 101 361
[67]	Chen R, Dong Y M, Wang F, Cai Y J 2013 Appl. Phys. B 112 247
[68]	Baykal Y, Eyyuboǧlu H T 2007 Appl. Opt. 46 5044
[69]	Korotkova O 2008 Opt. Commun. 281 2342
[70]	Baykal Y, Eyyuboǧlu H T, Cai Y J 2009 Appl. Opt. 48 1943
[71]	Gu Y L, Gbur G 2010 J. Opt. Soc. Am. A 27 2621
[72]	Wang F, Cai Y J, Eyyuboǧlu H T, Baykal Y 2012 Opt. Lett. 37 184
[73]	Cai Y J, Chen Y H, Wang F 2016 Opt. Lett. 41 4182
[74]	Chen R, Liu L, Zhu S J, Wu G F, Wang F, Cai Y J 2014 Opt. Express 22 1871
[75]	Cui Y, Wei C, Zhang Y T, Wang F, Cai Y J 2015 Opt. Commun. 354 353
[76]	Wang X Y, Yao M W, Qiu Z L, Yi X, Liu Z J 2015 Opt. Express 23 12508
[77]	Wang F, Li J, Martinez-Piedra G, Korotkova O 2017 Opt. Express 25 26055
[78]	Wang F, Korotkova O 2017 Opt. Express 25 5057
[79]	Tang M M, Zhao D M 2015 Opt. Express 23 32766
[80]	Wang M H, Yuan X H, Ma D L 2017 Appl. Opt. 56 2851
[81]	Song Z Z, Liu Z J, Zhou K Y, Sun Q G, Liu S T 2017 Chin. Phys. B 26 024201
[82]	Song Z Z, Liu Z J, Zhou K Y, Sun Q G, Liu S T 2016 Opt. Express 24 1804
[83]	Yu J Y, Chen Y H, Liu L, Liu X L, Cai Y J 2015 Opt. Express 23 13467
[84]	Xu H F, Zhang Z, Qu J, Huang W 2014 Opt. Express 22 22479
[85]	Korotkova O, Shchepakina E 2014 J. Opt. 16 045704
[86]	Mei Z R, Schchepakina E, Korotkova O 2013 Opt. Express 21 17512
[87]	Tong Z S, Korotkova O 2012 Opt. Lett. 37 3240
[88]	Lajunen H, Saastamoinen T 2011 Opt. Lett. 36 4104
[89]	Gu Y L, Gbur G 2013 Opt. Lett. 38 1395
[90]	Yuan Y S, Liu X L, Wang F, Chen Y H, Cai Y J, Qu J, Eyyuboğlu H T 2013 Opt. Commun. 305 57
[91]	Avramov-Zamurovic S, Nelson C, Guth S, Korotkova O 2016 Appl. Opt. 55 3442
[92]	Korotkova O, Avramov-Zamurovic S, Nelson C, MalekMadani R, Gu Y L, Gbur G 2014 Proc. SPIE 9224 92240M
[93]	Banakh V A, Krekov G M, Mironov V L, Khmelevtsov S S, Tsvik R S 1974 J. Opt. Soc. Am. 64 516
[94]	Banakh V A, Mironov V L 1977 Opt. Lett. 1 172
[95]	Yura H T, Hanson S G 1989 J. Opt. Soc. Am. A 6 564
[96]	Andrews L C, Phillips R L 2005 Laser Beam Propagation through Random Media (Bellingham, WA: SPIE) pp73, 74
[97]	Dan Y Q, Zhang B 2009 Opt. Lett. 34 563
[98]	Dan Y Q, Zhang B 2008 Opt. Express 16 15563
[99]	Wang F, Cai Y J 2010 Opt. Express 18 24661
[100]	Liu X L, Yu J Y, Cai Y J, Ponomarenko S 2016 Opt. Lett. 41 4182
[101]	Berman G P, Chumak A A 2006 Phys. Rev. A 71 013805
[102]	Liu X L, Shen Y, Liu L, Wang F, Cai Y J 2013 Opt. Lett. 38 5323
[103]	Wang F, Liu X L, Liu L, Yuan Y S, Cai Y J 2013 Appl. Phys. Lett. 103 091102
[104]	Recolons J, Dios F 2005 Proc. SPIE 5891 589107
[105]	Xiang J S 2012 Opt. Express 20 681
[106]	Wolf E Wolf E 1982 J. Opt. Soc. Am. 72 343
[107]	Wolf E 1982 J. Opt. Soc. Am. 72 343
[108]	Gori F, Santarsiero M 2015 Opt. Lett. 40 1587
[109]	Xiao X F, Voelz D 2006 Opt. Express 14 6986
[110]	Qian X M, Zhu W Y, Rao R Z 2009 Opt. Express 17 3782
[111]	Zhang Y L, Ma D L, Zhou Z Y, Yuan X H 2017 Appl. Opt. 56 2922
[112]	Basu S, Hyde M W, Xiao X F, Voelz D G, Korotkova O 2014 Opt. Express 22 31691
[113]	Hyde M W, Bose-Pillai S R, Wood R A 2017 Appl. Phys. Lett. 111 101106
[114]	Hyde M W, Bose-Pillai S, Xiao X, Voelz D G 2017 J. Opt. 19 025601

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