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利用涡旋光束作为空间光通信载波可以大大提高数据传输的容量, 因此, 研究涡旋光束在大气湍流中的传输具有重要意义. 涡旋光束在大气湍流中传输时会产生光束漂移, 进而影响通信系统的性能. 本文基于多相位屏和傅里叶变换的方法, 研究了带有彗差和球差的涡旋光束在大气湍流中传输时的光束漂移特性. 结果表明, 涡旋光束在大气湍流中传输时, 随着传输距离的增大, 彗差和球差对光束漂移特性的影响均明显增强. 传输天顶角及彗差系数越大, 涡旋光束的光束漂移量越大, 而球差系数的增大, 将会降低光束漂移量. 当天顶角和传输距离相同时, 涡旋光束的漂移量都会随着拓扑荷数的增大而减小. 相对而言, 彗差对涡旋光束的光束漂移特性影响比球差更大.Vortex beam has potential applications in free space optical communication because of its capacity of data transmission. Therefore, it is necessary to study the propagation characteristics of vortex beams in atmospheric turbulence. When the vortex beam propagates in the atmospheric turbulence the beam drift will occur, which has a great influence on the free space optical communication. In this paper, the beam drift of vortex beams with coma and spherical aberration transmitted in atmospheric turbulence is studied by using multi-phase screen and Fourier transform method. The numerical results show that as the transmission distance increases, the effects of both coma and spherical aberration on the beam drift are enhanced. The larger the transmission zenith angle and the coma coefficients, the greater the beam drift of the vortex beam is. However, the beam drift decreases with spherical aberration coefficient increasing. When the zenith angle and the transmission distance are both unchanged, the beam drift of the both vortex beams decrease with topological charges increasing. The influence of coma aberration on beam drift is bigger than that of spherical aberration.
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Keywords:
- coma /
- spherical aberration /
- beam drift /
- vortex
[1] Qiu S, Liu T, Li Z M, Wang C, Ren Y, Shao Q L, et al 2019 Appl. Opt 58 2650Google Scholar
[2] 郑晓桐, 郭立新, 程明建, 李江挺 2018 物理学报 67 214206Google Scholar
Zheng X T, Guo L X, Cheng M J, Li J T 2018 Acta Phys. Sin. 67 214206Google Scholar
[3] Paterson C 2005 Phys. Rev. Lett. 94 153901Google Scholar
[4] Wang J, Yang J Y, Fazal I M, Ahmed N, Yan Y, Ren Y X, et al 2012 Nat. Photonics 6 488Google Scholar
[5] Juhasz T, Loesel F H, Kurtz R M, Horvath C, Bille J F, Mourou G 1999 IEEE J. Sel. Top. Quantum Electron. 5 902Google Scholar
[6] Qian Y X, Shi Y L, Jin W M, Hu F R, Ren Z J 2019 Opt. Express 27 18085Google Scholar
[7] Allen L, Beijersbergen M W, Spreeuw J C, Woerdman J P 1992 Phys. Rev. A 45 8185Google Scholar
[8] He H, Friese M E, Heckenberg N R, Rubinsztein-Dunlop H 1995 Phys. Rev. Lett. 75 826Google Scholar
[9] Auguita J A, Neifeld M A, Vasic B V 2008 Appl. Opt. 47 2414Google Scholar
[10] Wu J Z, Li H, Li Y J 2007 Opt. Eng. 46 019701Google Scholar
[11] 葛筱璐, 王本义, 国承山 2016 光学学报 36 0301002
Ge X L, Wang B Y, Guo C S 2016 Acta Opt. Sin. 36 0301002
[12] Ge X L, Wang B Y, Guo C S 2015 J. Opt. Soc. Am. A 32 837
[13] Li J, Chen X, Duffie S M, Najjar M A, Rafsanjani H, Korotkova O 2019 Opt. Commun. 446 178Google Scholar
[14] Sandalidis H G 2011 Appl. Opt. 50 952Google Scholar
[15] 柯熙政, 邓莉君 2016 无线光通信中的部分相干光传输理论 (北京:科学出版社) 第14页
Ke X Z, Deng L J 2016 The Theory of Partially Coherent Optical Transmission in Wireless Optical Communication (Beijing: Science Press) p14 (in Chinese)
[16] Aksenov V P, Pogutsa C E 2012 Appl. Opt 51 7262Google Scholar
[17] Huang Y, Yuan Y S, Liu X L, Zeng J, Wang F, Yu J Y, et al 2018 Appl. Sci 8 2476Google Scholar
[18] Wu G H, Dai W, Tang H, Guo H 2015 Opt. Commun. 336 55Google Scholar
[19] Xu Y G, Tian H H, Dan Y Q, Feng H, Wang S J 2017 J. Mod. Opt. 64 844Google Scholar
[20] 狄颢萍, 张淇博, 周木春, 辛煜, 赵琦 2018 中国激光 45 0305001
Di H P, Zhang Q B, Zhou M C, Xin Y, Zhao Q 2018 Chin. J. Laser 45 0305001
[21] 程振, 楚兴春, 赵尚弘, 邓博于, 张曦文 2015 中国激光 42 1213002
Cheng Z, Chu X C, Zhao S H, Deng B Y, Zhang X W 2015 Chin. J. Laser 42 1213002
[22] Dabby F W, Whinnery J R 1968 Appl. Phys. Lett. 13 284Google Scholar
[23] Born M, Wolf E 1997 Principles of Optics (6th ed.) (Cambridge: Cambridge University Press)
[24] Pu J X, Zhang H H 1998 Opt. Commun. 151 331Google Scholar
[25] Chu X X, Zhou G Q 2007 Opt. Express 15 7697Google Scholar
[26] 钱仙妹, 朱文越, 饶瑞中 2009 物理学报 58 6633Google Scholar
Qian X M, Zhu W Y, Rao R Z 2009 Acta. Phys. Sin. 58 6633Google Scholar
[27] Fleck J A, Morris J R, Feit M D 1976 Appl. Phys. 10 129
[28] Ke X Z, Lei S C 2016 Appl. Opt. 55 3897Google Scholar
[29] 李大海, 曹益平, 张启灿, 王琼华 2013 现代工程光学 (北京: 科学出版社) 第217页
Li D H, Cao Y P, Zhang Q C, Wang Q H 2013 XianDai GongCheng GuangXue (Beijing: Science Press) p217 (in Chinese)
[30] 陈鸣, 高太长, 刘磊, 胡帅, 曾庆伟, 李刚, 等 2017 强激光与粒子束 29 091008
Chen M, Gao T C, Liu L, Hu S, Zeng Q W, Li G, et al 2017 High Power Laser and Particle Beams 29 091008
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图 4 拓扑荷数不同时, 无像差、带有彗差和带有球差的涡旋光束在大气湍流中传输时相位变化. 传输距离z = 3639 m (a1)−(a3)无像差; (b1)−(b3)带有彗差kC3 = 0.5; (c1)−(c3)带有球差kC4 = 0.5. 相位对应黑色(–π)-白色(
${\text{π}}$ )Fig. 4. The phase change of the vortex beam with no aberration, with coma and with spherical aberration propagated in atmospheric turbulence when the topological charges are different. Distance z = 3639 m: (a1)−(a3) with no aberration; (b1)−(b3) with coma kC3 = 0.5; (c1)−(c3) with spherical aberration kC4 = 0.5. Phase responding to black (–π)-white (π).
图 7 分别带有不同彗差和球差系数的涡旋光束在湍流中传输时相位分布. 传输距离z = 3639 m, 拓扑核数n = 1 (a1)−(a3)带有彗差; (b1)−(b3)带有球差. 相位对应黑色(–π)-白色π)
Fig. 7. Phase change of vortex beams with different coma and spherical aberration propagated through atmospheric turbulence. Distance z = 3639 m, topological charge n = 1: (a1)−(a3) with coma; (b1)−(b3) with spherical aberration. Phase responding to black (–π)-white (π).
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[1] Qiu S, Liu T, Li Z M, Wang C, Ren Y, Shao Q L, et al 2019 Appl. Opt 58 2650Google Scholar
[2] 郑晓桐, 郭立新, 程明建, 李江挺 2018 物理学报 67 214206Google Scholar
Zheng X T, Guo L X, Cheng M J, Li J T 2018 Acta Phys. Sin. 67 214206Google Scholar
[3] Paterson C 2005 Phys. Rev. Lett. 94 153901Google Scholar
[4] Wang J, Yang J Y, Fazal I M, Ahmed N, Yan Y, Ren Y X, et al 2012 Nat. Photonics 6 488Google Scholar
[5] Juhasz T, Loesel F H, Kurtz R M, Horvath C, Bille J F, Mourou G 1999 IEEE J. Sel. Top. Quantum Electron. 5 902Google Scholar
[6] Qian Y X, Shi Y L, Jin W M, Hu F R, Ren Z J 2019 Opt. Express 27 18085Google Scholar
[7] Allen L, Beijersbergen M W, Spreeuw J C, Woerdman J P 1992 Phys. Rev. A 45 8185Google Scholar
[8] He H, Friese M E, Heckenberg N R, Rubinsztein-Dunlop H 1995 Phys. Rev. Lett. 75 826Google Scholar
[9] Auguita J A, Neifeld M A, Vasic B V 2008 Appl. Opt. 47 2414Google Scholar
[10] Wu J Z, Li H, Li Y J 2007 Opt. Eng. 46 019701Google Scholar
[11] 葛筱璐, 王本义, 国承山 2016 光学学报 36 0301002
Ge X L, Wang B Y, Guo C S 2016 Acta Opt. Sin. 36 0301002
[12] Ge X L, Wang B Y, Guo C S 2015 J. Opt. Soc. Am. A 32 837
[13] Li J, Chen X, Duffie S M, Najjar M A, Rafsanjani H, Korotkova O 2019 Opt. Commun. 446 178Google Scholar
[14] Sandalidis H G 2011 Appl. Opt. 50 952Google Scholar
[15] 柯熙政, 邓莉君 2016 无线光通信中的部分相干光传输理论 (北京:科学出版社) 第14页
Ke X Z, Deng L J 2016 The Theory of Partially Coherent Optical Transmission in Wireless Optical Communication (Beijing: Science Press) p14 (in Chinese)
[16] Aksenov V P, Pogutsa C E 2012 Appl. Opt 51 7262Google Scholar
[17] Huang Y, Yuan Y S, Liu X L, Zeng J, Wang F, Yu J Y, et al 2018 Appl. Sci 8 2476Google Scholar
[18] Wu G H, Dai W, Tang H, Guo H 2015 Opt. Commun. 336 55Google Scholar
[19] Xu Y G, Tian H H, Dan Y Q, Feng H, Wang S J 2017 J. Mod. Opt. 64 844Google Scholar
[20] 狄颢萍, 张淇博, 周木春, 辛煜, 赵琦 2018 中国激光 45 0305001
Di H P, Zhang Q B, Zhou M C, Xin Y, Zhao Q 2018 Chin. J. Laser 45 0305001
[21] 程振, 楚兴春, 赵尚弘, 邓博于, 张曦文 2015 中国激光 42 1213002
Cheng Z, Chu X C, Zhao S H, Deng B Y, Zhang X W 2015 Chin. J. Laser 42 1213002
[22] Dabby F W, Whinnery J R 1968 Appl. Phys. Lett. 13 284Google Scholar
[23] Born M, Wolf E 1997 Principles of Optics (6th ed.) (Cambridge: Cambridge University Press)
[24] Pu J X, Zhang H H 1998 Opt. Commun. 151 331Google Scholar
[25] Chu X X, Zhou G Q 2007 Opt. Express 15 7697Google Scholar
[26] 钱仙妹, 朱文越, 饶瑞中 2009 物理学报 58 6633Google Scholar
Qian X M, Zhu W Y, Rao R Z 2009 Acta. Phys. Sin. 58 6633Google Scholar
[27] Fleck J A, Morris J R, Feit M D 1976 Appl. Phys. 10 129
[28] Ke X Z, Lei S C 2016 Appl. Opt. 55 3897Google Scholar
[29] 李大海, 曹益平, 张启灿, 王琼华 2013 现代工程光学 (北京: 科学出版社) 第217页
Li D H, Cao Y P, Zhang Q C, Wang Q H 2013 XianDai GongCheng GuangXue (Beijing: Science Press) p217 (in Chinese)
[30] 陈鸣, 高太长, 刘磊, 胡帅, 曾庆伟, 李刚, 等 2017 强激光与粒子束 29 091008
Chen M, Gao T C, Liu L, Hu S, Zeng Q W, Li G, et al 2017 High Power Laser and Particle Beams 29 091008
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