部分相干双涡旋光束在海洋湍流中的传输
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摘要
基于广义惠更斯―菲涅耳原理,推导了部分相干双涡旋光束在海洋湍流中传输时光强分布的理论表达式,详细研究了部分相干双涡旋光束在海洋湍流中的传输特性。研究结果表明,在传输距离较小的情况下,双环结构扩展随着外环拓扑荷数的增加而增大,传输一定距离以后光束转化为空心分布,当传输距离足够长后,光强分布转化为类高斯分布。研究还发现,双涡旋光束在海洋湍流中的强度分布也受到海洋湍流相关参数的影响,并且随着海洋湍流的相关参数的改变,光束转化为类高斯分布所需要的传输距离也随着改变。另外,在传输距离较短的情况下,光源的相干性越好,光束的双环结构越明显,并且中间的"暗核"越明显。所得结果对于部分相干双涡旋光束应用于水下湍流环境有着重要的意义。
On the basis of the extended Huygens-Fresnel principle,the formula for the partially coherent double-vortex beam in the oceanic turbulence has been derived.Then the intensity of beam propagation in the oceanic turbulence has been investigated in detail.It is shown that the spreading of the beam increases with increasing the charges of the outer ring,and the intensity distributions are double-ring structure near the source plane.As the propagation distance increases,the intensity distribution will spread and change into the single ring.Then,the single ring gradually transforms into a Gaussian-like distribution when the propagation distance is long enough.It is also found that the intensity distributions of the double-vortex beams in the ocean turbulence are influenced by the oceanic turbulence correlation parameters.As the oceanic turbulence correlation parameters change,the propagation distance required to transform beam into a Gaussian-like distribution also changes.In addition,in the case of short propagation distance,the better the coherence of the light source is,the more obvious the double-ring structure of the beam is.The obtained results are of great significance for the application of partially coherent double-vortex beams in the optical communication and underwater exploration in the ocean.
On the basis of the extended Huygens-Fresnel principle,the formula for the partially coherent double-vortex beam in the oceanic turbulence has been derived.Then the intensity of beam propagation in the oceanic turbulence has been investigated in detail.It is shown that the spreading of the beam increases with increasing the charges of the outer ring,and the intensity distributions are double-ring structure near the source plane.As the propagation distance increases,the intensity distribution will spread and change into the single ring.Then,the single ring gradually transforms into a Gaussian-like distribution when the propagation distance is long enough.It is also found that the intensity distributions of the double-vortex beams in the ocean turbulence are influenced by the oceanic turbulence correlation parameters.As the oceanic turbulence correlation parameters change,the propagation distance required to transform beam into a Gaussian-like distribution also changes.In addition,in the case of short propagation distance,the better the coherence of the light source is,the more obvious the double-ring structure of the beam is.The obtained results are of great significance for the application of partially coherent double-vortex beams in the optical communication and underwater exploration in the ocean.
引文
[1] ZHU Wei-ting,TANG Miao-miao,ZHAO Dao-mu.Propag-ation of multi-Gaussian Schell-model beams in oceanic Turbulence[J].Optik,2016,127(8):3775-3778.
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[10] YANG Rong-qing.Degree of coherence of partially coherent vortex beam propagationg in turbulent atmosphere[J].Journal of Longyan University,2008,26(6):28-31.杨蓉青.部分相干涡旋光束在湍流大气中的相干性[J].龙岩学院学报,2008,26(6):28-31.
[11] WANG Tao,PU Ji-xiong,CHEN Zi-yang.Propagation of partially coherent vortex beams in a turbulent atmosphere[J].Opt.Engin.,2004,229:85-91.
[12] WANG Tao,PU Ji-xiong,CHEN Zi-yang.Generation and propagation of partially coherent vortex beams[J].Optoelectronics Letters,2009,5(1):77-80.
[13] DING Pan-feng,CHEN Zi-yang,PU Ji-xiong.Propagation properties of off axial partially coherent vortex beam[J].Optical Communication,2015,357(15):172-176.
[14] LI Man-man, YAN Shao-hui, LIANG Yan-sheng, et al.Transverse spinning of particle in highly focused vector vortex beams[J].Physical Review A,2017,95:053802.
[15] LI Xiong-feng,LIANG Yi-yong,ZHAN Shi-chao,et al.Optical vortex beam direct-writing photolithography,Applied Physics Express,2018,11(3):036503.
[16] FANG Gui-juan,ZHU Wen-yue,CHEN Xue-qiong,et al.Propagation of paritally coherent double-vortex beams in turbulent atmosphere[J].Opt.Laser Technol.,2012,44(6):1780-1785.
[17] FANG Gui-juan,TIAN Bo,PU Ji-xiong.Focusing properties of the double-vortex beams through a high numerical-aperture objective[J].Optics & Laser Technology,2012,44(2):441-445.
[18] FANG Gui-juan,SUN Shun-hong,PU Ji-xiong.Experimental study on fractional double-vortex beams[J].Acta Physica Sinica,2012,61(6):64-66.方桂娟,孙顺红,蒲继雄.分数阶双涡旋光束的实验研究[J].物理学报,2012,61(6):64-66.
[19] FANG Gui-juan,RAO Lian-zhou,LIN Hui-chuan,et al.The propagation of partially coherent double-vortex beams in turbulent atmosphere[J].Journal of Sanming University,2012,29(6):11-16.方桂娟,饶连周,林惠川等.部分相干双涡旋光束在湍流介质中的传输[J].三明学院学报,2012,29(6):11-16.
[20] CHEN Ya-qun,SUN Kui,CHEN Jian-fei,et al.Analysis of the evolution of double-vortex beam spot with the transmission distance[J].Study on Optical Communications,2016,12(6):23-25.陈亚群,孙奎,陈建飞,等.双涡旋光斑随传输距离演变实验分析[J].光通信研究,2016,12(6):23-25.
[2] WU Yu-qian,ZHANG Yi-xin,HU Zheng-da.Effects of oceanic turbulence on the propagation of four-petal Gaussian model beams[J].Optik,2017,129:93-99.
[3] ZHOU Zhao-tao,GUO Meng-wen,ZHAO Dao-mu.Propagation of specular and anti-specular Gaussian Schell-model beams in oceanic turbulence[J].Optics Communications,2017,15(383):287-293.
[4] LIU Yong-xin,CHEN Zi-yang,PU Ji-xiong.Propagation of stochastic electromagnetic high-order Bessel-Gaussian beams in the oceanic turbulence[J].Acta Physica Sinica,2017,54:124205.刘永欣,陈子阳,蒲继雄.随机电磁高阶Bessel-Gaussian光束在海洋湍流中的传输特性[J],物理学报,2017,54:124205.
[5] ZHANG Yan-hong,LIU Yong-xin,CHEN Zi-yang.Light intensity characteristics of propagation partially coherent beams with spherical aberration in oceanic turbulence[J].Laser & Optoelectronics Progress,2017,54:110103.张艳红,刘永欣,陈子阳.带球差的部分相干光束在海洋湍流中传输的光强特性[J].激光与光电子学进展,2017,54:110103.
[6] Nikishov V V,Nikishov V I,Stabinis A.Spectrum of turbulent fluctuations of the sea-water refraction index[J].Fluid Mechanics Research,2008,47(3):036002-5.
[7] ZHOU Ying, ZHAO Dao-mu. Changes in the statistical properties of stochastic anisotropic electromagnetic beams propagating through oceanic turbulence[J].Applied Physics B,2012,109(2):289-294.
[8] YANG Ting,JI Xiao-ling,LI Xiao-qing.Propagation characteristics of partially coherent decentred annular beams propagating through oceanic turbulence[J].Acta Physica Sinica,2015,64(20):204206.杨婷,季小玲,李晓庆.部分相干环状偏心光束通过海洋湍流的传输特性[J].物理学报,2015,64(20):204206.
[9] WANG Tao,PU Ji-xiong,RAO Lian-zhou.Propagation of partially coherent vortex beams in the turbulent atmosphere[J].Optical Technique,2007,33(z1):4-6.王涛,蒲继雄,饶连周.部分相干涡旋光束在湍流大气中的传输特性[J].光学技术,2007,33(z1):4-6.
[10] YANG Rong-qing.Degree of coherence of partially coherent vortex beam propagationg in turbulent atmosphere[J].Journal of Longyan University,2008,26(6):28-31.杨蓉青.部分相干涡旋光束在湍流大气中的相干性[J].龙岩学院学报,2008,26(6):28-31.
[11] WANG Tao,PU Ji-xiong,CHEN Zi-yang.Propagation of partially coherent vortex beams in a turbulent atmosphere[J].Opt.Engin.,2004,229:85-91.
[12] WANG Tao,PU Ji-xiong,CHEN Zi-yang.Generation and propagation of partially coherent vortex beams[J].Optoelectronics Letters,2009,5(1):77-80.
[13] DING Pan-feng,CHEN Zi-yang,PU Ji-xiong.Propagation properties of off axial partially coherent vortex beam[J].Optical Communication,2015,357(15):172-176.
[14] LI Man-man, YAN Shao-hui, LIANG Yan-sheng, et al.Transverse spinning of particle in highly focused vector vortex beams[J].Physical Review A,2017,95:053802.
[15] LI Xiong-feng,LIANG Yi-yong,ZHAN Shi-chao,et al.Optical vortex beam direct-writing photolithography,Applied Physics Express,2018,11(3):036503.
[16] FANG Gui-juan,ZHU Wen-yue,CHEN Xue-qiong,et al.Propagation of paritally coherent double-vortex beams in turbulent atmosphere[J].Opt.Laser Technol.,2012,44(6):1780-1785.
[17] FANG Gui-juan,TIAN Bo,PU Ji-xiong.Focusing properties of the double-vortex beams through a high numerical-aperture objective[J].Optics & Laser Technology,2012,44(2):441-445.
[18] FANG Gui-juan,SUN Shun-hong,PU Ji-xiong.Experimental study on fractional double-vortex beams[J].Acta Physica Sinica,2012,61(6):64-66.方桂娟,孙顺红,蒲继雄.分数阶双涡旋光束的实验研究[J].物理学报,2012,61(6):64-66.
[19] FANG Gui-juan,RAO Lian-zhou,LIN Hui-chuan,et al.The propagation of partially coherent double-vortex beams in turbulent atmosphere[J].Journal of Sanming University,2012,29(6):11-16.方桂娟,饶连周,林惠川等.部分相干双涡旋光束在湍流介质中的传输[J].三明学院学报,2012,29(6):11-16.
[20] CHEN Ya-qun,SUN Kui,CHEN Jian-fei,et al.Analysis of the evolution of double-vortex beam spot with the transmission distance[J].Study on Optical Communications,2016,12(6):23-25.陈亚群,孙奎,陈建飞,等.双涡旋光斑随传输距离演变实验分析[J].光通信研究,2016,12(6):23-25.
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