部分相干光在大气湍流中斜程传输路径上的展宽与漂移
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摘要
基于Andrews和Philips经典漂移方差模型,利用部分相干高斯-谢尔光束在大气湍流中斜程传输的光束扩展半径,推导出考虑外尺度情况时部分相干高斯-谢尔光束斜程情况下的漂移方差表达式,应用随高度变化的大气结构常量模型进行数值计算,对比分析了部分相干光和完全相干光在大气湍流中的展宽和漂移特性.结果表明:相同的传输条件下,部分相干光比完全相干光的光束扩展更迅速,受湍流的影响也更小;初始半径越大,接收机高度越高,光束的扩展效应越小;随着传输距离的增大,光束的质心漂移方差随光束初始半径的增大而减小,不同相干性的光束漂移方差变化很小;完全相干光的光束漂移受波长的影响较小,而部分相干光的波长越长,漂移越明显.
Based on the the general expression of the beam wander variance modeled by Andrews and Philips,the expression of wander variance for partially coherent Gaussian-Schell model beam considering the outer scale was derived using beam width formula of partially coherent Gaussian-Schell model beam propagating in slanted atmospheric turbulence,combining the turbulence structure constant model varying with height,numerical calculations were conducted and the spreading and wander variance of partially coherent beam and fully coherent beam were comparatively analyzed.The results show that,compared to the fully coherent beam,the partially coherent beam spreads faster and is less affected by turbulence under the same propagation conditions,and the beam spreading effect becomes weaker as the initial beam radius becomes larger or the height of the receiver becomes higher.As the propagation distance increases,the beam wander variance decreases with the increase of initial beam radius,the beam wander variance caused by different coherence have little difference.The wander of fully coherent beam is less affected by the wavelength,while the longer the wavelength of the partially coherent beam,the more obviously the beam wanders.
Based on the the general expression of the beam wander variance modeled by Andrews and Philips,the expression of wander variance for partially coherent Gaussian-Schell model beam considering the outer scale was derived using beam width formula of partially coherent Gaussian-Schell model beam propagating in slanted atmospheric turbulence,combining the turbulence structure constant model varying with height,numerical calculations were conducted and the spreading and wander variance of partially coherent beam and fully coherent beam were comparatively analyzed.The results show that,compared to the fully coherent beam,the partially coherent beam spreads faster and is less affected by turbulence under the same propagation conditions,and the beam spreading effect becomes weaker as the initial beam radius becomes larger or the height of the receiver becomes higher.As the propagation distance increases,the beam wander variance decreases with the increase of initial beam radius,the beam wander variance caused by different coherence have little difference.The wander of fully coherent beam is less affected by the wavelength,while the longer the wavelength of the partially coherent beam,the more obviously the beam wanders.
引文
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[8]GAO Ming,LIU Yan-qing,WANG Fei,et al.Spread and wander characteristics of polarized and partially coherent laser beam propagated in turbulent atmosphere[J].Acta Photonica Sinica,2014,43(10):1001002.
[9]GAO Ming,LIU Yan-qing,WANG Fei,et al.Spread and wander characteristics of aolarized and partially coherent laser beam propagated in turbulent atmosphere[J].Acta Photonica Sinica,2014,43(10):1001002.高明,刘彦清,王菲,吕宏,.偏振部分相干激光波束在湍流大气中传输的扩展和漂移[J].光子学报,2004,43(10):1001002.
[10]WU G H,LUO B,YU S,et al.The propagation of electromagnetic Gaussian–Schell model beams through atmospheric turbulence in a slanted path[J].Journal of Optics A,2011,13(3):0357061-0357067.
[11]WEI Hong-yan,WU Zhen-sen.Study on the effect of laser beam propagation on the slant path through atmospheric turbulence[J].Journal of Electromagnetic Waves and Applications,2008,22(5-6):787-802.
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[13]FAN Cheng-yu.The effect of Gaussian-beam wave in slant propagation on atmospheric turbulence[J].Chinese Journal of Quantum Electronics,1999,16(6):519-525.范承玉.高斯束状波斜程传输的大气湍流效应[J].量子电子学报,1999,16(6):519-525.
[14]SASIELA J R,SHELTON J D.Transverse spectral filtering and Mellin transform techniques applied to the effect of outer scale on tilt and tilt aniso-planatism[J].Journal of the Optical Society of America A,1993,10(6):646-660.
[15]QIAN Xian-mei,ZHU Wen-yue,RAO Rui-zhong.Numerical simulation of turbulent effects of laser propagation along aground-space slant atmospheric path[J].Infrared and Laser Engineering,2008,37(5):787-792.钱仙妹,朱文越,饶瑞中,等.地空激光大气斜程传输湍流效应的数值模拟分析[J].红外与激光工程,2008,37(5):787-792.
[16]LI Ya-qing,WU Zhen-sen.Characteristics of a partially coherent Gaussian Schell-model beam propagating in slanted atmospheric turbulence[J].Chinese Physics B,2012,21(5):054203.
[17]ANDREWS L C,PHILIPS R L.Laser beam propagation through random media[M].SPIE Press,Bellingham,2005,201-250.
[18]BORAH D K,VOELZ D G.Spatially partially coherent beam parameter optimization for free space optical communications[J].Optics Express,2010,18(20):20746-20758.
[19]RICKLIN J C,DAVIDSON F M.Atmospheric turbulence effects on a partially coherent Gaussian beam:implication for free-space laser communication[J].Journal of the Optical Society of America A,2002,19(9):1794-1802.
[2]HUANG Yong-ping,ZENG An-ping.Propagation properties of hermite-gaussian beams in non-kolmogorov turbulence[J].Acta Photonica Sinica,2012,41(7):818-823.黄永平,曾安平.厄米-高斯光束在非Kolmogorov大气湍流中的传输性质[J].光子学报,2012,41(7):818-823.
[3]RAO Lian-zhou,QU Biao,CHEN Zi-yang,et al.The spectral changes of partially coherent light diffracted by a slit[J].Acta Photonica Sinica,2007,36(3):467-470.饶连周,渠彪,陈子阳,等.部分相干光经单缝衍射后的光谱变化[J].光子学报,2007,36(3):467-470.
[4]LIU Jun,WU Peng-li,GAO Ming.Wander and spreading of polarized and partially coherent laser propagation on slant path in turbulence atmospheric[J].Chinese Journal of Lasers,2012,10(39):199-204.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,2012,10(39):199-204.
[5]ITU-R.Propagation data required for the design of Earthspace systems operating between 20 THz and 375 THz[R].Geneva:ITU-R Recommendations,2005,1621.
[6]ZHANG Xiao-xin,DAN You-quan,ZHANG Bin.Spreading of partially coherent flat-topped beams propagating along a slant path in turbulent atmosphere[J].Acta Optica Sinica,2012,32(12):8-14.张晓欣,但有全,张彬.湍流大气中斜程传输部分相干光的光束扩展[J].光学学报,2012,32(12):8-14.
[7]DUAN Mei-ling,LI Jin-hong,WEI Ji-lin.Spreading of partially coherent Hermite-Gaussian beams in slant atmospheric turbulence[J].High Power Laser and Particle Beams,2013,25(9):2252-2256.段美玲,李晋红,魏计林,等.部分相干厄米高斯光束在斜程大气湍流中的扩展[J].强激光与粒子束,2013,25(9):2252-2256.
[8]GAO Ming,LIU Yan-qing,WANG Fei,et al.Spread and wander characteristics of polarized and partially coherent laser beam propagated in turbulent atmosphere[J].Acta Photonica Sinica,2014,43(10):1001002.
[9]GAO Ming,LIU Yan-qing,WANG Fei,et al.Spread and wander characteristics of aolarized and partially coherent laser beam propagated in turbulent atmosphere[J].Acta Photonica Sinica,2014,43(10):1001002.高明,刘彦清,王菲,吕宏,.偏振部分相干激光波束在湍流大气中传输的扩展和漂移[J].光子学报,2004,43(10):1001002.
[10]WU G H,LUO B,YU S,et al.The propagation of electromagnetic Gaussian–Schell model beams through atmospheric turbulence in a slanted path[J].Journal of Optics A,2011,13(3):0357061-0357067.
[11]WEI Hong-yan,WU Zhen-sen.Study on the effect of laser beam propagation on the slant path through atmospheric turbulence[J].Journal of Electromagnetic Waves and Applications,2008,22(5-6):787-802.
[12]WEI Hong-yan,WU Zhen-sen.Spreading and wander of laser beam propagation on slant path through atmospheric turbulence[J].Chinese Journal of Radio Science,2008,23(4):611-615.韦宏艳,吴振森.大气湍流中激光波束斜程传输的展宽、漂移特性[J].电波科学学报,2008,23(4):611-615.
[13]FAN Cheng-yu.The effect of Gaussian-beam wave in slant propagation on atmospheric turbulence[J].Chinese Journal of Quantum Electronics,1999,16(6):519-525.范承玉.高斯束状波斜程传输的大气湍流效应[J].量子电子学报,1999,16(6):519-525.
[14]SASIELA J R,SHELTON J D.Transverse spectral filtering and Mellin transform techniques applied to the effect of outer scale on tilt and tilt aniso-planatism[J].Journal of the Optical Society of America A,1993,10(6):646-660.
[15]QIAN Xian-mei,ZHU Wen-yue,RAO Rui-zhong.Numerical simulation of turbulent effects of laser propagation along aground-space slant atmospheric path[J].Infrared and Laser Engineering,2008,37(5):787-792.钱仙妹,朱文越,饶瑞中,等.地空激光大气斜程传输湍流效应的数值模拟分析[J].红外与激光工程,2008,37(5):787-792.
[16]LI Ya-qing,WU Zhen-sen.Characteristics of a partially coherent Gaussian Schell-model beam propagating in slanted atmospheric turbulence[J].Chinese Physics B,2012,21(5):054203.
[17]ANDREWS L C,PHILIPS R L.Laser beam propagation through random media[M].SPIE Press,Bellingham,2005,201-250.
[18]BORAH D K,VOELZ D G.Spatially partially coherent beam parameter optimization for free space optical communications[J].Optics Express,2010,18(20):20746-20758.
[19]RICKLIN J C,DAVIDSON F M.Atmospheric turbulence effects on a partially coherent Gaussian beam:implication for free-space laser communication[J].Journal of the Optical Society of America A,2002,19(9):1794-1802.