截断光束在非Kolmogorov湍流中的扩展区域
|
摘要
为研究截断光束在非Kolmogorov湍流中的扩展区域,求解了湍流距离及瑞利区间解析式,将传输路径划分为三个区域,并对三段区域进行相关数值分析。研究结果表明,第一区域和第二区域长度随相干参数、截断参数的增大而缩短,第三区域起点随相干参数、截断参数的增大而减小;相干参数、截断参数越小,忽略湍流在瑞利区间内对光束扩展影响的可能性则更大;三个区域内,湍流距离随广义指数的变化依次加剧。对主要结果进行了相应的物理解释。
To study the regions of spreading of truncated beams propagating through non-Kolmogorov turbulence,the expressions for turbulence distance and Rayleigh range are derived,the transport path is divided into three regions,and the relevant numerical analysis of the three regions is given.Results show that the lengths of the first region and the second region decreases with increase of coherence and truncation parameter,and the starting point of the third region reduces with increase of coherence and truncation parameter.The smaller coherence and truncation parameter are,the more likely it is to ignore the effect of turbulence on the beam propagation in Rayleigh range.In the three regions,the turbulent distance increases with the change of the generalized exponential.The corresponding physical explanations are given for the main results.
To study the regions of spreading of truncated beams propagating through non-Kolmogorov turbulence,the expressions for turbulence distance and Rayleigh range are derived,the transport path is divided into three regions,and the relevant numerical analysis of the three regions is given.Results show that the lengths of the first region and the second region decreases with increase of coherence and truncation parameter,and the starting point of the third region reduces with increase of coherence and truncation parameter.The smaller coherence and truncation parameter are,the more likely it is to ignore the effect of turbulence on the beam propagation in Rayleigh range.In the three regions,the turbulent distance increases with the change of the generalized exponential.The corresponding physical explanations are given for the main results.
引文
[1]Toselli I,Andrews L C,Phillips R L,et al.Free space optical system performance for laser beam propagation through non Kolmogorov turbulence for uplink and downlink paths[J].Proceedings of SPIE,2007,6708:670803.
[2]Xu H F,Cui Z F,Qu J.Propagation of elegant Laguerre-Gaussian beam in non-Kolmogorov turbulence[J].Optics Express,2011,19(22):21163-21173.
[3]Tian H H,Xu Y G,Yang T,et al.Beam wander of partially coherent anomalous elliptical hollow Gaussian beam propagating through non-Kolmogorov turbulence[J].Laser&Optoelectronics Progress,2017,54(5):050103.田欢欢,徐勇根,杨婷,等.部分相干反常椭圆空心高斯光束在非Kolmogorov湍流中的光束漂移[J].激光与光电子学进展,2017,54(5):050103.
[4]He X M,LüB D.Propagation properties of partially coherent Hermite:Gaussian beams through nonKolmogorov turbulence[J].Chinese Physics B,2011,20(9):094210.
[5]Tang M M,Zhao D M,Li X Z,et al.Propagation of radially polarized multi-cosine Gaussian Schell-model beams in non-Kolmogorov turbulence[J].Optics Communications,2018,407:392-397.
[6]Li Y Q,Wang L G,Wu Z S,et al.Degree of polarization for partially coherent flat-topped beams in slant turbulent atmosphere[J].Chinese Journal of Lasers,2016,43(11):1105001.李亚清,王利国,吴振森,等.斜程湍流大气中部分相干平顶光束的偏振度研究[J].中国激光,2016,43(11):1105001.
[7]Ke X Z,Wang C Z.Intensity distribution of partially coherent off-axis vortex beam propagating in atmospheric turbulence[J].Acta Optica Sinica,2017,37(1):0101005.柯熙政,王超珍.部分相干离轴涡旋光束在大气湍流中的光强分布[J].光学学报,2017,37(1):0101005.
[8]Wu G H,Guo H,Yu S,et al.Spreading and direction of Gaussian-Schell model beam through a non-Kolmogorov turbulence[J].Optics Letters,2010,35(5):715-717.
[9]Chen X W,Ji X L.Influence of turbulence on the spreading of annular beams[J].Acta Physica Sinica,2009,58(4):2435-2443.陈晓文,季小玲.湍流对环状光束扩展的影响[J].物理学报,2009,58(4):2435-2443.
[10]Liu F,Ji X L.Turbulence distance of partially coherentcosh-Gaussian array beams[J].Chinese Journal of Lasers,2011,38(7):0713001.刘飞,季小玲.部分相干双曲余弦高斯阵列光束的湍流距离[J].中国激光,2011,38(7):0713001.
[11]Ke X Z,Zhang H J.Study on broadening characteristics of partially coherent Gaussian pulse in atmospheric turbulence[J].Laser&Optoelectronics Progress,2016,53(8):080603.柯熙政,张焕杰.部分相干高斯脉冲在大气湍流中展宽特性的研究[J].激光与光电子学进展,2016,53(8):080603.
[12]Tang M Y,Li X Q,Chen X W,et al.Influence of non-Kolmogorov turbulence on the Rayleigh range of partially coherent annular beams[J].Laser&Optoelectronics Progress,2015,52(2):020101.汤明玥,李晓庆,陈晓文,等.非Kolmogorov湍流对部分相干环状光束瑞利区间的影响[J].激光与光电子学进展,2015,52(2):020101.
[13]Tang M Y,Li B Z,Wang Y F,et al.Influence of non-Kolmogorov turbulence on the Rayleigh range and turbulence distance of Gaussian-Schell beams[J].Chinese Journal of Lasers,2014,41(10):1013002.汤明玥,李宾中,王宇峰,等.非Kolmogorov湍流对高斯-谢尔光束的瑞利区间和湍流距离的影响[J].中国激光,2014,41(10):1013002.
[14]Chen X W,Li X Q,Li B Z,et al.Turbulence distance of partially coherent flat-topped beams in non-Kolmogorov trubulence[J].High Power Lasers and Particle Beams,2015,27(1):011004.陈晓文,李晓庆,李宾中,等.部分相干平顶光束在非Kolmogorov湍流中的湍流距离[J].强激光与粒子束,2015,27(1):011004.
[15]Ji X L,Pu Z C,Ji G M,et al.Regions of spreading of partially coherent beams propagating through nonKolmogorov turbulence[J].Optics Communications,2014,322:109-113.
[16]Chen X W,Li B Z,Tang M Y.Directionality of apertured partially coherent beams propagating through atmospheric turbulence[J].Chinese Journal of Lasers,2012,39(9):0913002.陈晓文,李宾中,汤明玥.受光阑限制的部分相干光通过湍流大气传输的方向性[J].中国激光,2012,39(9):0913002.
[17]Lee I E,Ghassemlooy Z,Ng W P,et al.Effects of aperture averaging and beam width on a partially coherent Gaussian beam over free-space optical links with turbulence and pointing errors[J].Applied Optics,2016,55(1):1-9.
[18]Chu X,Ni Y Z,Zhou G Q.Propagation analysis of flattened circular Gaussian beams with a circular aperture inturbulent atmosphere[J].Optics Communications,2007,274(2):274-280.
[2]Xu H F,Cui Z F,Qu J.Propagation of elegant Laguerre-Gaussian beam in non-Kolmogorov turbulence[J].Optics Express,2011,19(22):21163-21173.
[3]Tian H H,Xu Y G,Yang T,et al.Beam wander of partially coherent anomalous elliptical hollow Gaussian beam propagating through non-Kolmogorov turbulence[J].Laser&Optoelectronics Progress,2017,54(5):050103.田欢欢,徐勇根,杨婷,等.部分相干反常椭圆空心高斯光束在非Kolmogorov湍流中的光束漂移[J].激光与光电子学进展,2017,54(5):050103.
[4]He X M,LüB D.Propagation properties of partially coherent Hermite:Gaussian beams through nonKolmogorov turbulence[J].Chinese Physics B,2011,20(9):094210.
[5]Tang M M,Zhao D M,Li X Z,et al.Propagation of radially polarized multi-cosine Gaussian Schell-model beams in non-Kolmogorov turbulence[J].Optics Communications,2018,407:392-397.
[6]Li Y Q,Wang L G,Wu Z S,et al.Degree of polarization for partially coherent flat-topped beams in slant turbulent atmosphere[J].Chinese Journal of Lasers,2016,43(11):1105001.李亚清,王利国,吴振森,等.斜程湍流大气中部分相干平顶光束的偏振度研究[J].中国激光,2016,43(11):1105001.
[7]Ke X Z,Wang C Z.Intensity distribution of partially coherent off-axis vortex beam propagating in atmospheric turbulence[J].Acta Optica Sinica,2017,37(1):0101005.柯熙政,王超珍.部分相干离轴涡旋光束在大气湍流中的光强分布[J].光学学报,2017,37(1):0101005.
[8]Wu G H,Guo H,Yu S,et al.Spreading and direction of Gaussian-Schell model beam through a non-Kolmogorov turbulence[J].Optics Letters,2010,35(5):715-717.
[9]Chen X W,Ji X L.Influence of turbulence on the spreading of annular beams[J].Acta Physica Sinica,2009,58(4):2435-2443.陈晓文,季小玲.湍流对环状光束扩展的影响[J].物理学报,2009,58(4):2435-2443.
[10]Liu F,Ji X L.Turbulence distance of partially coherentcosh-Gaussian array beams[J].Chinese Journal of Lasers,2011,38(7):0713001.刘飞,季小玲.部分相干双曲余弦高斯阵列光束的湍流距离[J].中国激光,2011,38(7):0713001.
[11]Ke X Z,Zhang H J.Study on broadening characteristics of partially coherent Gaussian pulse in atmospheric turbulence[J].Laser&Optoelectronics Progress,2016,53(8):080603.柯熙政,张焕杰.部分相干高斯脉冲在大气湍流中展宽特性的研究[J].激光与光电子学进展,2016,53(8):080603.
[12]Tang M Y,Li X Q,Chen X W,et al.Influence of non-Kolmogorov turbulence on the Rayleigh range of partially coherent annular beams[J].Laser&Optoelectronics Progress,2015,52(2):020101.汤明玥,李晓庆,陈晓文,等.非Kolmogorov湍流对部分相干环状光束瑞利区间的影响[J].激光与光电子学进展,2015,52(2):020101.
[13]Tang M Y,Li B Z,Wang Y F,et al.Influence of non-Kolmogorov turbulence on the Rayleigh range and turbulence distance of Gaussian-Schell beams[J].Chinese Journal of Lasers,2014,41(10):1013002.汤明玥,李宾中,王宇峰,等.非Kolmogorov湍流对高斯-谢尔光束的瑞利区间和湍流距离的影响[J].中国激光,2014,41(10):1013002.
[14]Chen X W,Li X Q,Li B Z,et al.Turbulence distance of partially coherent flat-topped beams in non-Kolmogorov trubulence[J].High Power Lasers and Particle Beams,2015,27(1):011004.陈晓文,李晓庆,李宾中,等.部分相干平顶光束在非Kolmogorov湍流中的湍流距离[J].强激光与粒子束,2015,27(1):011004.
[15]Ji X L,Pu Z C,Ji G M,et al.Regions of spreading of partially coherent beams propagating through nonKolmogorov turbulence[J].Optics Communications,2014,322:109-113.
[16]Chen X W,Li B Z,Tang M Y.Directionality of apertured partially coherent beams propagating through atmospheric turbulence[J].Chinese Journal of Lasers,2012,39(9):0913002.陈晓文,李宾中,汤明玥.受光阑限制的部分相干光通过湍流大气传输的方向性[J].中国激光,2012,39(9):0913002.
[17]Lee I E,Ghassemlooy Z,Ng W P,et al.Effects of aperture averaging and beam width on a partially coherent Gaussian beam over free-space optical links with turbulence and pointing errors[J].Applied Optics,2016,55(1):1-9.
[18]Chu X,Ni Y Z,Zhou G Q.Propagation analysis of flattened circular Gaussian beams with a circular aperture inturbulent atmosphere[J].Optics Communications,2007,274(2):274-280.