电磁-高斯谢尔模型阵列光束在大气湍流中的传输特性  

Propagation properties of electromagnetic Gaussian-Shell model array beams in atmospheric turbulence

作　　者：张笔灵 徐勇根 但有全[2] 邓学儒 赵正权 黄永平[3] ZHANG Bi-ling;XU Yong-gen;DAN You-quan;DENG Xue-ru;ZHAO Zheng-quan;HUANG Yong-ping(School of Science,Xihua University,Chengdu 610039,China;Physics Teaching Research Group,Civil Aviation Flight University of China,Guanghan 618307,China;School of Physics and Electronic Engineering,Yibin 644007,China)

机构地区：[1]西华大学理学院,四川成都610039 [2]中国民航飞行学院物理教研室,四川广汉618307 [3]宜宾学院物理与电子工程学院,四川宜宾644007

出　　处：《光电子．激光》2018年第9期1031-1038,共8页Journal of Optoelectronics·Laser

基　　金：国家自然科学基金委员会与中国民用航空局联合资助(U1433127);中国民航飞行学院科研基金资助(JG2016-17);西华大学青年学者后备人才(0220170303);国家自然科学基金面上项目(61775188)资助项目

摘　　要：根据广义惠更斯菲涅尔原理与维格纳分布函数相结合的方法,导出了电磁高斯谢尔模型阵列光束(EGSMA Beams)在大气湍流中传输的均方根空间扩展、角扩展以及M^2因子的解析式。(分析了其传输特性与光束宽度、初始相干长度、阵列光束数量、初始偏振度、湍流内尺度以及折射率结构常数的关系。)研究结果表明相对M^2因子随初始偏振度、初始相干长度和折射率结构常数的减小,以及阵列光束数量、光束宽度、和湍流内尺度的增大而减小,此时相对M^2因子受大气湍流影响更小。当经过大约5km的传输距离后,初始相干长度对相对M^2因子的影响开始明显加大,且随传输距离增大而增大。同时研究结果表明当阵列光束数量增加越多时,相对M^2因子越接近1。并且分析得出初始偏振度以及折射率结构常数对相对M^2因子的影响大于相对均方根空间扩展和角扩展。Based on the generalized Huygens-Fresnel integral and the second-order moments of the Wigner distribution function,the analytical formulas for the root-mean-square （rms） spatial width,rms angular width and M^2-factor of electromagnetic Gaussi an-Shell model array beams （EGSMA beams） propagating through the atmospheric turbulence are derived.The relationships of the propagation properties of EGSMA beams in turbulence with the initial beam wi dth,initial coherence length,the beam array number,initial degree of polarization,inner scale of t he turbulence and the structure parameter of the refractive index fluctuations of the turbulence are a nalyzed.The results show that compared with the relative M^2-factor decreases with the decreases of initial deg ree of polarization,coherence lengths and the refractive index fluctuations of t he turbulence,and with the increases of beam array numbe r,larger beam width and larger inner scale,the relative M^2-factor of EGSMA be ams in turbulence is less affected by turbulence.And it is known that when the propagation distance is about 5km or m ore,the influence of coherence lengths on the relative M^2-factor is increa sed obviously as the increase of propagation distance. Furthermore,it is also found that the value of the relative M^2-factor is close to 1with the beam array number increasing.Meanwhile,the relative M^2-factor is influenced by the structure parameter of the refractive index fluctuations of the turbulence more seriously compared with tho se influenced by the relative rms spatial width and angular width.

关 键 词：大气湍流 EGSMA BEAMS 二阶矩 M^2因子 

分 类 号：O436[机械工程—光学工程]