摘要
根据广义惠更斯-菲涅耳原理和交叉谱密度函数的表达式,推导出部分相干高斯-谢尔涡旋光束在大气湍流中传输时光强分布的积分形式,通过一些特殊积分处理得到完整的解析表达式,分析讨论了传输距离、湍流强度和光束自身参数等对光束光强分布的影响。结果表明:部分相干涡旋光束在大气湍流中传输时,随着传输距离的增加,光强分布逐渐由空心分布转化为高斯分布;当拓扑荷数为0时,随着传输距离的增加,光强分布一直保持高斯分布;在湍流强度不变的情况下,拓扑荷数越小,相干长度越短,束腰宽度越长,光强分布由空心分布转化为高斯分布所需要的传输距离越短。
Based on the generalized Huygens-Fresnel principle and the expression of the cross spectral density function, the integral form of intensity distribution of partially coherent Gaussian-Schell vortex beams propagating in the atmospheric turbulence is derived. A complete analytic expression is obtained by some special integral processings. The impacts of transmission distance, turbulence intensity and beam parameters on the beam intensity distribution are discussed. The results show that the intensity distribution of the partially coherent vortex beams in the atmospheric turbulence is gradually transformed into the Gaussian distribution by the hollow distribution with increase of the transmission distance. When the topological charge number is zero, the intensity distribution keeps Gaussian distribution with increase of the transmission distance. In terms of invariant turbulence intensity, the smaller the topological charge number is, the shorter the coherent length is, and the longer the waist width is, then the shorter the transmission distance is needed when the intensity distribution is transformed from hollow distribution to Gaussian distribution.
作者
柯熙政
王超珍
Ke Xizheng Wang Chaozhen(School of Automation and Information Engineering, Xi＇ an University of Technology, Xi＇ an, Shaanxi 710048, China)
出处
《激光与光电子学进展》
CSCD
北大核心
2016年第11期77-85,共9页
Laser & Optoelectronics Progress
基金
国家自然科学基金(61377080
60977054)
关键词
光通信
光强分布
大气湍流
部分相干涡旋光束
拓扑荷数
optical communications
intensity distribution
atmospheric turbulence
partially coherent vortex beams
topological charge
