摘要
本文基于广义惠更斯-菲涅尔原理和大气湍流理论模型,推导了高斯涡旋光束在non-Kolmogorov大气湍流中斜程传输的螺旋谱解析表达式和光强表达式,并数值模拟了涡旋光束传输后螺旋谱和光强的分布规律,分析了各光束参数和大气湍流对螺旋谱弥散的影响。研究结果表明:随着传输距离增大,螺旋谱弥散越强烈,在增大到一定距离时,各螺旋谱分量逐渐趋于均匀分布,光强逐渐呈高斯分布。增大光束的初始拓扑荷数和波长可有效减小传输后螺旋谱的弥散程度;当天顶角逐渐增大到π/2时,传输方式为水平传输,螺旋谱弥散程度显著增大;近地面折射率结构常数越大、湍流内尺度越小,螺旋谱弥散越严重,而湍流外尺度对螺旋谱的影响程度很小。
Based on the generalized Huygens-Fresnel principle and the theoretical model of atmospheric turbulence,the analytical expression of the spiral spectrum and the expression of the light intensity of the Gaussian vortex beam in the non-Kolmogorov atmospheric turbulence with a slant path are derived,and the distribution rules of spiral spectrum and light intensity after the transmission of the vortex beam are numerically simulated.The effects of each beam parameter and atmospheric turbulence on the spiral spectrum dispersion are analyzed.The results show that with the increase of the transmission distance,the dispersion of the spiral spectrum is stronger.When the transmission distance increases to a certain distance,the spiral spectral components gradually tend to be uniform distribution,and the light intensity gradually presents a Gaussian distribution.Increasing the initial topological charge and wavelength of the beam can effectively reduce the dispersion degree of the spiral spectrum after transmission.When the zenith angle gradually increases toπ/2,the transmission mode is horizontal transmission,and the dispersion degree of spiral spectrum is significantly increased.The larger the refractive index structure constant at the ground and the smaller the inner scale,the more serious the dispersion of the spiral spectrum after transmission,while the influence of the outer scale on the spiral spectrum is very small.
作者
郝鹏琪
尹晓金
李晋红
杨旭东
HAO Pengqi;YIN Xiaojin;LI Jinhong;YANG Xudong(School of Applied Science,Taiyuan University of Science and Technology,Taiyuan,Shanxi 030024,China)
出处
《光电子．激光》
CSCD
北大核心
2024年第1期84-90,共7页
Journal of Optoelectronics·Laser
基金
山西省基础研究计划项目(202103021223271,202103021223299,202203021211192)
太原科技大学校级博士科研启动金(20222009)
太原科技大学研究生教育创新项目(SY2022080)资助项目。
关键词
高斯涡旋光束
大气湍流
斜程传输
螺旋谱
光强分布
Gaussian vortex beam
atmospheric turbulence
slant path
spiral spectrum
light intensity distribution
