风控热晕下复合贝塞尔高斯光束的模式串扰  

Mode Crosstalk of Composite Bessel-Gaussian Beams under Wind-dominated Thermal Blooming

作　　者：丁洲林 于永吉[1] 李晓庆[2] DING Zhoulin;YU Yongji;LI Xiaoqing(Jilin Key Laboratory of Solid Laser Technology and Application,School of Physics,Changchun University of Science and Technology,Changchun 130022,China;Department of Physics,Sichuan Normal University,Chengdu 610068,China)

机构地区：[1]长春理工大学物理学院吉林省固体激光技术与应用重点实验室,长春130022 [2]四川师范大学物理与电子工程学院,成都610068

出　　处：《光子学报》2024年第2期200-210,共11页Acta Photonica Sinica

基　　金：吉林省自然科学基金(No.20210101154JC);吉林省教育科学“十四五”规划2022年度重点课题(No.ZD22002)。

摘　　要：采用多层相屏法和快速傅里叶变换法数值求解热晕方程,研究了复合贝塞尔高斯(cBG)光束大气传输过程中受热晕效应的影响。研究发现:由于热晕效应造成的光强和相位畸变,cBG光束会发生相位奇点移动和轨道角动量谱展宽,并产生模式串扰。当风速较小时,大气介质吸收激光产生的热效应较强,导致光束的模式串扰也较强。对于初始角量子数差值较大的cBG光束,其相对串扰能量较小,受热晕效应影响导致的模式串扰较弱。此外,还研究了旋转cBG光束的热晕效应,该光束的旋转特性使其在传输过程中四周都能得到均匀的扩展。因此,相较于非旋转cBG光束,旋转cBG光束的光强分布比更均匀,模式串扰更小。并且,随着旋转cBG光束的径向波数差值的增大,模式串扰减弱。综上,增大初始角量子数差值以及径向波数差值可以有效降低cBG光束的模式串扰。Bessel-Gaussian beams have potential applications in laser atmospheric engineering applications such as directed energy and space optical communication.The influence of the thermal blooming effect on composite Bessel-Gaussian(cBG)beams propagating in the atmosphere is studied using the multi-phase screen method and the fast Fourier transform to solve the thermal blooming equation.The Fast Fourier Transform(FFT)is capable of processing the propagation between the phase screens.Consequently,the propagation process of the cBG beam from zn to zn+1 can be divided into three steps:the first step is the vacuum propagationΔz/2 via the fast Fourier transform;The second step is the phase change caused by the atmospheric refractive index fluctuations;The last step is the remaining vacuum propagationΔz/2 via the fast Fourier transform again.Thus,the atmospheric propagation of the beam is converted into the propagation between the multi-phase screens,and the phase screens represent the disturbance of thermal blooming on the beam.Based on the above method,a 4D computer code is designed to simulate the timedependent propagation of cBG beams in the atmosphere.To be convenient to analyze the thermal blooming effect of cBG beams,we provide the expression for the amplitude factor.Considering both the diffraction of the optical field and the time scale of the thermal blooming effect,we study the beam distortion,orbital angular momentum spectrum,and mode crosstalk of cBG beams under the thermal blooming effect.Due to the wind-dominated thermal blooming effect,the phase singularity positions cBG beams are irregularly shifted.By analyzing the orbital angular momentum spectrum of the cBG beam under the thermal blooming effect,we found that the energy between the initial modes of the beam is transferred to each other,producing mode crosstalk.With the increase of propagation distance or the decrease of crossing wind velocity,the strength of the thermal blooming effect increases,resulting in the enhancement of mode crosstalk.The relative

关 键 词：复合贝塞尔高斯光束 热晕效应 大气传输 模式串扰 

分 类 号：O436[机械工程—光学工程]