基于涡旋高斯光束的自成像效应数值实验  

Numerical experiments on self-imaging effects generated by vortex Gaussian beams

作　　者：李欣[1] 张培峰[1] 展凯云 LI Xin;ZHANG Peifeng;ZHAN Kaiyun(College of Pipeline and Civil Engineering,China University of Petroleum(East China),Qingdao 266580,China;College of Science,China University of Petroleum(East China),Qingdao 266580,China)

机构地区：[1]中国石油大学(华东)储运与建筑工程学院,山东青岛266580 [2]中国石油大学(华东)理学院,山东青岛266580

出　　处：《实验技术与管理》2024年第3期148-155,共8页Experimental Technology and Management

基　　金：山东省自然科学基金项目(ZR2021MA030);教育部产学合作协同育人项目(220603584270057,220603584220116);中国石油大学(华东)校级教学改革项目(CM2022040,CM2022091)。

摘　　要：涡旋光束的传输动力学行为是光学领域研究的热点之一。该文采用理论分析与数值模拟相结合的方法,研究了经典光学涡旋、非对称幂指数光学涡旋和对称幂指数光学涡旋三类不同涡旋高斯光束的传输行为。结果表明,在自由空间中三类光学涡旋高斯光束均可产生整数、分数自成像效应,其自成像距离与无光学涡旋高斯光束产生的自成像现象的复现距离一致。自成像平面上光场结构由一系列周期性阵列光束构成,其光强分布与涡旋相位的拓扑荷数和幂指数阶数密切相关。对于所施加的三类光学涡旋,阵列波束表现出了圆环、螺旋及花瓣型三类不同的光场分布,但是其相位分布基本保持不变。该研究为系统认识周期性涡旋光束的演化动力学行为,以及获得新颖的结构光束提供了新的思路和方法。[Objective]Due to the extensive application of self-imaging effects in different fields such as precise measurements,structured light illumination,high-resolution imaging,image processing,and other fields,studies on self-imaging effects,also known as the Talbot effects,have gradually expanded to various physical systems.In the field of optics,it has been theoretically predicted and experimentally demonstrated that self-imaging effects can be realized by using different types of structural beams.Meanwhile,optical beams carrying orbital angular momentum have significant applications in optical manipulation,optical imaging,quantum key distribution,and quantum entanglement.Propagation dynamics of vortex beams are a hotspot in optics research.Focusing on the formation of well-ordered spatial arrays of optical vortices,the effect of different optical vortices on the dynamic behavior of periodic beam evolution would offer novel ideas and ways to systematically understand the evolution dynamic behaviors of vortex beams and the realization of novel structural beams.[Methods]Herein,theoretical and numerical investigations on the propagation dynamics of three different types of vortex Gaussian beams are performed.Classical optical vortex beams,asymmetric power-law optical vortices,beams and symmetric power-law optical vortices beams are considered.Both the intensity distribution and self-imaging distance of transverse periodic Gaussian beams are determined based on the Fresnel diffraction integral theorem.Afterward,the above three types of vortex phases imposed on the initial transverse periodic Gaussian beams are considered,which are chosen as the input beams to directly solve the two-dimensional paraxial wave equation numerically by using the beam propagation method.The dynamic behavior of beam energy evolution is obtained.In addition,the light field distribution is examined in detail,and its self-imaging distance is determined.Comparison of the theoretical and numerical results is performed.[Results]The focus is on the d

关 键 词：自成像效应 光学涡旋 高斯光束 螺旋相位 

分 类 号：O436.1[机械工程—光学工程]