完美Lommel光束的产生  

Production of Prefect Lommel Beams

作　　者：杨婧羽 周润[1,2] 陈日坚 弓宁 范长江 任志君[1] Yang Jingyu;Zhou Run;Chen Rijian;Gong Ning;Fan Changjiang;Ren Zhijun(Key Laboratory of Researching Optical Information Detecting and Display Technology in Zhejiang Province,Zhejiang Normal University,Jinhua 321004,Zhejiang,China;Yiwu Industrial and Commercial College,Yiwu 322000,Zhejiang,China)

机构地区：[1]浙江师范大学浙江省光信息检测与显示技术研究重点实验室,浙江金华321004 [2]义乌工商职业技术学院,浙江义乌322000

出　　处：《光学学报》2023年第2期218-225,共8页Acta Optica Sinica

基　　金：国家自然科学基金(11974314)。

摘　　要：引入了一种新型完美涡旋光束——完美Lommel光束(PLBs)。首先给出了产生这种光束的理论机制,然后构建实验系统来产生PLBs。实验主要分为两步:第一步是利用罗曼迂回相位编码法产生高质量Lommel光束;第二步是将生成的Lommel光束经傅里叶变换后产生PLBs。产生的PLBs的环半径不受拓扑荷值的影响,并可通过阶数、不对称参数的模和角度三个参数来调控PLBs的分布,这意味着PLBs是一种具有三个自由度的三参量完美涡旋光束。Objective Non-diffractive beams have been widely researched since their birth. The Lommel beams are a kind of nondiffractive beams, which have a complex structure and can be described by Lommel functions. The optical morphology of the non-diffractive Lommel beams can be modulated by three parameters, i.e., the topological charge n, the asymmetry parameter c0, and the rotation angle φ_(0). Apparently, Lommel beams differ from the one-parameter non-diffractive beams(Bessel beams, vortex beams, and Airy beams) and two-parameter non-diffractive beams(Mathieu beams and parabolic beams). The structure of three-parameter Lommel beams is more complex, and their optical morphology is more abundant than that of the one-parameter and two-parameter non-diffractive beams. For a traditional vortex beam, its structure is a bright ring around the middle dark core, and its topological charge affects the size of the bright ring radius. To solve this problem, researchers introduce the perfect vortex beam. The main optical property of the perfect vortex beam is that it has a ring vortex structure with stable size, namely that the size of the ring is independent of the topological charge. At present, perfect vortex beams mainly include classical perfect vortex beams and perfect elliptical vortex beams. This study attempts to produce perfect beams with more abundant optical morphology. In other words, we hope to generate perfect Lommel beams(PLBs) on the basis of diffraction-free Lommel beams, and the optical morphology of the produced PLBs can be adjusted by the three parameters at the same time.Methods Classical perfect beams are generated through the Fourier transform of Bessel beams. In this paper, we use the Fourier transform of Lommel beams to generate a new kind of perfect beams, i. e., PLBs. Complex amplitude modulation, namely that the amplitude and phase of beams are modulated simultaneously, is necessary for the generation of Lommel beams with a complex structure. It is easy to construct the amplitude modulation and phase

关 键 词：物理光学 完美Lommel光束 罗曼迂回相位编码法 复振幅调制 

分 类 号：O436[机械工程—光学工程]