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Nonparaxial propagation properties of an anomalous hollow beam with orbital angular momentum
Authors:Xinlei Zhu  Xingyuan Lu  Kuilong Wang  Bernhard J. Hoenders  Yangjian Cai
Affiliation:1. College of Physics, Optoelectronics and Energy and Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University, Suzhou, China;2. Key Lab of Advanced Optical Manufacturing Technologies of Jiangsu Province and Key Lab of Modern Optical Technologies of Education Ministry of China, Soochow University, Suzhou, China;3. Department of Physics, Hangzhou Normal University, Hangzhou, China;4. Zernike Institute for Advanced Materials, University of Groningen, Groningen, The Netherlands
Abstract:The analytical nonparaxial propagation formula of an anomalous hollow beam (AHB) with orbital angular momentum (OAM) in free space is derived based on the generalized Raleigh–Sommerfeld diffraction integral. The nonparaxial properties of AHB with OAM such as intensity, phase and OAM density distributions are studied in detail, using the pertinent nonparaxial propagation formula. The comparison between the paraxial and nonparaxial results is also carried out. The results show that the nonparaxial properties of an AHB with OAM are determined by the initial beam parameters, such as beam waist size and topological charge and propagation distance.
Keywords:Orbital angular momentum  nonparaxial propagation  anomalous hollow beam
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