物理学报2017，Vol.66Issue(14)：142-152,11.DOI:10.7498/aps.66.144210
基于焦散线方法的自加速光束设计
Design of accelerating beams based on caustic method
摘要
Abstract
Self-accelerating beam is a kind of light beam capable of self-bending in free space without any external potential, of which a typical one is the well-known Airy beam. Such a beam has gained great attention for its extraordinary properties, including nondiffracting, self-accelerating and self-healing, which may have versatile applications in the delivery and guiding of energy, information and objects using light, such as particle manipulation, micro-machining, optical routing, super-resolution imaging, etc. However, since Airy beam can only propagate along parabolic trajectory, which reduces the flexibility in practical applications, thus how to design accelerating beam's propagating along arbitrary trajectory is still a crucial problem in this area. One scheme is to keep on finding other analytical solutions of the wave equation besides Airy beam, such as semi-Bessel accelerating beams, Mathius beams, and Weber beams, moving along circular, elliptical, or parabolic trajectories, but it becomes increasingly difficult to find out any more solutions. A more effective solution to this problem is based on the caustic method, which associates the predesigned trajectory with an optical caustics and then obtains the necessary initial field distribution by performing a light-ray analysis of the caustics. This method has been implemented in real space and Fourier space based on Fresnel diffraction integral and angular-spectrum integral, respectively. It has been found recently that they can be unified by constructing Wigner distribution function in phase space. Based on the caustic method, accelerating beams were constructed to propagate along arbitrary convex trajectories in two-dimensional space at first. With continuous development of this method, the types of accelerating beams available have been extending from convex trajectories to nonconvex trajectories, from two-dimensional trajectories to three-dimensional trajectories, and from one main lobe to multiple main lobes, which opens up more possibilities for emerging applications based on accelerating beams. In future, previous researches and applications based on Airy beams will certainly be generalized to all these new types of accelerating beams, and owing to the great flexibility in designing accelerating beams, more application scenarios may emerge in this process with huge development potential. Thus in this paper, we review the principle and progress of the caustic method in designing accelerating beams.关键词
物理光学/自加速光束/焦散线/维格纳函数Key words
physical optics/self-accelerating beams/caustic/Wigner distribution function引用本文复制引用
闻远辉,陈钰杰,余思远..基于焦散线方法的自加速光束设计[J].物理学报,2017,66(14):142-152,11.基金项目
Project supported by the National Basic Research Program of China (Grant No. 2014CB340000), the National Natural Science Foundation of China (Grant Nos. 11690031, 61323001, 61490715, 51403244), the Science and Technology Program of Guangzhou, China (Grant No. 2018), and Sun Yat-sen University Fundamental Research Funds for the Central Universities of China (Grant Nos. 17lgzd06, 16lgjc16, 15lgpy04, 15lgzs095, 15lgjc25). 国家重点基础研究发展计划 (批准号: 2014CB340000)、国家自然科学基金 (批准号: 11690031, 61323001, 61490715, 51403244)、广州市科技计划科学研究一般项目 (批准号: 2018) 和中山大学高校基本科研业务费青年教师重点培育项目 (批准号: 17lgzd06, 16lgjc16, 15lgpy04, 15lgzs095, 15lgjc25) 资助的课题. （Grant No. 2014CB340000）
