轴锥镜光束变换特性分析  

Analysis of Characteristics of a Beam Transformed by an Axicon

作　　者：陈晓雪 楼宇丽[1] 李重光[1] 代梦诗 孙其华 Chen Xiaoxue;Lou Yuli;Li Chongguang;Dai Mengshi;Sun Qihua(Key Laboratory of Laser Information Processing Technology and Application,College of Science,Kunming University of Science and Technology,Kunming,Yunnan 650500,China)

机构地区：[1]昆明理工大学理学院激光信息处理技术与应用重点实验室,云南昆明650500

出　　处：《激光与光电子学进展》2021年第17期141-146,共6页Laser & Optoelectronics Progress

基　　金：国家自然科学基金(61465005,61565011,61540075);云南省级人培基金(KKSY201407082)。

摘　　要：垂直入射平行光束经轴锥镜变换后,出射光束为Bessel光束。在轴锥镜后方一段传播范围内其分布形式始终保持不变,横截面光强分布表现为均匀间距的同心圆环,中心为一亮斑。首先通过几何光学分析,推导出无衍射传播距离的计算公式;然后,用波动光学的方法推导出亮暗相间同心圆环条纹的间距公式,以及给出存在确切解析表达式的轴锥镜后方横截面光强分布和Bessel光束中心光斑尺寸计算公式,并用MATLAB软件对Bessel光束进行模拟;最后,进行实验验证,并讨论Bessel光束与轴锥镜几何光学参数之间的关系,为Bessel光束的实际应用提供参考。A parallel beam will be transformed into a Bessel beam by an axicon,once the parallel beam is projected vertically onto the axicon’s surface.The converted beam propagates a certain distance keeping a fixed transverse intensity distribution,which is a central circular spot surrounded by a series of dark and bright rings with proportional spacing.In this paper,first a formula is presented to evaluate the nondiffracted propagation distance according to geometrical optics principles;second,the fringe spacing of the Bessel beams is formulated using overlapping rules of optical waves,intensity distribution of the rear cross section of the axicon with exact analytic expression and the Bessel beam center spot size calculation formula are given,and the distribution of the Bessel beam is simulated by programing in MATLAB.Finally,experimental validation is given,and the relationships between the parameters of the axicon and the Bessel beam are discussed to help in utilization of the Bessel beam.

关 键 词：衍射 轴锥镜 光束变换 BESSEL光束 强度分布 

分 类 号：O436.1[机械工程—光学工程]