无衍射Mathieu光束经轴棱锥的聚焦特性  

The Focusing Characteristics of Mathieu Beam Propagating through Axicon

作　　者：谢晓霞[1] 纪佳位 王硕琛 吴逢铁[1] 

机构地区：[1]华侨大学信息科学与工程学院福建省光传输与变换重点实验室,福建厦门361021

出　　处：《光子学报》2016年第2期51-55,共5页Acta Photonica Sinica

基　　金：国家自然科学基金(No.61178015);福建省科技创新平台计划项目(No.2012H2002);泉州市科技重点项目(No.2014Z127)资助~~

摘　　要：基于Mathieu-Hankel波理论分析了Mathieu光束经轴棱锥后的聚焦特性,并利用菲涅尔衍射积分理论及稳相法,推导出Mathieu光束经轴棱锥后的准确解析表达式.数值模拟了无衍射Mathieu光束经轴棱锥线性聚焦后的光场在不同传播距离处的截面光强分布及轴上光强分布.理论分析及数值模拟均表明无衍射Mathieu光束经轴棱锥聚焦后会产生周期性Mathieu光束.研究结果对扩展Mathieu光束的应用范围提供了理论依据.Based on the Mathieu-Hankel wave′s theory,the focusing characteristics of Mathieu beam propagating through axicon was analyzed.By Fresnel diffraction theory and the method of stationary phase,the optical fields′formula of Mathieu beam propagating through the axicon was deduced,the transverse intensity distribution in difference propagation distances was numerical simulated.The theoretical analysis and numerical simulation both show that the Mathieu beam passing through axicon can generate periodic Mathieu beam.This result has provided a theoretical basis in application of Mathieu beam.

关 键 词：物理光学 周期Mathieu光束 稳相法 衍射理论 轴棱锥 Mathieu Hankel波理论 

分 类 号：O439[机械工程—光学工程]