基于Rayleigh-Sommerfeld积分的矢量衍射理论的适用范围  

Application of the vector diffraction theory based on Rayleigh-Sommerfeld integration

作　　者：王晓琨[1,2,3] 耿滔[1,2,3] 

机构地区：[1]上海理工大学上海市现代光学系统重点实验室,上海200093 [2]上海理工大学教育部光学仪器与系统工程研究中心,上海200093 [3]上海理工大学光电信息与计算机工程学院,上海200093

出　　处：《光学仪器》2017年第3期21-26,共6页Optical Instruments

基　　金：国家重点基础研究发展计划(973计划)(2015CB352001);国家自然科学基金(61008044);上海市自然科学基金(16ZR144600)

摘　　要：以径向偏振的Laguerre-Gaussian光束为例,探讨了基于Rayleigh-Sommerfeld积分的矢量衍射理论的适用范围。经与Richards-Wolf理论计算结果比较发现,在有效数值孔径小于0.4的情况下,Rayleigh-Sommerfeld理论可以适用,并可用于探讨小菲涅耳数的焦移问题。但对于紧聚焦大数值孔径系统,Rayleigh-Sommerfeld理论不再适用,因为这种理论低估了光波的衍射效应和矢量性,使得计算所得的聚焦光斑尺寸偏小。The application of the vector diffraction theory based on Rayleigh-Sommerfeld integration has been studied using Laguerre-Gaussian beams with radial polarization.It is found that the Rayleigh-Sommerfeld vector diffraction theory is valid when the numerical aperture is less than 0.4in comparison with the calculation results of Richards-Wolf vector diffraction theory.However,for short-focus large-numercial-aperture systems,the RayleighSommerfeld theory underestimates the diffraction effect and the vector property of light waves.Thus,the Rayleigh-Sommerfeld theory cannot be used for short-focus large-numercialaperture systems.

关 键 词：矢量衍射 Rayleigh-Sommerfeld积分 径向偏振 

分 类 号：O436.1[机械工程—光学工程]