无衍射光束的轴上光强和最大准直距离  

Study on the On-Axis Intensity and the Maximum Collimated Distance for an Non-Diffraction Beam

作　　者：刘岚[1] 吴逢铁[1] 曾夏辉[1] 

机构地区：[1]华侨大学信息科学与工程学院,福建泉州362021

出　　处：《华侨大学学报（自然科学版）》2007年第4期350-352,共3页Journal of Huaqiao University(Natural Science)

基　　金：福建省自然科学基金资助项目(A0410017)

摘　　要：利用柯林斯公式推广,在柱坐标下的广义惠更斯-菲涅尔衍射积分公式,推导出用锥形透镜产生的近似无衍射光束的纵向传输分布,且进一步得到轴上光强公式,并用几何光学分析法得到最大准直距离的公式.根据数值模拟的轴上光强,分别讨论轴棱镜底角对轴上光强分布的影响,入射光束半径R、底角φ对最大准直距离Zmax的影响.实验结果表明,轴上光强随着底角的增大而增大,最大准直距离Zmax随入射光束半径R增大而增大并近似与R成正比,最大准直距离Zmax随底角增大而减小且近似与底角反比.Using the Collins formula and Huygens-Fresnel diffraction integral theory, the on-axis beam intensity formula of a non-diffraction beam generated by an aperture plane wave impinging through an axicon was given. Based on the simple geometrical theory, it is easy to deduce equation of the maximum non-diffraction distance. In this paper, we analyzed the distribution of the on-axis intensity and the effect of both the radius R of the aperture and the base angel of the axicon on the maximum non-diffraction distance according to the numerical calculation. The experimental results show that the on-axis intensity increased with the increasing of the base angle of the axicon; the maximum non-diffraction distance Zmax increased with the radius R of the incident beam and proportional with the R, and inverse proportional with the base angle of the axicon.

关 键 词：无衍射光束 轴棱镜 轴上光强 最大准直距离 

分 类 号：O436[机械工程—光学工程]