会聚球面波通过环形光阑的光强分布

详细信息

Intensity distribution of converging spherical waves passing through an annular aperture

1.
Department of Applied Physics, Southwest Jiaotong University, Chengdu 610031, China;
2.
Institute of Laser Physics and Chemistry, Sichuan University, Chengdu 610064, China

摘要: 基于菲涅耳衍射积分公式,推导出了会聚球面波通过环形光阑后场分布的解析公式,并讨论了一些特殊情况.数值计算例表明,光强分布与菲涅耳数和遮拦比有关.使用轴上光强公式和近似公式对焦移计算结果的比较证明了近似公式的适用范围.
- 会聚球面波 /
- 环形光阑 /
- 光强分布 /
- 焦移 /
- 有效菲涅耳数
Abstract: Based on the Fresnel diffraction integral,the analytical expression for the field distribution of converging spherical waves passing through an annular aperture is derived and some special cases are discussed.Numerical calculations are performed to show the dependence of intensity distribution on the Fresenl number and obscure ratio.In order to illustrate the valid range of the axial intensity expression and approximation formulae numerical results of both the methods are compared.
- converging spherical wave /
- annular aperture /
- intensity distribution /
- focal shift /
- effective Fresnel number

[1]	LI Y, WOLF E. Three-dimensional intensity distribution near the focus in systems of different Fresnel numbers [J]. J O S A,1984,1 (8):801～808.
[2]	POON T. Fooal shift in focused annular beams [J]. Opt Commun,1988,65 (6):401～406.
[3]	KATHURIA Y P. Focal shift in converging annular beam:a corollary [J]. J Opt,1989,20(3):141～144.
[4]	MANUEL M,CARLOS J Z,PEDRO A et al. Effective Fresnel-number concept for evaluating the relative focal shift in focused beams [J]. J O S A,1998,A15(2):449～455.
[5]	BORN M, WOLF E. Prinoiples of optics [M]. Cambridge: Pergamon Press,2001. 485～489.