强激光与粒子束, 2005, 17 (3): 343, 网络出版: 2006-04-28   

会聚球面波圆孔衍射的一般积分式

General integral expressions for converging spherical wave diffracted at a circular aperture
作者单位
1 成都理工大学信息工程学院,四川,成都,610059
2 四川大学激光物理与化学研究所,四川,成都,610064
摘要
分别从菲涅尔-基尔霍夫和瑞利-索莫非衍射积分公式出发,导出了考虑倾斜因子后会聚球面波经圆孔衍射的一般衍射积分表达式.所得公式不仅可计算衍射场的焦移,而且对弱聚焦和强聚焦情况均适用.并与Li和Wolf公式的结果进行了比较,结果证实所得公式适用广泛.
Abstract
Starting from the Fresnel-Kirchhoff and Rayleigh-Sommerfeld diffraction integral formulas, respectively, and in consideration of the inclination factor, the general diffraction integral expressions for convergent spherical waves diffracted at a circular aperture are derived, which are not only used to compute focal shifts of the diffraction field, but also valid for both weak and strong focusing cases, and thus have the generally applicable advantage. The results are compared with those got using the Li-Wolf formula, and the Li-Wolf formula can be regarded as an approximation of the general expressions under certain condition. The results are useful for the study of the beam precise focusing.

郭江, 吕百达, 段开椋. 会聚球面波圆孔衍射的一般积分式[J]. 强激光与粒子束, 2005, 17(3): 343. GUO Jiang, Lü Bai-da, DUAN Kai-liang. General integral expressions for converging spherical wave diffracted at a circular aperture[J]. High Power Laser and Particle Beams, 2005, 17(3): 343.

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