平面波经小圆孔非傍轴衍射的轴上光强解析分析(英文)  

Analyzing the Axial Intensity of Plane Waves Diffracted Nonparaxially by a Small Circular Aperture

作　　者：张耀举[1] 

机构地区：[1]温州大学物理与电子信息学院,温州325027

出　　处：《光子学报》2006年第12期1917-1920,共4页Acta Photonica Sinica

基　　金：Supported by the Scientific Research Foundation of HigherSchools of Zhejiang Province

摘　　要：用亥姆霍兹-基尔霍夫积分定理和基尔霍夫边界条件,推导出了平面波经小圆孔非傍轴衍射时轴上强度的简单解析表达式,研究了平面波经小圆孔后整个衍射空间非傍轴的轴上光强分布·给出了计算圆孔菲涅尔数的精确公式,重新检查了通常的菲涅尔数公式的有效性·数值计算显示,应用解析表达式所得的结果与应用衍射积分公式所得的结果完全一致·A simply and analytical formula of the axial light intensity distribution behind a circular aperture is derived by using the Helmhotz Kirchhoff integral theorem and the Kirchhoff＇ s boundary conditions. It is studied the nonparaxial on-axis intensity distribution throughout the whole space behind a circular aperture. An accurate formula to calculate the Fresnel number of circular aperture is presented and the validity of usual Fresnel number formula is reexamined. By using the analytical formula and diffraction integral formula, some numerical simulation comparisons are done, and it is shown that the results of the two methods are completely coincident.

关 键 词：标量衍射 非傍轴光强分布 圆形孔径 菲涅尔数 

分 类 号：O436.1[机械工程—光学工程]