J4 ›› 2010, Vol. 27 ›› Issue (3): 264-269.

• 基础光学 • 上一篇    下一篇

矩孔菲涅尔衍射的光强分布

王永祥   

  1. 江西省宜春学院物理科学与工程技术学院
  • 收稿日期:2009-06-25 修回日期:2009-09-15 出版日期:2010-05-28 发布日期:2010-05-11
  • 通讯作者: 王永祥,男(1975 -),江西遂川人,讲师,主要从事导波与纤维光学方面的教学与科研。 E-mail:wyxjx@163.com
  • 作者简介:王永祥,男(1975 -),江西遂川人,讲师,主要从事导波与纤维光学方面的教学与科研。 E-mail: wyxjx@163.com

The light intensity distribution of Fresnel diffraction at retangular apertures

WANG Yong-xiang   

  1. College of Physics Science & Engineering Technology, Yichun University, Yichun 336000, China
  • Received:2009-06-25 Revised:2009-09-15 Published:2010-05-28 Online:2010-05-11

摘要:

根据菲涅尔-基尔霍夫衍射积分得出矩孔菲涅尔衍射的光强分布表达式,对该表达式作了数值计算,分析了矩孔尺寸对衍射光强分布的重要影响。当光源的孔面投影位于矩孔中心且矩孔尺寸很小时光强分布具有夫朗和费衍射的特征;随着矩孔尺寸增大,在离几何照明区与阴影区边界距离相等的阴影区域内相邻光强峰值与谷值的比值越小,几何照明区出现的光强峰值越多。当光源的孔面投影不在矩孔中心时光强分布的对称性不复存在。最后计算分析了多矩孔菲涅尔衍射的光强分布。

关键词: 傅里叶光学∣光强分布∣矩孔菲涅尔衍射∣数值积分

Abstract:

According to Fresnel-Kirchhoff diffraction formula, got the light intensity expression about diffraction at rectangular apertures and made numerical calculation, analyzed the influence of the size of aperture on light intensity of rectangular diffraction. The light intensity distribution was characterized by Fraunhofer diffraction when the projection of light source located in the symmetry center of rectangular aperture and the size of aperture is small enough .With the increasing of the size of aperture, the ratio of adjacent peak and valley value of light intensity is decreasing in the same region of geometric shadow, and more light intensity peak value appearing in the geometric illuminated district. The symmetry no longer existed when the projection of light source is not located in the symmetry center of rectangular aperture. At last the light intensity distribution of Fresnel diffraction at several rectangular apertures is calculated and analyzed.

Key words: Fourier optics∣light intensity distribution∣Fresnel diffraction at rectangular aperture∣numerical integration