不同矩形孔的Fraunhofer衍射图样模拟  

Simulation on Fraunhofer Diffraction Patterns of Different Rectangle Apertures

作　　者：葛崇员[1] 成泰民[1] 孙树生[1] 

机构地区：[1]沈阳化工大学数理系,辽宁沈阳110142

出　　处：《沈阳师范大学学报（自然科学版）》2010年第3期371-373,共3页Journal of Shenyang Normal University:Natural Science Edition

基　　金：国家自然科学基金资助项目(10647138);辽宁省教育厅科学研究项目(20060667)

摘　　要：利用基尔霍夫衍射理论,推导出不同矩形孔的Fraunhofer(夫朗禾费)衍射在屏幕上的相对衍射强度的分布公式。并利用mathematic软件模拟了不同矩形孔的Fraunhofer衍射图样与强度分布,从而找出了不同矩形孔的形状与Fraunhofer衍射图样之间的内在规律:明暗相间的衍射条纹与对应矩形的互相平行的两边垂直;明暗相间的衍射条纹的宽度与两平行边之间的距离密切相关,两平行边之间的距离越小,对应的与平行边垂直方向的衍射条纹越宽,平行方向的越窄等。Using Kirchhoff diffraction theory,we derived the relative diffraction intensity distribution formula of Fraunhofer diffraction of different rectangle apertures on the screen.Then we use mathematica-7.0 software to simulate Fraunhofer diffraction pattern and relative intensity distribution of different rectangle apertures,thus reveal the inherent laws of different shapes of rectangle apertures between Fraunhofer diffraction pattern;light alternate with dark diffraction stripes is perpendicular to the corresponding parallel sides of rectangle;the width of the diffraction stripes is closely related to the distance of the parallel sides,the smaller of the distance between the two parallel sides,the wider of the diffraction stripes which is perpendicular to the parallel sides,while the narrower of the parallel direction＇s.

关 键 词：基尔霍夫理论 矩形孔 FRAUNHOFER衍射图样 相对衍射强度 

分 类 号：O436.1[机械工程—光学工程]