基于Matlab的二维正交网格夫琅禾费衍射场模拟分析  

SIMULATION AND ANALYSIS OF FRAUNHOFER DIFFRACTION FIELD FOR TWO-DIMENSION ORTHOGONAL GRID BY MATLAB SOFTWARE

作　　者：赵梓媛[1] 孟庆国[1] 孙文军[1] 

机构地区：[1]哈尔滨师范大学,黑龙江哈尔滨150025

出　　处：《物理与工程》2016年第6期112-116,共5页Physics and Engineering

基　　金：黑龙江省教育改革工程项目(No.JG2014010850)

摘　　要：二维正交网格夫琅禾费衍射场的计算较为复杂,衍射过程抽象,利用Matlab软件对其进行模拟分析,以便整体掌握二维正交网格衍射场的分布特点.用于夫琅禾费衍射的二维正交网格相当于两块黑白光栅的正交密接,其屏函数为二者之积.夫琅禾费衍射场能准确地实现屏函数的傅里叶变换,其中空间频率与场点坐标满足确定的替换关系,进而可计算出衍射场的光强分布.利用傅里叶变换的基本理论与Matlab软件计算模拟二维正交网格的夫琅禾费衍射场的频率域光强分布,分析光学参数变化对衍射场的影响,加深对光衍射及傅里叶变换理论的理解与掌握,为该领域的研究人员提供相应的理论与技术借鉴.In order to show the diffraction field distribution,Matlab software was used as simulation and analysis of Fraunhofer diffraction for two-dimensional orthogonal grid.The Fraunhofer diffraction of two-dimensional orthogonal grid is equivalent to orthogonal joint of two pieces of black and white orthogonal gratings,and screen function is their product.Fraunhofer diffraction field is able to accurately realize the Fourier transform of screen function.Its spatial frequency and sites coordinates meet certain relations,consequently be able to calculate the distribution of the diffraction fields.The basic theory of Fourier transform and Matlab software are used to render the three dimensional diffraction intensity distribution image for the two-dimensional orthogonal grids,in order to analyze the relationship between the parametric variation and image,deepening the understanding and mastering of the theory of optical diffraction,providing a theoretical basis and technical supports for researchers in the field.

关 键 词：正交网格 夫琅禾费衍射 傅里叶变换 

分 类 号：O436.1[机械工程—光学工程]