单色点源矩孔菲涅耳衍射光场的计算与模拟  

Calculation and Simulation of the Fresnel Diffraction Field of a Rectangular Aperture Irradiated by a Monochromatic Point Source

作　　者：常山[1] 桑志文[1] 毛杰健[1] 朱品珍[1] 

机构地区：[1]上饶师范学院物理与电子信息系

出　　处：《安徽师范大学学报（自然科学版）》2010年第4期336-339,共4页Journal of Anhui Normal University(Natural Science)

基　　金：江西省自然科学基金项目(2008GZS0045);上饶师范学院2009年教改课题

摘　　要：点源照射的衍射较平面光照射的衍射更具一般性,对光束的传输与变换、光学系统的衍射成像以及光信息处理等方面有重要作用.首先由菲涅耳——基尔霍夫衍射公式得到单色点源照射矩孔产生的衍射光场的积分表达式,然后推导了单色点源照射矩孔产生的菲涅耳衍射及其特殊情况夫琅禾费衍射的光场的计算式.利用Matlab软件计算模拟了它们傍轴区的衍射图样,模拟试验表明了推导的计算式的有效性与可靠性.这些有利于对相关的衍射理论与技术的进一步研究.The rectangular aperture diffraction irradiated by a point source plays an important role in the beam transmission and transformation,the diffraction imaging of optical imaging system and optical information processing.At first the integral expression of the Fresnel diffraction field of a rectangular aperture irradiated by a monochromatic point source is expressed from the formula of Fresnel-Kirchhoff diffraction,then the calculation expression for Fresnel diffraction field and its peculiar circumstance Fraunhofer diffraction field are deduced.Next the paraxial area diffraction patterns of the corresponding light fields are simulated with the Matlab software from the calculation expressions,and the simulation test verifies the deduced formula are effective and reliable.These are conducive to further research related to diffraction theory and technology.

关 键 词：点源矩孔衍射 菲涅耳衍射 基尔霍夫衍射公式 菲涅耳积分 夫琅禾费衍射 

分 类 号：O436.1[机械工程—光学工程]