基于MATLAB的傅里叶光学实验的计算机模拟

MATLAB*徐慧梁­何振江杨冠玲张成云(510631),.MATLAB.,,.,MATLAB,,ComputersimulationofFourieropticalexperimentsbasedonMATLABXUHu-iLiang­HEZhen-JiangYANGGuan-LingZHANGCheng-Yun(DepartmentofPhysics,SouthChinaNormalUniversity,Guangzhou510631,China)AbstractsComputersimulationiswidelyusedinteachingandresearch.TheintroductionofcomputersimulationintoFourieropticsexperimentscanaidthevisualizationanddeeperunderstandingofthephysicsofopticalphenome-na.InthispaperanewmethodthatusesMATLABtosimulateFourieropticsexperimentsispresented.Theadvantageofthismethodisthatitissimple,easilyadaptableandcapableofperformingfairlydifficultoperationsinthemostcommonopticalexperiments.Theresultsforanopticalfilterexperimentaregiven.Keywordscomputersimulation,MATLAB,spatialfiltering,digitalimageprocessing*2003-04-27,2003-07-19­.E-mail:[e-mail]1引言,,[1,2],MATLAB.,,,.MATLAB,,,,.,.,MATLAB,,.2计算机模拟方法MATLAB.(C,FORTRAN),MATLAB,,#298#.MATLAB,[3],,,,MATLAB,.,,,CAI.1.1:,Windows,(),MATLAB(\work).imread(),,MATLABfft2(),,.傅里叶光学简介傅里叶光学是现代光学中的一个分支,它利用光学方法实现二维函数的傅里叶变换,用傅里叶分析方法和线性系统理论来描写成像系统,收集或传递光学信息的现象,使人们研究光学不再局限于空域,而像电子通信理论一样在频率域中描述和处理光学信息.傅里叶分析方法早在19世纪末20世纪初便成功地应用于光学领域,具有代表性的是阿贝关于显微镜的二次成像理论和阿贝-波特(空间滤波)实验.傅里叶光学早期的卓越成就是20世纪30年代泽尼克发明的相衬显微镜.20世纪60年代激光器的发明使人们获得了相干性极好的新光源,从而使基于傅里叶光学理论的信息光学得以迅速发展起来成为光学中的一门新兴的前沿科学.目前,光学计算全息及其显示光学信息处理等已经在光学工程工业农业医药卫生和科学研究等多领域得到广泛应用.傅里叶光学已成为现代光学中具有广泛影响的新分支.,,:(1)abs(),,;fftshift(),,fftshift1,32,4,,FFT..(2)angle(),,(1),fftshift()..(3)()filter,(),,imshow()..,,.,,;#299#33(2004)4,.3计算机模拟实例3.1(),[4].4f,2,L1,L2L3,f,P1,P2,P3.P2,P1L2P2.,,,.L3,P3.24f3,.3(a),(b),(c),(d)(e);(f),(g)(i).(h)(j).,,,,4.,,.3.2,,,3(a);(b);(c);(d),(e);(f);(g),(h);(i),(j)4(a),(b),(c);(d),(e),(f).,,5(a),(b),(c).,5(d),.(b)(d),,,.5(a);(b);(c);(d);(e)#300#3.3,.MATLAB,,6.6(b)a(a)a,,6(c).6(a);(b);(c)4结束语,MATLAB,.,,.,()().[5],.,,.[1],,.,2000,19(8):44[ShenWM,DuMS,LiuDX.CollegePhysics,2000,19(8):44(inCh-inese)][2],.,2001,20(1):22[YuLH,ZhaoWY.CollegePhysics,2001,20(1):22(inChinese)][3].MATLAB6.x.:,2002.5[SunZL.MATLAB6.xImageProcessing.Beijing:Ts-inghuaUniversityPress,2002.5(inChinese)][4],,..:,1993.5[ZhangKM,ZhaoRC,LiangRS.InformationOptics.Guangzhou::SouthChinaUniversityofTechnologyPress,1993.5(inChinese)][5]GonzalezRC,WoodsRE.DigitalImageProcessing.Beijng:PublishingHouseofElectronicsIndustry,2002.7##Troy,NewYork,U.S.A.April,2004JOINOURGRADUATESCHOOLINPHYSICSPh.D.inDepartmentofPhysics,AppliedPhysics,andAstronomyAreasofresearch:TerahertzImagingandspectroscopy,TerascaleElectronicsandpho-tonics,Nano-ParticlesPhysics,Bio-physics,OriginsofLife,Astronomy,ElementaryParticlesPhysics.Teaching,researchassistantships,andfellowshipsareavailable.Application:::[e-mail]#301#33(2004)4