菲涅耳衍射及柯林斯公式的快速傅里叶变换计算.pdfVIP

12 5 2001 5 Journal of Opto l ctronics Las r Vol. 12No . 5M ay 200 1 : 1005-0086( 200 1) 05-0529-04 * a 李俊昌 ( , 650093) : ( FFT) , , , FFT , , FFT , : ; ; : O436. 1; O438. 2: A The Accurate Calculation of Fresnel Diffraction and CollinsøFormula by Using the Fast Fourier Transform LI Jun-chang ( Las r Application Institut , Kunm ing Univ rsity of Sci nc and T chnology, Kunming 650093, China) Abstract: In ord r to r duc th influ nc of th mix ing and ov rlap of fr qu ncy sp ct rum on th ( ) , calculat d r sult in th calculation of th fast Fouri r transform FFT of diffraction th int rval of . , sampling should b tak n t o b as small as possibl How v r a many numb r of sampling l ads to gr at difficult in g n ral to FFT program w ith finit comput r m mory. In t his pap r, a rror t rac calculat ion m thd is propos d bas d on th study of t h mix ing and ov rlap n rgy of fr qu ncy sp ctrum and th . , Fr sn l diffraction int gral U sing our m t hod th FFT program n ds a littl of comput r m mory to finish th calculation of Fr sn l diffract ion w ith th arbitrary int rval of sampling and th d mand d pr cision. This m thod can b xt nd d conv ni ntly t o Collinsøformula . Key words: calculat ion of diffraction; Fr sn l diffraction; Fouri r t ransform , 1