角谱衍射公式的快速傅里叶变换计算及在数字全息波面重建中的应用

FFT Computation of Angular Spectrum Diffraction Formula and its Application in Wavefront Reconstruction of Digital Holography

从取样定理出发,对角谱衍射公式及逆运算的快速傅里叶变换(FFT)进行了研究。基于研究结果,讨论数字全息研究中物光通过一个光学系统到达CCD探测器的波面重建问题,提出物光场的逆运算追迹重建及像空间波面重建两种方法。最后,通过数字全息实验及波面重建计算,对两种波面重建方法的可行性作出证明。

Starting from the sampling theorem,the fast Fourier transform （FFT） computation of angular spectrum diffraction formula and its inverse operation are studied. Based on the studied results,the wavefront reconstruction problem in digital holography,that is,the object light passing through an optical system and then reaching CCD detector,is studied. Two methods are proposed： inverse operation tracking reconstruction of the object wave field and wavefront reconstruction in image space. Finally,the feasibility of these two methods is proved by digital holography experiments and the calculation of wavefront reconstruction.