Fresnel diffraction calculation through the fast fractional Fourier transform

摘要

Abstract: A new method for the calculation of the Fresnel diffraction patterns through a fast fractional Fourier transform (FRT) is presented. The FRT can be efficiently calculated for any order by using the fast-Fourier transform algorithm. The resemblances between the FRT and the Fresnel integrals allow the use of that algorithm to calculate efficiently the Fresnel integral of any object, with independence of its shape.!7