title: Fractional-Fourier-transform calculation through the fast-Fourier-transform algorithm.
abstract: A method for the calculation of the fractional Fourier transform (FRT) by means of the fast Fourier transform (FFT) algorithm is presented. The process involves mainly two FFT's in cascade; thus the process has the same complexity as this algorithm. The method is valid for fractional orders varying from -1 to 1. Scaling factors for the FRT and Fresnel diffraction when calculated through the FFT are discussed.
authors.forename: J
authors.initials: J
authors.lastname: García
authors.forename: D
authors.initials: D
authors.lastname: Mas
authors.forename: R G
authors.initials: RG
authors.lastname: Dorsch