Fractional-Fourier-transform calculation through the fast-Fourier-transform algorithm

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 var...

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Bibliographic Details
Published in:Applied optics (2004) 1996-12, Vol.35 (35), p.7013-7018
Main Authors: García, J, Mas, D, Dorsch, R G
Format: Article
Language:English
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Summary: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.
ISSN:1559-128X
DOI:10.1364/AO.35.007013