Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

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

Not Accessible

Your library or personal account may give you access

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.

© 1996 Optical Society of America

Full Article  |  PDF Article
More Like This
Numerical calculation of fractional Fourier transforms with a single fast-Fourier-transform algorithm

Francisco J. Marinho and Luı́s M. Bernardo
J. Opt. Soc. Am. A 15(8) 2111-2116 (1998)

Extended fractional Fourier transforms

Jianwen Hua, Liren Liu, and Guoqiang Li
J. Opt. Soc. Am. A 14(12) 3316-3322 (1997)

Fast numerical algorithm for the linear canonical transform

Bryan M. Hennelly and John T. Sheridan
J. Opt. Soc. Am. A 22(5) 928-937 (2005)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (2)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (23)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved