Abstract

Direct calculation of fractional Fourier transforms from the expressions derived for their optical implementation is laborious. An extension of the discrete Fourier transform would have only O(N2) computational complexity. We define such a system, offer a general way to compute the fractional discrete Fourier transform matrix, and numerically validate the algorithm.

© 1996 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Improved discrete fractional Fourier transform

Soo-Chang Pei and Min-Hung Yeh
Opt. Lett. 22(14) 1047-1049 (1997)

Geometry and dynamics in the fractional discrete Fourier transform

Kurt Bernardo Wolf and Guillermo Krötzsch
J. Opt. Soc. Am. A 24(3) 651-658 (2007)

Discrete fractional Fourier transform as a fast algorithm for evaluating the diffraction pattern of pulsed radiation

Magdy Tawfik Hanna, Amr Mohamed Shaarawi, Nabila Philip Attalla Seif, and Waleed Abd El Maguid Ahmed
J. Opt. Soc. Am. A 28(8) 1610-1619 (2011)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

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

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 OSA member, or as an authorized user of your institution.

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

Equations (31)

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

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

Metrics

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

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