Abstract

The linear transform kernel for fractional Fourier transforms is derived. The spatial resolution and the space–bandwidth product for propagation in graded-index media are discussed in direct relation to fractional Fourier transforms, and numerical examples are presented. It is shown how fractional Fourier transforms can be made the basis of generalized spatial filtering systems: Several filters are interleaved between several fractional transform stages, thereby increasing the number of degrees of freedom available in filter synthesis.

© 1993 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Fractional Fourier transforms and their optical implementation: I

David Mendlovic and Haldun M. Ozaktas
J. Opt. Soc. Am. A 10(9) 1875-1881 (1993)

Ince–Gaussian series representation of the two-dimensional fractional Fourier transform

Miguel A. Bandres and Julio C. Gutiérrez-Vega
Opt. Lett. 30(5) 540-542 (2005)

Graded-index fibers, Wigner-distribution functions, and the fractional Fourier transform

David Mendlovic, Haldun M. Ozaktas, and Adolf W. Lohmann
Appl. Opt. 33(26) 6188-6193 (1994)

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

Figures (13)

You do not have subscription access to this journal. Figure files 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 (58)

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