Abstract

A function that is its own Fourier transform is coined a self-Fourier function. The complete set of self-Fourier functions has been recently defined by Caola [J. Phys. A: Math. Nucl. Gen. 24, L1143– L1144 (1991)]. We study the behavior of a self-Fourier function as a self-imaging function. The space–bandwidth product of these functions is studied. An illustration of a self-Fourier function that was a Wigner distribution function is given. Some experimental results are also presented.

© 1994 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Self-Fourier objects and other self-transform objects

Adolf W. Lohmann and David Mendlovic
J. Opt. Soc. Am. A 9(11) 2009-2012 (1992)

Wigner formulation of optical processing with light of arbitrary coherence

Avi Pe’er, Dayong Wang, Adolf W. Lohmann, and Asher A. Friesem
Appl. Opt. 40(2) 249-256 (2001)

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 (6)

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 (38)

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