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

Fractional Fourier transforms and their optical implementation. II

Not Accessible

Your library or personal account may give you access

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
More Like This
Fractional Fourier transforms and their optical implementation: I

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

Image rotation, Wigner rotation, and the fractional Fourier transform

Adolf W. Lohmann
J. Opt. Soc. Am. A 10(10) 2181-2186 (1993)

Eigenfunctions of the complex fractional Fourier transform obtained in the context of quantum optics

Hong-Yi Fan, Li-yun Hu, and Ji-suo Wang
J. Opt. Soc. Am. A 25(4) 974-978 (2008)

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 (13)

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 (58)

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