OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 25, Iss. 3 — Mar. 1, 2008
  • pp: 647–652

Uncertainty principles in linear canonical transform domains and some of their implications in optics

Adrian Stern  »View Author Affiliations


JOSA A, Vol. 25, Issue 3, pp. 647-652 (2008)
http://dx.doi.org/10.1364/JOSAA.25.000647


View Full Text Article

Enhanced HTML    Acrobat PDF (133 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

The linear canonical transform (LCT) is the name of a parameterized continuum of transforms that include, as particular cases, many widely used transforms in optics such as the Fourier transform, fractional Fourier transform, and Fresnel transform. It provides a generalized mathematical tool for representing the response of any first-order optical system in a simple and insightful way. In this work we present four uncertainty relations between LCT pairs and discuss their implications in some common optical systems.

© 2008 Optical Society of America

OCIS Codes
(050.1960) Diffraction and gratings : Diffraction theory
(060.2330) Fiber optics and optical communications : Fiber optics communications
(350.6980) Other areas of optics : Transforms

ToC Category:
Diffraction and Gratings

History
Original Manuscript: November 11, 2007
Revised Manuscript: December 24, 2007
Manuscript Accepted: January 2, 2008
Published: February 12, 2008

Citation
Adrian Stern, "Uncertainty principles in linear canonical transform domains and some of their implications in optics," J. Opt. Soc. Am. A 25, 647-652 (2008)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-25-3-647

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
Log in to access OSA Member Subscription

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
Log in to access OSA Member Subscription

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
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited