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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


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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


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References

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