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. 24, Iss. 11 — Nov. 1, 2007
  • pp: 3658–3665

Properties of the linear canonical integral transformation

Tatiana Alieva and Martin J. Bastiaans  »View Author Affiliations


JOSA A, Vol. 24, Issue 11, pp. 3658-3665 (2007)
http://dx.doi.org/10.1364/JOSAA.24.003658


View Full Text Article

Enhanced HTML    Acrobat PDF (143 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We provide a general expression and different classification schemes for the general two-dimensional canonical integral transformations that describe the propagation of coherent light through lossless first-order optical systems. Main theorems for these transformations, such as shift, scaling, derivation, etc., together with the canonical integral transforms of selected functions, are derived.

© 2007 Optical Society of America

OCIS Codes
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(070.4690) Fourier optics and signal processing : Morphological transformations
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects
(080.2730) Geometric optics : Matrix methods in paraxial optics
(110.6980) Imaging systems : Transforms
(120.4820) Instrumentation, measurement, and metrology : Optical systems
(350.6980) Other areas of optics : Transforms

ToC Category:
Fourier Optics and Signal Processing

History
Original Manuscript: May 4, 2007
Revised Manuscript: September 19, 2007
Manuscript Accepted: October 2, 2007
Published: October 30, 2007

Citation
Tatiana Alieva and Martin J. Bastiaans, "Properties of the linear canonical integral transformation," J. Opt. Soc. Am. A 24, 3658-3665 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-11-3658

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