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

  • Vol. 18, Iss. 1 — Jan. 1, 2001
  • pp: 164–169

Optical implementation of second-order nonlinear Volterra operators with use of triple correlation

Zeev Zalevsky, Eran Gur, and David Mendlovic  »View Author Affiliations


JOSA A, Vol. 18, Issue 1, pp. 164-169 (2001)
http://dx.doi.org/10.1364/JOSAA.18.000164


View Full Text Article

Enhanced HTML    Acrobat PDF (301 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Following the Volterra theorem, every nonlinear operator can be implemented with a sum of integrals applied over the input. The second-order Volterra operator that describes many useful systems can be related to a single integral that is a projection of an operation called the triple correlation. This operation may be easily implemented optically and thus be incorporated into fast real-time nonlinear control systems. We present a theoretical investigation of the relation existing between the Volterra operators and the triple correlation as well as an experimental demonstration that validates the theory.

© 2001 Optical Society of America

OCIS Codes
(000.3870) General : Mathematics
(070.4340) Fourier optics and signal processing : Nonlinear optical signal processing
(070.4550) Fourier optics and signal processing : Correlators
(120.4820) Instrumentation, measurement, and metrology : Optical systems
(200.4560) Optics in computing : Optical data processing

History
Original Manuscript: February 7, 2000
Manuscript Accepted: July 25, 2000
Published: January 1, 2001

Citation
Zeev Zalevsky, Eran Gur, and David Mendlovic, "Optical implementation of second-order nonlinear Volterra operators with use of triple correlation," J. Opt. Soc. Am. A 18, 164-169 (2001)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-18-1-164

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. 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
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