OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Editor: Anthony J. Campillo
  • Vol. 31, Iss. 23 — Dec. 1, 2006
  • pp: 3432–3434

Symplectic wavelet transformation

Hong-yi Fan and Hai-liang Lu  »View Author Affiliations


Optics Letters, Vol. 31, Issue 23, pp. 3432-3434 (2006)
http://dx.doi.org/10.1364/OL.31.003432


View Full Text Article

Enhanced HTML    Acrobat PDF (70 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Usually a wavelet transform is based on dilated–translated wavelets. We propose a symplectic-transformed–translated wavelet family ψ r , s * ( z κ ) ( r , s are the symplectic transform parameters, s 2 r 2 = 1 , κ is a translation parameter) generated from the mother wavelet ψ and the corresponding wavelet transformation W ψ f ( r , s ; κ ) = ( d 2 z π ) f ( z ) ψ r , s * ( z κ ) . This new transform possesses well-behaved properties and is related to the optical Fresnel transform in quantum mechanical version.

© 2006 Optical Society of America

OCIS Codes
(000.3860) General : Mathematical methods in physics
(070.6020) Fourier optics and signal processing : Continuous optical signal processing

ToC Category:
Fourier Optics and Optical Signal Processing

History
Original Manuscript: July 21, 2006
Revised Manuscript: September 4, 2006
Manuscript Accepted: September 4, 2006
Published: November 9, 2006

Citation
Hong-yi Fan and Hai-liang Lu, "Symplectic wavelet transformation," Opt. Lett. 31, 3432-3434 (2006)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-31-23-3432

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