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. 19, Iss. 3 — Mar. 1, 2002
  • pp: 481–484

Finite-mode analysis by means of intensity information in fractional optical systems

Tatiana Alieva and Martin J. Bastiaans  »View Author Affiliations


JOSA A, Vol. 19, Issue 3, pp. 481-484 (2002)
http://dx.doi.org/10.1364/JOSAA.19.000481


View Full Text Article

Enhanced HTML    Acrobat PDF (127 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

It is shown how a coherent optical signal that contains only a finite number of Hermite–Gauss modes can be reconstructed from the knowledge of its Radon–Wigner transform—associated with the intensity distribution in a fractional-Fourier-transform optical system—at only two transversal points. The proposed method can be generalized to any fractional system whose generator transform has a complete orthogonal set of eigenfunctions.

© 2002 Optical Society of America

OCIS Codes
(070.1170) Fourier optics and signal processing : Analog optical signal processing
(070.2590) Fourier optics and signal processing : ABCD transforms
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(100.5070) Image processing : Phase retrieval
(200.1130) Optics in computing : Algebraic optical processing

History
Original Manuscript: April 12, 2001
Revised Manuscript: July 11, 2001
Manuscript Accepted: July 26, 2001
Published: March 1, 2002

Citation
Tatiana Alieva and Martin J. Bastiaans, "Finite-mode analysis by means of intensity information in fractional optical systems," J. Opt. Soc. Am. A 19, 481-484 (2002)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-19-3-481

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