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. 16, Iss. 1 — Jan. 1, 1999
  • pp: 97–105

Numerical optimization of phase-only elements based on the fractional Talbot effect

Markus Testorf, Victor Arrizón, and Jorge Ojeda-Castañeda  »View Author Affiliations


JOSA A, Vol. 16, Issue 1, pp. 97-105 (1999)
http://dx.doi.org/10.1364/JOSAA.16.000097


View Full Text Article

Acrobat PDF (433 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Based on the matrix description of the fractional Talbot effect, a new and effective method to numerically optimize diffractive optical elements that work in the Fresnel diffraction regime is described. When the investigation is restricted to spatially quantized phase-only gratings, diffraction can be described in terms of the fractional Talbot effect and the diffraction amplitude is efficiently evaluated from a finite set of sampling points. As an illustrating example we numerically optimize Talbot array illuminators. Our results show that a limited number of discrete phase levels does not imply a limited compression ratio but does lead to a reduced diffraction efficiency. Experimental results obtained from lithographically fabricated surface-relief gratings are compared with our theoretical designs.

© 1999 Optical Society of America

OCIS Codes
(050.0050) Diffraction and gratings : Diffraction and gratings
(050.1380) Diffraction and gratings : Binary optics
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(070.6760) Fourier optics and signal processing : Talbot and self-imaging effects
(090.0090) Holography : Holography
(090.1970) Holography : Diffractive optics

Citation
Markus Testorf, Victor Arrizón, and Jorge Ojeda-Castañeda, "Numerical optimization of phase-only elements based on the fractional Talbot effect," J. Opt. Soc. Am. A 16, 97-105 (1999)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-16-1-97

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