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. 7, Iss. 6 — Jun. 1, 1990
  • pp: 977–981

Coordinate transformations realizable with multiple holographic optical elements

M. A. Stuff and J. N. Cederquist  »View Author Affiliations


JOSA A, Vol. 7, Issue 6, pp. 977-981 (1990)
http://dx.doi.org/10.1364/JOSAA.7.000977


View Full Text Article

Enhanced HTML    Acrobat PDF (550 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Holographic optical elements that perform one-to-one coordinate transformations can be designed by using the stationary phase approximation. All coordinate transformations that are sufficiently differentiable can be decomposed into two transformations in series and therefore performed by using two holographic elements. Although the method presented here for designing the two required holographic elements is not explicit for the general case, a useful necessary condition for the decomposition is given. A simple explicit solution is given for an example for which the necessary equations for the first of the two serial transformations are separable.

© 1990 Optical Society of America

History
Original Manuscript: May 15, 1989
Manuscript Accepted: January 29, 1990
Published: June 1, 1990

Citation
M. A. Stuff and J. N. Cederquist, "Coordinate transformations realizable with multiple holographic optical elements," J. Opt. Soc. Am. A 7, 977-981 (1990)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-7-6-977

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.

If you are accessing the full text through a member bundle, please use the Enhanced HTML link to gain access to the citation lists and other restricted features. Note that accessing both the PDF and HTML versions of an article will count as only one download against your account.

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.

If you are accessing the full text through a member bundle, please use the Enhanced HTML link to gain access to the citation lists and other restricted features. Note that accessing both the PDF and HTML versions of an article will count as only one download against your account.

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.

If you wish to use one of your free member downloads to view the figures, click "Enhanced HTML" above and access the figures from the article itself or from the navigation tab.

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.

If you are accessing the full text through a member bundle, please use the Enhanced HTML link to gain access to the citation lists and other restricted features. Note that accessing both the PDF and HTML versions of an article will count as only one download against your account.

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