OSA's Digital Library

Optics Letters

Optics Letters

| RAPID, SHORT PUBLICATIONS ON THE LATEST IN OPTICAL DISCOVERIES

  • Vol. 29, Iss. 24 — Dec. 15, 2004
  • pp: 2840–2842

Gram-Schmidt orthogonalization of the Zernike polynomials on apertures of arbitrary shape

Robert Upton and Brent Ellerbroek  »View Author Affiliations


Optics Letters, Vol. 29, Issue 24, pp. 2840-2842 (2004)
http://dx.doi.org/10.1364/OL.29.002840


View Full Text Article

Acrobat PDF (407 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

An orthonormal hexagonal Zernike basis set is generated from circular Zernike polynomials apodized by a hexagonal mask by use of the Gram–Schmidt orthogonalization technique. Results for the first 15 hexagonal Zernike polynomials are shown. The Gram–Schmidt orthogonalization technique presented can be extended to both apertures of arbitrary shape and other basis functions.

© 2004 Optical Society of America

OCIS Codes
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(260.0260) Physical optics : Physical optics

Citation
Robert Upton and Brent Ellerbroek, "Gram-Schmidt orthogonalization of the Zernike polynomials on apertures of arbitrary shape," Opt. Lett. 29, 2840-2842 (2004)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-29-24-2840

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. 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