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. 20, Iss. 2 — Feb. 1, 2003
  • pp: 209–217

Matrix method to find a new set of Zernike coefficients from an original set when the aperture radius is changed

Charles E. Campbell  »View Author Affiliations


JOSA A, Vol. 20, Issue 2, pp. 209-217 (2003)
http://dx.doi.org/10.1364/JOSAA.20.000209


View Full Text Article

Enhanced HTML    Acrobat PDF (145 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A matrix method is developed that allows a new set of Zernike coefficients that describe a surface or wave front appropriate for a new aperture size to be found from an original set of Zernike coefficients that describe the same surface or wave front but use a different aperture size. The new set of coefficients, arranged as elements of a vector, is formed by multiplying the original set of coefficients, also arranged as elements of a vector, by a conversion matrix formed from powers of the ratio of the new to the original aperture and elements of a matrix that forms the weighting coefficients of the radial Zernike polynomial functions. In developing the method, a new matrix method for expressing Zernike polynomial functions is introduced and used. An algorithm is given for creating the conversion matrix along with computer code to implement the algorithm.

© 2003 Optical Society of America

OCIS Codes
(000.3870) General : Mathematics
(220.1010) Optical design and fabrication : Aberrations (global)
(330.4460) Vision, color, and visual optics : Ophthalmic optics and devices

History
Original Manuscript: June 18, 2002
Revised Manuscript: August 26, 2002
Manuscript Accepted: August 26, 2002
Published: February 1, 2003

Citation
Charles E. Campbell, "Matrix method to find a new set of Zernike coefficients from an original set when the aperture radius is changed," J. Opt. Soc. Am. A 20, 209-217 (2003)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-20-2-209


Sort:  Author  |  Year  |  Journal  |  Reset  

References

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited