Document Detail


Orthonormal polynomials for hexagonal pupils.
MedLine Citation:
PMID:  16880856     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
The problem of determining the orthonormal polynomials for hexagonal pupils by the Gram-Schmidt orthogonalization of Zernike circle polynomials is revisited, and closed-form expressions for the hexagonal polynomials are given. We show how the orthonormal coefficients are related to the corresponding Zernike coefficients for a hexagonal pupil and emphasize that it is the former that should be used for any quantitative wavefront analysis for such a pupil.
Authors:
Virendra N Mahajan; Guang-ming Dai
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Publication Detail:
Type:  Journal Article    
Journal Detail:
Title:  Optics letters     Volume:  31     ISSN:  0146-9592     ISO Abbreviation:  Opt Lett     Publication Date:  2006 Aug 
Date Detail:
Created Date:  2006-08-01     Completed Date:  2006-10-17     Revised Date:  2008-07-22    
Medline Journal Info:
Nlm Unique ID:  7708433     Medline TA:  Opt Lett     Country:  United States    
Other Details:
Languages:  eng     Pagination:  2462-4     Citation Subset:  -    
Affiliation:
The Aerospace Corporation, 2350 East El Sugundo Boulevard, El Sugundo, CA 90245, USA. virendra.n.mahajan@aero.org
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Erratum In:
Opt Lett. 2008 May 15;33(10):1077

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