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Opt Lett. 2006 Aug 15;31(16):2462-4.

Orthonormal polynomials for hexagonal pupils.

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1
The Aerospace Corporation, 2350 East El Sugundo Boulevard, El Sugundo, CA 90245, USA. virendra.n.mahajan@aero.org

Erratum in

  • Opt Lett. 2008 May 15;33(10):1077.

Abstract

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.

PMID:
16880856
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