New analytic results for the Zernike circle polynomials from a basic result in the Nijboer-Zernike diffraction theory

Several quantities related to the Zernike circle polynomials admit an expression, via the basic identity in the diffraction theory of Nijboer and Zernike, as an infinite integral involving the product of two or three Bessel functions. In this paper these integrals are identified and evaluated explic...

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Bibliographic Details

Published in:	Journal of the European Optical Society-Rapid Publications
Main Author:	Janssen A. J. E. M.
Format:	Article
Language:	English
Published:	EDP Sciences 2011-01-01
Subjects:	diffraction zernike polynomals scaling shifting optical transfer function
Online Access:	https://jeos.edpsciences.org/articles/jeos/pdf/2011/01/jeos20110611028.pdf