Abstract

In the aberration analysis of a circular wavefront, Zernike circle polynomials are used to obtain its wave aberration coefficients. To obtain these coefficients from the wavefront slope data, we need vector functions that are orthogonal to the gradients of the Zernike polynomials, and are irrotational so as to propagate minimum uncorrelated random noise from the data to the coefficients. In this paper, we derive such vector functions, which happen to be polynomials.

© 2017 Optical Society of America

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Corrections

Virendra N. Mahajan and Eva Acosta, "Vector polynomials for direct analysis of circular wavefront slope data: publisher’s note," J. Opt. Soc. Am. A 34, 1990-1990 (2017)
https://www.osapublishing.org/josaa/abstract.cfm?uri=josaa-34-11-1990

22 September 2017: A typographical correction was made to paragraph 2 of page 1912.

9 October 2017: A typographical correction was made to Eq. (2).


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