Review and comparison of different representations of Zernike polynomials

Daniel Malacara-Doblado and Daniel Malacara-Hernández
Centro de Investigaciones en Optica, León, Gto., México

Dedicated to Prof Maria J Yzuel

Zernike polynomials had been used for many years. They had been extremely useful to analytically represent the shape and local deformations of optical surfaces or wavefronts. Many instruments and commercial softwares had been using them for many years. However, due to many practical and computational reasons, they have slightly different structures and orderings. When using these polynomials, it is quite important to know these differences with detail in order to compare the results obtained with different instruments or commercial softwares. In this article, we describe these differences, explaining the reasons for them. © Anita Publications. All rights reserved.
Keywords: Wavefront aberrations, Seidel aberrations, Zernike polynomials.

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Method: Single- anonymous; Screened for Plagiarism? Yes
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