Zernike polynomials: a guide |
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| Authors: | Vasudevan Lakshminarayanan Andre Fleck |
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| Affiliation: | 1. School of Optometry , University of Waterloo , Waterloo , Ontario , Canada;2. Michigan Center for Theoretical Physics , University of Michigan , Ann Arbor , MI , USA vengu@uwaterloo.ca;4. Grand River Hospital , Kitchener , Ontario , Canada |
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| Abstract: | In this paper we review a special set of orthonormal functions, namely Zernike polynomials which are widely used in representing the aberrations of optical systems. We give the recurrence relations, relationship to other special functions, as well as scaling and other properties of these important polynomials. Mathematica code for certain operations are given in the Appendix. |
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| Keywords: | optical aberrations Zernike polynomials special functions aberrometry |
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