9 September 2002 Orthogonality of Zernike polynomials
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Abstract
Zernike polynomials are an orthogonal set over a unit circle and are often used to represent surface distortions from FEA analyses. There are several reasons why these coefficients may lose their orthogonality in an FEA analysis. The effects, their importance, and techniques for identifying and improving orthogonality are discussed. Alternative representations are presented.
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Victor L. Genberg, Gregory J. Michels, Keith B. Doyle, "Orthogonality of Zernike polynomials", Proc. SPIE 4771, Optomechanical Design and Engineering 2002, (9 September 2002); doi: 10.1117/12.482169; https://doi.org/10.1117/12.482169
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KEYWORDS
Monochromatic aberrations

Zernike polynomials

Spherical lenses

Zemax

Finite element methods

Chemical elements

Mirrors

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