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Optical Engineering

Wavefront fitting with discrete orthogonal polynomials in a unit radius circle
Author(s): Daniel Malacara-Hernandez; Martin Carpio-Valadez; Jose Javier Sanchez-Mondragon
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Paper Abstract

Zernike polynomials have been used for some time to fit wavefront deformation measurements to a two-dimensional polynomial. Their orthogonality properties make them ideal for this kind of application. The typical procedure consists of first obtaining the fitting using x-y polynomials and then transforming them to Zernike polynomials by means of a matrix multiplication. Here, we present a new method for making this fitting faster by using a set of orthogonal polynomials on a discrete base of data points on a unitary circle.

Paper Details

Date Published: 1 June 1990
PDF: 4 pages
Opt. Eng. 29(6) doi: 10.1117/12.55629
Published in: Optical Engineering Volume 29, Issue 6
Show Author Affiliations
Daniel Malacara-Hernandez, Ctr. de Investigaciones en Optica, A.C. (Mexico)
Martin Carpio-Valadez, Centro de Investigaciones en Optica, A.C. (Mexico)
Jose Javier Sanchez-Mondragon, Centro de Investigaciones en Optica, A.C. (Mexico)

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