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Optical Engineering

Measuring the profile of a simulated machined aspherical surface using a nonconventional optimization algorithm
Author(s): Juan Jaime Sanchez-Escobar; Liliana Barbosa Santillán; Javier Vargas-Ubera; Javier Salinas Luna; Héctor Guillen Bonilla
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Paper Abstract

We show an optimization method based on an evolutive algorithm to obtain the profile of a simulated machined aspherical surface starting from a set of noisy discrete Cartesian coordinates (x,y,z), where the experimental coordinates x and y are used to simulate the sagitta z of the analyzed surface. By minimizing an objective function, the proposed method fits the sagitta function to the set of noisy discrete coordinates; thus the geometrical parameters of the simulated surface under test, such as the paraxial radius of curvature, the conic constant, and the aspheric deformation constants, can be obtained. Numerical results show that our method can be successfully applied to retrieve the simulated machined surface profile.

Paper Details

Date Published: 1 August 2008
PDF: 8 pages
Opt. Eng. 47(8) 083601 doi: 10.1117/1.2968270
Published in: Optical Engineering Volume 47, Issue 8
Show Author Affiliations
Juan Jaime Sanchez-Escobar, Ctr. de Enseñanza Técnica Industrial (Mexico)
Liliana Barbosa Santillán, Univ. Politécnica de Madrid (Spain)
Javier Vargas-Ubera, Univ. Autónoma de la Ciudad de Mexico (Mexico)
Javier Salinas Luna, Univ. de Guadalajara (Mexico)
Héctor Guillen Bonilla, Univ. de Guadalajara (Mexico)

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