Measuring the profile of a simulated machined aspherical surface using a nonconventional optimization algorithm

Juan Jaime Sanchez-Escobar; Liliana Barbosa Santillán; Javier Vargas-Ubera; Javier Salinas Luna; Héctor Guillen Bonilla

doi:10.1117/1.2968270

1 August 2008 Measuring the profile of a simulated machined aspherical surface using a nonconventional optimization algorithm

Juan Jaime Sanchez-Escobar, Liliana Barbosa Santillán, Javier Vargas-Ubera, Javier Salinas Luna, Héctor Guillen Bonilla

Author Affiliations +

Optical Engineering, Vol. 47, Issue 8, 083601 (August 2008). https://doi.org/10.1117/1.2968270

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.

©(2008) Society of Photo-Optical Instrumentation Engineers (SPIE)

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Juan Jaime Sanchez-Escobar, Liliana Barbosa Santillán, Javier Vargas-Ubera, Javier Salinas Luna, and Héctor Guillen Bonilla "Measuring the profile of a simulated machined aspherical surface using a nonconventional optimization algorithm," Optical Engineering 47(8), 083601 (1 August 2008). https://doi.org/10.1117/1.2968270

Published: 1 August 2008

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