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Optical Engineering • Open Access

Optical surface evaluation by correlating bi-Ronchigram images

Paper Abstract

By correlating bi-Ronchigram images, surface errors without any supposed symmetry are evaluated. No approximation and interference orders are needed. First, only one experimental bi-Ronchigram (Ronchigram with a square grid) image was recorded. Second, given a surface parameter set (curvature radius, conic constant, and/or symmetric and asymmetric deformation coefficients), a bi-Ronchigram image is simulated and correlated with the bi-Ronchigram experimental image. Third, genetic algorithms are used to find the parameters for which the correlation coefficient reaches its maximum value. Finally, the parameters of the experimental surface are estimated. Evaluations of curvature radius, conic constant, and error functions for reflecting surfaces will be shown.

Paper Details

Date Published: 16 March 2015
PDF: 5 pages
Opt. Eng. 54(3) 034108 doi: 10.1117/1.OE.54.3.034108
Published in: Optical Engineering Volume 54, Issue 3
Show Author Affiliations
Alberto Cordero Dávila, Benemérita Univ. Autónoma de Puebla (México)
Jorge González García, Univ. Tecnológica de la Mixteca (México)

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