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16 March 2015 Optical surface evaluation by correlating bi-Ronchigram images
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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.
CC BY: © The Authors. Published by SPIE under a Creative Commons Attribution 4.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.
Alberto Cordero Dávila and Jorge González García "Optical surface evaluation by correlating bi-Ronchigram images," Optical Engineering 54(3), 034108 (16 March 2015). https://doi.org/10.1117/1.OE.54.3.034108
Published: 16 March 2015
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CITATIONS
Cited by 6 scholarly publications.
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KEYWORDS
Mirrors

Ronchi rulings

Genetic algorithms

Spherical lenses

Optical engineering

Charge-coupled devices

Computer simulations

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