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Optical Engineering • Open Access

Reconstruction of the wavefront aberration from real interferometric data using a hybrid evolutionary optimization algorithm with Zernike polynomials
Author(s): Juan Jaime Sánchez-Escobar; Liliana I. Barbosa Santillán

Paper Abstract

This paper describes the use of a hybrid evolutionary optimization algorithm (HEOA) for computing the wavefront aberration from real interferometric data. By finding the near-optimal solution to an optimization problem, this algorithm calculates the Zernike polynomial expansion coefficients from a Fizeau interferogram, showing the validity for the reconstruction of the wavefront aberration. The proposed HEOA incorporates the advantages of both a multimember evolution strategy and locally weighted linear regression in order to minimize an objective function while avoiding premature convergence to a local minimum. The numerical results demonstrate that our HEOA is robust for analyzing real interferograms degraded by noise.

Paper Details

Date Published: 10 September 2015
PDF: 10 pages
Opt. Eng. 54(9) 094102 doi: 10.1117/1.OE.54.9.094102
Published in: Optical Engineering Volume 54, Issue 9
Show Author Affiliations
Juan Jaime Sánchez-Escobar, Ctr. de Enseñanza Técnica Industrial (Mexico)
Liliana I. Barbosa Santillán, Univ. de Guadalajara (Spain)

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