10 September 2015 Reconstruction of the wavefront aberration from real interferometric data using a hybrid evolutionary optimization algorithm with Zernike polynomials
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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.
Sánchez-Escobar and Barbosa Santillán: Reconstruction of the wavefront aberration from real interferometric data using a hybrid evolutionary optimization algorithm with Zernike polynomials
© The Authors. Published by SPIE under a Creative Commons Attribution 3.0 Unported License. Distribution or reproduction of this work in whole or in part requires full attribution of the original publication, including its DOI.
Juan Jaime Sánchez-Escobar, Liliana I. Barbosa Santillán, "Reconstruction of the wavefront aberration from real interferometric data using a hybrid evolutionary optimization algorithm with Zernike polynomials," Optical Engineering 54(9), 094102 (10 September 2015). https://doi.org/10.1117/1.OE.54.9.094102 . Submission:
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