Experimental interferogram analysis using an automatic polynomial fitting method based on evolutionary computation

Juan Jaime Sanchez-Escobar; Sergio Vazquez-Montiel

doi:10.1117/1.1886845

1 April 2005 Experimental interferogram analysis using an automatic polynomial fitting method based on evolutionary computation

Juan Jaime Sanchez-Escobar, Sergio Vazquez-Montiel

Author Affiliations +

Optical Engineering, Vol. 44, Issue 4, 045604 (April 2005). https://doi.org/10.1117/1.1886845

Abstract

We report on the experimental verification of an alternative method to the conventional least-squares fit method to obtain the phase of real interferograms. The proposed method performs an automatic polynomial fitting by solving an optimization problem, where an objective function is minimized and the solution to the irradiance equation is considered as an inverse problem. In this work, we consider fundamental concepts by comparing the performance of the least-squares fit method and the evolutionary algorithm. It is important to point out that the experimental verification of interferograms with the proposed method is applied to confirm the quality of some manufactured optical surfaces at the Instituto Nacional de Astrofísica, Optica y Electrónica.

©(2005) Society of Photo-Optical Instrumentation Engineers (SPIE)

Citation Download Citation

Juan Jaime Sanchez-Escobar and Sergio Vazquez-Montiel "Experimental interferogram analysis using an automatic polynomial fitting method based on evolutionary computation," Optical Engineering 44(4), 045604 (1 April 2005). https://doi.org/10.1117/1.1886845

Published: 1 April 2005

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