Study of the factors that affect the correlation behavior during the evaluation of interferograms

B. Villalobos-Mendoza, D. Aguirre-Aguirre, F. Granados-Agustín

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


In recent years, the correlation coefficient has been used as a tool for comparison between experimental and synthetic interferograms in algorithms of evaluation, in the areas of optical fabrication and testing. This coefficient has been used with the aim of eliminating the observer criterion during the fabrication process, and in this sense, to make a quantitative test to compare experimental and synthetic interferograms using the correlation as a parameter of evaluation. However, this coefficient is dramatically affected when laboratory conditions are not adequate. Therefore, in this work, we present a detailed analysis of the correlation behavior when interferograms with different values of visibility, Gaussian noise, and background illumination are evaluated/correlated. To analyze the correlation behavior, we simulated different interferograms, where these parameters were varied and examined how they affect the interference patterns. We found that a bad illumination dramatically affects the value of correlation, causing it to decrease to 0.1046, with σ = 0.1.

Original languageEnglish
Article number104111
Pages (from-to)1
JournalOptical Engineering
Issue number10
Publication statusPublished - 1 Oct 2018
Externally publishedYes

Bibliographical note

Funding Information:
We are grateful for the financial support for this project from the Dirección General de Asuntos del Personal Académico (DGAPA)‐UNAM, through the grant PAPIIT No: TA100217 “Sistema de medición de objetos reflectores uti-lizados en la industria automotriz basado en la prueba de pantallas nulas y algoritmos probabilistas.” B.V.-M. would thank the CONACyT for the postdoctoral scholarship granted.

Publisher Copyright:
© 2018 Society of Photo-Optical Instrumentation Engineers (SPIE).

Copyright 2018 Elsevier B.V., All rights reserved.

All Science Journal Classification (ASJC) codes

  • Atomic and Molecular Physics, and Optics
  • General Engineering


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