Non-linear joint transform correlator for micro-displacement measurement using speckle patterns
DOI:
https://doi.org/10.17533/udea.redin.17037Keywords:
micro-displacements, nonlinear joint transform correlator, laser speckleAbstract
This work presents a procedure for measuring displacements of tens micrometer, in one and two dimensions, based on the correlation between two speckle patterns. For this purpose, two objective speckle patterns arerecorded by a digital camera -one before and one after the object has been moved- and placed in the input plane of nonlinear joint transform correlator.
Nonlinear transformation of the joint power spectrum allows a sharper correlation peak and a high signal to noise ratio. The autocorrelation peak coordinates of the first pattern are set as a reference for measuring shifts of the successive cross-correlation peak. One criterion for reliable measure is proposed. Results related with different distances sample-sensor and illuminating wavelengths at 632.8 nm and 543.5 nm are presented.
Downloads
References
R. Leach. Fundamental principles of engineering Nano-metrology. 1st ed. Ed. Elsevier Inc. Oxford, England. 2010. pp. 85-111.
G. Berkovic, E. Shafir. “Optical methods for distance and displacement measurements”. Adv. Optics and Photonics Vol. 4. 2012. pp. 441-471. DOI: https://doi.org/10.1364/AOP.4.000441
J. Duarte, F. Fernández, M. Moreno, J. Almerich, M. Andrés. “Metrología por fibra óptica para la detección de pequeños desplazamientos”. Rev. Fac. Ing. Univ. Antioquia. No. 56. 2010. pp. 151-159.
H. Tiziani, G. Pedrini. “From speckle pattern photography to digital holographic interferometry (invited)”. Appl. Opt. Vol. 52. 2013. pp. 30-44. DOI: https://doi.org/10.1364/AO.52.000030
J. Guerrero, C. Torres, O. Gualdron, Y. Torres, L. Salazar. “Micro-displacement by Means of Optoelectronic Nonlinear Joint Transform Correlation of Speckle Pattern”. Appl. Opt. Vol. 37. 1998. pp. 8153-8154. DOI: https://doi.org/10.1364/AO.37.008153
N. Gaggioli, J. Pomarico. “The speckle phenomenon”. H. Rabal, R. Braga (Jr) (editors). Dynamic Laser Speckle and Applications. 1st ed. Ed. CRC Press, Taylor & Francis Group, LLC. Boca Raton, FL. USA. 2009. pp. 1-19 DOI: https://doi.org/10.1201/9781315219080-1
T. Yoshimura. “Statistical properties of dynamic speckles”. J. Opt. Soc. Am. A. Vol. 3. 1986. pp. 1032- 1054. DOI: https://doi.org/10.1364/JOSAA.3.001032
Oulamara. “Subpixel speckle displacement measurement using a digital processing technique”. Journal of Modern Optics. Vol. 35. 1988. pp. 1201- 1211. DOI: https://doi.org/10.1080/09500348814551271
C. Gorecki, G. Tribillon. “Speckle displacement analysis by phase correlation using a SLM-based processor”. Journal of Modern Optics. Vol. 40. 1993. pp. 973-978. DOI: https://doi.org/10.1080/09500349314551041
B. Javidi. “Nonlinear Joint Transform Correlators” B. Javidi (editor). Real Time Optical Information Processing. 1st ed. Ed. Academic Press Inc. San Diego, CA, USA. 1994. pp. 115-183. DOI: https://doi.org/10.1016/B978-0-12-381180-6.50008-6
D. Psaltis, M. Neifeld, A. Yamamura, S. Kobayashi. “Optical memory disks in optical information processing”. Appl. Opt. Vol. 29. 1990. pp. 2038-2057. DOI: https://doi.org/10.1364/AO.29.002038
L. Valdivieso. Medida de micro-desplazamientos mediante correlación conjunta de patrones speckle. Undergraduate project, Universidad Industrial de Santander. Bucaramanga, Colombia. 2005. pp.15-69.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2018 Revista Facultad de Ingeniería
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Revista Facultad de Ingeniería, Universidad de Antioquia is licensed under the Creative Commons Attribution BY-NC-SA 4.0 license. https://creativecommons.org/licenses/by-nc-sa/4.0/deed.en
You are free to:
Share — copy and redistribute the material in any medium or format
Adapt — remix, transform, and build upon the material
Under the following terms:
Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
NonCommercial — You may not use the material for commercial purposes.
ShareAlike — If you remix, transform, or build upon the material, you must distribute your contributions under the same license as the original.
The material published in the journal can be distributed, copied and exhibited by third parties if the respective credits are given to the journal. No commercial benefit can be obtained and derivative works must be under the same license terms as the original work.