Instrumentation, Techniques, and Measurement

Using a single-cube beam-splitter as a fringe pattern generator within a structured-light projection system for surface metrology

[+] Author Affiliations
Juan Antonio Rayas, Raul R. Cordero

Universidad de Santiago de Chile, Santiago, Chile

Miguel León-Rodríguez

Universidad de Santiago de Chile, Santiago, Chile

Universidad Politécnica de Guanajuato, Cortazar, Guanajuato, México

Amalia Martínez

Centro de Investigaciones en Óptica, Guanajuato, México

Katia Genovese

University of Basilicata, School of Engineering, Potenza, Italy

Orlando M. Medina

Universidad Politécnica de Guanajuato, Cortazar, Guanajuato, México

Opt. Eng. 56(4), 044103 (Apr 12, 2017). doi:10.1117/1.OE.56.4.044103
History: Received December 16, 2016; Accepted March 27, 2017
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Abstract.  We show how a sinusoidal fringe pattern can be obtained by using a single cube beam splitter based on the Gates’ interferometer configuration. When an expanded and collimated laser beam hits the binding edge of a nonpolarizing cube beam splitter parallel to the splitter coating, it generates interference fringes at the exit due to the internal reflections and refractions of the laser beam passing through the cube. Unlike common digital projection systems, the proposed optical arrangement generates a perfectly sinusoidal and continuous fringe pattern, minimizing the problems associated with the discretization of a synthetic digital signal. The fast Fourier transform and phase-shifting techniques are used to demodulate the captured fringe patterns. Experimental results are presented for the three-dimensional shape reconstruction of the relief of a coin and of a spherical indentation on a piece of aluminum with a maximum height of about 150  μm. In addition, we evaluate the accuracy and resolution of the proposed measuring device: shape reconstruction accuracy is about 1.4% and axial resolution is 0.15  μm. Due to its simple and compact setup, the proposed system is particularly suited to be miniaturized.

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© 2017 Society of Photo-Optical Instrumentation Engineers

Citation

Juan Antonio Rayas ; Miguel León-Rodríguez ; Amalia Martínez ; Katia Genovese ; Orlando M. Medina, et al.
"Using a single-cube beam-splitter as a fringe pattern generator within a structured-light projection system for surface metrology", Opt. Eng. 56(4), 044103 (Apr 12, 2017). ; http://dx.doi.org/10.1117/1.OE.56.4.044103


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