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Single shot interferometry using a two-interferogram phase shifting algorithm

  • David-Ignacio Serrano-García

    David Serrano received his Bachelor’s degree from the Monterrey Institute of Technology and Higher Education in Physical Engineering (2008), his Master’s degree in Optics (2010) from the Centro de Investigaciones en Optical A.C. in Leon, Guanajuato, Mexico and his PhD at the same institution. His main research field involves optical metrology and polarization phase shifting techniques applied to single shot interferometry measurements. In 2011, he received a SPIE Scholarship for his potential contributions to the field of optics. In 2013 he made a research internship at the Center for Optical Research and Education (CORE), Utsunomiya University, Japan and currently occupies a post-doctorate position at CORE.

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    , Amalia Martinez-García

    Amalia Martínez-García received her BS degree in Physics from Facultad de Ciencias Físico-Matemáticas, UANL, Monterrey, her MS degree from the Division of Applied Physics, Centro de Investigación Científica y de Educación Superior de Ensenada (CICESE), and her PhD in Optics from the Centro de Investigaciones en Óptica (CIO), León, Mexico. She was research scientist at CICESE. Currently, she is a researcher at CIO, a member of the National System of Researchers, Mexico, Mexican Academy of Optics, SPIE and OSA. She is the Vice-President of the Mexican Academy of Optics (AMO) for 2013–2014 and Elected President for 2015–2016. Her research interests are optical metrology with holography, speckle and moiré techniques, images correlation and stereo vision systems.

    , Noel-Iván Toto-Arellano

    Noel-Ivan Toto-Arellano received his BS degree in Physical Sciences at Universidad Veracruzana, México, his MSc in Optical Sciences from Benemérita Universidad Autónoma de Puebla (Puebla, México, 2005), and his PhD in Optical Sciences at the same institution (2008). He did two post-doctoral internships at CIO (León, Gto. México, 2009–2011). He currently holds a research professor position at the Universidad Tecnológica de Tulancingo, Hidalgo, México, supporting the creation of a First Optics and Photonics Engineering program in Mexico. He has authored 19 articles in interferometry and Fourier optics, five book chapters, and two handbooks. He holds three national science and technology awards and two medals for innovations granted by the Mexican Institute of Industrial Property. His current research interests include education in optics and photonics, physical optics, interferometry, laser applications, image formation (spatial filtering, holography and tomography), Fourier optics, and optical metrology using moiré and speckle interferometry, contouring for structured light projection.

    and Yukitoshi Otani

    Yukitoshi Otani is a Professor at the Center for Optical Research and Education (CORE), Utsunomiya University, Japan. He received his Master’s degree from Tokyo University of Agriculture and Technology in 1990 and his Doctor’s degree from the University of Tokyo in 1995. After working for a brief period at HOYA Corp., he was an Associate Professor at Tokyo University of Agriculture and Technology until 2010. He was a Visiting Professor at the College of Optical Sciences, the University of Arizona from 2004 to 2005. He joined the CORE from April 2010. He is also a technical adviser at Imaging Div, Photron Limited from 2011. His current interests include polarimetry and optomechatronics. He is a fellow of SPIE since 2010.

Published/Copyright: August 6, 2014
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Abstract

An interferometer capable of retrieving the phase information in a single shot was implemented, the system was made by taking into account the double interferogram output obtained in a Mach Zehnder interferometer and then retrieving the phase information using a two-step algorithm already encountered in the literature. By controlling the polarization properties of the system, a new polarization phase shifting technique was implemented based upon the rotation of two quarter wave retarders placed in each of the arms of the interferometer. We present the analytical model taking into account the necessary conditions presented by the demodulation method. The configuration presented does not require micro-polarizer arrays or diffraction gratings presenting the advantage of avoiding the use of conventional polarizing filters to control the phase shift. Experimental results are presented.


Corresponding author: David-Ignacio Serrano-García, Center for Optical Research and Education (CORE) – Utsunomiya University, Tochigi, Japan, e-mail: . http://orcid.org/0000-0002-5326-8874

About the authors

David-Ignacio Serrano-García

David Serrano received his Bachelor’s degree from the Monterrey Institute of Technology and Higher Education in Physical Engineering (2008), his Master’s degree in Optics (2010) from the Centro de Investigaciones en Optical A.C. in Leon, Guanajuato, Mexico and his PhD at the same institution. His main research field involves optical metrology and polarization phase shifting techniques applied to single shot interferometry measurements. In 2011, he received a SPIE Scholarship for his potential contributions to the field of optics. In 2013 he made a research internship at the Center for Optical Research and Education (CORE), Utsunomiya University, Japan and currently occupies a post-doctorate position at CORE.

Amalia Martinez-García

Amalia Martínez-García received her BS degree in Physics from Facultad de Ciencias Físico-Matemáticas, UANL, Monterrey, her MS degree from the Division of Applied Physics, Centro de Investigación Científica y de Educación Superior de Ensenada (CICESE), and her PhD in Optics from the Centro de Investigaciones en Óptica (CIO), León, Mexico. She was research scientist at CICESE. Currently, she is a researcher at CIO, a member of the National System of Researchers, Mexico, Mexican Academy of Optics, SPIE and OSA. She is the Vice-President of the Mexican Academy of Optics (AMO) for 2013–2014 and Elected President for 2015–2016. Her research interests are optical metrology with holography, speckle and moiré techniques, images correlation and stereo vision systems.

Noel-Iván Toto-Arellano

Noel-Ivan Toto-Arellano received his BS degree in Physical Sciences at Universidad Veracruzana, México, his MSc in Optical Sciences from Benemérita Universidad Autónoma de Puebla (Puebla, México, 2005), and his PhD in Optical Sciences at the same institution (2008). He did two post-doctoral internships at CIO (León, Gto. México, 2009–2011). He currently holds a research professor position at the Universidad Tecnológica de Tulancingo, Hidalgo, México, supporting the creation of a First Optics and Photonics Engineering program in Mexico. He has authored 19 articles in interferometry and Fourier optics, five book chapters, and two handbooks. He holds three national science and technology awards and two medals for innovations granted by the Mexican Institute of Industrial Property. His current research interests include education in optics and photonics, physical optics, interferometry, laser applications, image formation (spatial filtering, holography and tomography), Fourier optics, and optical metrology using moiré and speckle interferometry, contouring for structured light projection.

Yukitoshi Otani

Yukitoshi Otani is a Professor at the Center for Optical Research and Education (CORE), Utsunomiya University, Japan. He received his Master’s degree from Tokyo University of Agriculture and Technology in 1990 and his Doctor’s degree from the University of Tokyo in 1995. After working for a brief period at HOYA Corp., he was an Associate Professor at Tokyo University of Agriculture and Technology until 2010. He was a Visiting Professor at the College of Optical Sciences, the University of Arizona from 2004 to 2005. He joined the CORE from April 2010. He is also a technical adviser at Imaging Div, Photron Limited from 2011. His current interests include polarimetry and optomechatronics. He is a fellow of SPIE since 2010.

Acknowledgments

Authors thank Boaz Jessie Jackin and Shuhei Shibata from Utsunomiya Univ. CORE for their contributions in proofreading the manuscript. D-I Serrano-García is currently occupying a post doc position at Utsunomiya University in the Center for Optical Research & Education (CORE) and acknowledge the funding support provided under The Project for Bio-Imaging and Sensing at Utsunomiya University. The authors gratefully acknowledge the research support from the CONACYT under grant 180449 and N.-I. Toto-Arellano expresses sincere appreciation for the support provided to ‘Programa de Mejoramiento del Profesorado’ (PROMEP) for Grant UTTGO-PTC-016.

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Received: 2014-4-18
Accepted: 2014-7-2
Published Online: 2014-8-6
Published in Print: 2014-8-1

©2014 THOSS Media & De Gruyter

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