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Deformation-phase measurement by digital speckle correlation method

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Abstract

A novel algorithm which extracts the out-of-plane component of deformation phase from two continuous fringe patterns is proposed. The velocity field between two consecutive frames is estimated by digital speckle correlation method (DSCM). After that, according to the optical flow constrained equation, the whole-field deformation-phase map is obtained by the estimations of the velocity field and the local frequency of the original image. The operation of the proposed method is simple compared with other phase demodulation methods. Moreover, the new method works perfectly at the areas with dense fringes. In this paper, the proposed algorithm is introduced. Meanwhile, in order to verify the effectiveness, the new algorithm is applied to simulated interferogram and real fringe pattern with a centrally loaded and edge-clamped plate. The results of simulation and experiment show that the new method can demodulate the out-of-plane component of deformation phase from the visible in-plane velocity field without unwrapping process. Further, dynamic deformation-phase extraction will be realized when we know the time interval of two continuous images. The proposed algorithm provides a new approach for whole-field deformation-phase measurement and dynamic deformation measurement.

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References

  1. Pramod K. Rastogi, Digital Speckle Pattern Interferometry and Related Techniques (Wiley, New York, 2001)

    Google Scholar 

  2. S. Gary Schajer, Yijian Zhang, Samuel Melamed, In-plane ESPI using an achromatic interferometer with low-coherence laser source. Opt. Lasers Eng. 67, 116–121 (2015)

    Article  Google Scholar 

  3. Charles M. Vest, Holographic Interferometry (Wiley, New York, 1979)

    Google Scholar 

  4. Rishikesh Kulkarni, Pramod Rastogi, Multiple phase estimation in digital holographic interferometry using product cubic phase function. Opt. Lasers Eng. 51(10), 1168–1172 (2013)

    Article  Google Scholar 

  5. Shaolin Zhou, Hu Song, Fu Yongqi, Xu Xiangmin, Yang Jun, Moiré interferometry with high alignment resolution in proximity lithographic process. Appl. Opt. 53(5), 951–959 (2014)

    Article  ADS  Google Scholar 

  6. Davoud Mohammdalizadeh, Murali Manohohar Pai, Narayanswamy Sivakumar, Muthukumaran Packirisamy, New temporal phase-shifting technique utilizing stroboscopy for static characterization of microstructures. Measurement 43(1), 135–143 (2010)

    Article  Google Scholar 

  7. L.I. Muravsky, O.P. Ostash, A.B. Kmet, T.I. Voronyak, I.M. Andreiko, Two-frame phase-shifting interferometry for retrieval of smooth surface and its displacements. Opt. Lasers Eng. 49(3), 305–312 (2011)

    Article  Google Scholar 

  8. Fengwei Liu, Wu Yongqian, Wu Fan, Phase shifting interferometry from two normalized interferograms with random tilt phase-shift. Opt. Express 23(15), 19932–19946 (2015)

    Article  ADS  Google Scholar 

  9. Shay Wolfling, Emmanuel Lanzmann, Moshe Israeli, Nissim Ben-Yosef, Yoel Arieli, Spatial phase-shift interferometry—a wavefront analysis technique for three-dimensional topometry. J. Opt. Soc. Am. A 22(11), 2498–2509 (2005)

    Article  ADS  Google Scholar 

  10. J.A. Ferrari, E.M. Frins, Multiple phase-shifted interferograms obtained from a single interferogram with linear carrier. Opt. Laser Technol. 271(1), 59–64 (2007)

    Google Scholar 

  11. Xide Li, Gang Tao, Yizhang Yang, Continual deformation analysis with scanning phase method and time sequence phase method in temporal speckle pattern interferometry. Opt. Laser Technol. 33(1), 53–59 (2001)

    Article  ADS  Google Scholar 

  12. W.H. Peters, W.F. Ranson, Digital imaging techniques in experimental stress analysis. Opt. Eng. 21(3), 427–431 (1982)

    Article  ADS  Google Scholar 

  13. T.C. Chu, W.F. Ranson, M.A. Sutton, Applications of digital-image-correlation techniques to experimental mechanics. Exp. Mech. 25(3), 232–244 (1985)

    Article  Google Scholar 

  14. Bing Pan, Kai Li, A fast digital image correlation method for deformation measurement. Opt. Lasers Eng. 49(7), 841–847 (2011)

    Article  MathSciNet  Google Scholar 

  15. Bing Pan, Kemao Qian, Huimin Xie, Anand Asundi, Two-dimensional digital image correlation for in-plane displacement and strain measurement: a review. Meas. Sci. Technol. 20(6), 062001 (2009)

    Article  ADS  Google Scholar 

  16. Thomas Fricke-Begemann, Three-dimensional deformation field measurement with digital speckle correlation. Appl. Opt. 42(34), 6783–6796 (2003)

    Article  ADS  Google Scholar 

  17. Hao Yan, Bing Pan, Three-dimensional displacement measurement based on the combination of digital holography and digital image correlation. Opt. Lett. 39(17), 5166–5169 (2014)

    Article  ADS  Google Scholar 

  18. Xinxing Shao, Xiangjun Dai, Zhenning Chen, Xiaoyuan He, Real-time 3D digital image correlation method and its application in human pulse monitoring. Appl. Opt. 55(4), 696–704 (2016)

    Article  ADS  Google Scholar 

  19. Wu Lifu, Jianguo Zhu, Huimin Xie, Single-lens 3D digital image correlation system based on a bilateral telecentric lens and a bi-prism: validation and application. Appl. Opt. 54(26), 7842–7850 (2015)

    Article  ADS  Google Scholar 

  20. M.A. Sutton, J.H. Yan, V. Tiwari, H.W. Schreier, J.J. Orteu, The effect of out-of-plane motion on 2D and 3D digital image correlation measurements. Opt. Lasers Eng. 46(10), 746–757 (2008)

    Article  Google Scholar 

  21. Mark Pankow, Brian Justusson Anthony, M. Waas, Three-dimensional digital image correlation technique using single high-speed camera for measuring large out-of-plane displacements at high framing rates. Appl. Opt. 49(17), 3418–3427 (2010)

    Article  ADS  Google Scholar 

  22. X.F. Xu, L.X. Cai, Y.R. Wanga, X.F. Meng, H. Zhang, G.Y. Dong, X.X. Shen, Blind phase shift extraction and wavefront retrieval by two-frame phase-shifting interferometry with an unknown phase shift. Opt. Commun. 273, 54–59 (2007)

    Article  ADS  Google Scholar 

  23. J. Vargas, J.A. Quiroga, T. Belenguer, M. Servin, J.C. Estrada, Two-step self-tuning phase-shifting interferometry. Opt. Express 19, 638–648 (2011)

    Article  ADS  Google Scholar 

  24. J. Vargas, J.A. Quiroga, C.O.S. Sorzano, J.C. Estrada, J.M. Carazo, Two-step demodulation based on the Gram-schmidtorthonormalization method. Opt. Lett. 37, 443–445 (2012)

    Article  ADS  Google Scholar 

  25. J. Vargas, J.A. Quiroga, C.O.S. Sorzano, J.C. Estrada, J.M. Carazo, Two-step interferometry by a regularized optical flow algorithm. Opt. Lett. 36(17), 3485–3487 (2011)

    Article  ADS  Google Scholar 

  26. Yihao Zhou, Bing Pan, Yanqiu Chen, Large deformation measurement using digital image correlation: a fully automated approach. Appl. Opt. 51(31), 7674–7683 (2012)

    Article  ADS  Google Scholar 

  27. Bing Pan, Zhaoyang Wang, Lu Zixing, Genuine full-field deformation measurement of an object with complex shape using reliability-guided digital image correlation. Opt. Express 18(2), 1011–1023 (2010)

    Article  ADS  Google Scholar 

  28. Fa Zeng, Qiaofeng Tan, Gu Huarong, Guofan Jin, Phase extraction from interferograms with unknown tilt phase shifts based on a regularized optical flow method. Opt. Express 21(14), 17234–17248 (2013)

    Article  ADS  Google Scholar 

  29. Kemao Qian, Haixia Wang, Wenjing Gao, Windowed Fourier transform for fringe pattern analysis: theoretical analyses. Appl. Opt. 47(29), 5408–5419 (2008)

    Article  ADS  Google Scholar 

  30. Kemao Qian, Applications of windowed Fourier fringe analysis in optical measurement: a review. Opt. Lasers Eng. 66, 67–73 (2015)

    Article  Google Scholar 

  31. Ran Zhao, Xinglong Li, Ping Sun, An improved windowed Fourier transform filter algorithm. Opt. Laser Technol. 74, 103–107 (2015)

    Article  ADS  Google Scholar 

  32. Kemao Qian, Windowed Fourier transform for fringe pattern analysis. Appl. Opt. 43(13), 2695–2702 (2004)

    Article  Google Scholar 

  33. Ran Zhao, Ping Sun, Deformation-phase measurement by optical flow method. Opt. Commun. 371(15), 144–149 (2016)

    Article  ADS  Google Scholar 

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Correspondence to Ping Sun.

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Zhao, R., Sun, P. Deformation-phase measurement by digital speckle correlation method. Appl. Phys. B 122, 251 (2016). https://doi.org/10.1007/s00340-016-6525-6

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