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Two-step demodulation algorithm based on the orthogonality of diamond diagonal vectors

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Abstract

An advanced two-step phase demodulation algorithm is proposed based on the orthogonality of diamond diagonal vectors. By performing the subtraction and the addition of two background-eliminated interferograms, respectively, two corresponding orthogonal vectors are constructed easily. Then, the measured phase and the phase shifts can be extracted from the elements and lengths of these orthogonal vectors. In addition to maintaining advantages of the known two-step algorithms, the proposed algorithm reveals significantly faster computing speed, better accuracy and the readily comprehensible physical picture of the orthonormalization algorithm. Both the simulation and the experimental results demonstrate the outstanding performance of the proposed algorithm.

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References

  1. Z. Malacara, M. Servín, Interferogram Analysis for Optical Testing (CRC Press, Boca Raton, 2010)

    Google Scholar 

  2. Y. Awatsuji, M. Sasada, T. Kubota, Appl. Phys. Lett. 85, 1069 (2004)

    Article  ADS  Google Scholar 

  3. S.D. Nicola, P. Ferraro, A. Finizio, G. Pierattini, Opt. Lasers Eng. 37, 331 (2002)

    Article  Google Scholar 

  4. P. Ferraro, S. De Nicola, A. Finizio, G. Coppola, S. Grilli, C. Magro, G. Pierattini, Appl. Opt. 42, 1938 (2003)

    Article  ADS  Google Scholar 

  5. T.M. Kreis, W.P. Jueptner, Proc. SPIE 1553, 263 (1992)

    Article  ADS  Google Scholar 

  6. J. Vargas, J.A. Quiroga, T. Belenguer, M. Servín, J. Estrada, Opt. Express 19, 638 (2011)

    Article  ADS  Google Scholar 

  7. J. Vargas, J.A. Quiroga, C. Sorzano, J. Estrada, J. Carazo, Opt. Lett. 36, 3485 (2011)

    Article  ADS  Google Scholar 

  8. L. Muravsky, O. Ostash, A. Kmet, T. Voronyak, I. Andreiko, Opt. Lasers Eng. 49, 305 (2011)

    Article  Google Scholar 

  9. J. Vargas, J.A. Quiroga, C. Sorzano, J. Estrada, J. Carazo, Opt. Lett. 37, 443 (2012)

    Article  ADS  Google Scholar 

  10. J. Deng, H. Wang, F. Zhang, D. Zhang, L. Zhong, X. Lu, Opt. Lett. 37, 4669 (2012)

    Article  ADS  Google Scholar 

  11. P. Hariharan, B. Oreb, T. Eiju, Appl. Opt. 26, 2504 (1987)

    Article  ADS  Google Scholar 

  12. J.A. Quiroga, M. Servín, Opt. Commun. 224, 221 (2003)

    Article  ADS  Google Scholar 

  13. R.C. Gonzalez, R.E. Woods, Digital Imaging Processing (Addison-Wesley, Massachusetts, 1992)

    Google Scholar 

Download references

Acknowledgments

This work is supported by National Nature Science Foundation of China Grants (61475048, 61275015 and 61177005).

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Authors and Affiliations

  1. Guangdong Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, Guangzhou, 510006, China

    Chunshu Luo, Liyun Zhong, Peng Sun, Hanling Wang & Xiaoxu Lu

  2. College of Optoelectronic Engineering, Shenzhen University, Shenzhen, 518060, China

    Jindong Tian

Authors
  1. Chunshu Luo
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  2. Liyun Zhong
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  3. Peng Sun
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  4. Hanling Wang
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  5. Jindong Tian
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  6. Xiaoxu Lu
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Correspondence to Xiaoxu Lu.

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Luo, C., Zhong, L., Sun, P. et al. Two-step demodulation algorithm based on the orthogonality of diamond diagonal vectors. Appl. Phys. B 119, 387–391 (2015). https://doi.org/10.1007/s00340-015-6087-z

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  • DOI: https://doi.org/10.1007/s00340-015-6087-z

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