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Adaptive Neural Network Approach for Nonlinearity Compensation in Laser Interferometer

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Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 4694))

Abstract

In this paper, we propose a compensation algorithm to reduce the nonlinearity error which is occurred in a heterodyne laser interferometer as a nano-meter scale measurement apparatus. In heterodyne laser interferometer, frequency-mixing is the main factor of nonlinearity error. Using an RLS algorithm, the nonlinearity compensation parameters are found to be used through geometric projection. With the roughly modified intensity signals from LIA, the back-propagation neural network algorithm minimizes the objective function to track the reference signal for learning period. Through some experiments, it is verified that the proposed algorithm can reduce nonlinear factors and improve the measurement accuracy of laser interferometer.

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References

  1. Wu, C.M., Su, C.S.: Nonlinearity in measurements of length by optical interferometer. Measurement Science & Technology 7, 62–68 (1996)

    Article  Google Scholar 

  2. Lawall, J., Kessler, E.: Michelson interferometry with 10 pm accuracy. Review of Scientific Instruments 71, 2669–2676 (2000)

    Article  Google Scholar 

  3. Hou, W., Wilkening, G.: Investigation and compensation of the nonlinearity of heterodyne interferometers. Measurement Science & Technology 7, 520–524 (1992)

    Google Scholar 

  4. Yeh, H.C., Ni, W.T., Pan, S.S.: Digital closed-loop nanopositioning using rectilinear flexure stage and laser interferometer. Control Engineering Practice 13, 559–566 (2005)

    Article  Google Scholar 

  5. Rosenbluth, A.E., Bobroff, N.: Optical sources of nonlinearity in heterodyne interferometer. Precision Engineering 12, 7–11 (1993)

    Article  Google Scholar 

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Bruno Apolloni Robert J. Howlett Lakhmi Jain

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© 2007 Springer-Verlag Berlin Heidelberg

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Heo, G., Lee, W., Choi, S., Lee, J., You, K. (2007). Adaptive Neural Network Approach for Nonlinearity Compensation in Laser Interferometer. In: Apolloni, B., Howlett, R.J., Jain, L. (eds) Knowledge-Based Intelligent Information and Engineering Systems. KES 2007. Lecture Notes in Computer Science(), vol 4694. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74829-8_31

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  • DOI: https://doi.org/10.1007/978-3-540-74829-8_31

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74828-1

  • Online ISBN: 978-3-540-74829-8

  • eBook Packages: Computer ScienceComputer Science (R0)

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