Skip to main content
Log in

Simulation of a Homodyne Quadrature Displacement Measuring Interferometer

  • Published:
Optics and Spectroscopy Aims and scope Submit manuscript

Abstract

Based on the Jones matrix formalism, the paper describes the optical scheme of a single-pass homodyne displacement measuring interferometer with a quadrature principle of phase detection. The interferometer is based on the Michelson scheme, and quadrature signals are obtain using polarization optical elements. The interferometer is supposed to be used as part of a new domestic kilogram standard based on watt-balance for precision measurements of the vertical displacements and speed of the coil. The results of modeling the optical scheme of the interferometer in order to assess the influence of the imperfection of polarization elements on the accuracy of measurements and the quality of their alignment are considered. An algorithm for compensating for nonlinear effects arising from quadratic detection of interference signals is also implemented.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.

Similar content being viewed by others

REFERENCES

  1. I. A. Robinson and S. Schlamminger, Metrologia 53 (5), A46 (2016).

    Article  ADS  Google Scholar 

  2. V. P. Koronkevich, V. S. Sobolev, and Yu. N. Dubnishchev, Laser Interferometry (Nauka Sib. Otd., Novosibirsk, 1983) [in Russian].

    Google Scholar 

  3. J. Watchi et al., arxiv: 1808.04175.

  4. C.-M. Wu and C.-S. Su, Meas. Sci. Technol. 7, 62 (1996).

    Article  ADS  Google Scholar 

  5. C.-M. Wu, C.-S. Su, and G.-S. Peng, Meas. Sci. Technol. 7, 520 (1996).

    Article  ADS  Google Scholar 

  6. J. Cui, Z. He, Y. Jiu, J. Tan, and T. Sun, Appl. Opt. 55, 7086 (2016).

    Article  ADS  Google Scholar 

  7. P. Hu, J. Zhu, X. Zhai, and J.-B. Tan, Opt. Express 23, 8399 (2015).

    Article  ADS  Google Scholar 

  8. L. Yan, Z. Chen, B. Chen, J. Xie, S. Zhang, Y. Lou, and E. Zhang, Opt. Express 26, 4818 (2018).

    Article  ADS  Google Scholar 

  9. D. Kim, B. C. Woo, K. C. Lee, K. B. Choi, J. A. Kim, J. W. Kim, and J. Kim, Metrologia 51, 96 (2014).

    Article  Google Scholar 

  10. A. Gerrard and J. M. Burch, Introduction to Matrix Methods in Optics (Wiley-Interscience, New York, 1975).

    MATH  Google Scholar 

  11. E. F. Ishchenko and A. L. Sokolov, Polarization Analysis (Znak, Moscow, 1998) [in Russian].

    Google Scholar 

  12. J. Cui, Z. He, J. Tan, and T. Sun, Opt. Express 24, 23505 (2016).

    Article  ADS  Google Scholar 

Download references

Funding

This work was carried out within a state contract for the implementation of research work “Balance.”

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to G. N. Vishnyakov.

Ethics declarations

The authors declare that they have no conflicts of interest.

Additional information

Translated by E. Chernokozhin

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Vishnyakov, G.N., Minaev, V.L. Simulation of a Homodyne Quadrature Displacement Measuring Interferometer. Opt. Spectrosc. 130, 116–122 (2022). https://doi.org/10.1134/S0030400X22010180

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0030400X22010180

Keywords:

Navigation