Skip to main content
Log in

Homodyne Quadrature Displacement Interferometer. Experimental Results

  • Published:
Optics and Spectroscopy Aims and scope Submit manuscript

Abstract

In the previous work [1], the results of mathematical modeling of the optical scheme of a single-pass homodyne displacement interferometer with the quadrature principle of phase recording have been presented. The interferometer has been built according to the Michelson scheme and polarization optical elements have been used to obtain quadrature signals. The interferometer has been supposed to be used as part of a new national standard of the kilogram based on watt balance method for precision measurements of the displacement and speed of the coil in the vertical direction. This paper presents experimental studies of the operation of a homodyne quadrature displacement interferometer model. In this work, a conventional (non-polarization) beam splitter and two polarizers have been used in the optical scheme of a homodyne interferometer in the recording unit instead of a polarization beam splitter. This added additional degrees of freedom when aligning the optical channels for recording interference channels and has made it possible to achieve the required signal shift of 90° with an accuracy of 0.1°. As a result, a displacement measurement error of 0.2 nm has been experimentally achieved. Generalized expressions have been obtained for quadrature signals for arbitrary azimuths of polarizers in three channels of recording of interference signals. An assessment of the accuracy of displacement measurements using a quadrature homodyne interferometer has been carried out and it has been found that the extended uncertainty of such measurements does not exceed 0.3 nm.

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.
Fig. 5.
Fig. 6.
Fig. 7.
Fig. 8.

Similar content being viewed by others

REFERENCES

  1. G. N. Vishnyakov and V. L. Minaev, Opt. Spektrosk. 129, 1306 (2021).

    Article  Google Scholar 

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

    Article  ADS  Google Scholar 

  3. C.-m. Wu and C.-s. Su, Meas. Sci. Technol. 7, 62 (1996).

    Article  ADS  Google Scholar 

  4. J. Ahn, J.-a. Kim, C.-s. Kang, J. W. Kim, and S. Kim, Opt. Express 17, 23299 (2009).

    Article  ADS  Google Scholar 

  5. C. Wang, Q. Huang, X. Ding, R. Cheng, L. Zhang, R. Li, and H. Li, Appl. Sci. 10, 6060 (2020).

    Article  Google Scholar 

  6. H. Toba, Z. Liu, S. Udagava, N. Fujiwara, S. Nakayama, T. Gemma, and M. Takeda, Opt. Eng. 58, 084103 (2019).

    Article  ADS  Google Scholar 

  7. GOST (State Standard) No. 8.381-2009: GSI. Standards. Ways to Express Precision.

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

    Google Scholar 

  9. P. J. de Groot, Displacement Measuring Interferometry, 2013. https://www.researchgate.net/publication/265545365_Displacement_Measuring_Interferometry.

  10. D. E. Denk, Optoelectron., Instrum. Data Process. 44, 105 (2008).

    Article  Google Scholar 

Download references

Funding

The study was carried out within the framework of the State contract for the implementation of research and development “Balance”.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to G. N. Vishnyakov.

Ethics declarations

The authors state that they have no conflicts of interest

Additional information

Translated by N. Petrov

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. & Shumsky, E.V. Homodyne Quadrature Displacement Interferometer. Experimental Results. Opt. Spectrosc. 130, 327–335 (2022). https://doi.org/10.1134/S0030400X22050058

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0030400X22050058

Keywords:

Navigation