Skip to main content
SpringerLink
Log in

Behavior of Signal from Optical Circuit of Quantum Rotation Sensor Based on Nuclear Magnetic Resonance

  • Published:
Gyroscopy and Navigation Aims and scope Submit manuscript

Abstract

The paper considers a common operation principle of a quantum rotation sensor based on nuclear magnetic resonance, giving a semi-classical description of processes in the sensor circuit, that is useful for obtaining the analytical representation of a signal at the optical circuit output. The principles of numerical calculation are briefly presented for an optical signal of the rotation sensor based on a one-dimensional quantum model. Comparison of calculations according to classical model and more stringent quantum model has shown that the sensor signal has a more complicated structure than that following from the classical description which shows only some properties of dynamic processes in the circuit. The results are important for the development of methods for demodulating the quantum rotation sensor optical signal and for estimation of expected characteristics of practical devices.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Larsen, M., and Bulatowicz, M., Nuclear Magnetic Resonance Gyroscope: For DARPA’s micro-technology for positioning, navigation and timing program, IEEE International Frequency Control Symposium Proceedings, 2012.

    Google Scholar 

  2. Woodman, O.J., An Introduction to Inertial Navigation: Technical Report no. 696, University of Cambridge Computer Laboratory, 2007.

  3. Jekeli, C., Inertial Navigation Systems with Geodetic Applications, Walter de Gruyter, 2001.

    Book  Google Scholar 

  4. Fang, J. and Qin, J., Advances in Atomic Gyroscopes: A View from Inertial Navigation Applications, Sensors (Basel), 2012, no. 12 (5), pp. 6331–6346.

    Article  Google Scholar 

  5. Lefèvre, H.C., The Fiber-Optic Gyroscope: Challenges to Become the Ultimate Rotation-Sensing Technology, Optical Fiber Technology, 2013, vol. 19, issue 6, part B, pp. 828–832.

    Google Scholar 

  6. Rabi, I.I., Zacharias, J.R., Millman, S., and Kusch, P., A New Method of Measuring Nuclear Magnetic Moment, Physical Review, 1938, vol. 53, no. 4, pp. 318–327.

    Article  Google Scholar 

  7. Pomerantsev, N.M., Yavlenie spinovykh ekho i ego primenenie (Spin Echo Phenomenon and Its Applications), UFN, 1958, no. 1, pp. 87–110.

    Article  Google Scholar 

  8. Waters, G.S., and Francis, P.D., A Nuclear Magnetometer, Journal of Scientific Instruments, 1958, vol. 35, no. 3, pp. 88–93.

    Article  Google Scholar 

  9. Gabuda, S.P., Pletnev, R.N., and Fedotov, M.A., Yadernyi magnitnyi rezonans v neorganicheskoi khimii (Nuclear Magnetic Resonance in Inorganic Chemistry), Moscow, Nauka, 1988.

    Google Scholar 

  10. Lauterbur, P.C., Image Formation by Induced Local Interactions: Examples Employing Nuclear Magnetic Resonance, Nature, 1973, vol. 242, pp. 190–191.

    Article  Google Scholar 

  11. Maleev, P.I., Novye tipy giriskopov (New Types of Gyroscopes), Leningrad, 1971.

    Google Scholar 

  12. Simpson, J.H., Fraser, J.T., and Greenwood, I.A., An Optically Pumped Nuclear Magnetic Resonance Gyroscope, IEEE Trans. Aerosp. Support, 1963, vol. 1, pp. 1107–1110.

    Article  Google Scholar 

  13. Fang, J.C. and Qin, J., Advances in Atomic Gyroscopes: A View from Inertial Navigation Applications, Sensors, 2012, vol. 12, pp. 6331–6346.

    Article  Google Scholar 

  14. Donley, E.A., Nuclear Magnetic Resonance Gyroscopes, IEEE SENSORS 2010 Conference, 2010, pp. 17–22.

    Google Scholar 

  15. Litmanovich, Yu.A., Vershovskii, A.K., and Peshekhonov, V.G., Nuclear Magnetic Resonance Gyro: Past, Present, Future, 7-ya Rossiiskaya multikonferentsiya po problemam upravleniya, materialy plenarnogo zasedaniya (7th Russian Conference on Control Problems, Proceedings of the Plenary Session), St. Petersburg, 2014, pp. 35–42.

    Google Scholar 

  16. Meyer, D., and Larsen, M., Nuclear Magnetic Resonance Gyro for Inertial Navigation, Gyroscopy and Navigation, vol. 5, no. 2, pp. 75−82.

  17. Walker, T.G., and Larsen, M.S., Spin-Exchange-Pumped NMR Gyros, Advances in Atomic, Molecular, and Optical Physics, 2016, vol. 65, pp. 373–401.

    Article  Google Scholar 

  18. Kuraptsev, A.S. and Sokolov, I.M., Spontaneous Decay of an Atom Excited in a Dense and Disordered Atomic Ensemble: Quantum Microscopic Approach, Phys. Rev. A, 2014, vol. 90, issue 1.

  19. Sokolov, I.M., Influence of Hyperfine Structure of the Atomic States on the Collective Effects in the Rb2 Quasi-molecule, Journal of Experimental and Theoretical Physics, 2017, vol. 125, no. 4, pp. 551–563.

    Article  Google Scholar 

  20. Blum, K., Density Matrix Theory and Applications, Springer Series on Atomic, Optical and Plasma Physics, 2012.

    Book  Google Scholar 

  21. Abraham, A., Yadernyi Magnetizm (Nuclear Magnetism), Moscow, Izdatelstvo inostrannoi literatury, 1963.

    Google Scholar 

  22. Popov, E.N., Barantsev, K.A., and Litvinov, A.N., Control of the Nuclear Spin of the 129Xe and 131Xe Isotopes in the Spin-Exchange Interaction with 87Rb Atoms, Physics of Wave Phenomena, 2016, vol. 24, no. 3, pp. 203–213.

    Article  Google Scholar 

  23. Dong, H., Fang, J., Qin, J., and Chen, Y., Analysis of the Electrons-Nuclei Coupled Atomic Gyroscope, Optics Communications, 2011, vol. 284, no. 12, pp. 2886–2889.

    Article  Google Scholar 

  24. Fang, J., Wan, S., and Yuan, H., Dynamics of an All-Optical Atomic Spin Gyroscope, Applied Optics, 2013, vol. 52 (30), pp. 7220–7227.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Peter the Great St. Petersburg Polytechnic University, St. Petersburg, 195251, Russia

    E. N. Popov, K. A. Barantsev, N. A. Ushakov, A. N. Litvinov, L. B. Liokumovich, F. V. Sklyarov & A. V. Medvedev

  2. Concern CSRI Elektropribor, JSC, St. Petersburg, 197046, Russia

    A. N. Shevchenko & F. V. Sklyarov

Authors
  1. E. N. Popov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. K. A. Barantsev
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. N. A. Ushakov
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. A. N. Litvinov
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. L. B. Liokumovich
    View author publications

    You can also search for this author in PubMed Google Scholar

  6. A. N. Shevchenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  7. F. V. Sklyarov
    View author publications

    You can also search for this author in PubMed Google Scholar

  8. A. V. Medvedev
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to E. N. Popov.

Additional information

Original Russian Text © E.N. Popov, K.A. Barantsev, N.A. Ushakov, A.N. Litvinov, L.B. Liokumovich, A.N. Shevchenko, F.V. Sklyarov, A.V. Medvedev, 2018, published in Giroskopiya i Navigatsiya, 2018, No. 1, pp. 93–106.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Popov, E.N., Barantsev, K.A., Ushakov, N.A. et al. Behavior of Signal from Optical Circuit of Quantum Rotation Sensor Based on Nuclear Magnetic Resonance. Gyroscopy Navig. 9, 183–190 (2018). https://doi.org/10.1134/S2075108718030082

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S2075108718030082

Keywords

Search

Navigation