Skip to main content
SpringerLink
Log in

Measurements of the Complex Permittivity of Liquid Helium-4 in the Millimeter Wave Range by a Whispering Gallery Mode Resonator

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

We report an experimental study of the electrical properties of liquid helium-4 in the temperature range 1.2–3 K. The experiment is carried out in the millimeter wave range using a whispering gallery mode dielectric resonator, and the complex permittivity of liquid helium is extracted from the data using the resonant perturbation method. The results for the temperature dependence of the dielectric constant are consistent with the previous studies. In addition, we find strong enhancement of the loss tangent around the superfluid transition temperature.

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

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  1. A. Rybalko, E. Rudavskii, S. Rubets, V. Tikhiy, V. Dergach, S. Tarapov, J. Low Temp. Phys. 148, 527 (2007)

    Article  ADS  Google Scholar 

  2. A. Rybalko, S. Rubets, E. Rudavskii, V. Tikhiy, S. Tarapov, R. Golovashchenko, V. Derkach, Phys. Rev. B 76, 140503 (2007)

    Article  ADS  Google Scholar 

  3. A. Rybalko, S. Rubets, E. Rudavskii, V. Tikhiy, Y. Poluectov, R. Golovashchenko, V. Dergach, S. Tarapov, O. Usatenko, J. Low Temp. Phys. 158, 244 (2010)

    Article  ADS  Google Scholar 

  4. W.H. Keesom, Helium, 321 (Elsevier Publishing Company Inc., Amsterdam, 1942)

    Google Scholar 

  5. C.E. Chase, E. Maxwell, W.E. Millett, Physica 27, 1129 (1961)

    Article  ADS  Google Scholar 

  6. R.F. Harris-Lowe, K.A. Smee, Phys. Rev. A 2, 158 (1970)

    Article  ADS  Google Scholar 

  7. H.A. Kierstead, J. Low Temp. Phys. 23, 791 (1976)

    Article  ADS  Google Scholar 

  8. M. Chan, M. Ryschkewitsch, H. Meyer, J. Low Temp. Phys. 26, 211 (1977)

    Article  ADS  Google Scholar 

  9. J.J. Niemela, R.J. Donnelly, J. Low Temp. Phys. 98(1/2), 1 (1995)

    Article  ADS  Google Scholar 

  10. R.J. Donnelly, C.F. Barenghi, J. Phys. Chem. Ref. Data 27, 1217 (1998)

    Article  ADS  Google Scholar 

  11. C.J. Grebenkemper, J.P. Hagen, Phys. Rev. 80(1), 89 (1950)

    Article  ADS  Google Scholar 

  12. E.M. Ganapolskii, A.V. Golik, A.P. Korolyuk, Phys. Rev. B 51, 962 (1995)

    Article  Google Scholar 

  13. D. Cros, P. Guillon, IEEE Trans. Microwave Theory Tech. 38, 1667 (1990)

    Article  ADS  Google Scholar 

  14. L. Rayleigh, Philos Mag. 20, 1001 (1910)

    Article  Google Scholar 

  15. Y. Tomabechi, K. Matsumura, Electron. Commun. Jpn. 76, 27 (1993)

    Article  Google Scholar 

  16. M. Oxborrow, How to simulate the whispering-gallery modes of dielectric microresonators in FEMLAB/COMSOL, in Proc. SPIE 6452, Laser Resonators and Beam Control IX (2007), p. 64520J

  17. Q. Huang, Z. Shu, G. Song, J. Chen, J. Xia, J. Yu, Opt. Express 22, 3219 (2014)

    Article  ADS  Google Scholar 

  18. L. Chen, C.K. Ong, B.T.G. Tan, IEEE Trans. Instrum. Meas. 48(6), 1031 (1999)

    Article  Google Scholar 

  19. M.S. Kheir, H.F. Hammad, A. Omar, Prog. Electromagn. Res. B 43, 35–52 (2012)

    Article  Google Scholar 

Download references

Acknowledgements

The work was supported by an internal Grant from the Okinawa Institute of Science and Technology (OIST) Graduate University. A.S.R. was supported as a visiting researcher by the Okinawa Institute of Science and Technology (OIST) Graduate University.

Author information

Authors and Affiliations

  1. Okinawa Institute of Science and Technology, Tancha 1919-1, Onna, Okinawa, 904-0412, Japan

    A. V. Smorodin & D. Konstantinov

  2. B.Verkin Institute for Low Temperature Physics and Engineering, Prospekt Nauky 47, Kharkiv, 61103, Ukraine

    A. S. Rybalko

Authors
  1. A. V. Smorodin
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. S. Rybalko
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. D. Konstantinov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. V. Smorodin.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Smorodin, A.V., Rybalko, A.S. & Konstantinov, D. Measurements of the Complex Permittivity of Liquid Helium-4 in the Millimeter Wave Range by a Whispering Gallery Mode Resonator. J Low Temp Phys 187, 361–368 (2017). https://doi.org/10.1007/s10909-017-1751-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10909-017-1751-9

Keywords

Search

Navigation