Skip to main content
Log in

On the Influence of a Faraday Shield on the Vortex Electric Field in a Radio-Frequency Plasma Generator

  • LOW-TEMPERATURE PLASMA
  • Published:
Plasma Physics Reports Aims and scope Submit manuscript

Abstract

In terms of a two-dimensional quasi-stationary model, an exact solution for the fields inside a circular solenoid with an alternating current and an inner coaxial thin-walled cylindrical shield with longitudinal slots of finite width is obtained. The solution of this problem allows one to estimate the influence of the Faraday shield on the profiles of the magnetic and electric fields in the radio-frequency plasma generator.

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.

Similar content being viewed by others

REFERENCES

  1. J. Hopwood, Plasma Sources Sci. Technol. 1, 109 (1992).

    Article  ADS  Google Scholar 

  2. T. Okumura, Phys. Res. Int. 2010, 164249 (2010).

  3. E. Speth and NBI-Team, Plasma Sci. Technol. 6, 2135 (2004).

    Article  ADS  Google Scholar 

  4. W. Kraus, U. Fantz, P. Franzen, M. Fröschle, B. Heinemann, R. Riedl, and D. Wünderlich, Rev. Sci. Instrum. 83, 02B104 (2012).

  5. A. A. Ivanov, V. I. Davydenko, P. P. Deichuli, A. Kreter, V. V. Mishagin, A. A. Podminogin, I. V. Shikhovtsev, B. Schweer, and R. Uhlemann, Rev. Sci. Instrum. 71, 3728 (2000).

    Article  ADS  Google Scholar 

  6. A. A. Ivanov, I. V. Shikhovtsev, A. A. Podyminogin, I. I. Averboukh, T. D. Akhmetov, V. I. Davydenko, and P. P. Deichuli, Plasma Phys. Rep. 28, 196 (2002).

    Article  ADS  Google Scholar 

  7. A. A. Ivanov, A. A. Podyminogin, and I. V. Shikhovtsev, Tech. Phys. 52, 99 (2007).

    Article  Google Scholar 

  8. J. Grosser and H. Schulz, J. Phys. D: Appl. Phys. 22, 723 (1989).

    Article  ADS  Google Scholar 

  9. D. W. Faulconer, J. Appl. Phys. 54, 3810 (1983).

    Article  ADS  Google Scholar 

  10. D. N. Smithe, R. J. Kashuba, and T. Kammash, J. Appl. Phys. 59, 3980 (1986).

    Article  ADS  Google Scholar 

  11. M. A. Tiunov, Vestn. Novosib. Gos. Univ., Ser.: Fiz. 9 (2), 36 (2014).

    Google Scholar 

  12. L. G. Zhang, D. Z. Chen, D. Li, K. F. Liu, X. F. Li, R. M. Pan, and M. W. Fan, Fusion Eng. Des. 103, 74 (2016).

    Article  Google Scholar 

  13. H. Buchholz, Elektrische und Magnetische Potentialfelder (Springer-Verlag, Berlin, 1957).

    Book  Google Scholar 

  14. N. I. Muskhelishvili, Singular Integral Equations (Nauka, Moscow, 1968; Wolters-Noordhoff, Groningen, 1972).

  15. A. D. Polyanin and A. V. Manzhirov, Handbook of I-ntegral Equations (Fizmatlit, Moscow, 2003; CRC, Boca Raton, FL, 2008).

  16. I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series, and Products (Academic, New York, 1980).

    MATH  Google Scholar 

  17. Yu. P. Raizer, Gas Discharge Physics (Springer, Berlin, 1991).

    Book  Google Scholar 

Download references

ACKNOWLEDGMENTS

The authors are grateful to Dr. V.I. Davydenko for the interest in this work and useful remarks.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to T. D. Akhmetov.

Additional information

Translated by E. Smirnova

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Akhmetov, T.D., Ivanov, A.A. & Shikhovtsev, I.V. On the Influence of a Faraday Shield on the Vortex Electric Field in a Radio-Frequency Plasma Generator. Plasma Phys. Rep. 47, 732–741 (2021). https://doi.org/10.1134/S1063780X21070011

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063780X21070011

Keywords:

Navigation