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.
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REFERENCES
J. Hopwood, Plasma Sources Sci. Technol. 1, 109 (1992).
T. Okumura, Phys. Res. Int. 2010, 164249 (2010).
E. Speth and NBI-Team, Plasma Sci. Technol. 6, 2135 (2004).
W. Kraus, U. Fantz, P. Franzen, M. Fröschle, B. Heinemann, R. Riedl, and D. Wünderlich, Rev. Sci. Instrum. 83, 02B104 (2012).
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).
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).
A. A. Ivanov, A. A. Podyminogin, and I. V. Shikhovtsev, Tech. Phys. 52, 99 (2007).
J. Grosser and H. Schulz, J. Phys. D: Appl. Phys. 22, 723 (1989).
D. W. Faulconer, J. Appl. Phys. 54, 3810 (1983).
D. N. Smithe, R. J. Kashuba, and T. Kammash, J. Appl. Phys. 59, 3980 (1986).
M. A. Tiunov, Vestn. Novosib. Gos. Univ., Ser.: Fiz. 9 (2), 36 (2014).
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).
H. Buchholz, Elektrische und Magnetische Potentialfelder (Springer-Verlag, Berlin, 1957).
N. I. Muskhelishvili, Singular Integral Equations (Nauka, Moscow, 1968; Wolters-Noordhoff, Groningen, 1972).
A. D. Polyanin and A. V. Manzhirov, Handbook of I-ntegral Equations (Fizmatlit, Moscow, 2003; CRC, Boca Raton, FL, 2008).
I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series, and Products (Academic, New York, 1980).
Yu. P. Raizer, Gas Discharge Physics (Springer, Berlin, 1991).
ACKNOWLEDGMENTS
The authors are grateful to Dr. V.I. Davydenko for the interest in this work and useful remarks.
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Translated by E. Smirnova
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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
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DOI: https://doi.org/10.1134/S1063780X21070011