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Theory of azimuthal surface waves propagating in non-uniform waveguides

Published online by Cambridge University Press:  16 November 2010

V. O. GIRKA ,
I. O. GIRKA ,
A. V. GIRKA  and
I. V. PAVLENKO
V. O. GIRKA
Affiliation:
Kharkiv National University, Svobody sq., 4 Kharkiv 61077, Ukraine ([email protected])
I. O. GIRKA
Affiliation:
Kharkiv National University, Svobody sq., 4 Kharkiv 61077, Ukraine ([email protected])
A. V. GIRKA
Affiliation:
Kharkiv National University, Svobody sq., 4 Kharkiv 61077, Ukraine ([email protected])
I. V. PAVLENKO
Affiliation:
Kharkiv National University, Svobody sq., 4 Kharkiv 61077, Ukraine ([email protected])
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Abstract

This paper is devoted to the theory of surface waves propagating across axis of symmetry in non-uniform cylindrical metal waveguides with plasma filling. The presented results are devoted to: first, studying an influence of plasma density non-uniformity on the features of these waves; second, studying an influence of an external magnetic fields' non-uniformity on their dispersion properties; third, studying possibility to sustain gas discharge by propagation of these waves under different operating regimes. The problems have been solved both analytically and numerically. Plasma particles are described in the framework of hydrodynamics; fields of the studied waves are determined by a set of Maxwell equations. Analytical research of the obtained equations is carried out by the method of successive approximation; adequacy of such approach is proved here as well. Numerical evaluations of the possibilities to observe experimentally the phenomena, which accompany propagation of these waves, are carried out.

Type
Papers
Information
Journal of Plasma Physics , Volume 77 , Issue 4 , August 2011 , pp. 493 - 519
Copyright
Copyright © Cambridge University Press 2010

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References

[1]Vucovic, S. 1986 Surface Waves in Plasma and Solids. New York: World Scientific.Google Scholar
[2]Girka, V., Girka, I., Kondratenko, A. and Tkachenko, V. 1989 J. Commun. Technol. Electron. 34, 296.Google Scholar
[3]Kudrin, A. V., Petrov, E. Yu., Kyriacou, G. A. and Zaboronkova, T. M. 2005 Prog. Electromagn. Res. 53, 135.Google Scholar
[4]Gradov, O. M. and Stenflo, L. 1983 Phys. Rep. (Review Section of Phys. Lett.) 94, 111.Google Scholar
[5]Gradov, O. M. and Stenflo, L. 1984 Plasma Phys. Contr. Fusion 26, 759.Google Scholar
[6]Gradov, O. M., Stenflo, L. and Sunder, D. 1985 J. Plasma Phys. 33, 53.CrossRefGoogle Scholar
[7]Gradov, O. M. and Stenflo, L. 2001 J. Plasma Phys. 65, 73.CrossRefGoogle Scholar
[8]Ivanov, S. T., Nonaka, S. and Nikolaev, N. I. 2001 J. Plasma Phys. 65, (Part 1) 273 and (Part 2) 291.Google Scholar
[9]Daryanoosh, S. and Mehdian, H. 2007 J. Plasma Phys. 73, 839.Google Scholar
[10]Cramer, N. F., Yeung, L. K. and Vladimirov, S. V. 1998 Phys. Plasmas. 5, 3126.CrossRefGoogle Scholar
[11]Shukla, P. K. and Stenflo, L. 2008 J. Plasma Phys. 74, 287.Google Scholar
[12]Margot, J. and Moisan, M. 1992 Surface wave sustained plasmas in static magnetic fields for study of ECR discharge mechanisms. In: Microwave Excited Plasmas (ed. Moisan, M. and Pelletier, J.). Amsterdam: Elsevier, pp. 229–248.Google Scholar
[13]Aliev, Yu. M., Schluter, H. and Shivarova, A. 2000 Guided-Wave Produced Plasmas. New York: Springer.CrossRefGoogle Scholar
[14]Hatta, A., Ushigusa, Y., Yasaka, Y. and Itatani, R. 1996 Plasma Sources Sci. Technol. 5, 28.CrossRefGoogle Scholar
[15]Hiyama, S., Ono, T., Iizuka, S. and Sato, N. 1996 Plasma Sources Sci. Technol. 5, 299.Google Scholar
[16]Winter, R., Korzec, D. and Engemann, J. 1997 Surf. Coat. Technol. 93, 134.Google Scholar
[17]Ushigusa, K., Seki, M., Suganuma, K., Toyoshima, N. and Ikeda, Y. 1999 Fusion Engineer. Design. 45, 137.Google Scholar
[18]Girka, V. and Girka, I. 1990 Radiophys. Quantum Electron. 33, 516.Google Scholar
[19]Abramowitz, M. and Stegun, I. A., ed. 1964 Handbook of Mathematical Functions. National Bureau of Standards (Applied Mathematics, Series 55).Google Scholar
[20]Girka, V. and Girka, I. 1991 Radiophys.Quantum Electron. 34, 386.Google Scholar
[21]Girka, V., Girka, I., Kondratenko, A. and Tkachenko, V. 1988 J. Commun. Technol. Electron. 33, 1031.Google Scholar
[22]Girka, I. and Girka, V. 1994 In: Proc. Contributed Papers Int. Conf. on Plasma Physics Combined with 6th Latin American Workshop on Plasma Physics, Vol. 1, Brazil: Foz Do Iguacu, 21.Google Scholar
[23]Kadomtsev, B. B. and Pogutse, O. P. 1967 Turbulent process in toroidal systems. – In: Problems of Plasma Theory. Vol. 5 (ed. Leontovich, M. A.). Moscow: Atomizdat, pp. 209–350 (in Russian).Google Scholar
[24]Girka, V., Girka, I. and Pavlenko, I. 1997 Plasma Phys. Rep. 23, 1037.Google Scholar
[25]Azarenkov, N. A. and Ostrikov, K. N. 1999 Phys. Rep. 308, 333.Google Scholar
[26]Landau, L. D. and Lifshits, E. M. 1977 Course of Theoretical Physics. V.3, Quantum Mechanics. Oxford: Pergamon Press.Google Scholar
[27]Nedospasou, A. V. and Tokar, M. Z. 1990 Peripheral plasma in tokamaks. In: Problems of Plasma Theory, Vol. 18 (ed. Kadomtsev, B. B.). Moscow: Energoatomizdat, pp. 68–208 (in Russian).Google Scholar
[28]Girka, I. 2002 Tech. Phys. 72, 52.Google Scholar
[29]Rjutov, D. D. 1988 Uspekhi fizicheskih nauk. 4, 565 (in Russian).Google Scholar
[30]Baity, F. W., Berry, L. A., Bighel, L., Cobble, J. A., Clchin, R. J., Davis, W. A., Eason, H. O., Glowienka, J. C., Haste, G. R., Hillis, D. L., Hiroe, S., Richards, R. K., Uckan, T., White, T. L., Wilgen, J. B., Barter, J. D., Di Vergilio, W. F., Lao, L. L., Lazar, N. H., Quon, B. H., Samec, T. K., Wuerker, W., Bieniosek, F. M., Mullen, J. H., Owens, T. L., Dandl, R. A., Guest, G. E., Hallock, G. A. and Solensten, L. 1983 In: Proc. 9th Conf. on Plasma Physics and Controlled Nuclear Fusion Research, Vol. 2. Baltimore, p. 185.Google Scholar
[31]Fujiwara, M., Kamimura, R., Hosakawa, M., Shoji, T., Iguchi, H., Sanuki, H., Tanaka, M., Aizawa, M., Takasugi, K., Tsuboi, F., Tsuchidate, H., Matsunaga, K., Kadota, K., Tsushima, A., Whang, K. W. and Ikegami, H. 1983 Ibid, p. 197.Google Scholar
[32]Beidler, C. D., Kolesnichenko, Ya. I., Marchenko, V. S., Sidorenko, I. N. and Wobig, H. 2001 Phys. Plasmas. 8, 2731.CrossRefGoogle Scholar
[33]Kolesnichenko, Ya. I., Lutsenko, V. V., Wobig, H., Yakovenko, Yu. V. and Fesenyuk, O. P. 2001 Phys. Plasmas. 8, 491.Google Scholar
[34]Girka, I. and Stepanov, K. 1992 Ukrainian Phys. J. 37, 69 (in Russian).Google Scholar
[35]Girka, I., Lapshin, V. and Stepanov, K. 1998 Plasma Phys. Rep. 24, 1015.Google Scholar
[36]Girka, I., Lapshin, V. and Stepanov, K. 1994 Plasma Phys. Rep. 20, 1020.Google Scholar
[37]Beljaev, M., Girka, I. and Gritsyna, V. 2003 Plasma Phys. Rep. 29, 432.Google Scholar
[38]Girka, I. O. 1996 Preprint of Max-Planck-Institut fuer Plasmaphysik, 85748 Garching bei Muenchen, FRG. IPP 4/274.Google Scholar
[39]Girka, V. and Girka, I. 2006 Plasma Phys. Rep. 32, 750.Google Scholar
[40]Krall, N. A. and Trivelpiece, A. W. 1973 Principles of Plasma Physics. New York: McGraw-Hill Book Company.CrossRefGoogle Scholar
[41]Kuzelev, M. V. and Rukhadze, A. A. 1990 Dense Electron Beams in Plasmas. Moscow: Nauka (in Russian).Google Scholar
[42]Ferreira, C. M. and Moisan, M. 1993 NATO Adv. Study Inst. Ser. B: Phys. 302, 187.Google Scholar
[43]Girka, V., Azarenkov, M. and Pavlenko, I. 2000 Contrib. Plasma Phys. 40, 529.Google Scholar
[44]Zhelyazkov, I. and Atanasov, V. 1995 Phys. Rep. 255, 79.CrossRefGoogle Scholar
[45]Aliev, Yu. M., Boev, A. G. and Shivarova, A. P. 1982 Phys. Lett. 92A, 235.CrossRefGoogle Scholar
[46]Aliev, Yu. M., Boev, A. G. and Shivarova, A. P. 1984 J. Phys. D: Appl. Phys. 17, 2233.Google Scholar
[47]Margot, J., Moisan, M. and Fortin, M. 1995 J. Vac. Sci. Technol. A. 13, 2890.CrossRefGoogle Scholar
[48]Girka, V., Girka, I. and Pavlenko, I. 2001 Contrib. Plasma Phys. 41, 393.3.0.CO;2-B>CrossRefGoogle Scholar
[49]Azarenkov, N., Denysenko, I. and Ostrikov, K. 1998 J. Plasma Phys. 59, 15.CrossRefGoogle Scholar
[50]Girka, V. and Girka, I. 2002 Plasma Phys. Rep. 28, 739.Google Scholar