Skip to main content

Theory of azimuthal surface waves propagating in non-uniform waveguides

  • V. O. GIRKA (a1), I. O. GIRKA (a1), A. V. GIRKA (a1) and I. V. PAVLENKO (a1)

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.

Hide All
[1]Vucovic, S. 1986 Surface Waves in Plasma and Solids. New York: World Scientific.
[2]Girka, V., Girka, I., Kondratenko, A. and Tkachenko, V. 1989 J. Commun. Technol. Electron. 34, 296.
[3]Kudrin, A. V., Petrov, E. Yu., Kyriacou, G. A. and Zaboronkova, T. M. 2005 Prog. Electromagn. Res. 53, 135.
[4]Gradov, O. M. and Stenflo, L. 1983 Phys. Rep. (Review Section of Phys. Lett.) 94, 111.
[5]Gradov, O. M. and Stenflo, L. 1984 Plasma Phys. Contr. Fusion 26, 759.
[6]Gradov, O. M., Stenflo, L. and Sunder, D. 1985 J. Plasma Phys. 33, 53.
[7]Gradov, O. M. and Stenflo, L. 2001 J. Plasma Phys. 65, 73.
[8]Ivanov, S. T., Nonaka, S. and Nikolaev, N. I. 2001 J. Plasma Phys. 65, (Part 1) 273 and (Part 2) 291.
[9]Daryanoosh, S. and Mehdian, H. 2007 J. Plasma Phys. 73, 839.
[10]Cramer, N. F., Yeung, L. K. and Vladimirov, S. V. 1998 Phys. Plasmas. 5, 3126.
[11]Shukla, P. K. and Stenflo, L. 2008 J. Plasma Phys. 74, 287.
[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. 229248.
[13]Aliev, Yu. M., Schluter, H. and Shivarova, A. 2000 Guided-Wave Produced Plasmas. New York: Springer.
[14]Hatta, A., Ushigusa, Y., Yasaka, Y. and Itatani, R. 1996 Plasma Sources Sci. Technol. 5, 28.
[15]Hiyama, S., Ono, T., Iizuka, S. and Sato, N. 1996 Plasma Sources Sci. Technol. 5, 299.
[16]Winter, R., Korzec, D. and Engemann, J. 1997 Surf. Coat. Technol. 93, 134.
[17]Ushigusa, K., Seki, M., Suganuma, K., Toyoshima, N. and Ikeda, Y. 1999 Fusion Engineer. Design. 45, 137.
[18]Girka, V. and Girka, I. 1990 Radiophys. Quantum Electron. 33, 516.
[19]Abramowitz, M. and Stegun, I. A., ed. 1964 Handbook of Mathematical Functions. National Bureau of Standards (Applied Mathematics, Series 55).
[20]Girka, V. and Girka, I. 1991 Radiophys.Quantum Electron. 34, 386.
[21]Girka, V., Girka, I., Kondratenko, A. and Tkachenko, V. 1988 J. Commun. Technol. Electron. 33, 1031.
[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.
[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. 209350 (in Russian).
[24]Girka, V., Girka, I. and Pavlenko, I. 1997 Plasma Phys. Rep. 23, 1037.
[25]Azarenkov, N. A. and Ostrikov, K. N. 1999 Phys. Rep. 308, 333.
[26]Landau, L. D. and Lifshits, E. M. 1977 Course of Theoretical Physics. V.3, Quantum Mechanics. Oxford: Pergamon Press.
[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. 68208 (in Russian).
[28]Girka, I. 2002 Tech. Phys. 72, 52.
[29]Rjutov, D. D. 1988 Uspekhi fizicheskih nauk. 4, 565 (in Russian).
[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.
[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.
[32]Beidler, C. D., Kolesnichenko, Ya. I., Marchenko, V. S., Sidorenko, I. N. and Wobig, H. 2001 Phys. Plasmas. 8, 2731.
[33]Kolesnichenko, Ya. I., Lutsenko, V. V., Wobig, H., Yakovenko, Yu. V. and Fesenyuk, O. P. 2001 Phys. Plasmas. 8, 491.
[34]Girka, I. and Stepanov, K. 1992 Ukrainian Phys. J. 37, 69 (in Russian).
[35]Girka, I., Lapshin, V. and Stepanov, K. 1998 Plasma Phys. Rep. 24, 1015.
[36]Girka, I., Lapshin, V. and Stepanov, K. 1994 Plasma Phys. Rep. 20, 1020.
[37]Beljaev, M., Girka, I. and Gritsyna, V. 2003 Plasma Phys. Rep. 29, 432.
[38]Girka, I. O. 1996 Preprint of Max-Planck-Institut fuer Plasmaphysik, 85748 Garching bei Muenchen, FRG. IPP 4/274.
[39]Girka, V. and Girka, I. 2006 Plasma Phys. Rep. 32, 750.
[40]Krall, N. A. and Trivelpiece, A. W. 1973 Principles of Plasma Physics. New York: McGraw-Hill Book Company.
[41]Kuzelev, M. V. and Rukhadze, A. A. 1990 Dense Electron Beams in Plasmas. Moscow: Nauka (in Russian).
[42]Ferreira, C. M. and Moisan, M. 1993 NATO Adv. Study Inst. Ser. B: Phys. 302, 187.
[43]Girka, V., Azarenkov, M. and Pavlenko, I. 2000 Contrib. Plasma Phys. 40, 529.
[44]Zhelyazkov, I. and Atanasov, V. 1995 Phys. Rep. 255, 79.
[45]Aliev, Yu. M., Boev, A. G. and Shivarova, A. P. 1982 Phys. Lett. 92A, 235.
[46]Aliev, Yu. M., Boev, A. G. and Shivarova, A. P. 1984 J. Phys. D: Appl. Phys. 17, 2233.
[47]Margot, J., Moisan, M. and Fortin, M. 1995 J. Vac. Sci. Technol. A. 13, 2890.
[48]Girka, V., Girka, I. and Pavlenko, I. 2001 Contrib. Plasma Phys. 41, 393.
[49]Azarenkov, N., Denysenko, I. and Ostrikov, K. 1998 J. Plasma Phys. 59, 15.
[50]Girka, V. and Girka, I. 2002 Plasma Phys. Rep. 28, 739.
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Journal of Plasma Physics
  • ISSN: 0022-3778
  • EISSN: 1469-7807
  • URL: /core/journals/journal-of-plasma-physics
Please enter your name
Please enter a valid email address
Who would you like to send this to? *


Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed