Abstract
A general method is developed for a numerical analysis of the frequency spectra of internal, internal-surface, and surface slow waves in a waveguide with transverse plasma density variations. For waveguides with a piecewise constant plasma filling, the spectra of slow waves are thoroughly examined in the limits of an infinitely weak and an infinitely strong external magnetic field. For a smooth plasma density profile, the frequency spectrum of long-wavelength surface waves remains unchanged, but a slow damping rate appears that is caused by the conversion of the surface waves into internal plasma waves at the plasma resonance point. As for short-wavelength internal waves, they are strongly damped by this effect. It is pointed out that, for annular plasma geometry, which is of interest from the experimental point of view, the spectrum of the surface waves depends weakly on the magnetic field strength in the waveguide.
Similar content being viewed by others
References
A. F. Alexandrov, L. S. Bogdankevich, and A. A. Rukhadze, Principles of Plasma Electrodynamics (Vysshaya Shkola, Moscow, 1978; Springer-Verlag, Berlin, 1984).
V. S. Vladimirov, Equations of Mathematical Physics (Nauka, Moscow, 1971; Dekker, New York, 1971).
A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics (Nauka, Moscow, 1972; Pergamon Press, Oxford, 1964).
Yu. N. Dnestrovskij, D. P. Kostomarov, G. P. Pereverzev, and A. V. Pogosyan, Fiz. Plazmy 1, 623 (1975) [Sov. J. Plasma Phys. 1, 344 (1975)].
M. V. Kuzelev, R. V. Romanov, and A. A. Rukhadze, Fiz. Plazmy 27, 260 (2001) [Plasma Phys. Rep. 27, 243 (2001)].
A. S. Il’inskii, V. V. Kravtsov, and A. G. Sveshnikov, Mathematical Models in Electrodynamics (Vysshaya Shkola, Moscow, 1991).
V. V. Nikol’skii and T. I. Nikol’skaya, Electrodynamics and Wave Propagation (Nauka, Moscow, 1989).
M. V. Kuzelev, A. A. Rukhadze, and P. S. Strelkov, Plasma Relativistic Microwave Electronics (MGTU im. N.É. Baumana, Moscow, 2002).
M. V. Kuzelev and A. A. Rukhadze, Fiz. Plazmy 25, 471 (1999) [Plasma Phys. Rep. 25, 426 (1999)].
M. V. Kuzelev and A. A. Rukhadze, Fiz. Plazmy 26, 250 (2000) [Plasma Phys. Rep. 26, 231 (2000)].
Handbook of Mathematical Functions, Ed. by M. Abramowitz and I. A. Stegun (Dover, New York, 1965; Nauka, Moscow, 1979).
A. E. Dubinov, I. D. Dubinova, and S. K. Saikov, Lambert W Function (SarFTI, Sarov, 2004).
A. V. Timofeev, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Atomizdat, Moscow, 1979; Consultants Bureau, New York, 1986), Vol. 9.
V. A. Mazur, A. B. Mikhailovskii, A. L. Frenkel’, and I. G. Shukhman, in Reviews of Plasma Physics, Ed. by M. A. Leontovich (Atomizdat, Moscow, 1979; Consultants Bureau, New York, 1986), Vol. 9.
M. V. Kuzelev, O. T. Loza, A. A. Rukhadze, et al., Fiz. Plazmy 27, 710 (2001) [Plasma Phys. Rep. 27, 669 (2001)].
M. V. Kuzelev, Fiz. Plazmy 28, 544 (2002) [Plasma Phys. Rep. 28, 501 (2002)].
Author information
Authors and Affiliations
Additional information
__________
Translated from Fizika Plazmy, Vol. 31, No. 2, 2005, pp. 172–191.
Original Russian Text Copyright © 2005 by Kuzelev, Romanov, Rukhadze.
Rights and permissions
About this article
Cite this article
Kuzelev, M.V., Romanov, R.V. & Rukhadze, A.A. Theory of slow waves in transversely nonuniform plasma waveguides. Plasma Phys. Rep. 31, 147–166 (2005). https://doi.org/10.1134/1.1866597
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1134/1.1866597