Abstract
Effective boundary conditions for the electromagnetic field of the slow surface waves of a thinwalled annular plasma in a metal waveguide are derived and justified. With the boundary conditions obtained, there is no need to solve field equations in the plasma region of the waveguide, so that the dispersion properties of plasma waveguides can be investigated analytically for an arbitrary strength of the external magnetic field. Examples are given that show how to use the effective boundary conditions in order to describe surface waves with a normal and an anomalous dispersion. The boundary conditions are then employed to construct a theory of the radiative Cherenkov instabilities of a thin-walled annular electron beam in a waveguide with a thinwalled annular plasma. The single-particle and collective Cherenkov effects associated with low-and high-frequency surface waves in an arbitrary external magnetic field are studied analytically. The method of the effective boundary conditions is justified in the context of application to the problems of plasma relativistic microwave electronics.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Ya. B. Fainberg and M. F. Gorbatenko, Zh. Tekh. Fiz. 29, 549 (1959) [Sov. Phys. Tech. Phys. 4, 487 (1959)].
B. A. Aronov, L. S. Bogdankevich, and A. A. Rukhadze, Zh. Tekh. Fiz. 43, 2493 (1973) [Sov. Phys. Tech. Phys. 18, 1569 (1973)].
A. N. Kondratenko, Plasma Waveguides (Atomizdat, Moscow, 1976).
M. V. Kuzelev, E. V. Liperovkaya, and A. A. Rukhadze, Fiz. Plazmy 4, 433 (1978) [Sov. J. Plasma Phys. 4, 242 (1978)].
M. V. Kuzelev, R. V. Romanov, I. A. Selivanov, et al., in Eigenmodes of a Coaxial Plasma Waveguide in a Finite Magnetic Field (Nauka, Moscow, 1994), Tr. Inst. Obshch. Fiz. Ross. Akad. Nauk 45, 3 (1994).
M. V. Kuzelev, O. T. Loza, A. A. Rukhadze, et al., Fiz. Plazmy 27, 710 (2001) [Plasma Phys. Rep. 27, 669 (2001)].
Encyclopedia of Low-Temperature Plasma, Vol. IV: Plasma Electronics, Ed. by V. E. Fortov (Nauka, Moscow, 2000), p. 87.
Plasma and Electronic Microwave Amplifiers and Oscillators, Ed. by Z. S. Chernov (Sov. Radio, Moscow, 1965).
A. F. Alexandrov, L. S. Bogdankevich, and A. A. Rukhadze, Principles of Plasma Electrodynamics (Vysshaya Shkola, Moscow, 1988; Springer-Verlag, Berlin, 1984).
M. V. Kuzelev and A. A. Rukhadze, Electrodynamics of Dense Electron Beams in a Plasma (Nauka, Moscow, 1990).
M. V. Kuzelev, F. Kh. Mukhametzyanov, and A. G. Shkvarunets, Fiz. Plazmy 9, 1137 (1983) [Sov. J. Plasma Phys. 9, 655 (1983)].
N. A. Krall and A. W. Trivelpiece, Principles of Plasma Physics (Academic, New York, 1973; Mir, Moscow, 1975).
Plasma Electrodynamics, Ed. by A. I. Akhiezer (Nauka, Moscow, 1974; Pergamon, Oxford, 1975).
M. Birau, M. A. Krasil'nikov, M. V. Kuzelev, and A. A. Rukhadze, Usp. Fiz. Nauk 167, 1025 (1997) [Phys. Usp. 40, 975 (1997)].
A. G. Shkvarunets, A. A. Rukhadze, and P. S. Strelkov, Fiz. Plazmy 20, 682 (1994) [Plasma Phys. Rep. 20, 613 (1994)].
M. V. Kuzelev, O. T. Loza, A. V. Ponomarev, et al., Zh. Éksp. Teor. Fiz. 108, 2048 (1996) [JETP 82, 1102 (1996)].
A. N. Tikhonov and A. A. Samarskii, Equations of Mathematical Physics (Nauka, Moscow, 1972, 4th ed.; Pergamon, Oxford, 1964).
Author information
Authors and Affiliations
Additional information
__________
Translated from Fizika Plazmy, Vol. 28, No. 6, 2002, pp. 544–566.
Original Russian Text Copyright © 2002 by Kuzelev.
Rights and permissions
About this article
Cite this article
Kuzelev, M.V. Boundary conditions for the electromagnetic field in a waveguide with a thin-walled annular plasma in the context of application to plasma microwave electronics. Plasma Phys. Rep. 28, 501–523 (2002). https://doi.org/10.1134/1.1485654
Received:
Issue Date:
DOI: https://doi.org/10.1134/1.1485654