skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Instability of surface electron cyclotron TM-modes influenced by non-monochromatic alternating electric field

Abstract

The influence of non-monochromaticity of an external alternating electric field on excitation of TM eigenmodes at harmonics of the electron cyclotron frequency is considered here. These TM-modes propagate along the plasma interface in a metal waveguide. An external static constant magnetic field is oriented perpendicularly to the plasma interface. The problem is solved theoretically using the kinetic Vlasov-Boltzmann equation for description of plasma particles motion and the Maxwell equations for description of the electromagnetic mode fields. The external alternating electric field is supposed to be a superposition of two waves, whose amplitudes are different and their frequencies correlate as 2:1. An infinite set of equations for electric field harmonics of these modes is derived with the aid of nonlinear boundary conditions. This set is solved using the wave packet approach consisting of the main harmonic frequency and two nearest satellite temporal harmonics. Analytical studies of the obtained set of equations allow one to find two different regimes of parametric instability, namely, enhancement and suppression of the instability. Numerical analysis of the instability is carried out for the three first electron cyclotron harmonics.

Authors:
;  [1];  [2];  [3]
  1. Department of Applied Physics and Plasma Physics, V.N. Karazin Kharkiv National University (Ukraine)
  2. Faculty of Science, University of Alberta, Edmonton (Canada)
  3. Karlsruhe Institute for Technology, IHM and IHE (Germany)
Publication Date:
OSTI Identifier:
22598969
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physics of Plasmas; Journal Volume: 23; Journal Issue: 6; Other Information: (c) 2016 Author(s); Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY; BOLTZMANN EQUATION; BOUNDARY CONDITIONS; CYCLOTRON FREQUENCY; CYCLOTRON HARMONICS; CYCLOTRONS; ELECTRIC FIELDS; ELECTRONS; EXCITATION; INTERFACES; MAGNETIC FIELDS; MAXWELL EQUATIONS; METALS; MONOCHROMATIC RADIATION; NONLINEAR PROBLEMS; NUMERICAL ANALYSIS; PARAMETRIC INSTABILITIES; PLASMA; SURFACES; WAVE PACKETS; WAVEGUIDES

Citation Formats

Girka, I. O., E-mail: igorgirka@karazin.ua, Girka, V. O., Sydora, R. D., and Thumm, M.. Instability of surface electron cyclotron TM-modes influenced by non-monochromatic alternating electric field. United States: N. p., 2016. Web. doi:10.1063/1.4953421.
Girka, I. O., E-mail: igorgirka@karazin.ua, Girka, V. O., Sydora, R. D., & Thumm, M.. Instability of surface electron cyclotron TM-modes influenced by non-monochromatic alternating electric field. United States. doi:10.1063/1.4953421.
Girka, I. O., E-mail: igorgirka@karazin.ua, Girka, V. O., Sydora, R. D., and Thumm, M.. 2016. "Instability of surface electron cyclotron TM-modes influenced by non-monochromatic alternating electric field". United States. doi:10.1063/1.4953421.
@article{osti_22598969,
title = {Instability of surface electron cyclotron TM-modes influenced by non-monochromatic alternating electric field},
author = {Girka, I. O., E-mail: igorgirka@karazin.ua and Girka, V. O. and Sydora, R. D. and Thumm, M.},
abstractNote = {The influence of non-monochromaticity of an external alternating electric field on excitation of TM eigenmodes at harmonics of the electron cyclotron frequency is considered here. These TM-modes propagate along the plasma interface in a metal waveguide. An external static constant magnetic field is oriented perpendicularly to the plasma interface. The problem is solved theoretically using the kinetic Vlasov-Boltzmann equation for description of plasma particles motion and the Maxwell equations for description of the electromagnetic mode fields. The external alternating electric field is supposed to be a superposition of two waves, whose amplitudes are different and their frequencies correlate as 2:1. An infinite set of equations for electric field harmonics of these modes is derived with the aid of nonlinear boundary conditions. This set is solved using the wave packet approach consisting of the main harmonic frequency and two nearest satellite temporal harmonics. Analytical studies of the obtained set of equations allow one to find two different regimes of parametric instability, namely, enhancement and suppression of the instability. Numerical analysis of the instability is carried out for the three first electron cyclotron harmonics.},
doi = {10.1063/1.4953421},
journal = {Physics of Plasmas},
number = 6,
volume = 23,
place = {United States},
year = 2016,
month = 6
}