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

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...

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Bibliographic Details
Published in:Physics of plasmas 2016-06, Vol.23 (6)
Main Authors: Girka, I. O., Girka, V. O., Sydora, R. D., Thumm, M.
Format: Article
Language:English
Subjects:
70 PLASMA PHYSICS AND FUSION TECHNOLOGY
BOLTZMANN EQUATION
Boltzmann transport equation
BOUNDARY CONDITIONS
CYCLOTRON FREQUENCY
CYCLOTRON HARMONICS
CYCLOTRONS
ELECTRIC FIELDS
ELECTRONS
EXCITATION
Harmonics
INTERFACES
MAGNETIC FIELDS
Mathematical analysis
MAXWELL EQUATIONS
Maxwell's equations
METALS
MONOCHROMATIC RADIATION
NONLINEAR PROBLEMS
NUMERICAL ANALYSIS
PARAMETRIC INSTABILITIES
PLASMA
Plasma physics
Stability analysis
Superposition (mathematics)
Surface stability
SURFACES
WAVE PACKETS
WAVEGUIDES
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Summary: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.
ISSN:1070-664X
1089-7674
DOI:10.1063/1.4953421