Nonlinear analysis of two contra-streaming electron beams - Plasma system

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Earth Magnetosphere, Electron Beams, Nonlinear Systems, Plasma-Electromagnetic Interaction, Plasma-Particle Interactions, Propagation Modes, Amplitudes, Auroral Zones, Cyclotron Frequency, Electron Energy

Scientific paper

A nonlinear analysis of a magnetoplasma system containing two contrastreaming electron beams is performed to determine the amplitudes of RF modes with frequencies equal to (n + 1/2) times the electron cyclotron frequency, where n is an integer. The two contrastreaming electron beams and the steady-state plasma are considered as three independent subsystems of the full systems, a normal-mode analysis of each subsystem is carried out to obtain the positive- and negative-energy modes, and the nonlinear dispersion relation is solved. The mode with a frequency equal to 3/2 of the electron cyclotron frequency (i.e., n = 1) is found to have the maximum amplitude. It is therefore concluded that the interaction of two contrastreaming electron beams is the cause of the RF emission at the 3/2 harmonic of electron cyclotron frequency that has been observed at auroral latitudes.

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