Hollow beam distribution of energetic electrons and higher harmonics of electron cyclotron maser

Physics

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Cyclotron Radiation, Electron Distribution, Harmonics, Interstellar Masers, Relativistic Electron Beams, Solar Electrons, Solar Radio Emission, Brightness Temperature, Decimeter Waves, Energetic Particles, Relativistic Particles

Scientific paper

The variations of the growth rates of the electron cyclotron maser (ECM) at the first four harmonics in X-, Z-, and O-modes excited by a hollow beam distribution of weakly relativistic electrons with a parameter xi = omega(p)/Omega(e) are presented in this paper. The results show that the second harmonic of the ECM in X-mode dominates the instability if xi is less than 1, and if xi ranges from approximately 1.2 to 2 or 2.2 to 3, the third or fourth harmonic will dominate. The second and third harmonics of Z-mode waves grow faster only if xi ranges from approximately 2 to 2.2 and 3 to 3.2, respectively, so it would not be a competition in most cases. It is suggested that the ECM emission at these harmonics in X-mode is a possible mechanism to produce solar spike emissions with high brightness temperature at shorter and longer decimetric wavelengths.

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