Theory of Multiple Harmonic Electromagnetic Radiation

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7534 Radio Emissions, 7839 Nonlinear Phenomena (4400, 6944), 7847 Radiation Processes, 7867 Wave/Particle Interactions (2483, 6984), 7868 Wave/Wave Interactions

Scientific paper

The plasma emission (the radiation emission at the plasma frequency and its second harmonic), is widely believed to be the process responsible for solar type II and type III radio bursts. The traditional theory based upon weak turbulence three-wave and nonlinear wave-particle interaction processes predicts radiation emission primarily at the fundamental and second harmonic of the plasma frequency. On the other hand, recent theory and one-dimensional electrostatic particle-in-cell computer simulation of beam-plasma interaction demonstrate that multiple harmonics of electrostatic plasma oscillation frequency can be excited. In the accompanying paper (Rhee et al.), results of two-dimensional electromagnetic particle-in-cell simulation of beam-plasma interaction process are discussed in which it is reported that long-wavelength electromagnetic radiation is generated at multiple harmonics of the plasma frequency in addition to short-wavelength electrostatic multiple harmonics. Electromagnetic harmonics are distinct from the electrostatic counterpart by the long wavelength. The present paper presents a theoretical explanation for such a phenomenon. The recently-developed generalized weak turbulence theory forms the underlying framework of the present explanation. Specifically, it is argued that the three-wave interaction of electrostatic multiple harmonic modes with the transverse radiation leads to the observed high-harmonic electromagnetic radiation.

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