Nonlinear Interaction Between Circularly Polarized Waves and Electron Plasma Waves

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Abstract
This paper presents a general analysis of nonlinear three‐wave interaction in a hot magnetoplasma between circularly polarized waves propagating at small angles to the static magnetic field, and electron plasma (Langmuir) waves propagating parallel. First, the coupled mode equations are derived by iterative solution of the Vlasov equation. Simplified expressions for the coupling coefficients are then obtained for all of the wave combinations for which the frequency and wave number synchronism conditions can be satisfied, and the wave coupling coefficients are nonzero. These comprise interactions among three right‐hand polarized waves, two circularly polarized waves and one Langmuir wave, and three Langmuir waves. The paper concludes with a brief discussion of the specific cases most likely to be worth subjecting to detailed numerical analysis.

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