Abstract
Using the Vlasov–Poisson formalism a theory of parametric interaction of n driver pumps with magnetized plasmas is developed. The interaction when the plasma appears to be transparent to all driver pumps is studied. It is shown that in this case a variety of parametric instabilities exist which are absent in a single driver pump-plasma interaction. The resonant interaction is also considered. Threshold values and parametric growth rates are obtained for the case of excitation of electron-Bernstein modes coupled to ion-Bernstein modes. The relevance of the results obtained is discussed for electromagnetic wave-ionospheric plasma interaction and laboratory plasma experiments.
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