Abstract
The theory of parametric excitations in a magnetized plasma by the action of a driver pump with time-varying amplitude and phase is developed. As a concrete example, amplitude modulation in the form of rectangular pulse train and phase modulation in a sinusoidal form are assumed. Both nonresonant interaction, when the driven-pump carrier frequency is larger than all high eigenfrequencies of magnetized plasma, and resonant interaction, when the carrier frequency is equal to some of the higher magnetized plasma eigenfrequencies, are studied. Excitations of upper-hybrid, lower-hybrid, and oblique Langmuir waves coupled to ion-acoustic waves are considered. In all of these cases threshold values and parametric growth rates are obtained and compared with the case of a monochromatic driver pump (constant amplitude and phase). The relevance of the results obtained is discussed for laser and microwave-plasma interactions.
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