Abstract

A general formalism of parametric instabilities of electrostatic and electromagnetic waves in a magnetized plasma is presented. The Vlasov equation has been solved in the guiding center variables, incorporating the effects of finite wave number of pump, finite Larmor radius, resonant wave-particle interaction, and diamagnetic drift. In the limit of small Larmor radius, drift kinetic equation provides a simpler description. When applicable, fluid theory is used to yield a clearer physical picture. Only when the decay waves have wavelengths much shorter than that of the pump, the dipole pump ( k 0 = 0) approximation usually employed, is valid and the coupling coefficient, including full kinetic effects on the decay wa ves, is expressible in terms of electron and ion susceptibilities. The scheme adopted here is applicable to laboratory experiments as well as space plasma.

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