Mode Coupling and Wave Particle Interactions for Unstable Ion Acoustic Waves.
CALIFORNIA UNIV LOS ANGELES PLASMA PHYSICS GROUP
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A theory for the spatial development of linearly unstable, coupled waves is presented in which both quasi-linear and mode coupling effects are treated in a self-consistent manner. Steady state excitation of two waves with frequencies omega sub 1, omega sub 2 is assumed at the boundary x 0, the plasma being homogeneous in the y and z directions. Coupled equations are derived for the x dependence of the amplitudes of the primary waves omega sub 1, omega sub 2 and the secondary waves, nomega sub 1 momega sub 2 n and m being integers, correct through terms of second order in the wave amplitude, but without the usual approximation of small growth rates. This general formalism is the applied to the case of coupled ion acoustic waves driven unstable by an ion beam streaming in the direction of the x axis. Author
- Plasma Physics and Magnetohydrodynamics