Abstract
This paper discusses the generation of parametric instabilities in laser heating of plasmas confined in a linear magnetic device. The nonlinearities are taken into account by the inclusion of a ponderomotive force. We derive a generalized dielectric tensor and the corresponding dispersion relation which enables us to determine the instability thresholds and linearized growth rates. The cases where the parametrically excited low frequency wave propagates either parallel or perpendicular to the magnetic field are analyzed in detail. Propagation in an oblique direction is briefly described. As regards the laser heating schemes, the low frequency filamentation and the stimulated Brillouin scattering seem to pose a possible difficulty. Fortunately, several of the potential instabilities cannot be excited in the configuration considered.
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