Structure Formation by Modulational Interaction between Lower-Hybrid Waves and Dispersive Alfve'n Waves
Résumé
We consider the interaction between finite amplitude lower hybrid (LH) waves and dispersive Alfve'n (DA) waves. For this purpose, we derive a set of three-dimensional equations governing nonlinear coupled LH and DA waves that are propagating obliquely to an external magnetic field. The interaction between the two wave modes is due to the Raynolds' stress of the LH waves and the density perturbation associated with the DA wave. Additional terms due to self-nonlinearity of the DA wave are included in order to describe large amplitude DA waves. The governing equations are analyzed for three-wave decay and modulational interaction. We present nonlinear dispersion relations describing the instability of a finite amplitude pump LH wave. In addition, we present a numerical solution of the three-dimensional equations.
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