Wave Dynamics in PhaseSpace and Ion Gyroresonant Absorption.
Abstract
This thesis is a study of gyroresonance in a nonuniform magnetized plasma. In the first half of the thesis, we briefly review the Lagrangian formulation of the guiding center/oscillation center theory for the case of nonresonance, then we extend it to the gyroresonant particles. We use a Lagrangian variational principle, which naturally leads to the selfconsistent MaxwellVlasov equations with the effects of gyroresonance included. The coupling equations for gyroresonance are the linearized Vlasov equation for the gyroresonant particles, and the wave equation for the electromagnetic perturbation driven by the current of the gyroresonant particles. We present a physical interpretation for the gyroresonance process, as the phasespace mode conversion between the electromagnetic wave and a continuum of gyroresonant ballistic waves. A gyroresonant ballistic wave is an eigenfunction of the linearized Vlasov equation in the absence of electromagnetic perturbations, whose dispersion relation is the same as the local gyroresonance condition. The group velocity of a gyroresonant ballistic wave is the same as the drift velocity of a guiding center, but the wave carries phase information that is essential for its interaction with other waves. In the second half of this thesis, we apply our formalism to the onedimensional model of ion gyroresonant absorption of a magnetosonic wave, which is an outstanding problem in the theory of tokamak heating. Two cases studied are the minority fundamental and the majority second harmonic gyroresonance. The mode conversions occurs at two separate places in wave phasespace, so correspondingly we make a twostep modeconversion approximation. Explicit expressions are derived for the transmission and reflection coefficients. The gyroresonant ballistic waves are kinetic, and contain in them the ionBernstein wave, which in our heuristic model cannot escape from the resonance layer. We project out the ionBernstein wave right after the mode conversion(s), and obtain the "immediate" conversion and absorption coefficients. The conversion coefficient is defined as the fraction of action flux that goes into the ionBernstein wave.
 Publication:

Ph.D. Thesis
 Pub Date:
 June 1990
 Bibcode:
 1990PhDT........40Y
 Keywords:

 Physics: Fluid and Plasma