Abstract
The contributions of trapped and untrapped particles to the longitudinal permeability of a toroidal plasma are analyzed for radio frequency waves in a wide range of frequencies, mode numbers, and plasma parameters. A collisionless plasma model of an axisymmetric tokamak with circular magnetic surfaces and large aspect ratio is considered. The analytical expressions of the longitudinal permeability elements are obtained by using the kinetic theory of dielectric tensor components, where the Vlasov equation is solved as a boundary-value problem. The radial structures of the imaginary part of the longitudinal permeability (for both the untrapped and trapped particles) are studied for parabolic profiles of plasma density, temperature, and tokamak safety factor. The results of the paper are interesting for the problems of Alfvén (and lower-hybrid) resonance heating and current drive by the Čerenkov dissipation mechanism of the waves in toroidal plasmas.
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