1Collisionless wave dissipation in a D-shaped tokamak with Solov’ev type equilibrium

Abstract: Parallel permittivity elements are derived for RF waves in an axisymmetric D-shaped tokamak with Solov’ev type equilibrium. Drift-kinetic equation is solved separately for untrapped (passing or circulating) and three groups of trapped particles as a boundary-value problem, accounting for the bounce resonances. A coordinate system with the "straight " magnetic field lines is used. Our dielectric permittivity elements are suitable to estimate the wave dissipation by electron Landau damping (e.g., during the plasma heating and current drive generation) in the frequency range of the Alfvén and fast magnetosonic waves, for both the large and low aspect ratio tokamaks with circular, elliptic and D-shaped magnetic surfaces. Dissipated wave power is expressed by the summation of terms including the imaginary parts of both the diagonal and non-diagonal elements of the parallel permittivity