Radiofrequency parallel permittivity of magnetized plasmas in low aspect ratio tokamaks

The solution of the Vlasov equation is presented for axially symmetric low aspect ratio tokamak plasmas having magnetic surfaces with a circular cross section. The analytical expression for the parallel component of the dielectric permittivity tensor of trapped and untrapped particles is obtained. This expression is used for theoretical analyses of the low aspect ratio effect on the bounce-resonance wave dissipation. The evaluated dielectric tensor components can be used for computer calculations of the radio frequency (RF) field structure and the RF dissipated power in the low aspect ratio tokamak plasmas. (author)