Gaussian Packets and Beams with Focal Points in Vector Problems of Plasma Physics

We consider a linearized equation describing plasma motion in a toroidal domain (tokamak) and study the asymptotic forms of steady-state solutions of the Gaussian beam type with a short wave length, which correspond to electric modes. We also study Gaussian wave packets and localized “cigar”-type beams describing the transmission of localized perturbations through the tokamak chamber. We separately consider the case of focal points on a trajectory and the asymptotic forms in a neighborhood of a focal point.