SELF-CONSISTENT, ANALYTIC, PERIODIC-LOOP-ANTENNA THEORY

Loop-antenna coupling to toroidal plasma is simulated in a flat geometry by an infinitely repeated array of finite loops in order to obtain a discrete spectrum along the y (azimuthal) as well as the z (toroidal) directions. The electromagnetic field of the entire configuration, including the wall, the plasma, and the Faraday shield, is analytically expressed in terms of the antenna current. The self-consistent antenna current is determined by variational techniques which also yield the antenna impedance. Finally, the theory is specially applied to the case of ion-cyclotron-wave coupling.