A radio-frequency sheath boundary condition and its effect on slow wave propagation

Abstract

Predictive modeling of radio-frequency wave propagation in high-power fusion experiments requires accounting for nonlinear losses of wave energy in the plasma edge and at the wall. An important mechanism of “anomalous” power losses is the acceleration of ions into the walls by rf sheath potentials. Previous work computed the “sheath power dissipation” non-self-consistently by postprocessing fields obtained as the solution of models which did not retain sheaths. Here, a method is proposed for a self-consistent quantitative calculation of sheath losses by incorporating a sheath boundary condition (SBC) in antenna coupling and wave propagation codes. It obtains the self-consistent sheath potentials and spatial distribution of the time-averaged power loss in the solution for the linear rf fields. It can be applied for ion cyclotron and (in some cases) lower hybrid waves. The use of the SBC is illustrated by applying it to the problem of an electron plasma wave propagating in a waveguide. This model problem is relevant to understanding the low heating efficiency in direct ion-Bernstein wave launch. Implications for calculating sheath voltages driven by fast-wave antennas are also discussed.