Error field amplification near the stability boundary of the modes interacting with a conducting wall

The effect is considered of the amplification of an external resonant error field near the stability boundary of the so-called resistive wall modes observed in the DIII-D tokamak. The analysis is performed in a standard cylindrical approximation. The model is based on Maxwell’s equations and Ohm’s law; therefore, the results of the analysis are valid for any large-scale modes interacting with a conducting wall. In contrast to earlier approaches, the model considers the resonant field amplification as a dynamic effect. It is shown that, when the effect is the strongest, the stationary solutions proposed earlier are inapplicable. The problem of plasma response to a probing pulse of the resonant field of a given amplitude and duration is analyzed. The relationships obtained explain the basic features of the observed phenomena in the DIII-D tokamak and allow direct experimental verification.