The efficiency of current drive by X-mode electron cyclotron waves is calculated using the weakly relativistic resonance condition in a full Fokker-Planck treatment which includes electron-electron collisions. For suprathermal resonant electrons the values obtained are less by a factor (Z + 5)/Z than those predicted by the Lorentz gas model. However, this relationship is found not to hold for resonant parallel velocities less than the thermal velocity. A ray tracing code, incorporating the calculated current drive efficiencies, has been used to study the relativistic corrections for X-mode second harmonic waves injected from the low field side into a Tokamak the size of DITE.
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Start et al. (1983) studied this question.
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