As. Sakharov et Ma. Tereshchenko, ENERGY-TRANSPORT BY LOCALLY TRAPPED ELECTRONS DURING ELECTRON-CYCLOTRON HEATING OF STELLARATOR PLASMA, Plasma physics reports, 21(2), 1995, pp. 93-104
An increase in the energy transport by the locally trapped electrons i
n the active electron-cyclotron heating stage is considered as a possi
ble channel of fast input-power losses. The two-dimensional Fokker-Pla
nck equation is used to describe the evolution of the trapped electron
distribution function due to microwaves and Coulomb collisions. Expre
ssions for the quasi-linear diffusion coefficient are obtained for qua
si-transverse propagation of both the ordinary wave at the fundamental
harmonic of the cyclotron frequency and the extraordinary wave at the
second harmonic. These expressions incorporate the magnetic field inh
omogeneity along the force lines, relativistic corrections, inhomogene
ity of the microwave intensity associated with the finite electromagne
tic field width, and spatial wave damping. Numerical calculations are
performed using the approximation of the steady-state distribution fun
ction and assuming that there is only a radial drift of the trapped el
ectrons. The calculations show that the effect under consideration can
substantially increase the input-power losses when the single-pass co
llisionless wave damping is not too large.