Jc. Helmer et J. Feinstein, PONDEROMOTIVE TRANSPORT OF CHARGE IN THE INDUCTION PLASMA, Journal of vacuum science & technology. B, Microelectronics and nanometer structures processing, measurement and phenomena, 12(1), 1994, pp. 507-511
The transformer coupled plasma reactor (TCP) is a low frequency, induc
tively coupled plasma reactor, with a gradient electromagnetic source
field, such that electrons experience a secular (time average) force-t
he ponderomotive force. There are two electric forces and one magnetic
force, the latter of which is strongly active in the TCP. The pondero
motive force has previously been explored for confinement in fusion re
actors, but has not been discussed in connection with semiconductor pr
ocessing. In modeling with plasma fluid equations, there is a need to
include large-scale particle kinetics. The calculation of the ponderom
otive force in laboratory devices is a problem, because the form of th
e field is often taken as a zero-curl approximation which violates Max
well's equations. To clarify this issue we have analyzed the ponderomo
tive force field in the transverse-electric electromagnetic field of a
rectangular waveguide. A specific model of the TCP is analyzed. This
shows that the rf-magnetic field of the TCP coil, in the range of a fe
w gauss, creates a significant ponderomotive force at 13 MHz, which is
enhanced at lower frequencies such as 1 MHz. This force acts to prote
ct the rf window from erosion and cancel ambipolar diffusion losses, t
hereby improving the density uniformity of the plasma.