The response of the electron distribution function in one dimension to
a traveling wave electric field is modeled for parameters relevant to
a low-pressure helicon wave plasma source, and the resulting change i
n the ionization rate calculated. This is done by calculating the traj
ectories of individual electrons in a given wave field and assuming no
collisions to build up the distribution function as the distance from
the antenna is increased. The ionization rate is calculated for argon
by considering the ionization cross section and electron flux at a sp
ecified position and time relative to the left-hand boundary, where th
e distribution function is assumed to be Maxwellian and the wave trave
ls to the right. The simulation shows pulses in the ionization rate th
at move away from the antenna at the phase velocity of the wave, demon
strating the effect of resonant electrons trapped in the wave's frame
of reference. It is found that the ionization rate is highest when the
phase velocity of the wave is between 2 and 3 x 10(6) m/s, where the
electrons interacting strongly with the wave (i.e., electrons with vel
ocities inside the wave's ''trapping width'') have initial energies ju
st below the ionization threshold. Results from the model are compared
with experimental data and show reasonable qualitative agreement. (C)
1997 American Institute of Physics.