The formation of narrow high frequency electric field spikes in plasma
density gradients is investigated using one-dimensional particle in c
ell simulations. It is found that the shape of the plasma density grad
ient is very important for the spike formation. A coupling to the ion
motion, is not necessary for the formation of hf spikes. However, the
hf spike influences the ion motion, and ion waves are seen in the simu
lations. Dispersion relations are calculated using realistic, non-Maxw
ellian, distribution functions. The spike can be seen as a coupled sys
tem of two eigenmodes of a plasma diode fed by a beam-plasma interacti
on. Based on a simplified fluid description of such eigenmodes, explan
ations for the localization of the spike, spatially and in frequency,
are given. The amplitude of the oscillating density is comparable with
the de level close to the cathode. This sets a limit of a wave amplit
ude in the whole system. (C) 1998 American Institute of Physics.