A numerical study is carried out to investigate the eigenmode characteristi
cs of helicon plasmas near the lower hybrid resonance using the analytic so
lutions of the wave equation for uniform plasmas. It is shown that there ar
e innumerable or a few isolated eigenmodes depending on the value of the wa
ve frequency whether it is higher or not than that of the lower hybrid freq
uency. The plasma resistance is usually large with a sharp peak near the lo
wer hybrid frequency, but it depends on the plasma density. Accordingly, th
e wave equation is solved self-consistently with the particle and power bal
ance equations, and it is shown that there exists a threshold frequency for
efficient ionization near the lower hybrid resonance. This may explain the
existence of the optimum frequencies of helicon discharge which have been
experimentally found to be near the lower hybrid frequencies. (C) 2000 Amer
ican Institute of Physics. [S1070-664X(99)02012-1].