Abrupt changes of discharge regimes in a helicon plasma source are tre
ated proceeding from the model that assumes an rf power absorption to
arise from a linear conversion of helicon waves into electrostatic wav
es at a plasma edge. The efficiency of conversion and thus of power ab
sorption is found to be proportional to the squared edge amplitude of
the helicon wave. The model yields a non-monotonic variation of absorb
ed power with the plasma density at a fixed antenna current. The speci
fic shape of the absorption curve, that is the location, heights and w
idths of absorption peaks, turns out to depend on the source and anten
na geometry, external magnetic field and driving frequency, whereas th
e absorption demonstrates extremely weak dependence on gas pressure. A
power balance for the source plasma predicts a stable discharge in se
veral density modes, and a possibility of abrupt transitions between t
hem. The density jumps may be stimulated by the variation of absorbed
power, driving frequency and/or magnetic field. The increase of magnet
ic field or the decrease of driving frequency may give rise to dischar
ge disruptions. A discussion is presented of experimental data confirm
ing the validity of the model and results obtained.