Jp. Booth et al., THE TRANSITION FROM SYMMETRICAL TO ASYMMETRIC DISCHARGES IN PULSED 13.56-MHZ CAPACITIVELY COUPLED PLASMAS, Journal of applied physics, 82(2), 1997, pp. 552-560
The behavior of a rapidly pulsed radio-frequency capacitively coupled
parallel plate reactor has been investigated using time-resolved volta
ge probe, microwave interferometer and optical emission techniques. Th
e reactor was operated with 50 mTorr of argon and 100 W rf power (meas
ured at the generator) at 13.56 MHz supplied to the 100-mm-diam powere
d electrode, with pulse durations of 25 and 100 mu s. For low repetiti
on rates (50 Hz) the voltage envelope has a characteristic form which
has been entitled the ''Bird's Head,'' There is no plasma present at t
he beginning of the pulse, so that an initial breakdown phase occurs.
This phase lasts about 600 ns, after which time the plasma density is
sufficiently high for the Debye length to enter the gap between the el
ectrodes and for sheaths to form on the electrodes. In asymmetric para
llel plate reactors the blocking capacitor in the matching circuit cha
rges such that the powered electrode acquires a continuous negative vo
ltage offset (the so-called de bias). In this system the charging time
of the capacitor is longer than the rise time of the rf voltage. Cons
equently, for the first few mu s of the pulse the discharge is symmetr
ic (no de bias) and confined between the rf rind the adjacent earthed
electrode. As the bias voltage increases the discharge fills more of t
he reactor and becomes asymmetric. The rate at which the blocking capa
citor charges (due to net electron current from the plasma to the powe
red electrode) is controlled by the Bohm-criterion limited flux of ion
s to the earthed walls of the reactor, as shown by particle-in-cell si
mulations in H. B. Smith, C. Charles, and R. W. Boswell, J. Appl. Phys
. 82, 561 (1997). At high repetition rates (20 kHz) the plasma density
is hardly modulated, there is no breakdown or symmetric phase, and on
ly the electron temperature and de bias are modulated. The conditions
which lead to a symmetric discharge phase are defined. A simple analyt
ical model is developed to describe the temporal evolution of the plas
ma density and electron temperature. The model is in good qualitative
agreement with the observations, and predicts an average electron ener
gy of 10's of eV during the first few mu s of the symmetric discharge.
(C) 1997 American Institute of Physics.