A simple one-dimensional theory is presented to assess the implantation of
ions from the ion matrix sheath (IMS) in an ablated plasma plume that is ap
proaching a negatively biased substrate. Under the assumption that the plum
e geometry, the electron and ion density distributions, and the potential d
istribution are frozen during the IMS extraction, the implanted ion current
is calculated as a function of time for various substrate-plume separation
s. This model accurately recovers Lieberman's classic results when the plum
e front is initially in contact with the substrate. (C) 2001 American Insti
tute of Physics.