The effects of ion collisions in the plasma sheath on etch profiles of
a long trench is modeled. The pattern transfer step is for trilayer l
ithography where the photoresist etches down to a silicon dioxide mask
. and the trench is etched in the substrate. The etch rate in the ion
flux limited regime varies as the ion energy flux which is calculated
from the ion velocity distribution function. The form of the ion veloc
ity distribution function consists of a sum of drifted Maxwellians. Th
is sum fits experimental data for ion energy distribution functions wi
th angular dependence for an argon plasma by a simulated annealing opt
imization procedure. Etch-rate expressions for a drifted Maxwellian in
a collisionless sheath are extended to the collisional sheath. The et
ch profiles are computed numerically by integration of characteristic
equations for the profile points and by numerical computation of the p
rofile at a given time. (C) 1997 American Institute of Physics.