Magnetic and collisional effects on capacitive radio frequency (RF) di
scharges for magnetically enhanced reactive ion etching (RF) are inves
tigated, Using simplified plasma and sheath models, a collisional magn
etic-sheath equation that governs the sheath dynamics under a de magne
tic field crossed with a sinusoidal RF electric field is obtained, The
sheath equation includes global effects of the bulk plasma. Together
with the power-balance equation and the particle-conservation equation
, the sheath equation is used to extract a circuit model and predict t
he electrical behavior of MERIE reactors, Numerical results on the pla
sma density and the power in MERIE reactors agree well with reported e
xperimental results and the circuit model describes the reported disch
arge properties well.