The surface roughening of films deposited atomically and eroded by ion
irradiation sputtering, resulting from the stochastic or noisy nature
s of these processes, is investigated analytically. Serial modes of su
ccessive deposition and irradiation and parallel modes of congruent de
position and irradiation are compared and the superiority of one or th
e other mode shown to depend upon growth and erosion-rate ratios. Diff
erent surface relaxation processes including viscous flow and surface
diffusion are examined and shown to affect both the average surface ro
ughness and the spatial frequency spectrum of the roughness. (C) 1998
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