A mathematical model has been developed for analyzing the process of m
onitoring film thickness and the optical characteristics of multilayer
systems formed by layers with a variable profile. Similar calculation
s have been carried out for multilayer dielectric systems. A formula h
as been obtained for the control parameters associated with the layer-
deposition process. This modelling has been used in creating variable-
profile mirrors in a laser system. (C) 1997 The Optical Society of Ame
rica.