A method for determining the stresses in a film applied to a substrate
from measured substrate shape. The substrate is first analyzed using
finite element techniques to obtain nodal forces at the surface of the
substrate to which the film is applied, based on measured distortion data
of the substrate surface. The film is then analyzed to calculate the film
stresses from the applied nodal forces using finite element techniques.
The invention may be applied to determine stresses in thin films applied
to a variety of substrates, including those used for micro-electronic
(e.g., integrated circuit) and micro-mechanical devices and/or for the
lithography masks or other optical/projection systems used to fabricate
such devices.