A method for rapidly analyzing data gathered during scatterometry and
related methods uses a combination of database lookup, database
interpolation and theoretical model evaluation. Database lookup is used
to provide an initial mapping between a measured optical response and a
set of associated measurement parameters. Interpolation is then used to
refine the optical response and parameters. A theoretical model is then
repeatedly evaluated to refine the optical response and parameters
previously refined by the interpolation. In this way, the present
invention avoids the inaccuracies associated with traditional
interpolation-based analysis and without incurring the computational
complexity associated with real-time database supplementation.