A multilayered particle is illuminated by plane acoustic or electromagnetic
waves of one or several frequencies. We consider the inverse scattering pr
oblem for the identification of the layers and of the refraction coefficien
ts of the scatterer in a non-Born region of scattering, Local deterministic
and global probabilistic minimization methods are studied. A special reduc
tion procedure is introduced to reduce the dimensionality of the minimizati
on space. Deep's and the multilevel single-linkage methods for global minim
ization are used for the solution of the inverse problem. Their performance
is analyzed for various multilayer configurations. (C) 2000 Academic Press
.