A problem of recent interest is the identification of buried unexplode
d ordnance (including mines). This paper reviews recent progress in th
e use of the singularity expansion method for electromagnetic and acou
stic/elastodynamic scattering for discriminating the various types (sp
ecific models with prescribed shapes and materials). Each type having
an aspect-independent set of natural frequencies, these can be used as
a set of target signatures in a library. Three different types of suc
h natural frequencies (and associated pole residues) are discussed.