We study elastic band gaps in nonhomogeneous periodic finite media. we stud
y elastic band gaps In nonhomogeneous periodic finite media. The finite-dif
ference time-domain method is used for the first time in the field of elast
ic band-gap materials. It is used to interpret experimental data for two-di
mensional systems consisting of cylinders of fluids (Hg, air, and oil) inse
rted periodically in a finite slab of aluminum host. The method provides go
od convergence, can be applied to realistic finite composite slabs, even to
composites with a huge contrast in the elastic parameters of their compone
nts, and describes well the experiments.