Abstract: | The results of a computer simulation of the dispersion relations for the propagation of shear waves in piezoelectric “superlattice-substrate”
structures are analyzed. The superlattice consists of a finite number of layers and is made up of materials with 6mm symmetry.
The dispersion relations are obtained using a formulation for periodic hamiltonian systems. This approach makes it possible
to account for the anisotropy, the piezoelectric interaction of the mechanical and electric fields, and an arbitrary number
of layers in the superlattice. Numerical results are presented for CdS-ZnO layers. Selective spatial localization of acoustic
modes is demonstrated for different spectral regions. The effects of the ordering of the superlattice layers, of their number,
and of the boundary conditions on the dispersion spectra and on the form of the shear wave motion are examined.
Institute of Mechanics, National Academy of Sciences of Ukraine, Kiev, and Institute of Metal Physics, National Academy of
Sciences of Ukraine, Kiev. Translated from Teoreticheskaya i Prikladnaya Mekhanika, No. 30, pp. 148–156, 1999. |