WAVE-PROPAGATION IN LAYERED PIEZOELECTRIC STRUCTURES

In the present work we analyze wave propagation in piezoelectric layer ed structures with special emphasis on semiconductor layered systems. The mathematical and physical formulation of the problem is stated acc ording to the phenomenological theory of continuous media. The general solution of the system of equations for a piezoelectric material with cubic symmetry is given. The boundary conditions for mechanical displ acements and elastic stresses, as well as the electrical quantities, a re analyzed. The problem is split into two coupled system of second or der ordinary differential equations: one for the displacement nu(1)(z) and the electric potential psi(z), and the other for the two remainin g mechanical displacements nu(2)(z) and nu(3)(z). The dispersion relat ions are expressed through determinants because of their complexity, a nd the dispersion curves are numerically obtained. The obtained result s, in the form of propagating waves along the structure, are discussed . (C) 1998 American Institute of Physics.