As to a layered half-space with identical piezoelectric layer and substrate
but in opposite polarization, the expressions for the phase velocity equat
ion of the Bleustein-Gulyaev (B-G) wave are obtained by analytical techniqu
e. It is found by numerical examples that the penetration depth of the BG w
ave is in the same order as the wavelength for a layered half-space, in the
same time, the electromechanical coupling factor can still maintain quite
high values for appropriate thickness of the layer. It is further discovere
d and proved in this paper that for a layered half-space with different pie
zoelectric layer and substrate, a peculiar kind of motion mode of the B-G w
ave can be achieved when their electrical character constants and the thick
ness of the layer are satisfied with certain relationship. When this peculi
ar kind of surface wave propagates, the transverse component of displacemen
t of the particles can be found only in the layer and the displacement of t
he particles in the substrate is always zeros. The existing conditions of t
he above surface wave and its corresponding phase velocity equations are ob
tained. Several numerical results are also given. (C) 2001 Elsevier Science
Ltd. All rights reserved.