On the Coupling of Guided Waves Propagation in Piezoelectric Crystals Subject to Initial Fields

Abstract

This paper deals with the study of the coupling conditions for propagation of planar guided waves in a piezoelectric semi-infinite plane (called sagittal plane) subject to initial electro-mechanical fields. The piezoelectric material behaves linearly and without attenuation and the waveguide propagates in a normal mode. We suppose that the material is subject to initial electro-mechanical fields. If the sagittal plane is normal to a direct, resp. inverse dyad axis, we derive that the fundamental equations' system decomposes for particular choices of the initial electric field. In this way we obtain mechanical and piezoelectric waves generalizing the classical guided waves from the case without initial fields. Furthermore, we obtain a similar decomposition of mechanical and electrical boundary conditions, which enable us to characterize the obtained guided waves.