Interfacial effects for shear waves in one dimensional periodic piezoelectric structure

Within the full system of Maxwellʹs equations this paper investigates the effects of three kinds of transmission conditions at the interfaces between the laminae of a periodic piezoelectric structure on band gaps of Bloch–Floquet waves propagating oblique to the interfaces. The results that are obtained show that under both electrically shorted and magnetically closed transmission conditions Bloch–Floquet waves exist only at acoustic frequencies. The effects of piezoelectricity on Bloch–Floquet wave band structures are studied at such frequencies. It is shown that for periodic crystal structures with laminae made of identical materials the propagation of Bloch–Floquet waves can occur under electrically shorted interface conditions but not under magnetically closed interface conditions. ectrically open interfaces with mechanically smooth contacts the dynamic setting of the problem provides solutions only for photonic crystals. In this case the piezoelectricity has no effect on band gaps.