Abstract
This theoretical study reports results on acoustic wave propagation along the interface of two half-spaces representing cubic crystals of both piezoelectric classes ?43m and 23 with strong piezoelectric effect. In similar configurations, the interfacial Maerfeld-Tournois waves can propagate along the interface of two transversely-isotropic materials of class 6 mm, in which the shear-horizontal surface acoustic waves (SH-SAWs) called the Bleustein-Gulyaev (BG) waves can also exist. Cubic piezoelectrics cannot support existence of the surface BG-waves, according to the recent report by Gulyaev and Hickernell. Hence, new interfacial SH-waves are studied in this paper concerning unique direction [101] of wave propagation in cubic crystals using different electrical boundary conditions (EBCs) of both metallized and non-metallized interfaces. The new interfacial SH-waves can always propagate along the interface of two identical piezoelectric crystals with opposite polarization. In this case, the calculated velocities for both EBCs coincide with the velocity of the ultrasonic surface Zakharenko wave (USZW) propagating in direction [101] on the metallized surface of a cubic piezoelectrics. It was also found that the new interfacial SH-waves can exist when wave propagation is along the interface of two dissimilar half-spaces, for instance, the piezoelectric cubic crystals Bi12SiO20 and Bi12GeO20. Several calculations are also carried out as examples. PACS: 51.40.+p, 62.65.+k, 68.35.Gy, 68.35.Iv, 68.60.Bs, 74.25.Ld.
Highlights
The theoretical investigations carried out in 1971 by Maerfeld and Tournois [1] introduced an acoustic shear-horizontal (SH) wave guided by the common interface of two semi-infinite media, if at least one of the media is a piezoelectric material
Due to the fact that the surface Bg-waves and the interfacial MT-waves cannot exist in piezoelectric cubic crystals, the existence of new surface SH-waves called the ultrasonic surface Zakharenko waves (USZWs) was studied in the cubic crystals and the new interfacial SH-wave existence is studied in this paper
The material constants and USZW characteristics for several cubic crystals with strong piezoelectric effect are listed in Tables 1 and Table 2, respectively
Summary
The theoretical investigations carried out in 1971 by Maerfeld and Tournois [1] introduced an acoustic shear-horizontal (SH) wave guided by the common interface of two semi-infinite media, if at least one of the media is a piezoelectric material. Maerfeld and Tournois have stated the existence conditions for such waves called the interfacial Maerfeld-Tournois (MT) waves, which can propagate along the interface of two identical transversely-isotropic crystals of class 6 mm, when the C-axes of the crystals are in opposite directions, satisfying the perpendicularity condition of the wave propagation direction to an even-order symmetry axis This is similar to the other shear-horizontal surface acoustic waves (SH-SAWs) simultaneously discovered by Bleustein [2] and by Gulyaev [3] in the late 1960s, which possess a hybridization between the mechanical displacement U2 and electrical potential φ = U4. It is thought that these surface SH-waves have deeper penetration length and lower energy loss than do surface Rayleigh waves [4].
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