Perturbation of Bleustein-Gulyaev waves in piezoelectric media: Barnett and Lothe integral formalism revisited
Perturbation of Bleustein-Gulyaev waves in piezoelectric media: Barnett and Lothe integral formalism revisited
复制标题
压电介质中 Bleustein-Gulyaev 波的扰动：重新审视 Barnett 和 Lothe 积分形式主义
DOI：
10.1007/s10659-023-10005-0
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发表时间：
2023
影响因子：
2
通讯作者：
Gen Nakamura
中科院分区：
文献类型：
--
作者：
Kazumi Tanuma;Xiang Xu;Gen Nakamura
本文研究压电学中的表面波--Bleustein-Gulyaev（BG）波。它们沿着均匀压电半空间的表面传播，该半空间的组成材料具有对称性，其中该表面服从机械自由和电闭合条件。我们重温了一般压电的Barnett-Lothe积分形式主义，并给出了简单的证明，它只使用弹性张量和介电张量的正定性，导出Barnett-Lothe张量的基本性质。这使我们得到一个亚音速表面波存在的判据。此外，当波沿六重旋转对称轴与三轴重合的六角对称压电半空间表面的一轴沿着方向传播时，我们显式地计算了BG波的相速度，并研究了其扰动，即，由于不需要具有任何对称性的材料常数的扰动而引起的速度的偏移。
This paper studies surface waves called Bleustein–Gulyaev (BG) waves in piezoelectricity. They propagate along the surface of a homogeneous piezoelectric half-space whose constituent material hashexagonal symmetry, where the surface is subject to the mechanically-free and electrically-closed condition. We revisit the Barnett–Lothe integral formalism for general piezoelectricity and give straightforward proofs, which only use the positive definiteness of the elasticity tensor and of the dielectric tensor, to derive fundamental properties of the Barnett–Lothe tensors. This leads us to obtain a criterion for the existence of subsonic surface waves. Moreover, when the waves propagate in the direction of the 1-axis along the surface of the piezoelectric half-spaceofhexagonal symmetry whose 6-fold axis of rotational symmetry coincides with the 3-axis, we compute explicitly the phase velocity of the BG waves and investigate its perturbation, i.e., the shift in the velocity due to a perturbation of the material constants which need not have any symmetry.