Based on the Bloch's theorem and the coupling of modes approximation, an explicit dispersion equation and frequency responses of Bleustein-Gulyaev (BG) wave near its Bragg resonance frequency in a magneto-electro-elastic (MEE) substrate with a periodically inertial load surface are obtained. The complex band structure is calculated with the imaginary part of Bloch wave vector quantifying wave attenuation. The effects of inertial load perturbations and constituent ratios of MEE substrate on the complex band structures are discussed. Our results show that BG waves decay the fastest at the center frequency of the band gap. The width and the location of the band gap can be tuned, respectively, by the periodically changing load and the uniformly inertial load. This work provides a simple way to tune the band gap of surface acoustic wave (SAW), which should be helpful for the relevant applications in MEE SAW devices such as Bragg reflectors and resonators.

基于布洛赫定理和模式耦合近似，布卢斯坦-古利亚耶夫 (BG) 波在具有周期性惯性载荷表面的磁电弹性 (MEE) 衬底中其布拉格共振频率附近的显式色散方程和频率响应为获得。复能带结构是用量化波衰减的 Bloch 波矢量的虚部计算的。讨论了惯性载荷扰动和MEE衬底的组成比对复杂能带结构的影响。我们的结果表明，BG 波在带隙的中心频率处衰减最快。带隙的宽度和位置可以分别通过周期性变化的负载和均匀惯性负载进行调整。这项工作提供了一种简单的方法来调整表面声波 (SAW) 的带隙，