Seismic Love waves are horizontally polarized surface waves propagating within an overlying layer, which have been shown to pose potential hazards to infrastructures. In this study, we propose an original analytical formulation to investigate the interaction between seismic Love waves and a metasurface that is composed of a cluster of tunable anti-plane resonators. The formulation utilizes the Green's function of a layered half-space subjected to a surface SH source, to describe both the source-induced incident field and the resonator-excited scattered field. Based on the multiple scattering theory, we obtain the total wavefield of the layered half-space equipped with surface resonators by coupling the incident field and the scattered field. Besides, a closed-form dispersion relation governing the hybrid Love waves is derived by utilizing the effective medium approximation. We demonstrate the capabilities of our analytical formulation by modelling Love waves propagating across a pair and a cluster of resonators, evidenced by some complex phenomena (e.g., surface-to-bulk wave conversion and higher-order hybridized surface modes). The hybridization features of different Love modes and metasurface resonances are clearly revealed. We anticipate the proposed tunable metasurface and the formulation can shed light on versatile control of Love wave propagation.

地震洛夫波是在上覆层内传播的水平极化表面波，已被证明对基础设施构成潜在危害。在这项研究中，我们提出了一个原始的分析公式来研究地震洛夫波与由可调谐反平面谐振器簇组成的超表面之间的相互作用。该公式利用受表面 SH 源影响的分层半空间的格林函数来描述源引起的入射场和谐振器激发的散射场。基于多重散射理论，我们通过耦合入射场和散射场获得了配备表面谐振器的层状半空间的总波场。除了，利用有效介质近似导出了控制混合 Love 波的闭合形式色散关系。我们通过模拟在一对和一组谐振器中传播的乐夫波来展示我们的分析公式的能力，一些复杂的现象（例如，表面到体波转换和高阶混合表面模式）证明了这一点。清楚地揭示了不同 Love 模式和超表面共振的杂化特征。我们预计所提出的可调谐超曲面和公式可以阐明 Love 波传播的通用控制。表面到体波转换和高阶杂化表面模式）。清楚地揭示了不同 Love 模式和超表面共振的杂化特征。我们预计所提出的可调谐超曲面和公式可以阐明 Love 波传播的通用控制。表面到体波转换和高阶杂化表面模式）。清楚地揭示了不同 Love 模式和超表面共振的杂化特征。我们预计所提出的可调谐超曲面和公式可以阐明 Love 波传播的通用控制。