晶体结构中非均匀性对表面波的散射
Scattering of surface waves by inhomogeneities in crystalline structures
AI总结：
本文基于经典力学框架下的 Gurtin-Murdoch 模型类比，研究了方格点阵半平面上材料非均匀性对表面波传播的影响，推导出表面波透射率公式及体波能量泄漏分数的显式表达，扩展了先前研究。
摘要：
在当前科技背景下，由于在超表面、电子边缘波、晶粒边界等方面的应用，跨结构界面表面波透射率的研究受到了广泛关注。本文的研究结果阐明了材料非均匀性对表面波传播的影响。在经典力学框架内，采用了 Gurtin-Murdoch 模型的类比，其中假设表面的弹性质与体相不同。限定于原型方格点阵半平面上的标量波，所考虑的结构表面上的粒子在界面点处具有分段常数质量和表面力常数。体格点阵中的粒子以涉及平行于表面与垂直于表面的不等力常数的方式与最近邻相互作用。这种格点结构存在表面波带，其中波形在半平面内呈指数衰减。基于半平面上的精确解给出了表面波透射率公式，从而扩展了 Sharma & Eremeyev 2019 Int. J. Eng. Sci. 143, 33-38 的先前工作。通过体波泄漏的能量流入分数的显式表达是一大亮点。文中还包含了几组说明性表面结构参数值的图形结果。
英文摘要：
In current scientific and technological scenario, studies of transmittance of surface waves across structured interfaces have gained some wind amidst applications to metasurfaces, electronic edge-waves, crystal grain boundaries, etc. The results presented in the present article shed a light on the influence of material inhomogeneities on propagation of surface waves. Within the framework of classical mechanics, an analog of Gurtin-Murdoch model is employed where elastic properties on surface are assumed to be distinct from bulk. Restricting to scalar waves on prototype square lattice half-plane, particles on considered structured surface have piecewise-constant mass and surface force-constants across an interfacial point. Particles in bulk lattice interact with nearest neighbours in a way that involves unequal force-constants parallel to surface versus normal to it. A surface wave band exists for such lattice structure wherein the waveform decays exponentially inside half-plane. A formula for surface wave transmittance is given based on an exact solution on half-plane, and, thus, previous work of Sharma & Eremeyev 2019 Int. J. Eng. Sci. 143, 33-38 is extended. An explicit expression for fraction of energy influx leaked via bulk waves is a highlight. Included are graphical results for several illustrative values of surface structure parameters.
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