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首页> 外文期刊>Physical review >Complexity of band structures: Semi-analytical finite element analysis of one-dimensional surface phononic crystals
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Complexity of band structures: Semi-analytical finite element analysis of one-dimensional surface phononic crystals

机译：能带结构的复杂性：一维表面声子晶体的半解析有限元分析

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Band structures of surface phononic crystals with one-dimensional periodicity are investigated in this paper. Real and complex dispersion relations of surface acoustic waves are calculated by a semi-analytical finite element method in the frequency domain. The model applies 2D nine-noded elements in the periodic direction to discretize a unit cell with finite depth. Propagation perpendicular to the periodic direction is modeled by analytic functions. Two eigenproblems are obtained from the method which lead to real or to complex dispersion relations of the one-dimensional phononic crystal. The model results in a Lamb wave band structure where the surface modes are identified by their displacement and elastic energy distribution. The complex band structure includes imaginary and complex modes in addition to the real dispersion relation describing also standing and evanescent modes. Such evanescent waves not only include the folded surface waves, but it is also shown that an evanescent mode is present within the stop band.
机译：研究了具有一维周期性的表面声子晶体的能带结构。通过半解析有限元方法在频域中计算表面声波的实和复色散关系。该模型在周期方向上应用二维九节点元素以离散有限深度的晶胞。垂直于周期方向的传播是通过解析函数建模的。从该方法获得两个本征问题，这些问题导致一维声子晶体的实或复色散关系。该模型产生了Lamb波段结构，其中表面模式通过其位移和弹性能分布来识别。除了描述离散模式和渐逝模式的实际色散关系之外，复数带结构还包括虚数和复数模式。这种e逝波不仅包括折叠的表面波，而且还显示出在阻带内存在present逝模。

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