论文标题
通过惯性的宽松微态方法对迷宫的声学超材进行建模
Modeling a labyrinthine acoustic metamaterial through an inertia-augmented relaxed micromorphic approach
论文作者
论文摘要
我们提出了一种惯性的宽松的微态模型，该模型丰富了作者先前通过术语$ \ text {curl} \ dot {p} $在动能密度中引入的宽松的微态模型。这种丰富的模型使我们能够获得分散曲线的整体拟合，同时引入了描述具有负速度的模式的新可能性，这些模式已知会触发负面折射效应。惯性增强的模型还允许在与截止物相对应的渐近线值上获得更多自由。在以前版本的宽松的微态模型中，一条曲线（压力或剪切）的渐近线始终受到相同类型的以下曲线的截止。该约束在模型的增强版本中不再存在。尽管所获得的曲线的拟合总体质量良好，但对于接近单位电池尺寸的非常小的波长仍必须达成完美的定量一致性。
We present an inertia-augmented relaxed micromorphic model that enriches the relaxed micromorphic model previously introduced by the authors via a term $\text{Curl}\dot{P}$ in the kinetic energy density. This enriched model allows us to obtain a good overall fitting of the dispersion curves while introducing the new possibility of describing modes with negative group velocity that are known to trigger negative refraction effects. The inertia-augmented model also allows for more freedom on the values of the asymptotes corresponding to the cut-offs. In the previous version of the relaxed micromorphic model, the asymptote of one curve (pressure or shear) is always bounded by the cut-off of the following curve of the same type. This constraint does not hold anymore in the enhanced version of the model. While the obtained curves' fitting is of good quality overall, a perfect quantitative agreement must still be reached for very small wavelengths that are close to the size of the unit cell.
