准晶弹性异向介质板中的光束和衍射
Wave beaming and diffraction in quasicrystalline elastic metamaterial plates
摘要：
在本文中，我们提出的数值和实验证据的定向波的行为，即光束和衍射，沿高阶旋转对称性的准晶弹性超材料板。这些结构是通过在弹性板上生长柱体而获得的，所述柱体遵循特定的旋转对称布置，例如8重和10重旋转对称，如通过在倒易空间中的设计过程所强制的。通过对瞬态波场的傅里叶变换，我们估计了波在板中传播的色散特性。该程序确定，数值和实验，各向异性带的存在，其特征在于高能量密度在孤立的区域在倒易空间，遵循其高阶旋转对称。特定的方向性行为展示在所确定的频带，如波波束和衍射。这项工作扩展了波的方向性现象，超越了周期性配置的对称性（例如，4-倍和6倍），并开辟了新的应用可能性，涉及不寻常的高阶波的准晶体的特点，如优越的指导，聚焦，传感和成像。
英文摘要：
In this paper, we present numerical and experimental evidence of directional wave behavior, i.e. beaming and diffraction, along high-order rotational symmetries of quasicrystalline elastic metamaterial plates. These structures are obtained by growing pillars on an elastic plate following a particular rotational symmetry arrangement, such as 8-fold and 10-fold rotational symmetries, as enforced by a design procedure in reciprocal space. We estimate the dispersion properties of the waves propagating in the plates through Fourier transformation of transient wave-fields. The procedure identifies, both numerically and experimentally, the existence of anisotropic bands characterized by high energy density at isolated regions in reciprocal space that follow their higher order rotational symmetry. Specific directional behavior is showcased at the identified frequency bands, such as wave beaming and diffraction. This work expands the wave directionality phenomena beyond the symmetries of periodic configurations (e.g., 4-fold and 6-fold), and opens new possibilities for applications involving the unusual high-order wave features of the quasicrystals such as superior guiding, focusing, sensing and imaging.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
