用瑞士卷掩蔽面内弹性波
Cloaking in-plane elastic waves with swiss rolls
摘要：
我们提出了一种设计的圆柱形弹性斗篷的耦合面内剪切波的亚波长共振无应力夹杂物形状的瑞士卷同心层组成。夹杂物尺寸之间的比例因子是根据Pendry变换。与目前已知的情况不同，本几何变换从Willis介质开始，并进一步假设原始介质中的位移场${\bf u}$和变换后介质中的位移场${\bf u}'$保持不受影响（${\bf u}'={\bf u}$），这打破了描述变换后有效介质的Willis方程中的秩4和秩3张量的次对称性。我们实现了一些隐形的剪切偏振源在特定的，共振的亚波长，频率，当它位于附近的结构斗篷包围的夹持障碍物。这种有效的介质允许强的Willis偶联[Quan等人，Physical Review Letters { \bf 120}（25），254301（2018）]，尽管存在潜在的手性弹性效应[Frenzel等人，Science { \bf 358}（6366），1072（2017）]，从而减轻Willis和Cosserat介质在实现弹性动力学隐身中的作用。
英文摘要：
We propose a design of cylindrical elastic cloak for coupled in-plane shear waves consisting of concentric layers of sub-wavelength resonant stress-free inclusions shaped as swiss-rolls. The scaling factor between inclusions' sizes is according to Pendry's transform. Unlike the hitherto known situations, the present geometric transform starts from a Willis medium and further assumes that displacement fields ${\bf u}$ in original medium and ${\bf u}'$ in transformed medium remain unaffected (${\bf u}'={\bf u}$), and this breaks the minor-symmetries of the rank-4 and rank-3 tensors in the Willis equation that describes the transformed effective medium. We achieve some cloaking for a shear polarized source at specific, resonant sub-wavelength, frequencies, when it is located near a clamped obstacle surrounded by the structured cloak. Such an effective medium allows for strong Willis coupling [Quan et al., Physical Review Letters {\bf 120}(25), 254301 (2018)], notwithstanding potential chiral elastic effects [Frenzel et al., Science {\bf 358}(6366), 1072 (2017)], and thus mitigates roles of Willis and Cosserat media in the achieved elastodynamic cloaking.
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