Proceedings of the National Academy of Sciences of the United States of America ( IF 11.1 ) Pub Date : 2020-12-01 , DOI: 10.1073/pnas.2010812117 Maxime Lanoy 1 , Fabrice Lemoult 1 , Antonin Eddi 2 , Claire Prada 1
We study the propagation of in-plane elastic waves in a soft thin strip, a specific geometrical and mechanical hybrid framework which we expect to exhibit a Dirac-like cone. We separate the low frequencies guided modes (typically 100 Hz for a 1-cm-wide strip) and obtain experimentally the full dispersion diagram. Dirac cones are evidenced together with other remarkable wave phenomena such as negative wave velocity or pseudo-zero group velocity (ZGV). Our measurements are convincingly supported by a model (and numerical simulation) for both Neumann and Dirichlet boundary conditions. Finally, we perform one-way chiral selection by carefully setting the source position and polarization. Therefore, we show that soft materials support atypical wave-based phenomena, which is all of the more interesting as they make most of the biological tissues.
中文翻译:
狄拉克锥和软带中弹性波的手性选择[生理学]
我们研究了平面内弹性波在软薄带中的传播,该薄带是一种特定的几何和机械混合框架,我们希望它表现出狄拉克样的圆锥。我们分离出低频引导模式(对于1 cm宽的带通常为100 Hz),并通过实验获得完整的色散图。狄拉克锥与其他显着的波现象(例如负波速度或伪零群速度(ZGV))一起被证明。模型(和数值模拟)为Neumann和Dirichlet边界条件提供了令人信服的支持。最后,我们通过仔细设置光源位置和极化来执行单向手性选择。因此,我们表明软材料支持基于非典型波的现象,当它们构成大多数生物组织时,这将变得更加有趣。