利用变深地形超材料实现不规则腔体中的规则晃荡模态
Regular sloshing modes in irregular cavities using metabathymetry
AI总结：
本文通过坐标变换与均匀化技术设计各向异性变深地形超材料，使不规则腔体中的晃荡模态和本征频率趋近于平坦矩形参考腔体，并结合数值模拟与实验验证了该方法对水波共振特性的精确操控能力。
摘要：
我们结合数值模拟与实验测量，对利用各向异性超材料在封闭腔体内操控水波与共振特性进行了全面研究。通过将坐标变换理论和均匀化技术应用于全三维线性水波问题，我们设计了具有亚波长尺度分层水深的各向异性介质。对采用各向异性超材料水深的变形腔体进行的实验与数值分析表明，其规则晃荡模态模式和本征频率与具有平坦水深的矩形参考腔体中观测到的结果相似。我们的研究强调了水波超材料在构建稳健的各向异性变深地形超材料以精确控制晃荡模态方面的潜力。
英文摘要：
We present a comprehensive investigation, combining numerical simulations and experimental measurements, into the manipulation of water waves and resonance characteristics within closed cavities utilizing anisotropic metamaterials. We engineer the anisotropic media with subwavelength-scale layered bathymetry through the application of coordinate transformation theory and the homogenization technique to a fully three-dimensional linear water wave problem. Experimental and numerical analyses of deformed cavities employing anisotropic metamaterial bathymetry demonstrate regular sloshing mode patterns and eigenfrequencies akin to those observed in rectangular reference cavities with flat bathymetry. Our study underscores the potential of water wave metamaterials in establishing robust anisotropic metabathymetry for the precise control of sloshing modes.
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