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首页> 外文期刊>Journal of Physics, D. Applied Physics: A Europhysics Journal >3D Hilbert fractal acoustic metamaterials: low-frequency and multi-band sound insulation
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3D Hilbert fractal acoustic metamaterials: low-frequency and multi-band sound insulation

机译：3D希尔伯特分形声学超材料：低频和多频段隔音

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摘要

In this work, we present a class of three-dimensional (3D) labyrinthine acoustic metamaterials with self-similar fractal technique, which can produce multiple frequency-band sound insulation in deep-subwavelength scale. By simultaneously exploiting the multi-frequency bandgaps and the low-frequency characteristics, the Hilbert cubes are explored to design the 3D Hilbert fractal acoustic metamaterials (HFAMs). The multiple-band features of the HFAMs are examined by the finite element method and the effective medium theory, in which the negative bulk modulus and the mass density are responsible for the formation of the multi-bandgaps. These multi-frequency properties are induced by the Fabry-Perot multi-resonance of 3D HFAMs, which possess an ultra-high refractive index. Hence, the multi-band sound insulations of 3D HFAMs with the negative effective property are achieved below 500 Hz. These properties of the designed 3D HFAMs provide an effective way for acoustic metamaterials to achieve multi-band filtering and noise attenuation in the low-frequency regime.
机译：在这项工作中，我们展示了一类具有自相似分形技术的三维（3D）迷宫声学超材料，其可以在深亚波长刻度中产生多个频带隔音。通过同时利用多频带和低频特性，探讨了希尔伯特立方体设计3D Hilbert分形声学超材料（HFAM）。通过有限元方法和有效介质理论检查HFAM的多带特征，其中负体模量和质量密度负责形成多带隙。这些多频性能由3D HFAM的法布里 - 珀罗多共振引起，其具有超高折射率。因此，具有负有效性的3D HFAM的多频带声绝缘在500Hz以下实现。所设计的3D HFAM的这些属性为声学超材料提供了一种有效的方法，以实现低频状态下实现多频段过滤和噪声衰减。

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