单极子Mie共振声学超材料的低频声准直调控

Control of Low-frequency Acoustic Collimation in Monopole Mie Resonance Acoustic Metamaterials

  • 摘要: 低频声波的定向传播因其显著的衍射效应,导致声场能量快速扩散,这已成为制约声学功能器件微型化的重要挑战。本文基于单极子Mie共振原理,设计了一种高折射率亚波长Mie结构声学超材料,旨在实现低频声波的定向传输。首先,基于等效介质理论与多重散射理论计算Mie结构单元在单极子共振状态下的共振频率。其次,结合有限元法仿真分析结构单元在平面波激励下的共振频率与声压场分布特性。进一步,探究单元结构参数对共振频率和峰值声压的影响规律。最后,通过数值仿真和实验验证由四个Mie结构单元组成的阵列结构能够有效实现低频声波的声准直现象,并探究阵列分布的相关参数和构成阵列的胞元数量对这一现象的影响。本研究所设计的亚波长单极子Mie共振声学超材料突破了传统声学器件的物理尺寸限制,在低频声波滤波器和噪声抑制系统中具有潜在的应用前景。

     

    Abstract: Low-frequency sound wave directional propagation is significantly hindered by diffraction effects, which cause rapid energy diffusion in the sound field. This remains a major challenge for miniaturizing acoustic functional devices. Based on the principle of monopole Mie resonance, this study designs a high-refractive-index subwavelength Mie structure acoustic metamaterial aimed at achieving directional transmission of low-frequency sound waves. First, based on the equivalent medium theory and multiple scattering theory, calculate the resonance frequency of Mie structural units in the monopole resonance state. Next, finite element method simulations are conducted to analyze the resonance frequency and sound pressure field distribution characteristics of the unit under plane wave excitation. Furthermore, this study explores the influence of unit structural parameters on the resonance frequency and the peak sound pressure. Finally, numerical simulations and experiments are validated that an array structure composed of four Mie units can effectively achieve the phenomenon of acoustic collimation for low-frequency sound waves. The influence of the array distribution parameters and the number of unit cells composing the array on this phenomenon is explored. The designed subwavelength monopole Mie resonance acoustic metamaterial overcomes the physical size limitations of traditional acoustic devices and has potential application prospects in low-frequency acoustic wave filters and noise suppression systems.

     

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