基于局域共振单元实现声子晶体低频多通道滤波

摘要

In this pager, we theoretically propose a model for low-frequency multi-channel filtering of phononic crystal composed of locally resonant units By introducing the resonance units with different filling rates into two-dimensional three-component locally resonant phononic crystal, a waveguide is built Its band structure transmission curve and transmitted sound pressure field map are calculated by the finite element method This design results in a low frequency range of the band gap emergence of new discrete mode around the different resonant frequencies of the scatterer These discrete modes enable the corresponding sound wave to propagate along the waveguide direction in phononic crystal waveguide The discrete model is only associated with the respective resonant unit, so it has a strong anti-jamming capability It provides a new theoretical basis for the multi-channel low-frequency filter.%从理论上提出一种由局域共振单元组成的声子晶体低频多通道滤波模型。在二维三组元局域共振声子晶体中引入不同填充率的共振单元构成波导结构，通过有限元法计算出其能带结构、透射曲线和透射场图。结果显示：这种设计能够在低频带隙范围内不同填充率散射体的共振频率附近产生新的分立模，且这些分立模能够使相应的声波在声子晶体中沿波导方向传播；这些分立模只与相应的共振单元相关，抗干扰能力强。所得结果为低频多通道滤波器的设计提供了一种新的理论依据。