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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.
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Keywords:
- phononic crystals /
- locally resonant /
- discrete mode /
- multi-channel
[1] Zhang X, Liu Z Y, Liu Y Y 2004 Solid State Commun. 130 67
[2] Sun J H, Wu T T 2007 Phys. Rev. B 76 104304
[3] Liu Z Y, Zhang X, Mao Y, Zhu Y Y, Yang Z, Chan C T, Sheng P 2000 Science 289 1734
[4] Sun J H, Wu T T 2006 Phys. Rev. B 71 174303
[5] Sun J H, Wu T T 2006 Phys. Rev. B 74 174305
[6] Wu F G, Liu Z Y, Liu Y Y 2002 Phys. Rev. E 66 046628
[7] Wu F G, Liu Y Y 2002 Acta Phys. Sin. 35 162 (in Chinese) [吴福根, 刘有延 2002 物理学报 35 162]
[8] Li X C, Yi X Y, Xiao Q W, Liang H Y 2006 Acta Phys. Sin. 55 2300 (in Chinese) [李晓春, 易秀英, 肖清武, 梁宏宇 2006 物理学报 55 2300]
[9] Liu Z Y, Chan C T, Sheng P 2002 Phys. Rev. B 65 165116
[10] Li J, Liu Z Y 2006 Phys. Rev. B 73 054302
[11] Zhao H G, Liu Y Z, Wen J H, Han X Y 2005 J. Mater. Eng. 5 524
[12] Wang G, Wen X S, Wen J H, Shao L H, Liu Y Z 2004 Phys. Rev. Lett. 22 154302
[13] Wang G, Liu Y Z, Wen J H, Yu D L 2006 Chin. Phys. 15 407
[14] Achaoui Y, Abdelkrim K 2011 Phys. Rev. B 83 104201
[15] Oudich M, Matteo S M, Badreddine A 2011 Phys. Rev. B 84 165136
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[1] Zhang X, Liu Z Y, Liu Y Y 2004 Solid State Commun. 130 67
[2] Sun J H, Wu T T 2007 Phys. Rev. B 76 104304
[3] Liu Z Y, Zhang X, Mao Y, Zhu Y Y, Yang Z, Chan C T, Sheng P 2000 Science 289 1734
[4] Sun J H, Wu T T 2006 Phys. Rev. B 71 174303
[5] Sun J H, Wu T T 2006 Phys. Rev. B 74 174305
[6] Wu F G, Liu Z Y, Liu Y Y 2002 Phys. Rev. E 66 046628
[7] Wu F G, Liu Y Y 2002 Acta Phys. Sin. 35 162 (in Chinese) [吴福根, 刘有延 2002 物理学报 35 162]
[8] Li X C, Yi X Y, Xiao Q W, Liang H Y 2006 Acta Phys. Sin. 55 2300 (in Chinese) [李晓春, 易秀英, 肖清武, 梁宏宇 2006 物理学报 55 2300]
[9] Liu Z Y, Chan C T, Sheng P 2002 Phys. Rev. B 65 165116
[10] Li J, Liu Z Y 2006 Phys. Rev. B 73 054302
[11] Zhao H G, Liu Y Z, Wen J H, Han X Y 2005 J. Mater. Eng. 5 524
[12] Wang G, Wen X S, Wen J H, Shao L H, Liu Y Z 2004 Phys. Rev. Lett. 22 154302
[13] Wang G, Liu Y Z, Wen J H, Yu D L 2006 Chin. Phys. 15 407
[14] Achaoui Y, Abdelkrim K 2011 Phys. Rev. B 83 104201
[15] Oudich M, Matteo S M, Badreddine A 2011 Phys. Rev. B 84 165136
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