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In this paper, a local resonant phononic crystal is designed and fabricated based on Helmholtz resonators. Experiment is carried out to study the defect mode of the structure, in which a point defect is introduced. Due to the coupling of the defect cell and perfect cells, a narrow pass band appears in the local resonant forbidden band. Meanwhile, acoustic energy localization effect is observed around the defect resonator at the frequency of defect mode which changes with the defect parameter. However, the defect mode is close to the edge of the forbidden band, the localized energy is high. In addition, if the resonant frequency of the defect unit is smaller than that of the perfect unit, the localized energy is mostly distributed in the waveguide. In contrast, the energy is mostly localized in the resonators when the defect unit frequency is larger than that of the perfect unit. This work will be of help for designing new acoustic functional devices of filters and concentrators.
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Keywords:
- Helmholtz resonator /
- phononic crystal /
- defect mode /
- acoustic energy localization
[1] Wen X S, Wen J H, Yu D L, Wang G, Liu Y Z, Han X Y 2009 Phononic crystals (Beijing: National Defense Industry Press) p1 (in Chinese) [温熙森, 温激鸿, 郁殿龙, 王刚, 刘耀宗, 韩小云 2009 声子晶体 (北京: 国防工业出版社) 第1页]
[2] Kushwaha M S, Halevi P, Dobrzynski L, Djafari-Rouhani B 1993 Phys. Rev. Lett. 71 2022
[3] Liu Q N 2011 Acta Phys. Sin. 60 034301 (in Chinese) [刘启能 2011 60 034301]
[4] Liu Z Y, Zhang X X, Mao Y W, Zhu Y Y, Yang Z Y, Chan C T, Sheng P 2000 Science 289 1734
[5] Ding C L, Zhao X P 2009 Acta Phys. Sin. 58 6351 (in Chinese) [丁昌林, 赵晓鹏 2009 58 6351]
[6] Ding C L, Zhao X P, Hao L M, Zhu W R 2011 Acta Phys. Sin. 60 044301 (in Chinese) [丁昌林, 赵晓鹏, 郝丽梅, 朱卫仁 2011 60 044301]
[7] Wen Q H, Zuo S G, Wei H 2012 Acta Phys. Sin. 61 034301 (in Chinese) [文岐华, 左曙光, 魏欢 2012 61 034301]
[8] Wang G, Wen X S, Wen J H, Shao L H, Liu Y Z 2004 Phys. Rev. Lett. 93 154302
[9] Chen S B, Wen J H, Wang G, Han X Y, Wen X S 2011 Chin. Phys. Lett. 28 094301
[10] Hu X H, Chan C T 2005 Phys. Rev. E 71 055601(R)
[11] Liu M, Hou Z L, Fu X J 2012 Acta Phys. Sin. 61 104302 (in Chinese) [刘敏, 侯志军, 傅秀军 2012 61 104302]
[12] Fang N, Xi D J, Xu J Y, Ambati M, Srituravanich W, Sun C, Zhang X 2006 Nature Mater. 5 452
[13] Cheng Y, Xu J Y, Liu X J 2008 Phys. Rev. B 77 045134
[14] Fok L, Zhang X 2011 Phys. Rev. B 83 214304
[15] Cheng Y, Xu J Y, Liu X J 2008 Appl. Phys. Lett. 92 051913
[16] Cheng Y, Liu X J 2012 Appl. Phys. A 109 805
[17] Wu F G, Liu Z Y, Liu Y Y 2001 Chin. Phys. Lett. 18 785
[18] Wei Q, Cheng Y, Liu X J 2011 Acta Phys. Sin. 60 124301 (in chinese) [魏琦, 程营, 刘晓峻 2011 60 124301]
[19] Sigalas M M 1997 J. Acoust. Soc. Am. 101 1256
[20] Wang Z G, Lee S H, Kim C K, Park C M, Nahm K, Nikitov S A 2008 J. Appl. Phys. 103 064907
[21] Du G H, Zhu Z M, Gong X F 2001 Fundamentals of Acoustics (Nanjing: Najing University Press) p255 (in Chinese) [杜功焕, 朱哲民, 龚秀芬 2001 声学基础 (南京: 南京大学出版社) 第255页]
[22] Liu Z Y, Chan C T, Sheng P 2002 Phys. Rev. B 65 165116
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[1] Wen X S, Wen J H, Yu D L, Wang G, Liu Y Z, Han X Y 2009 Phononic crystals (Beijing: National Defense Industry Press) p1 (in Chinese) [温熙森, 温激鸿, 郁殿龙, 王刚, 刘耀宗, 韩小云 2009 声子晶体 (北京: 国防工业出版社) 第1页]
[2] Kushwaha M S, Halevi P, Dobrzynski L, Djafari-Rouhani B 1993 Phys. Rev. Lett. 71 2022
[3] Liu Q N 2011 Acta Phys. Sin. 60 034301 (in Chinese) [刘启能 2011 60 034301]
[4] Liu Z Y, Zhang X X, Mao Y W, Zhu Y Y, Yang Z Y, Chan C T, Sheng P 2000 Science 289 1734
[5] Ding C L, Zhao X P 2009 Acta Phys. Sin. 58 6351 (in Chinese) [丁昌林, 赵晓鹏 2009 58 6351]
[6] Ding C L, Zhao X P, Hao L M, Zhu W R 2011 Acta Phys. Sin. 60 044301 (in Chinese) [丁昌林, 赵晓鹏, 郝丽梅, 朱卫仁 2011 60 044301]
[7] Wen Q H, Zuo S G, Wei H 2012 Acta Phys. Sin. 61 034301 (in Chinese) [文岐华, 左曙光, 魏欢 2012 61 034301]
[8] Wang G, Wen X S, Wen J H, Shao L H, Liu Y Z 2004 Phys. Rev. Lett. 93 154302
[9] Chen S B, Wen J H, Wang G, Han X Y, Wen X S 2011 Chin. Phys. Lett. 28 094301
[10] Hu X H, Chan C T 2005 Phys. Rev. E 71 055601(R)
[11] Liu M, Hou Z L, Fu X J 2012 Acta Phys. Sin. 61 104302 (in Chinese) [刘敏, 侯志军, 傅秀军 2012 61 104302]
[12] Fang N, Xi D J, Xu J Y, Ambati M, Srituravanich W, Sun C, Zhang X 2006 Nature Mater. 5 452
[13] Cheng Y, Xu J Y, Liu X J 2008 Phys. Rev. B 77 045134
[14] Fok L, Zhang X 2011 Phys. Rev. B 83 214304
[15] Cheng Y, Xu J Y, Liu X J 2008 Appl. Phys. Lett. 92 051913
[16] Cheng Y, Liu X J 2012 Appl. Phys. A 109 805
[17] Wu F G, Liu Z Y, Liu Y Y 2001 Chin. Phys. Lett. 18 785
[18] Wei Q, Cheng Y, Liu X J 2011 Acta Phys. Sin. 60 124301 (in chinese) [魏琦, 程营, 刘晓峻 2011 60 124301]
[19] Sigalas M M 1997 J. Acoust. Soc. Am. 101 1256
[20] Wang Z G, Lee S H, Kim C K, Park C M, Nahm K, Nikitov S A 2008 J. Appl. Phys. 103 064907
[21] Du G H, Zhu Z M, Gong X F 2001 Fundamentals of Acoustics (Nanjing: Najing University Press) p255 (in Chinese) [杜功焕, 朱哲民, 龚秀芬 2001 声学基础 (南京: 南京大学出版社) 第255页]
[22] Liu Z Y, Chan C T, Sheng P 2002 Phys. Rev. B 65 165116
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