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In order to study the characteristics of acoustic/elastic wave propagation in one-dimensional (1D) solid-fluid periodic structure incited by omnidirectional incidence, a theoretical model of wave propagation in 1D solid-fluid periodic structure is established using a transfer matrix method. Based on this model, the band structures of the infinite case and the transmission properties of the finite one are further calculated and analyzed. The results show that an acoustic band fracture appears in the low frequency transmission zone for a certain incident angle. The corresponding incident angle of the fracture is non-relevant to the mass densities or the thicknesses of the solid and fluid layers constituting the periodic structure, and determined only by the wave velocity of the constituent material.
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Keywords:
- transfer matrix /
- omnidirectional incidence /
- solid-fluid periodic structure /
- acoustic band fracture
[1] Kushwaha M S, Halevi P, Dobrzynski L, Djafari-Rouhani B 1993 Phys. Rev. Lett. 71 2022
[2] Martinezsala R, Sancho J, Sanchez J V, Gomez V, Llinares J, Meseguer F 1995 Nature 378 241
[3] Wang G, Wen J H, Han X Y, Zhao H G 2003 Acta Phys. Sin. 52 1943 (in Chinese) [王刚, 温激鸿, 韩小云, 赵宏刚 2003 物理学报 52 1943]
[4] Wen J H, Wang G, Yu D L, Zhao H G, Liu Y Z 2005 J. Appl. Phys. 97 114907
[5] Gao G Q, Ma S L, Jin F, Kim T B, Lu T J 2010 Acta Phys. Sin. 59 393 (in Chinese) [高国钦, 马守林, 金峰, 金东范, 卢天健 2010 物理学报 59 393]
[6] Zhao D G, Liu Z Y, Qiu C Y, He Z J, Cai F Y, Ke M Z 2007 Phys. Rev. B 76 144301
[7] Jia H, Ke M Z, He Z J, Peng S S, Liu G Q, Mei X F, Liu Z Y 2009 J. Appl. Phys. 106 044512
[8] Wei Q, Cheng Y, Liu X J 2011 Acta Phys. Sin. 60 124301 (in Chinese) [魏琦, 程营, 刘晓峻 2011 物理学报 60 124301]
[9] El Hassouani Y, El Boudouti E H, Djafari-Rouhani B, Aynaou H, Dobrzynski L 2006 Phys. Rev. B 74 144306
[10] El Hassouani Y, El Boudouti E H, Djafari-Rouhani B, Rais R 2007 J. Phys.: Conf. Ser. 92 012113
[11] Kafesaki M, Economou E N 1999 Phys. Rev. B 60 11993
[12] Sigalas M M, Garcia N 2000 J. Appl. Phys. 87 3122
[13] Notomi M 2000 Phys. Rev. B 62 10696
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[1] Kushwaha M S, Halevi P, Dobrzynski L, Djafari-Rouhani B 1993 Phys. Rev. Lett. 71 2022
[2] Martinezsala R, Sancho J, Sanchez J V, Gomez V, Llinares J, Meseguer F 1995 Nature 378 241
[3] Wang G, Wen J H, Han X Y, Zhao H G 2003 Acta Phys. Sin. 52 1943 (in Chinese) [王刚, 温激鸿, 韩小云, 赵宏刚 2003 物理学报 52 1943]
[4] Wen J H, Wang G, Yu D L, Zhao H G, Liu Y Z 2005 J. Appl. Phys. 97 114907
[5] Gao G Q, Ma S L, Jin F, Kim T B, Lu T J 2010 Acta Phys. Sin. 59 393 (in Chinese) [高国钦, 马守林, 金峰, 金东范, 卢天健 2010 物理学报 59 393]
[6] Zhao D G, Liu Z Y, Qiu C Y, He Z J, Cai F Y, Ke M Z 2007 Phys. Rev. B 76 144301
[7] Jia H, Ke M Z, He Z J, Peng S S, Liu G Q, Mei X F, Liu Z Y 2009 J. Appl. Phys. 106 044512
[8] Wei Q, Cheng Y, Liu X J 2011 Acta Phys. Sin. 60 124301 (in Chinese) [魏琦, 程营, 刘晓峻 2011 物理学报 60 124301]
[9] El Hassouani Y, El Boudouti E H, Djafari-Rouhani B, Aynaou H, Dobrzynski L 2006 Phys. Rev. B 74 144306
[10] El Hassouani Y, El Boudouti E H, Djafari-Rouhani B, Rais R 2007 J. Phys.: Conf. Ser. 92 012113
[11] Kafesaki M, Economou E N 1999 Phys. Rev. B 60 11993
[12] Sigalas M M, Garcia N 2000 J. Appl. Phys. 87 3122
[13] Notomi M 2000 Phys. Rev. B 62 10696
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