摘要 利用传递矩阵法, 从理论上建立了全向入射条件下一维固-流周期结构中的声传播模型, 在此基础上计算、分析并比较了无限周期结构的声能带结构和有限周期结构中的声传输特性. 研究结果表明, 当声波以一定的入射角入射时, 固-流周期结构的低频通带区域存在一个声裂隙, 该声裂隙所对应的入射角大小与构成周期结构的固体层和流体层的密度或结构尺寸无关, 而仅取决于构成该周期性结构材料的波速. 关键词: 传递矩阵 / 全向入射 / 固-流周期结构 / 声裂隙 Abstract 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. Keywords: transfer matrix / omnidirectional incidence / solid-fluid periodic structure / acoustic band fracture 作者及机构信息 刘聪, 徐晓东, 刘晓峻 1. 南京大学, 近代声学教育部重点实验室, 南京 210093 基金项目: 国家自然科学基金(批准号: 11074126, 11274171, 11074124)和高等学校博士学科点专项科研基金(批准号: 20120091110001)资助的课题. Authors and contacts Liu Cong, Xu Xiao-Dong, Liu Xiao-Jun 1. Key Laboratory of Modern Acoustics, Nanjing University, Nanjing 210093, China Funds: Project supported by the National Natural Science Foundation of China (Grant Nos. 11074126, 11274171, 11074124) and the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20120091110001). 参考文献 [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 施引文献
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