周期变截面波导中的缺陷态研究
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- 英文论文题名：The defect in acoustical waveguide with periodically corrugated boundaries
- 论文作者：刘婷 ; 桑汤庆 ; 刘欢 ; 樊亚仙 ; 陶智勇
- 英文论文作者：LIU Ting ; SANG Tang-qing ; LIU Huan ; FAN Ya-xian ; TAO Zhi-yong ; Key Lab of In-fiber Integrated Optics ; Ministry of Education of China ; Harbin Engineering University
- 年：2016
- 作者机构：哈尔滨工程大学理学院;
- 论文关键词：变截面波导 ; 周期结构 ; 缺陷态 ; 模式分析
- 英文论文关键词：waveguide with undulated walls ; periodic structure ; defect mode ; mode analysis
- 会议召开时间：2016-10-28
- 会议录名称：2016年全国声学学术会议论文集
- 语种：中文
- 分类号：O422
- 学会代码：OGSM
- 会议名称：2016年全国声学学术会议
- 会议地点：中国湖北武汉
- 主办单位：中国声学学会
- 学会名称：中国声学学会
- 页数：4
- 文件大小：396k
- 原文格式：D
- 会议级别：全国
摘要
声波在周期变截面圆柱波导中传播时,受周期结构的影响,在谱带中会产生Bragg禁带和非Bragg禁带。在波导中引入缺陷后,Bragg禁带和非Bragg禁带中都会出现缺陷模。本文设计了一种周期变截面声波导,在其中心位置处加入缺陷后,Bragg禁带中会出现一个缺陷模,而非Bragg禁带中会出现两个缺陷模。从声压分布图上看,最大声压值都分布在波导的缺陷附近,是缺陷模的一个重要的特征。数值模拟和模式分析表明,非Bragg禁带与Bragg禁带中的缺陷模具有不同的模式成分:Bragg缺陷模的主要成分为基模,高阶模成分极少;而非Bragg缺陷模的主要成分是一阶模,随频率增加基模显著减少。
When sound waves propagate in waveguide with periodically corrugated boundaries, Bragg gap and non-Bragg gap arise in the frequency spectrum due to the periodically corrugated structures. The defect state could be found in both Bragg gap and non-Bragg gap when introducing a straight duct into the periodical structures. The calculated transmission coefficients show that there is one defect state in Bragg gap but two in non-Bragg gap. And the maximum sound pressures are always localized in the defects. The numerical simulation and analysis of the defect mode indicate the different components of the Bragg and non-Bragg defect modes. The Bragg defect mode is the single fundamental mode while the non-Bragg defect mode consists of the fundamental and first mode. As the defect mode moves to the high frequency in the non-Bragg gap, the fundamental mode decreases significantly.
When sound waves propagate in waveguide with periodically corrugated boundaries, Bragg gap and non-Bragg gap arise in the frequency spectrum due to the periodically corrugated structures. The defect state could be found in both Bragg gap and non-Bragg gap when introducing a straight duct into the periodical structures. The calculated transmission coefficients show that there is one defect state in Bragg gap but two in non-Bragg gap. And the maximum sound pressures are always localized in the defects. The numerical simulation and analysis of the defect mode indicate the different components of the Bragg and non-Bragg defect modes. The Bragg defect mode is the single fundamental mode while the non-Bragg defect mode consists of the fundamental and first mode. As the defect mode moves to the high frequency in the non-Bragg gap, the fundamental mode decreases significantly.
引文
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[11]赵寰宇,何存富,吴斌,等.二维正方晶格多点缺陷声子晶体实验研究[J].物理学报,2013,62(13):301-310.Huan-Yu Z,Cun-Fu H,Bin W,et al.Experimental investigation of two-dimensional multi-point defect phononic crystals with square lattice[J].Acta Physica Sinica,2013,62(13):301-310.
[12]Tao,Zhi-Yong,Wei-Yu He,and Xinlong Wang.Resonance-induced band gaps in a periodic waveguide[J].Journal of Sound and Vibration,2008,313(3):830-840.
[13]王林,陶智勇,王新龙.非Bragg禁带中的缺陷态[J].声学学报,2011;36(2):202-206.WANG L,TAO Z Y,WANG X L,Defect states in the non-Bragg band gaps[J].Acta.Acustic,2011;36(2):202-206.
[14]Tao Z,He W,Xiao Y,et al.Wide forbidden band induced by the interference of different transverse acoustic standing-wave modes[J].Applied Physics Letters,2008,92(12):121920.
[2]Brillouin L.Wave propagation in periodic structures:electric filters and crystal lattices[M].Courier Corporation,2003.
[3]Ungar E E.Steady‐State Responses of One‐Dimensional Periodic Flexural Systems[J].The Journal of the Acoustical Society of America,1966,39(5A):887-894.
[4]Lin Y K.Random vibration of periodic and almost periodic structures[J].Mechanics today.,1976,3:93-124.
[5]Hodges C H.Confinement of vibration by structural irregularity[J].Journal of sound and vibration,1982,82(3):411-424.
[6]Sigalas M M.Elastic wave band gaps and defect states in two-dimensional composites[J].The Journal of the Acoustical Society of America,1997,101(3):1256-1261.
[7]Sigalas M M.Defect states of acoustic waves in a two-dimensional lattice of solid cylinders[J].Journal of Applied Physics,1998,84(6):3026-3030.
[8]Munday J N,Bennett C B,Robertson W M.Band gaps and defect modes in periodically structured waveguides[J].The Journal of the Acoustical Society of America,2002,112(4):1353-1358.
[9]Robertson W M,Baker C,Bennett C B.Slow group velocity propagation of sound via defect coupling in a one-dimensional acoustic band gap array[J].American Journal of Physics,2004,72(2):255-257.
[10]高东宝,曾新吾,周泽民,等.一维亥姆霍兹共振腔声子晶体中缺陷模式的实验研究[J].物理学报,2013,62(9):0943-0943.Dong-Bao G,Xin-Wu Z,Ze-Min Z,et al.Experiments on defect mode of one-dimensional phononic crystal containing Helmholtz resonators[J].Acta Physica Sinica,2013,62(9):0943-0943.
[11]赵寰宇,何存富,吴斌,等.二维正方晶格多点缺陷声子晶体实验研究[J].物理学报,2013,62(13):301-310.Huan-Yu Z,Cun-Fu H,Bin W,et al.Experimental investigation of two-dimensional multi-point defect phononic crystals with square lattice[J].Acta Physica Sinica,2013,62(13):301-310.
[12]Tao,Zhi-Yong,Wei-Yu He,and Xinlong Wang.Resonance-induced band gaps in a periodic waveguide[J].Journal of Sound and Vibration,2008,313(3):830-840.
[13]王林,陶智勇,王新龙.非Bragg禁带中的缺陷态[J].声学学报,2011;36(2):202-206.WANG L,TAO Z Y,WANG X L,Defect states in the non-Bragg band gaps[J].Acta.Acustic,2011;36(2):202-206.
[14]Tao Z,He W,Xiao Y,et al.Wide forbidden band induced by the interference of different transverse acoustic standing-wave modes[J].Applied Physics Letters,2008,92(12):121920.