| 引用本文: | 高东宝,曾新吾.带点缺陷的一维亥姆霍兹共振腔声子晶体中缺陷模式.[J].国防科技大学学报,2013,35(5):129-134.[点击复制] |
| GAO Dongbao,ZENG Xinwu.Defect modes in the phononic crystal based on Helmholtz resonators with point defect[J].Journal of National University of Defense Technology,2013,35(5):129-134[点击复制] |
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| 带点缺陷的一维亥姆霍兹共振腔声子晶体中缺陷模式 |
| 高东宝, 曾新吾 |
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(国防科技大学 光电科学与工程学院，湖南 长沙 410073)
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| 摘要: |
| 在基于亥姆霍兹共振腔的一维声子晶体中引入点缺陷会在原有局域共振型声禁带内产生缺陷模式。采用传递矩阵法和有限元法分析了缺陷模式随缺陷单元几何尺寸变化关系和声子晶体中声场分布情况。结果表明，随着缺陷单元与完美单元之间耦合程度的增强，缺陷模式从局域共振型禁带中完美单元共振频率处向禁带边缘移动。同时，缺陷模式的存在使得结构中出现了能量局域化的现象。本工作对设计新型声滤波器、能量集中装置具有一定的理论意义。 |
| 关键词: 亥姆霍兹共振腔 声子晶体 点缺陷 缺陷模式 |
| DOI： |
| 投稿日期：2013-01-29 |
| 基金项目:国家部委资助项目（404030203） |
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| Defect modes in the phononic crystal based on Helmholtz resonators with point defect |
| GAO Dongbao, ZENG Xinwu |
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(College of Opto-electronic Science and Engineering, National University of Defense Technology, Changsha 410073, China)
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| Abstract: |
| Defect mode can be created by introducing point defect in the one-dimensional crystal containing Helmholtz resonators. Based on the acoustic transfer matrix method and finite element method, the relationship among the defect mode, the geometrical parameters of the defect cell, and the acoustic field distribution in the structure at the frequency of the defect mode was studied. The results show that the defect mode moves to the edges of the local resonant forbidden band with the increase of the coupling effect between the defect cell and the perfect cells. In addition, acoustic energy localization is also observed due to the existence of the defect state. The research result will be of help for designing new acoustic filters and energy concentrators. |
| Keywords: Helmholtz resonator phononic crystal point defect defect mode |
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