| 二维声子晶体带结构的多散射分析及解耦模式 |
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| 引用本文： | 蔡力,韩小云.二维声子晶体带结构的多散射分析及解耦模式[J].物理学报,2006,55(11):5866-5871. |
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| 作者姓名： | 蔡力 韩小云 |
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| 作者单位： | 国防科技大学机电工程研究所，长沙 410073 |
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| 基金项目： | 国家重点基础研究发展计划(973计划) |
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| 摘 要： | 利用多散射方法研究了二维声子晶体中的带结构，通过对柱散射波各阶分波之间的耦合分析，发现在带隙边缘的模式存在与对称性相关的解耦现象. 由此在低阶带隙边缘出现独立的自洽的零阶多散射模式. 通过引入周期结构因子和Mie散射因子，得到表征低阶带隙起始频率的解析公式. 利用该公式，采用图解法，定量地说明了带隙起始频率随周期性和单散射体Mie散射特性变化的规律.
关键词：
声子晶体
多散射
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| 关 键 词： | 声子晶体 多散射 |
| 文章编号： | 1000-3290/2006/55(11)/5866-06 |
| 收稿时间： | 02 19 2006 12:00AM |
| 修稿时间： | 2006-02-192006-03-27 |
Study of the band-structure and the uncoupled modes in two-dimensional phononic crystals with the multiple-scattering theory |
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| Cai Li,Han Xiao-Yun.Study of the band-structure and the uncoupled modes in two-dimensional phononic crystals with the multiple-scattering theory[J].Acta Physica Sinica,2006,55(11):5866-5871. |
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| Authors: | Cai Li Han Xiao-Yun |
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| Institution: | Institute of Mechatronical Engineering , National University of Defense Technology, Changsha 410073, China |
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| Abstract: | The multi-scattering theory(MST)method is applied to study the band structure of the two-dimensional phononic band-gap material.A comprehensive study is performed for the coupling between various order components of the cylindrical scattered wave.It has been found that there are decoupling effects at the edge of the band gap.Therefore,a self-contained self-consistent multiple scattering model of the zeroth-order scattered wave is obtained at the edge of the first band gap.A Mie scattering factor and a lattice structure factor are introduced to give a physical insight into the variation of the gap's starting frequency by graphic analytic method. |
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| Keywords: | phononic crystal multiple scattering |
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