Band-structure results for elastic waves interpreted with multiple-scattering theory

Band-structure results for elastic waves interpreted with multiple-scattering theory
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DOI:
10.1103/physrevb.74.153101
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发表时间:
2006-10-01
期刊:
影响因子:
3.7
通讯作者:
Wen Xisen
Wen Xisen
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Li Cai;Han Xiaoyun;Wen Xisen

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采用多重散射方法分析了弹性波在二元声子晶体中传播的能带结构。已经发现,在布里渊区的高对称点处存在打开光谱间隙的解耦合效应。在第一带隙的边缘,已经获得了一个自包含的多重散射模式,它只包括零阶柱面波分量。得到了第一带隙起始频率的解析关系式,该关系式同时考虑了单个夹杂物的周期性结构特性和Mie散射。采用图解分析法,分别评价了这两种性能的影响,并进行了综合评价。
The band-structure results for elastic wave propagating in a binary phononic crystal are analyzed by employing a multiple-scattering approach. It has been found that there are uncoupling effects at the high symmetry points of the Brillouin zone that open the spectral gaps. At the edge of the first band gap, a self-contained multiple scattering mode has been obtained which comprises only the zeroth-order cylindrical wave component. An analytic relationship for the beginning frequency of the first band gap has been obtained which comprises the periodic structural property and the Mie scattering of a single inclusion simultaneously. By graphic analytic method, the influence of these two properties were evaluated separately and combined.