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一维层状二组元声子晶体的带隙研究

     

摘要

Using the transfer matrix method, the transmission coefficients of elastic waves transmitting through the one-di-mensional layered binary phononic crystal have been numerically calculated for different lattice and thickness ratio of component and number of recombination periods. Furthermore, the start frequencies and cutoff frequencies and band gap width are calculat-ed. The results show that both the starting frequencies and the cutoff frequencies and the band gap width decrease with the lattice constant increasing. With the thickness ratio increasing, the starting frequencies are almost invariant, but the cutoff frequencies and the band gap width increase. However, the starting frequencies and the cutoff frequencies and the band gap width are almost invariant with the number of recombination periods increasing.%运用传输矩阵法数值计算了弹性波分别通过不同晶格常数、不同组元厚度比和不同复合周期数的一维层状二组元声子晶体的透射率,确定了带隙的起止频率和宽度。结果显示,晶格常数增大,起止频率和带隙宽度均变小;厚度比增加,起始频率几乎不变,而截止频率和带隙宽度几乎成线性增加;周期数增加,起止频率和带隙宽度均几乎不变。

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