Resonance Study of Elastic Wave in Phononic Crystal Hetero-structure Using Scattering Matrix Method
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摘要: 利用散射矩阵把弹性波在相邻介质层中的前向波和后向波联系起来。利用散射矩阵法计算一维完整和缺陷声子晶体的透射和反射特性,得到与传输矩阵法完全相同的结果。用该方法研究了弹性波在含两个子声子晶体:相同介质不同周期常数,不同介质相同周期常数的异质结声子晶体中的传输特性。结果表明:在异质结的声子晶体的带隙内出现强烈的局域谐振模,其数目由后一个声子晶体的周期数决定。Abstract: The forward and backward waves in the adjacent layers were related by a scattering matrix (SM). Thetransmittance and reflectance of one-dimensional perfect and defective phononic crystal (PnC) were calculated byusing of SM method (SMM),and the results are identical with those of transfer matrix method (TMM). Further-more,for normal incident elastic wave,the transmittance of PnC hetero-structures with two sub-PnCs,which arecomposed of same media with different periodic constant and different media with same periodic constant,were ob-served respectively. The results suggest that the locally resonant modes should be strengthened in band-gaps and thenumber of the resonant modes should be determined by the periodic number of the last PnC.
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Key words:
- elastic wave /
- scattering matrix /
- phononic crystal /
- hetero-structure
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