声子晶体中 SH 波缺陷模的相干叠加理论

摘要

Using the coherent superposition principle,the transmittance formula and frequency formula of SH wave defect mode are derived in 1D doping phononic crystal,and the coherent superposition theory is established.The coherent superposition theory,the transfer matrix theory and the resonance theory are compared.The coherent superposition theory has advantages of the transfer matrix theory and the reso-nance theory,and the coherent superposition theory does not have disadvantages of the transfer matrix theory and the resonance theory.The coherent superposition theory is a better way to study SH wave defect mode of phononic crystal.%利用波的相干叠加原理推导出一维掺杂声子晶体中 SH 波缺陷模的透射率公式和频率公式，即建立了缺陷模的相干叠加法。将相干叠加法与转移矩阵法和共振理论进行了比较研究，结果表明缺陷模的相干叠加法具备转移矩阵法和共振理论各自的优点，又克服了转移矩阵法和共振理论各自的不足。相干叠加法是研究一维掺杂声子晶体中 SH 波缺陷模的一种更有效的方法。