利用叠加理论研究固-液声子晶体纵波的能带结构

摘要

Using the coherent superposition principle,the transmittance formula of band is derived in 1D solid and liquid finite number cycles phononic crystal,and the coherent superposition theory is estab-lished.The coherent superposition theory and the transfer matrix theory is compared.The coherent superpo-setion theory has advantages of the transfer matrix theory,and the coherent superposition theory does not have disadvantages of the transfer matrix theory.The coherent superposition theory is a better way to study band of 1D solid and liquid finite number cycles phononic crystal.%采用相干叠加原理推导出一种研究一维固-液有限周期声子晶体中纵波的透射率公式，建立了一种研究一维固-液有限周期声子晶体能带的新方法———波叠加理论。将波叠加理论和转移矩阵法进行了比较研究，结果表明波叠加理论和转移矩阵法得出的结果是一致的。波叠加理论不仅具有转移矩阵法的优点，而且又克服了转移矩阵法的不足。因此波叠加理论是一种研究一维固-液有限周期声子晶体中纵波能带的更为有效的方法。