有限周期声子晶体中SH波能带的波叠加理论

Wave Superposition Theory of SH Wave Energy Band In Finite Number Cycles Phononic Crystal

利用波的叠加原理推导出一维有限周期声子晶体中偏振方向垂直于入射面的横波(SH)的透射率公式,即建立了一种研究一维有限周期声子晶体中SH波能带的新方法——波叠加法。将波叠加法和转移矩阵法进行了比较研究,结果表明,波叠加法与转移矩阵法的结果一致。波叠加法既具有转移矩阵法能对能带进行数值计算的优点,又克服了转移矩阵法不能解释能带的产生原因的缺点。因此,波叠加法是研究一维有限周期声子晶体中SH波能带的一种更有效的方法。

Using the wave superposition theory,the transmittance formula of SH wave is derived in 1Dfinite number cycles phononic crystal,and the wave superposition theory is established.The comparative study on the wave superposition theory and the transfer matrix theory are carried out.The results show that the two methods are same.The wave superposition theory has advantages of the numerical calculation of the transfer matrix theory,while overcomes the disadvantages of the transfer matrix theory which can not interpret the cause of generating the energy band.Thus the wave superposition theory is a better way to study SH wave energy band in 1Dfinite number cycles phononic crystal.