固-固结构声子晶体中弹性波的禁带及其转型

引入四维波矢的概念,推导出弹性波斜入射固-固结构声子晶体的转移矩阵以及透射系数公式.利用这些公式计算了纵波和横波斜入射固-固结构声子晶体时纵波和横波的透射系数.结果表明:当纵波斜入射时,在透射波中纵波会出现禁带,并且也出现了纵波向横波的转型,随着入射角的增大转型越明显.当横波斜入射时也会出现类似于纵波斜入射时的现象.这些公式成功地解决了弹性波斜入射固-固结构声子晶体的传输问题和转型问题.

Forbidden Band and Reforming of the Elastic Wave in Solid and Solid Constitute Phononic Crystal

Leading into the four-dimensional wave vector, the transfer matrix and the transmission coefficients of the solid and solid constitute phononic crystal were inferred. Using these formula the transmission coefficient of the longitudinal wave and transversal wave in the solid and solid constitute phononic crystal were calculated. When longitudinal wave oblique incidence, there is the forbidden band of longitudinal wave in the transmission wave, and there is reforming that longitudinal wave to transversal wave, the greater the incident angle is more obvious of the reforming. When transversal wave oblique incidence there is similar result also. Used these formula the transmission and reforming of the elastic wave in the solid and solid constitute phononic crystal are solved.