固-固无限周期声子晶体中SH波全反射隧穿的谐振理论

摘要

Using the boundary conditions the SH wave transfer matrix is derived in one-dimensional (1D) solid-solid photonic crystal, and the dispersion relation of the SH wave is obtained. The resonator model 1D infinite cycle photonic crystal is established, and the wavelength formula of SH wave total reflection tunnel effect is investigated using the resonance condition of resonator. The physical mechanism of SH wave total reflection tunnel effect in the 1D solid-solid infinite cycle phononic crystal is explained.%　　利用边界条件推导出SH波在一维固-固声子晶体中的转移矩阵，得出一维固-固无限周期声子晶体中SH波的色散关系。通过建立一维固-固无限周期声子晶体的谐振腔模型并利用共振条件得出SH波的全反射隧穿的波长公式。利用波长公式研究了SH波全反射隧穿的波长变化规律，其结果与色散法一致。解释了一维固-固无限周期声子晶体中SH波的全反射隧穿效应产生的原因。