镜像单元周期性固液声子晶体中谐振的研究

Study on the Resonance in Periodic Solid-Liquid Phononic Crystal With Mirror Cells

利用散射矩阵,通过数值计算,研究了声纵波在镜像单元一维固-液周期声子晶体中的谐振特性。由Bloch定理的色散关系得到了其带隙结构。声纵波正入射时,在透射谱的奇数倍频附近出现6条窄带谐振透射峰,而偶数倍频附近有5条弱谐振透射峰。当声纵波斜入射时,谐振透射峰均向高频方向移动,且透射带宽减小。另外,在全反射条件下声纵波入射时,透射谱中谐振透射表明,此时产生了谐振隧穿效应。当入射角为25°时,透射谱中仅有一条谐振隧穿峰。

Using the scattering matrix, the resonance characteristics of the longitudinal acoustic wave in one-dimensional solid-liquid periodic phononic crystal with mirror cell are studied by numerical calculation. The band gap structure is obtained from the dispersion relation of the Bloch theorem. When the acoustic longitudinal wave is normally incidence, six narrow-band resonant transmission peaks appear in the vicinity of odd frequency multiplications, while five weak resonant transmission peaks appear in the vicinity of even frequency multiplications. When the acoustic longitudinal wave is obliquely incident, the resonant transmission peaks shift towards the high frequency regions, and the transmission bandwidth is reduced. In addition, when the acoustic longitudinal wave is incident under total reflection conditions, the resonant transmission in the transmission spectrum indicates that the resonant tunneling effect is generated at this time. When the incident angle is 25°, there is only one resonant tunneling peak in the transmission spectrum.