一维非周期性声子晶体中声波动力学特性

摘要

基于转移矩阵法和局域振动模式理论,讨论了利用由树脂玻璃和水腔交替构成的声子晶体制备具有分子能态特点的宏观器件的方法；研究了水层宽度梯度变化时声子晶体中的Wannier-Stark阶梯和Bloch振荡.研究结果表明用宏观尺寸材料制备的声子晶体会表现出类似于微观的物理效应,这对于利用宏观尺寸的材料制备更为实际的声子晶体器件具有一定的参考价值.%Based on the standard transfer matrix method and the local mode of vibration,the design methods for macroscopic apparatus with molecule-like energy states constructing by twocomponent ultrasonic superlattice with alternate layers of plexiglas and water cavities have been proposed.The acoustic Wannier-Stark ladder and Bloch oscillations appearing in the transmission spectra of phononic superlattices induced by variation of thicknesses gradient of water cavities have been demonstrated.These results indicate that phononic superlattices composed of macroscopic-size materials manifest similar microphysics effects,which is of scientific significance to make more practical superlattice apparatus by macroscopic-size materials.