固-液结构圆柱声子晶体中弹性波的模式和带隙

Mode and Bandgap of Elastic Wave in Solid-Liquid Cylindrical Phononic Crystal

摘要: 利用一维固-液结构圆柱声子晶体中弹性波横向受限的条件,推导弹性波在一维固-液结构圆柱声子晶体中各个模式满足的关系式,研究各个模式弹性波的特征.并用色散函数计算各模式弹性波的带隙随模式量子数和圆柱半径的变化规律.得出一维固-液结构圆柱声子晶体的带隙由模式量子数和圆柱半径确定.

Abstract: Mode of elastic wave in 1D solid-liquid cylindrical phononic crystal is obtained with restriction conditions of elastic wave.Bandgap of elastic wave is calculated with dispersion function.New structure of bandgap in 1D solid-liquid cylindrical phononic crystal is revealed.Bandgap of 1D solid-liquid cylindrical phononic crystal is determined with quantum number of mode and cylindrical radius.