两类一维流固声子晶体全向透射特性比较研究  

Comparative Study on the Omnidirectional Transmission Characteristics of Two Types One-dimensional Liquid-solid Phononic Crystals

作　　者：张赛[1] 张宇[1] 高晓薇[1] 

机构地区：[1]厦门大学水声通信与海洋信息技术教育部重点实验室,厦门361005

出　　处：《人工晶体学报》2014年第9期2286-2291,2306,共7页Journal of Synthetic Crystals

基　　金：国家自然科学基金(41276040;11174240);福建省自然科学基金(2012J06010)

摘　　要：研究了声纵波全向入射到两类一维流固声子晶体(第I类满足固体横波传播速度cst大于流体纵波传播速度cl以及第II类cst<cl)的透射特性。推导了其传递矩阵,并应用有限元方法进行验证,二者显示结果一致性.研究表明两类声子晶体呈现的不同声透射特征:第I类声子晶体中,高频声波在斜入射角大于第二全反射临界角条件下发生全反射现象,而低频声波却呈现全反射贯穿效应;第II类声子晶体中,在整个频段范围内均会出现周期性的透射导带。两类声子晶体均出现了低频声裂隙现象,第II类声子晶体低频声裂隙角范围明显大于第I类。The transmission characteristics of acoustic longitudinal wave propagating in two types onedimensional（ 1D） liquid-solid periodic phononic crystals（ type I satisfies： the shear velocity cstof solid material bigger than the longitudinal velocity clof liquid,while type II satisfies cst cl） incited by omnidirectional incidence were investigated.A theoretical model of wave propagation in 1D solid-fluid periodic structure with omnidirectional incidence was established using the transfer matrix method,and the finite element method is used to test the correctness of our derivation,both methods show good consistence.For type I phononic crystal,total reflection phenomenon happens at high frequency,however,at low frequency total reflection tunneling effect appears.For type II,periodic band structures will take place in all frequency ranges.Acoustic band fracture appears in both types phononic crystal,however,the angle range of the fracture of type II is significant greater than type I＇s.

关 键 词：传递矩阵 流固声子晶体 全反射贯穿 声裂隙 

分 类 号：O77[理学—晶体学]