WAVELET METHOD FOR CALCULATING THE DEFECT STATES OF TWO-DIMENSIONAL PHONONIC CRYSTALS

作     者：Zhizhong Yah Yuesheng Wang Chuanzeng Zhang 

作者机构：Institute of Engineering Mechanics Beijing Jiaotong University Beijing 100044 China Department of Civil Engineering University of Siegen D-57076 Siegen Germany 

出 版 物：《Acta Mechanica Solida Sinica》 (固体力学学报（英文版）)

年 卷 期：2008年第21卷第2期

页      面：104-109页

核心收录：

学科分类：07[理学] 082403[工学-水声工程] 08[工学] 070206[理学-声学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 0824[工学-船舶与海洋工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 0702[理学-物理学] 

基　　金：the National Natural Science Foundation of China(No.10632020) the German Research Foundation(No.ZH 15/11-1) jointly by the China Scholarship Council and the German Academic Exchange Service(No.D/08/01795) 

主　　题：acoustic wave phononic crystal defect state wavelet band structure 

摘      要：Based on the variational theory, a wavelet-based numerical method is developed to calculate the defect states of acoustic waves in two-dimensional phononic crystals with point and line defects. The supercell technique is applied. By expanding the displacement field and the material constants （mass density and elastic stiffness） in periodic wavelets, the explicit formulations of an eigenvalue problem for the plane harmonic bulk waves in such a phononic structure are derived. The point and line defect states in solid-liquid and solid-solid systems are calculated. Comparisons of the present results with those measured experimentally or those from the plane wave expansion method show that the present method can yield accurate results with faster convergence and less computing time.