Eur. Phys. J. B 67, 501-505 (2009)
https://doi.org/10.1140/epjb/e2009-00057-y

Wave localization in two-dimensional periodic systems with randomly disordered size

¹ P.O. Box 137, School of Astronautics, Harbin Institute of Technology, 150001, Harbin, P.R. China
² Department of Mechanical Sciences and Engineering, Tokyo Institute of Technology, 2-12-1, O-okayama, Meguro-ku, 152-8552, Tokyo, Japan
³ Institute of Engineering Mechanics, Beijing Jiaotong University, 100044, Beijing, P.R. China

Corresponding authors: ^a wangyize@gmail.com - ^b fmli@hit.edu.cn

Received: 13 November 2008
Revised: 14 January 2009
Published online: 18 February 2009

Abstract

The expression of the localization factor in the two-dimensional periodic systems is derived based on the plane-wave expansion, transfer matrix and matrix eigenvalue methods. A comprehensive study is performed for the wave localization in the phononic crystal which is composed of steel cylinders embedded in epoxy matrix with the randomly disordered rod size. From the results, it can be observed that with the increase of the disorder degree, the localization phenomenon is strengthened. Furthermore, the filling fraction has significant effects on the wave localization characteristics.