Eur. Phys. J. B 34, 265-268 (2003)
https://doi.org/10.1140/epjb/e2003-00220-6

Localized states of acoustic waves in three-dimensional periodic composites with point defects

¹ Department of Physics, Wuhan University, Wuhan, 430072, PR China
² Department of Applied Physics, Guangdong University of Technology, Guangzhou, 510090, PR China
³ PBG Research Center, National University of Defense Technology, Changsha, 410073, PR China
⁴ Department of Applied Physics, South China University of Technology, Guangzhou, 510640, PR China

Corresponding author: ^a wufugen@21cn.com

Received: 14 December 2002
Revised: 5 May 2003
Published online: 11 August 2003

Abstract

Acoustic point defect states in the three-dimensional simple-cubic arrays of water spheres embedded in a mercury host are studied. Two kinds of defects are introduced, one is a sphere defect created by changing its radius, and another is a cubic defect obtained by replacing one of the spheres with a cube. The results show that a defect band appears in the band gap of the perfect crystals. The calculations show that the defect modes are localized around the defect. The influence of the filling fraction and the geometry of the defect on the defect modes are investigated in detail.