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Chin. Phys. B, 2013, Vol. 22(3): 036101    DOI: 10.1088/1674-1056/22/3/036101
CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES Prev   Next  

Band structure characteristics of T-square fractal phononic crystals

Liu Xiao-Jian (刘晓健), Fan You-Hua (凡友华)
School of Natural Sciences and Humanities, Shenzhen Graduate School of Harbin Institute of Technology, Shenzhen 518055, China
Abstract  The T-square fractal two-dimensional phononic crystal model is presented in this article. A comprehensive study is performed for the Bragg scattering and locally resonant fractal phononic crystal. We find that the band structures of the fractal and non-fractal phononic crystals at the same filling ratio are quite different through using the finite element method. The fractal design has important impact on the band structures of the two-dimensional phononic crystals.
Keywords:  fractal design      phononic crystal      band gap      filling ratio  
Received:  28 May 2012      Revised:  23 October 2012      Accepted manuscript online: 
PACS:  61.43.Hv (Fractals; macroscopic aggregates (including diffusion-limited Aggregates))  
  63.20.-e (Phonons in crystal lattices)  
  71.20.-b (Electron density of states and band structure of crystalline solids)  
Fund: Project supported by the Research and Development Funds of the Shenzhen Science and Technology (Grant No.JC201005260129A).
Corresponding Authors:  Fan You-Hua     E-mail:  yhfan@hit.edu.cn

Cite this article: 

Liu Xiao-Jian (刘晓健), Fan You-Hua (凡友华) Band structure characteristics of T-square fractal phononic crystals 2013 Chin. Phys. B 22 036101

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