Band structure characteristics of T-square fractal phononic crystals

doi:10.1088/1674-1056/22/3/036101

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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