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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 |
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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.
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Received: 28 May 2012
Revised: 23 October 2012
Accepted manuscript online:
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PACS:
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61.43.Hv
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(Fractals; macroscopic aggregates (including diffusion-limited Aggregates))
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63.20.-e
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(Phonons in crystal lattices)
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71.20.-b
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(Electron density of states and band structure of crystalline solids)
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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
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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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