Band structure characteristics of T-square fractal phononic crystals

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

中国物理B ›› 2013, Vol. 22 ›› Issue (3): 36101-036101.doi: 10.1088/1674-1056/22/3/036101

• CONDENSED MATTER: STRUCTURAL, MECHANICAL, AND THERMAL PROPERTIES • 上一篇下一篇

Band structure characteristics of T-square fractal phononic crystals

刘晓健, 凡友华

School of Natural Sciences and Humanities, Shenzhen Graduate School of Harbin Institute of Technology, Shenzhen 518055, China

收稿日期:2012-05-28 修回日期:2012-10-23 出版日期:2013-02-01 发布日期:2013-02-01
基金资助:
Project supported by the Research and Development Funds of the Shenzhen Science and Technology (Grant No.JC201005260129A).

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

Received:2012-05-28 Revised:2012-10-23 Online:2013-02-01 Published:2013-02-01
Contact: Fan You-Hua E-mail:yhfan@hit.edu.cn
Supported by:
Project supported by the Research and Development Funds of the Shenzhen Science and Technology (Grant No.JC201005260129A).

摘要/Abstract

摘要： 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.

关键词: fractal design, phononic crystal, band gap, filling ratio

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.

Key words: fractal design, phononic crystal, band gap, filling ratio

中图分类号: (Fractals; macroscopic aggregates (including diffusion-limited Aggregates))

61.43.Hv

63.20.-e (Phonons in crystal lattices) 71.20.-b (Electron density of states and band structure of crystalline solids)

刘晓健, 凡友华. Band structure characteristics of T-square fractal phononic crystals[J]. 中国物理B, 2013, 22(3): 36101-036101.

Liu Xiao-Jian (刘晓健), Fan You-Hua (凡友华). Band structure characteristics of T-square fractal phononic crystals[J]. Chin. Phys. B, 2013, 22(3): 36101-036101.

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Band structure characteristics of T-square fractal phononic crystals

Band structure characteristics of T-square fractal phononic crystals

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