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Study of improved plane wave expansion method on phononic crystal

YAN ZHANG1,* , ZHI-QIANG NI1, LIN HAN1, ZI-MING ZHANG1, HAI-YAN CHEN1

Affiliation

  1. College of Mechanics and Materials, Hohai University, Nanjing 210098, Nanjing, People’s Republic of China

Abstract

An improved plane wave expansion method (IPWEM) is deduced by the combination of a dynamic differential equation, the Bloch theory and Fourier expansion. The IPWEM is proposed to improve the convergence of the conventional plane wave expansion method (CPWEM) in dealing with large band gaps in phononic crystals. The IPWEM is supported by the experiments: bend waves transmitting through a 2D phononic crystal. The numerical simulations show that the IPWEM has better prediction precision and higher efficiency compared to the CPWEM, in searching for large band gaps in phononic crystals..

Keywords

Phononic crystal, Band gap, Improved plane wave expansion method, Thin plate.

Citation

YAN ZHANG, ZHI-QIANG NI, LIN HAN, ZI-MING ZHANG, HAI-YAN CHEN, Study of improved plane wave expansion method on phononic crystal, Optoelectronics and Advanced Materials - Rapid Communications, 5, 8, August 2011, pp.870-873 (2011).

Submitted at: June 20, 2011

Accepted at: Aug. 10, 2011