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