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2011•Optoelectronics and Advanced Materials Rapid CommunicationsRequires access

Study of improved plane wave expansion method on phononic crystal

Yan Zhang, NI Zhi-qiang, Lin Han, Ziming Zhang, Haiyan Chen

Open publisher page 9 citations

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.

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What this paper is about

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.

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OpenAlex reports 9 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available 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.

Key concepts: Plane wave expansion, Plane wave expansion method, Convergence (economics), Acoustic metamaterials, Band gap, Crystal (programming language), Plane (geometry), Plane wave

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