Investigation of a silicon-based one-dimensional phononic crystal plate via the super-cell plane wave expansion method

doi:10.1088/1674-1056/19/4/044301

Abstract The super-cell plane wave expansion method is employed to calculate band structures for the design of a silicon-based one-dimensional phononic crystal plate with large absolute forbidden bands. In this method, a low impedance medium is introduced to replace the free stress boundary, which largely reduces the computational complexity. The dependence of band gaps on structural parameters is investigated in detail. To prove the validity of the super-cell plane wave expansion, the transmitted power spectra of the Lamb wave are calculated by using a finite element method. With the detailed computation, the band-gap of a one-dimensional plate can be designed as required with appropriate structural parameters, which provides a guide to the fabrication of a Lamb wave phononic crystal.

Keywords: Lamb wave phononic crystal super-cell plane wave expansion band structures

Received: 15 June 2009
Revised: 15 August 2009
Accepted manuscript online:

PACS:	63.22.-m	(Phonons or vibrational states in low-dimensional structures and nanoscale materials)
	43.35.Pt	(Surface waves in solids and liquids)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos.~10874086 and 10834009) and the National Basic Research Program of China (Grant No.~2010CB327803).

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Zhu Xue-Feng(祝雪丰), Liu Sheng-Chun(刘盛春), Xu Tao(徐涛), Wang Tie-Hai(王铁海), and Cheng Jian-Chun(程建春) Investigation of a silicon-based one-dimensional phononic crystal plate via the super-cell plane wave expansion method 2010 Chin. Phys. B 19 044301

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Investigation of a silicon-based one-dimensional phononic crystal plate via the super-cell plane wave expansion method

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