Investigation of a silicon-based one-dimensional phononic crystal plate via the super-cell plane wave expansion method |
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| Authors: | Zhu Xue-Feng Liu Sheng-Chun Xu Tao Wang Tie-Hai and Cheng Jian-Chun |
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| Affiliation: | Key Laboratory of Modern Acoustics, MOE, and Institute of Acoustics,Nanjing University, Nanjing 210093, China; Institute of Fibre Optics, Heilongjiang University, Harbin 150080, China |
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| 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. |
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| Keywords: | Lamb wave phononic crystal super-cell plane wave
expansion band structures |
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