三维金刚石晶格声子晶体超宽频带隙特性研究

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振动与冲击 ›› 2018, Vol. 37 ›› Issue (13) : 190-194.

论文

江卫锋，殷鸣，向召伟，谢罗峰，殷国富

作者信息 +

Ultra-wide bandgap properties of 3D diamond lattice phonon crystal

JIANG Weifeng，YIN Ming，XIANG Zhaowei，XIE Luofeng，YIN Guofu

Author information +

文章历史 +

摘要

为获得宽频带隙，设计了一种三维声子晶体结构，由位于金刚石晶格格点的介质球通过连接柱连接形成。利用有限元法计算了声子晶体的能带结构、振动模态和透射谱。数值计算结果表明，该结构可以得到相对带隙宽度达到144.5%的超宽频弹性波带隙。介质球和连接柱的共振是宽频带隙产生的主要原因，介质球和连接柱直径的变化显著影响带隙边界和带隙宽度。此外，还利用平面波展开法计算了该结构的光子能带结构。结果显示该结构在具有超宽频弹性波带隙的同时还可获得一定宽度的光子带隙。该金刚石晶格“球-柱”结构可用于减振降噪材料和新型声光器件的设计开发。

Abstract

To get a wide bandgap, a 3D phonon crystal structure was obtained by placing dielectric spheres at diamond lattice points and connecting nearest-neighbor spheres with dielectric rods. Its energy band structures, vibration modes, and transmission spectra were calculated using the finite element method. The numerical calculation results showed that the diamond lattice phonon crystal structure displays an ultra-wide elastic wave bandgap with a relative bandgap width of 144.5%; the resonance of dielectric spheres and connecting rods is the main reason to cause the ultra-wide bandgap; variation of dielectric spheres and connecting rods’ diameters significantly affects bandgap boundary and bandgap width. Furthermore, this structure’s photonic energy band structure was calculated using the plane wave expansion method. The results showed that this diamond lattice sphere-rod structure not only has an ultra-wide phonon crystal bandgap, but also acquires a photonic bandgap with a definite width; this 3D diamond lattice phonon crystal structure can be applied in design and development of materials for vibration reduction and noise suppressing, and new type acousto-optic devices.

导出引用

江卫锋，殷鸣，向召伟，谢罗峰，殷国富. 三维金刚石晶格声子晶体超宽频带隙特性研究[J]. 振动与冲击, 2018, 37(13): 190-194

JIANG Weifeng，YIN Ming，XIANG Zhaowei，XIE Luofeng，YIN Guofu. Ultra-wide bandgap properties of 3D diamond lattice phonon crystal[J]. Journal of Vibration and Shock, 2018, 37(13): 190-194

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