Lin Yan, He-ping Zhao, Xiao-yun Wang, Guo-sheng Huang, Xiu-yan Peng. Band Structure of Three-dimensional Phononic Crystals[J]. Chinese Journal of Chemical Physics , 2006, 19(2): 155-158. doi: 10.1360/cjcp2006.19(2).155.4
Citation: Lin Yan, He-ping Zhao, Xiao-yun Wang, Guo-sheng Huang, Xiu-yan Peng. Band Structure of Three-dimensional Phononic Crystals[J]. Chinese Journal of Chemical Physics , 2006, 19(2): 155-158. doi: 10.1360/cjcp2006.19(2).155.4

Band Structure of Three-dimensional Phononic Crystals

doi: 10.1360/cjcp2006.19(2).155.4
Funds:  the Natural Science Foundation of Hu'nan Province (Grant No. 00JJY2072) and the Foundation of Educational Committee of Hu'nan Province (Grant No. 01B019)
  • By using the plane-wave-expansion method, the band structure of three-dimension phononic crystals was calculated, in which the cuboid scatterers were arranged in a host with a face-centered-cubic (FCC) structure.The influences of a few factors such as the component materials, the filling fraction of scatterers and the ratio (RHL) of the scatterer's height to its length on the band-gaps of phononic crystals were investigated.It is found that in the three-dimension solid phononic crystals with FCC structure, the optimum case to obtain band-gaps is to embed high-velocity and high-density scatterers in a low-velocity and low-density host. The maximum value of band-gap can be obtained when the filling fraction is in the middle value. It is also found that the symmetry of the scatterers strongly influences the band-gaps. For RHL>1, the width of the band-gap decreases as RHL increases. On the contrary, the width of the band-gap increases with the increase of RHL when RHL is smaller than 1.
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Band Structure of Three-dimensional Phononic Crystals

doi: 10.1360/cjcp2006.19(2).155.4
Funds:  the Natural Science Foundation of Hu'nan Province (Grant No. 00JJY2072) and the Foundation of Educational Committee of Hu'nan Province (Grant No. 01B019)

Abstract: By using the plane-wave-expansion method, the band structure of three-dimension phononic crystals was calculated, in which the cuboid scatterers were arranged in a host with a face-centered-cubic (FCC) structure.The influences of a few factors such as the component materials, the filling fraction of scatterers and the ratio (RHL) of the scatterer's height to its length on the band-gaps of phononic crystals were investigated.It is found that in the three-dimension solid phononic crystals with FCC structure, the optimum case to obtain band-gaps is to embed high-velocity and high-density scatterers in a low-velocity and low-density host. The maximum value of band-gap can be obtained when the filling fraction is in the middle value. It is also found that the symmetry of the scatterers strongly influences the band-gaps. For RHL>1, the width of the band-gap decreases as RHL increases. On the contrary, the width of the band-gap increases with the increase of RHL when RHL is smaller than 1.

Lin Yan, He-ping Zhao, Xiao-yun Wang, Guo-sheng Huang, Xiu-yan Peng. Band Structure of Three-dimensional Phononic Crystals[J]. Chinese Journal of Chemical Physics , 2006, 19(2): 155-158. doi: 10.1360/cjcp2006.19(2).155.4
Citation: Lin Yan, He-ping Zhao, Xiao-yun Wang, Guo-sheng Huang, Xiu-yan Peng. Band Structure of Three-dimensional Phononic Crystals[J]. Chinese Journal of Chemical Physics , 2006, 19(2): 155-158. doi: 10.1360/cjcp2006.19(2).155.4

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