正方点阵上Fibonacci超元胞声子晶体的带结构

郝国郡; 傅秀军; 侯志林

doi:10.3321/j.issn:1000-3290.2009.12.057

物理学报

正方点阵上Fibonacci超元胞声子晶体的带结构

, ,

郝国郡, 傅秀军, 侯志林. 2009: 正方点阵上Fibonacci超元胞声子晶体的带结构, 物理学报, 58(12): 8484-8488. doi: 10.3321/j.issn:1000-3290.2009.12.057

引用本文:

郝国郡, 傅秀军, 侯志林. 2009: 正方点阵上Fibonacci超元胞声子晶体的带结构, 物理学报, 58(12): 8484-8488. doi: 10.3321/j.issn:1000-3290.2009.12.057

Hao Guo-Jun, Fu Xiu-Jun, Hou Zhi-Lin. 2009: Band structure of phononic crystal constructed by Fibonacci super-cell on square lattice, Acta Physica Sinica, 58(12): 8484-8488. doi: 10.3321/j.issn:1000-3290.2009.12.057

Citation:

Hao Guo-Jun, Fu Xiu-Jun, Hou Zhi-Lin. 2009: Band structure of phononic crystal constructed by Fibonacci super-cell on square lattice, Acta Physica Sinica, 58(12): 8484-8488. doi: 10.3321/j.issn:1000-3290.2009.12.057

正方点阵上Fibonacci超元胞声子晶体的带结构

华南理工大学物理系,广州,510640

Band structure of phononic crystal constructed by Fibonacci super-cell on square lattice

摘要: 用平面波展开方法研究了水柱体作为填充物,按照二维Fibonacci排列成超元胞填充在Hg基体中构成的声子晶体的声频带结构.结果发现,随着超元胞中准晶格常数的变化,各个能带均出现三分裂.对声场分布的研究发现了居间态的存在.这些现象体现了准周期结构的特征.
- Fibonacci排列 /
- 声子晶体 /
- 能带结构
Abstract: Using the plane-wave expansion method, we study the band structure of a phononic crystal with water rods embedded in mercury to form a super-cell according to the two-dimensional Fibonacci array. It is found that each band splits into three sub bands with the change of quasilattice constants and there exist intermediate states, which reflect the peculiar properties of quasiperiodic systems.