材料参数对二维正交异性声子晶体带隙的影响The Influence of Material Parameters on the Band Gap of Orthorhombic Phononic Crystal
陈慧珉,常红,李建宝
摘要(Abstract):
通过平面波展开法计算了以正方点阵排列的二维各向异性声子晶体(AlAs/GaAs)的带隙结构,得到频散曲线和带隙宽度随材料参数变化关系。计算结果表明基体和散射体材料参数有较大差别时,面内模态的能带结构中没有明显的完全带隙,但有方向带隙的存在,其中的ρa/ρb对面内带隙的影响较大,C44a/C44b和C11a/C11b对面内带隙影响较小;而面外模态的能带结构中存在明显的完全带隙,其中C44a/C44b对面外带隙起决定作用,ρa/ρb值略有影响。
关键词(KeyWords): 声子晶体;能带结构;带隙;平面波展开法;材料参数
基金项目(Foundation): 太原科技大学博士科研基金(20112012)
作者(Author): 陈慧珉,常红,李建宝
参考文献(References):
- [1]KUSHWAHA M S,HALEVI P,DOBRZYNSKI L,et al.Acoustic band structure of periodic elastic composites[J].Physical Re-view Letters,1993,71(13):2022-2025.
- [2]SIGALAS M M,ECONOMOU E N.Band Structre of Elasti Waves in Two Dimensional Systems[J].Solid State Communica-tions,1993,86:141-143.
- [3]KUSHWAHA M S,HAIEVI P.Band gap engineering in periodic elastic composites[J].Applied Physics Letters,1994,64:1085-1087.
- [4]YING-HONG L,CHIEN C C,RUEY-Lin C,et al.Phononic band gaps of elastic periodic structures:A homogenization theorystudy[J].Physical Review B,2007,75:054104.
- [5]KUSHWAHA M S,HAIEVI P,MARTINEZ G.Theory of acoustic band stracture of periodie elastic composites[J].Physical Re-view Letters,1994,49:2313-2322.
- [6]VASSEUR J O,DJAFARI ROUHANI B,DOBRZYNSKI L,et al.Complete acoustic band gaps in periodic fibre reinforced com-posite materials:the carbon/epoxy composite and some metallic systems[J].Journal of Physics:Condensed Matter,1994(6):8759-8770.
- [7]KUANG W M,HOU Z L,LIU Y Y.The band gaps of cubic phononic crystals with different shapes of scatterers[J].PhysicsLetters A,2004,332:481-490.
- [8]KUANG W M,HOU Z L,LIU Y Y,et al.The effects of shapes and symmetries of scatterers on the phononic band gap in 2Dphononic crystals[J].Journal of Physics D,2006,39:2067-2071.
- [9]周晓舟,汪越胜.决定二维声子晶体带隙的关键材料参数[J].功能材料,2009,40:413-416.
- [10]WU TSUNG-TSONG.Surface and Bulk account waves in two-dimensional phononic crystal consisting of materials with generalanisotropy[J].Physical Review B,2004,69:094301.
- [11]TANAKA Y,TAMURA S.Surface acoustic waves in two-dimensional periodic elastic structures[J].Physical Review B,1998,58:7958-7965.
- [12]GOLUB M V,FOMENKO S I,BUI T Q,et al.Transmission and band gaps of elastic sh waves in functionally graded periodiclaminates[J].International Journal of Solids and Structures,2012,49:344-354.