挖孔对散射体形状为圆柱的二维液体-液体声子晶体带隙的影响  

The Effects of The Four Specific Barvais Latticeson The Phononic Band Gaps For Two-Dimensional Water-Mercury Phononic Crystals

作　　者：许博旭[1] 皇浦改静[1] 高晓薇[1] 陶巧[1] 葛丽婷[1] 杨海[1] 

机构地区：[1]云南师范大学物理系,云南昆明650092

出　　处：《云南师范大学学报（自然科学版）》2012年第2期62-67,共6页Journal of Yunnan Normal University:Natural Sciences Edition

摘　　要：介绍了用平面波展开法计算二维正方形以及三角形排列,散射体为海水,散射体截面为环形,基质为汞的声子晶体。为了研究带隙的规律,固定了挖空的内圆半径为(0,1/12,1/13,1/14,1/15,1/16)。同时通过改变填充率来研究带隙的规律。结果发现当在实心的圆柱散射体上挖孔,最低带隙会在一些填充率下消失。In this paper,using the improved plane wave expansion method（PWE） to research and expound the band gaps for two-dimensional（2D） phononic crystals in which hollow sea water columns（scattering bodies） in a Mercury are taking as scattering bodies and are arranged in two kinds of lattices（i.e.regular square triangle）.The sections of the scattering objects are annular.In order to research the band gaps,we keep the radiuses of the inner circles（0,1/12,1/13,1/14,1/15,1/16） fixed and change the radiuses of the out circles,at same time alter the filling ratio.It is found that the width of the lowest band gap will decrease when we dig holes in cylinder.In square and triangular array,the belt gap or even disappear in some filling factor.

关 键 词：声子晶体 平面波展开法 空心圆环柱 正方形和三角形排列 

分 类 号：O175.29[理学—数学]