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二维正方点阵固态声子晶体带隙研究
引用本文:颜琳,赵鹤平,王小云,彭秀艳. 二维正方点阵固态声子晶体带隙研究[J]. 吉首大学学报(自然科学版), 2005, 26(1): 76-79
作者姓名:颜琳  赵鹤平  王小云  彭秀艳
作者单位:湘潭大学材料与光电物理学院,湖南,湘潭,411105;吉首大学物理科学与信息工程学院,湖南,吉首,416000;吉首大学物理科学与信息工程学院,湖南,吉首,416000
基金项目:湖南省自然科学基金资助项目(00JJY2072),湖南省学科带头人资助项目(湘教通2002[187号])
摘    要:
声子晶体对声子晶体带结构的研究具有极大的理论和应用价值.介绍了用平面波展开法计算二维正方点阵的固态声子晶体带隙的方法,研究不同截面形状的散射物对晶体带隙的影响.当填充分数F<0.5时,圆形截面散射物体系比正方形截面及长方形截面的体系有利于带隙产生,而当F>0.5时,则正方形截面的体系更优越.

关 键 词:声子晶体  带隙  正方点阵  平面波展开法
文章编号:1007-2985(2005)01-0076-04
修稿时间:2004-12-28

Band Gap Calculation for Two-Dimensional Solid Phononic Crystals with Square Lattices
YAN Lin,ZHAO He-ping,WANG Xiao-yun,PENG Xiu-yan. Band Gap Calculation for Two-Dimensional Solid Phononic Crystals with Square Lattices[J]. Journal of Jishou University(Natural Science Edition), 2005, 26(1): 76-79
Authors:YAN Lin  ZHAO He-ping  WANG Xiao-yun  PENG Xiu-yan
Affiliation:(1.Faculty of Material Science and Photoelectronic Physics,Xiangtan University,Xiangtan,411105,Hunan China; 2.College of Physics Science and Information Engineering,Jishou University,Jishou 416000,Hunan China)
Abstract:
The study of phononic crystals band gap will not only give rise to a new interesting theory,but also open up variety of possible application.The plane wave expansion method is introduced to calculate the band gap for two-dimensional solid phononic crystals with square lattices.The effects of different shapes of the scatterers' section on band gaps are investigated.The calculated results show that when the scatterers' filling fraction F<0.5,the circular section is easier to attain large band gaps than the square section and rectangle one;while when F>0.5,the square section is more favorable for the appearance of the band gaps.
Keywords:phononic crystals  band gap  square lattice  plane wave expansion method
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