Band structures and band gaps of liquid surface waves propagating through an infinite array of cylinders

被引:41
作者
Hu, XH [1 ]
Shen, YF
Liu, XH
Fu, RT
Zi, J
Jiang, XY
Feng, SL
机构
[1] Fudan Univ, Surface Phys Lab, Natl Key Lab, Shanghai 200433, Peoples R China
[2] Chinese Acad Sci, Shanghai Inst Microsyst & Informat Technol, Shanghai, Peoples R China
来源
PHYSICAL REVIEW E | 2003年 / 68卷 / 03期
关键词
D O I
10.1103/PhysRevE.68.037301
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The multiple scattering method is applied to the calculations of band structures of liquid surface waves propagating through an infinite array of vertical cylinders. The influence of the filling fraction on the formation of band gaps is discussed. It is found that there exist complete band gaps for both the square and triangular arrays of cylinders.
引用
收藏
页数:4
相关论文
共 30 条
[1]  
[Anonymous], 1996, Photonic band gap materials
[2]  
Ashcroft N. W., 1973, SOLID STATE PHYS
[3]   GREENS-FUNCTION AND LATTICE SUMS FOR ELECTROMAGNETIC SCATTERING BY A SQUARE ARRAY OF CYLINDERS [J].
CHIN, SK ;
NICOROVICI, NA ;
MCPHEDRAN, RC .
PHYSICAL REVIEW E, 1994, 49 (05) :4590-4602
[4]   Band structure of surface flexural-gravity waves along periodic interfaces [J].
Chou, T .
JOURNAL OF FLUID MECHANICS, 1998, 369 :333-350
[5]   Liquid surface wave band structure instabilities [J].
Chou, T .
PHYSICAL REVIEW LETTERS, 1997, 79 (24) :4802-4805
[6]   Propagation of water waves through finite periodic arrays of vertical cylinders [J].
Ha, YK ;
Kim, JE ;
Park, HY ;
Lee, IW .
APPLIED PHYSICS LETTERS, 2002, 81 (07) :1341-1343
[7]   EXISTENCE OF A PHOTONIC GAP IN PERIODIC DIELECTRIC STRUCTURES [J].
HO, KM ;
CHAN, CT ;
SOUKOULIS, CM .
PHYSICAL REVIEW LETTERS, 1990, 65 (25) :3152-3155
[8]  
Joannopoulos J. D., 1995, PHOTONIC CRYSTALS
[9]   Photonic crystals: Putting a new twist on light [J].
Joannopoulos, JD ;
Villeneuve, PR ;
Fan, SH .
NATURE, 1997, 386 (6621) :143-149