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
[11]   INTERACTIONS AMONG MULTIPLE 3-DIMENSIONAL BODIES IN WATER-WAVES - AN EXACT ALGEBRAIC-METHOD [J].
KAGEMOTO, H ;
YUE, DKP .
JOURNAL OF FLUID MECHANICS, 1986, 166 :189-209
[12]  
LAMB H, 1995, HYDRODYNAMICS, P291
[13]   FULL VECTOR WAVE CALCULATION OF PHOTONIC BAND STRUCTURES IN FACE-CENTERED-CUBIC DIELECTRIC MEDIA [J].
LEUNG, KM ;
LIU, YF .
PHYSICAL REVIEW LETTERS, 1990, 65 (21) :2646-2649
[14]   THE INTERACTION OF WAVES WITH ARRAYS OF VERTICAL CIRCULAR-CYLINDERS [J].
LINTON, CM ;
EVANS, DV .
JOURNAL OF FLUID MECHANICS, 1990, 215 :549-569
[15]   HYDRODYNAMIC COEFFICIENTS FOR GROUPS OF INTERACTING VERTICAL AXISYMMETRICAL BODIES [J].
MAVRAKOS, SA .
OCEAN ENGINEERING, 1991, 18 (05) :485-515
[16]   Water-wave propagation through an infinite array of cylindrical structures [J].
McIver, P .
JOURNAL OF FLUID MECHANICS, 2000, 424 :101-125
[17]  
Mei C. C., 1989, APPL DYNAMICS OCEAN
[18]   CAPILLARY VISCOUS FORCING OF SURFACE-WAVES [J].
MILES, J .
JOURNAL OF FLUID MECHANICS, 1990, 219 :635-646
[19]   ON SURFACE-WAVES WITH ZERO CONTACT-ANGLE [J].
MILES, J .
JOURNAL OF FLUID MECHANICS, 1992, 245 :485-492
[20]   Three-dimensional complete photonic-band-gap structures in the visible [J].
Moroz, A .
PHYSICAL REVIEW LETTERS, 1999, 83 (25) :5274-5277