Band Structure of Three-Dimensional Phononic Crystals with an Opal Structure

被引:1
作者
Tanaka, Yukihiro [1 ]
Tamura, Shin-ichiro [1 ]
Okada, Takuro [1 ]
机构
[1] Hokkaido Univ, Dept Appl Phys, Sapporo, Hokkaido 0608628, Japan
来源
IUTAM SYMPOSIUM ON RECENT ADVANCES OF ACOUSTIC WAVES IN SOLIDS | 2010年 / 26卷
关键词
COMPOSITES; SCATTERING; WAVES;
D O I
10.1007/978-90-481-9893-1_18
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
We made a systematic investigation on the band structure of sound waves in three-dimensional phononic crystals consisting of periodic arrays of spheres with an opal structure. The opal structure is made with close-packed solid spheres surrounded by air (or vacuum). We introduce a sintering parameter which characterizes the contact between adjacent spheres. For a proper range of parameters we find the existence of a complete band gap in the structure. We also find that several flat bands appear below the lowest eigenfrequency of vibration of the isolated sphere. To understand the vibrational motion of the modes in these flat bands, their intensity distributions are also shown.
引用
收藏
页码:193 / 200
页数:8
相关论文
共 9 条
[1]   Hypersonic modulation of light in three-dimensional photonic and phononic band-gap materials [J].
Akimov, A. V. ;
Tanaka, Y. ;
Pevtsov, A. B. ;
Kaplan, S. F. ;
Golubev, V. G. ;
Tamura, S. ;
Yakovlev, D. R. ;
Bayer, M. .
PHYSICAL REVIEW LETTERS, 2008, 101 (03)
[2]  
Gorishnyy T, 2005, PHYS WORLD, V18, P24
[3]   Multiple-scattering theory for three-dimensional periodic acoustic composites [J].
Kafesaki, M ;
Economou, EN .
PHYSICAL REVIEW B, 1999, 60 (17) :11993-12001
[4]   ACOUSTIC BAND-STRUCTURE OF PERIODIC ELASTIC COMPOSITES [J].
KUSHWAHA, MS ;
HALEVI, P ;
DOBRZYNSKI, L ;
DJAFARIROUHANI, B .
PHYSICAL REVIEW LETTERS, 1993, 71 (13) :2022-2025
[5]   Elastic wave scattering by periodic structures of spherical objects: Theory and experiment [J].
Liu, ZY ;
Chan, CT ;
Sheng, P ;
Goertzen, AL ;
Page, JH .
PHYSICAL REVIEW B, 2000, 62 (04) :2446-2457
[6]   Acoustic properties of colloidal crystals [J].
Psarobas, IE ;
Modinos, A ;
Sainidou, R ;
Stefanou, N .
PHYSICAL REVIEW B, 2002, 65 (06) :643071-643076
[7]   Scattering of elastic waves by periodic arrays of spherical bodies [J].
Psarobas, IE ;
Stefanou, N ;
Modinos, A .
PHYSICAL REVIEW B, 2000, 62 (01) :278-291
[8]   Simultaneous occurrence of structure-directed and particle-resonance-induced phononic gaps in colloidal films [J].
Still, T. ;
Cheng, W. ;
Retsch, M. ;
Sainidou, R. ;
Wang, J. ;
Jonas, U. ;
Stefanou, N. ;
Fytas, G. .
PHYSICAL REVIEW LETTERS, 2008, 100 (19)
[9]   Band structure of acoustic waves in phononic lattices: Two-dimensional composites with large acoustic mismatch [J].
Tanaka, Y ;
Tomoyasu, Y ;
Tamura, S .
PHYSICAL REVIEW B, 2000, 62 (11) :7387-7392