Existence of complete band gaps in 2D steel-water phononic crystal with square lattice

Cunfu HE , Huanyu ZHAO , Ruiju WEI , Bin WU

Front. Mech. Eng. ›› 2010, Vol. 5 ›› Issue (4) : 450 -454.

PDF (260KB)
Front. Mech. Eng. ›› 2010, Vol. 5 ›› Issue (4) : 450 -454. DOI: 10.1007/s11465-010-0105-y
RESEARCH ARTICLE
RESEARCH ARTICLE

Existence of complete band gaps in 2D steel-water phononic crystal with square lattice

Author information +
History +
PDF (260KB)

Abstract

This paper theoretically and experimentally studies the existence of complete band gaps in two-dimensional (2D) phononic crystal consisting of parallel steel rods in water with square lattice. The band structure of phononic crystal is calculated by a plane wave expansion (PWE) method. Based on the well-known ultrasonic immersion transmission technique, the overlapping transmission spectra of acoustic waves, a complete band gap, is experimentally measured along the two high-symmetry directions of the first irreducible Brillouin zone. There is a very good agreement between the experimental result and the range of frequencies of the complete band gap.

Keywords

phononic crystal / plane wave expansion (PWE) method / experimental study

Cite this article

Download citation ▾
Cunfu HE, Huanyu ZHAO, Ruiju WEI, Bin WU. Existence of complete band gaps in 2D steel-water phononic crystal with square lattice. Front. Mech. Eng., 2010, 5(4): 450-454 DOI:10.1007/s11465-010-0105-y

登录浏览全文

4963

注册一个新账户 忘记密码

References

[1]

Yablonovitch E. Inhibited spontaneous emission in solid-state physics and electronics. Physical Review Letters, 1987, 58(20): 2059–2062

[2]

John S. Strong localization of photons in certain disordered dielectric superlattices. Physical Review Letters, 1987, 58(23): 2486–2489

[3]

Sigalas M, Economou E N. Band structure of elastic waves in two dimensional systems. Solid State Communications, 1993, 86(3): 141–143

[4]

Kushwaha M S, Halevi P, Dobrzynski L, Djafari-Rouhani B. Acoustic band structure of periodic elastic composites. Physical Review Letters, 1993, 71(13): 2022–2025

[5]

Kushwaha M S, Halevi P, Martinez G, Dobrzynski L, Djafari-Rouhani B. Theory of acoustic band structure of periodic elastic composites. Physical Review B: Condensed Matter and Materials Physics, 1994, 49(4): 2313–2322

[6]

Kushwaha M S, Halevi P. Giant acoustic stop bands in two-dimensional periodic arrays of liquid cylinders. Applied Physics Letters, 1996, 69(1): 31–33

[7]

Sukhovich A, Merheb B, Muralidharan K, Vasseur J O, Pennec Y, Deymier P A, Page J H. Experimental and theoretical evidence for subwavelength imaging in phononic crystals. Physical Review Letters, 2009, 102(15): 154301

[8]

ZhouX Z, Wang Y S, Zhang C Z. Effects of material parameters on elastic band gaps of two-dimensional solid phononic crystals. Journal of Applied Physics, 2009, 106(1): 014903

[9]

Martínez-Sala R, Sancho J, Sánchez J V, Gómez, Llinares J, Meseguer F. Sound attenuation by sculptures. Nature, 1995, 378: 241

[10]

Montero de Espinosa F R, Jimenez E, Torres M. Ultrasonic band gap in a periodic two-dimensional composite. Physical Review Letters, 1998, 80(6): 1208–1211

[11]

Khelif A, Choujaa A, Djafari-Rouhani B, Wilm M, Ballandras S, Laude V. Trapping and guiding of acoustic waves by defect modes in a full-band-gap ultrasonic crystal. Physical Review B: Condensed Matter and Materials Physics, 2003, 68(21): 0214301

[12]

Hsiao F L, Khelif A, Moubchir H, Choujaa A, Chen C C, Laude V. Complete band gaps and deaf bands of triangular and honeycomb water-steel phononic crystals. Journal of Applied Physics, 2007, 101(4): 044903

[13]

Caballero D, Sanchez-Dehesa J, Rubio C, Martinez-Sala R, Sanchez-Perez J V, Meseguer F, Llinares J. Large two-dimensional sonic band gaps. Physical Review E: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 1999, 60(6): R6316–R6319

[14]

Miyashita T, Sato W, Nakaso Y, Mukuda R. Experimental studies on two-dimensional defect-mode waveguides in a sonic/phononic crystal. Japanese Journal of Applied Physics, 2007, 46(7B): 4684–4687

[15]

Kushwaha M S. Stop-bands for periodic metallic rods: Sculptures that can lter the noise. Applied Physics Letters, 1997, 70(24): 3218–3220

[16]

Yang S X, Page J H, Liu Z Y, Cowan M L, Chan C T, Sheng P. Focusing of sound in a 3D phononic crystal. Physical Review Letters, 2004, 93(2): 024301

RIGHTS & PERMISSIONS

Higher Education Press and Springer-Verlag Berlin Heidelberg

AI Summary AI Mindmap
PDF (260KB)

3647

Accesses

0

Citation

Detail

Sections
Recommended

AI思维导图

/