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Chin. Phys. B, 2013, Vol. 22(7): 074302    DOI: 10.1088/1674-1056/22/7/074302
ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS Prev   Next  

Oblique incidence properties of locally resonant sonic materials with resonance and Bragg scattering effects

Yuan Bo (袁博), Wen Ji-Hong (温激鸿), Wen Xi-Sen (温熙森)
Vibration and Acoustics Research Group, Laboratory of Science and Technology on Integrated Logistics Support,National University of Defense Technology, Changsha, 410073, China; MOE Key Laboratory of Photonic and Phononic Crystals, National University of Defense Technology, Changsha, 410073, China
Abstract  A locally resonant sonic material (LRSM) is an elastic matrix containing a periodic arrangement of identical local resonators (LRs), which can reflect strongly near their natural frequencies, where the wavelength in the matrix is still much larger than the structural periodicity. Due to the periodic arrangement, an LRSM can also display a Bragg scattering effect, which is a characteristic of phononic crystals. A specific LRSM which possesses both local resonance and Bragg scattering effects is presented. Via the layered-multiple-scattering theory, the complex band structure and the transmittance of such LRSM are discussed in detail. Through the analysis of the refraction behavior at the boundary of the composite, we find that the transmittance performance of an LRSM for oblique incidence depends on the refraction of its boundary and the transmission behaviors of different wave modes inside the composite. As a result, it is better to use some low-speed materials (compared with the speed of waves in surrounding medium) as the matrix of LRSM for designing sound blocking materials in underwater applications, since their acoustic properties are more robust to the incident angle. Finally, a gap-coupled LRSM with a broad sub-wavelength transmission gap is studied, whose acoustic performance is insensitive to the angle of incidence.
Keywords:  underwater acoustic materials      oblique incidence      locally resonant sonic materials      Bragg scattering  
Received:  21 September 2012      Revised:  30 October 2012      Accepted manuscript online: 
PACS:  43.35.+d (Ultrasonics, quantum acoustics, and physical effects of sound)  
  43.30.+m (Underwater sound)  
  43.20.+g (General linear acoustics)  
  43.40.+s (Structural acoustics and vibration)  
Corresponding Authors:  Wen Xi-Sen     E-mail:  wenxs@vip.sina.com

Cite this article: 

Yuan Bo (袁博), Wen Ji-Hong (温激鸿), Wen Xi-Sen (温熙森) Oblique incidence properties of locally resonant sonic materials with resonance and Bragg scattering effects 2013 Chin. Phys. B 22 074302

[1] Liu Z, Zhang X, Mao Y, Zhu Y, Yang Z, Chan C and Sheng P 2000 Science 289 1734
[2] Goffaux C, Sánchez-Dehesa J and Lambin P 2004 Phys. Rev. B 70 184302
[3] Wang G, Wen X, Wen J, Shao L and Liu Y 2004 Phys. Rev. Lett. 93 154302
[4] Hirsekorn M 2004 Appl. Phys. Lett. 84 3364
[5] Liu Z, Chan C T and Sheng P 2005 Phys. Rev. B 71 014103
[6] Hirsekorn M, Delsanto P, Leung A and Matic P 2006 J. Appl. Phys. 99 124912
[7] Yu D L, Wang G, Liu Y Z, Wen J H and Qiu J 2006 Chin. Phys. 15 266
[8] Liu Z, Yang S and Zhao X 2005 Chin. Phys. Lett. 22 3107
[9] Zhao H, Wen J, Liu Y, Yu D, Wang G and Wen X 2008 Chin. Phys. B 17 1305
[10] Wen J, Yu D, Liu J, Xiao Y and Wen X 2009 Chin. Phys. B 18 2404
[11] Qin B, Chen J and Cheng J 2005 Chin. Phys. 14 2522
[12] Wang G, Liu Y Z, Wen J H and Yu D L 2006 Chin. Phys. 15 407
[13] Wang G, Shao L H, Liu Y Z and Wen J H 2006 Chin. Phys. 15 1843
[14] Zhao H, Liu Y, Wen J, Yu D, Wang G and Wen X 2006 Chin. Phys. Lett. 23 2132
[15] Zhao H, Liu Y, Wen J, Yu D and Wen X 2007 Phys. Lett. A 367 224
[16] Wen J, Zhao H, Lü L, Yuan B, Wang G and Wen X 2011 J. Acoust. Soc. Am. 130 1201
[17] Jiang H, Wang Y, Zhang M, Hu Y, Lan D, Wu Q and Lu H 2010 Chin. Phys. B 19 026202
[18] Larabi H, Pennec Y, Djafari-Rouhani B and Vasseur J 2007 Phys. Rev. E 75 066601
[19] Kuang W, Hou Z, Liu Y and Li H 2006 J. Phys. D: Appl. Phys. 39 2067
[20] Sainidou R, Djafari-Rouhani B, Pennec Y and Vasseur J 2006 Phys. Rev. B 73 024302
[21] Sainidou R, Stefanou N, Psarobas I and Modinos A 2005 Comp. Phys. Comm. 166 197
[22] Ao X and Chan C T 2009 Phys. Rev. B 80 235118
[23] James R, Woodley S, Dyer C and Humphrey V 1995 J. Acoust. Soc. Am. 97 2041
[24] Brekhovskikh L M 1980 Waves in Layered Media (2nd edn.) (New York: Academic Press) pp. 43-46
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