用户名: 密码: 验证码:
Models and general wave properties of two-dimensional acoustic metamaterials and media
详细信息    查看全文
  • 作者:Yu. I. Bobrovnitskii
  • 关键词:acoustic metamaterials ; periodic structures ; normal waves ; dispersion ; effective parameters ; classification of acoustic media ; hyperbolic media
  • 刊名:Acoustical Physics
  • 出版年:2015
  • 出版时间:May 2015
  • 年:2015
  • 卷:61
  • 期:3
  • 页码:255-264
  • 全文大小:895 KB
  • 参考文献:1. Acoustic Metamaterials: Negative Refraction, Imaging, Lensing and Cloaking, Ed. by R.V. Craster and S. Guenneau, (Springer-Verlag, Dordrecht, 2013).
    2. Acoustic Metamaterials and phononic crystals, Ed. by P.A. Deymier, (Springer-Verlag, Berlin, 2013).
    3.Special Issue on Acoustic Metamaterials, J. Acoust. Soc. Am. 132, 2783 (2012).
    4.Yu. I. Bobrovnitskii, Acoust. Phys. 60, 134 (2014).ADS
    5.Yu. I. Bobrovnitskii, M. D. Genkin, V. P. Maslov, and A. V. Rimskii-Korsakov, Propagation of Waves in Constructions from Thin Rods and Plates, (Nauka, Moscow, 1974) [in Russian].
    6.G. W. Milton and A. V. Cherkaev, ASME J. Eng. Mater. Technol. 117, 483 (1995).
    7.A. N. Norris, J. Acoust. Soc. Am. 125, 839 (2009).ADS
    8.N. S. Bakhvalov and G. P. Panasenko, Homogeneisation of Processes in Periodic Structures, (Gl. Red. Fiz.-Mat. Lit., Moscow, 1984) [in Russian].
    9.B. A. Schrefler, D. P. Boso, F. Pesavento, D. Gavin, and M. Lefik, Comp. Assist. Mechan. Eng. Sci. 18, 91 (2011).
    10. Handbook of Micromechanics and Nanomechanics, Ed. by S. Li and X.-L. Gao, (Pan Stanford, Singapore, 2013).
    11.L. Brillouin and M. Parodi, Wave Propagation in Periodic Structures, (Dover, New York, 1953; InLit, Moscow, 1959) [in Russian].MATH
    12.F. R. Gantmakher, Theory of Matrices (Chelsea, NY, 1960; Nauka, Moscow, 1954, [In Russian]).
    13.G. W. Milton and P. Seppecher, Proc. Royal Soc., Lond., A 464, 967 (2008).ADS MATH MathSciNet
    14.Yu. I. Bobrovnitskii, Acoust. Phys. 59, 3 (2013).ADS
    15.R. K. Fisher and R. W. Gould, Phys. Rev. Lett. 22, 1093 (1969).ADS
    16.D. R. Smith and D. Schurig, Phys. Rev. Lett. 90, 077405 (2003).ADS
    17.A. Poddubny, I. Iorsh, P. Belov, and Y. Kivshar, Nature Photonics 7, 948 (2013).View Article ADS
    18.Y. Guo, W. Newman, C. L. Cortes, and Z. Jacob, Advances in Optoelectron. 2012, 452502 (2012).
    19.A. V. Chshelokova, P. V. Kapitanova, A. Poddubny, D. S. Filonov, A. P. Slobozhanyuk, Y. S. Kivshar, and P. A. Belov, J. Appl. Phys. 112, 073116 (2012).ADS
    20.V. M. Garcia-Chocano, J. Christensen, and J. Sanchez-Dehesa, Phys. Rev. Lett. 112, 144301 (2014).ADS
    21.A. V. Vashkovskii and E. G. Lokk, Phys.-Usp. 54, 281 (2011).ADS
    22.A. E. H. Love, A Treatise on the Mathematical Theory of Elasticity, (Cambridge Univ., Cambridge, 1927; NKTP SSSR, Moscow, 1935).MATH
  • 作者单位:Yu. I. Bobrovnitskii (1)

    1. Blagonravov Mechanical Engineering Research Institute, Russian Academy of Sciences, Malyi Kharitonovskii per. 4, Moscow, 101990, Russia
  • 刊物类别:Physics and Astronomy
  • 刊物主题:Physics
    Acoustics
    Russian Library of Science
  • 出版者:MAIK Nauka/Interperiodica distributed exclusively by Springer Science+Business Media LLC.
  • ISSN:1562-6865
文摘
For two-dimensional linear acoustic metamaterials and media represented in the form of periodic structures made of complex cells, a general model is proposed, formulas are derived for the effective parameters and energy characteristics, and the restrictions imposed on such media are formulated. They are divided into four main types, differing in general wave properties; the differentiating features of each type are shown. Several new schemes of negative and hyperbolic types of discrete and continuous metamaterials are presented, for which the dispersion dependences are constructed and the corresponding “wave-equations are written.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700