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Effective Parameters of Acoustic Metamaterials

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Russian Physics Journal Aims and scope

Analytical expressions are presented for the wave number, the characteristic wave impedance, and the refractive index of homogeneous longitudinal plane waves propagating in an acoustic metamaterial with dissipative losses. The metamaterial is characterized by the effective scalar material parameters: the complex density and the compressibility. To distinguish between the forward and backward waves, the wave type identifier is introduced.

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References

  1. R. W. Ziolkowski, EPJ Appl. Metamater., 1, 5-1–5-9 (2014).

    Article  ADS  Google Scholar 

  2. L. Fok, M. Ambati, and X. Zhang, MRS Bull., 33, No.10, 931–934 (2008).

    Article  Google Scholar 

  3. V. A. Burtov, V. B. Voloshiniov, K. V. Dmitriev, and N. V. Polikarpov, Usp. Fiz. Nauk, 181, No. 11, 1205–1211 (2011).

    Article  Google Scholar 

  4. S. Guenneau and R. V. Craster, in: Acoustic Metamaterials, R V. Craster and S. Guenneau, eds., Springer, Dordrecht (2013), pp. 1–42.

  5. M. I. Hussein, M. J. Leamy, and M. Ruzzene, Appl. Mech. Rev., 66, No. 4, 040802-1–040802-52 (2014).

    ADS  Google Scholar 

  6. G. Ma and P. Sheng, Sci. Adv., 2, No. 2, e1501595-1–e1501595-16 (2016).

    Article  ADS  MathSciNet  Google Scholar 

  7. S. A. Cummer, J. Christensen, and A. Alù, Nat. Rev. Mater., 1, No. 3, 16001-1–16001-13 (2016).

    Article  ADS  Google Scholar 

  8. M. R. Haberman and A. M. Norris, Acoust. Today, 12, No. 3, 31–39 (2016).

    Google Scholar 

  9. D. Lee, D. M. Nguyen, and J. Rho, Nano Converg., 4, No. 3, 1–15 (2017).

    Google Scholar 

  10. Z. Liu, X. Zhang, Y. Mao, et al., Science, 289, No. 5485, 1734–1736 (2000).

    Article  ADS  Google Scholar 

  11. J. Li and C. T. Chan, Phys. Rev. E, 70, No. 5, 055602-1–055602-4 (2004).

    ADS  Google Scholar 

  12. C. T. Chan, J. Li, and K. H. Fung, J. Zhejiang Univ. Sci. A, 7, No. 1, 24–28 (2006).

    Article  Google Scholar 

  13. F. I. Fedorov, Optics of Anisotropic Media [in Russian], Publishing House of the Belarusian Academy of SAciences, Minsk (1958).

  14. V. G. Veselago, Fiz. Tverd. Tela, 8, No. 12, 3571–3573 (1966).

    Google Scholar 

  15. J. Dubois, C. Aristegui, and O. Poncelet, J. Appl. Phys., 115, No. 2, 024902-1–024902-7 (2014).

    Article  ADS  Google Scholar 

  16. T. Brunet, O. Poncelet, and C. Aristegui, EPJ Appl. Metamater., 2, 3-1–3-6 (2015).

    Article  Google Scholar 

  17. L. B. Felsen and N. Marcuviz, Radiation and Scattering of Waves, Vol. I [Russian translation], Mir, Moscow (1978).

    Google Scholar 

  18. M. B. Vinogradova, O. V. Rudenko, and A. P. Sukhorukov, Theory of Waves [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  19. V. G. Veselago, Usp. Fiz. Nauk, 92, No. 3, 517–526 (1967).

    Article  Google Scholar 

  20. V. V. Fisanov, Izv. Vysh. Uchebn. Zaved. Fiz., 60, No. 12/2, 5–7 (2017).

    Google Scholar 

  21. V. Fokin, M. Ambati, C. Sun, and X. Zhang, Phys. Rev. B, 76, No. 14, 144302-1–144302-5 (2007).

    Article  ADS  Google Scholar 

  22. V. V. Fisanov, Russ. Phys. J., 57, No. 10, 1336–1341 (2015).

    Article  MathSciNet  Google Scholar 

  23. V. V. Fisanov, Izv. Vyssh. Uchebn. Zaved. Fiz., 53, No. 9/2, 38–39 (2010).

    MathSciNet  Google Scholar 

Download references

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Authors and Affiliations

  1. V. D. Kuznetsov Siberian Physical-Technical Institute at Tomsk State University, Tomsk, Russia

    V. V. Fisanov

  2. National Research Tomsk State University, Tomsk, Russia

    V. V. Fisanov

  3. Institute of Physical Material Science of the Siberian Branch of the Russian Academy of Sciences, Ulan-Ude, Russia

    V. V. Fisanov

Authors
  1. V. V. Fisanov
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Correspondence to V. V. Fisanov.

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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 6, pp. 114–118, June, 2018.

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Fisanov, V.V. Effective Parameters of Acoustic Metamaterials. Russ Phys J 61, 1129–1134 (2018). https://doi.org/10.1007/s11182-018-1506-3

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  • DOI: https://doi.org/10.1007/s11182-018-1506-3

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