Skip to main content
SpringerLink
Log in

Close Solution to Acoustic Illusion in Layered Media

  • CLASSICAL PROBLEMS OF LINEAR ACOUSTICS AND WAVE THEORY
  • Published:
Acoustical Physics Aims and scope Submit manuscript

Abstract

A close solution to acoustic illusion, caused by layered acoustical concentrator, has been investigated in-depth theoretical analysis using acoustic wave scattering theory. Based on this theory, a precise expansion for the scattered pressure field in each layer has been calculated, which by comparing this expansion with scattered field expansion of a bare cylinder, the illusion perception has been illustrated clearly. To show more clear illusion perception, an angular scattering cross section has been provided for bare and layered media. The size and constitute parameters of bare and layered media have been calculated using both transformation acoustics theory and effective medium theory. It is noteworthy that the concentration effect of layered concentrator has been introduced before, but no close solution to illusion perception has ever been provided.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1.
Fig. 2.
Fig. 3.
Fig. 4.
Fig. 5.
Fig. 6.

REFERENCES

  1. L. S. Dolin, Izv. Vyssh. Uchebn. Zaved., Radiofiz. 4, 964–967 (1961).

    Google Scholar 

  2. J. B. Pendry, D. Schurig, and D. R. Smith, Science 312 (5781), 1780 (2006).

    Article  ADS  MathSciNet  Google Scholar 

  3. U. Leonhardt, Science 312 (5781), 1777 (2006).

    Article  ADS  MathSciNet  Google Scholar 

  4. W. Cai, U. K. Chettiar, A. V. Kildishev, and V. M. Shalaev, Nat. Photon. 1 (4), 224 (2007).

    Article  ADS  Google Scholar 

  5. H. Y. Chen, C. T. Chan, and P. Sheng, Nat. Mater. 9 (5), 387 (2010).

    Article  ADS  Google Scholar 

  6. M. M. Sadeghi, S. Li, L. Xu, B. Hou, and H. Y. Chen, Sci. Rep. 5, 8680 (2015).

    Article  ADS  Google Scholar 

  7. Y. Huang, Y. Feng, and T. Jiang. Opt. Express 15 (18), 11133 (2007).

    Article  ADS  Google Scholar 

  8. M. M. Sadeghi, H. Nadgaran, and H. Y. Chen, Front. Phys. 9, 90 (2014).

    Article  ADS  Google Scholar 

  9. M. M. Sadeghi, Phys. Scr. 96 (11), 115003 (2021).

    Article  ADS  Google Scholar 

  10. S. A. Cummer, and D. Schurig, New J. Phys. 9 (3), 45 (2007).

    Article  ADS  Google Scholar 

  11. H. Chen and C. T. Chan, Appl. Phys. Lett. 91, 183518 (2007).

    Article  ADS  Google Scholar 

  12. D. Torrent and J. Sánchez-Dehesa, New J. Phys. 10 (6), 063015 (2008).

    Article  ADS  Google Scholar 

  13. H. Ma, S. Qu, Z. Xu, and J. Wang, Phys. Rev. E. 78 (3), 036608 (2008).

    Article  ADS  Google Scholar 

  14. H. Jin, X. Zhou, and G. Hu, Comput. Mater. Sci. 46 (3), 708 (2009).

    Article  Google Scholar 

  15. J. Yang, M. Huang, C. Yang, J. Peng, and J. Chang, Comput. Mater. Sci. 49 (1), 9 (2010).

    Article  Google Scholar 

  16. W. Zhu, C. Ding, and X. Zhao, Appl. Phys. Lett. 97 (13), 131902 (2010).

    Article  ADS  Google Scholar 

  17. Yu. I. Bobrovnitskii, Acoust. Phys. 50 (6), 647 (2004).

    Article  ADS  Google Scholar 

  18. D. A. B. Miller, Opt. Express 14 (25), 12457 (2006).

    Article  ADS  Google Scholar 

  19. M. Rajabi, A. Mojahed, Acta Acust. Acust. 104 (1), 5 (2018).

    Article  Google Scholar 

  20. M. Rajabi, A. Mojahed, Acta Acust. Acust. 105 (3), 419 (2019).

    Article  Google Scholar 

  21. D. Eggler and N. Kessissoglou, Sci. Rep. 10 (1), 1 (2020).

    Article  Google Scholar 

  22. J. Cheer, J. Acoust. Soc. Am. 140 (3), 1502 (2016).

    Article  ADS  Google Scholar 

  23. T. Li, M. Huang, J. Yang, Y. Li, and J. Yu, Acoust. Phys. 58 (6), 642 (2012).

    Article  ADS  Google Scholar 

  24. Y. Wang, H. Zhang, S. Zhang, L. Fan, and H. Sun, J. Acoust. Soc. Am. 131, EL150 (2012).

    Article  Google Scholar 

  25. Yu. A. Kobelev and A. V. Lebedev, Acta Acust. Acust. 95 (3), 493 (2009).

    Article  Google Scholar 

  26. C. Jo, J. Jeong, B. J. Kwon, K. C. Park, and I. K. Oh, Wave Motion 54, 157 (2015).

    Article  ADS  MathSciNet  Google Scholar 

  27. C. Gustavo Méndez, J. M. Podestá, O. Lloberas-Valls, S. Toro, A. E. Huespe, and J. Oliver, Int. J. Num. Methods Eng. 112 (10), 1353 (2017).

    Article  Google Scholar 

  28. B. Li, T. Li, J. Wu, M. Hui, G. Yuan, and Y. Zhu, Acoust. Phys. 63 (1), 45 (2017).

    Article  ADS  Google Scholar 

  29. Z. J. Wong, et al., J. Opt. 19, 084007 (2017).

    Article  ADS  Google Scholar 

  30. Yu. I. Bobrovnitskii and T. M. Tomilina, Acoust. Phys. 64 (5), 519 (2018).

    Article  ADS  Google Scholar 

  31. M. Rajabi and A. Mojahed, Acta Acust. Acust. 104 (1), 5 (2018).

    Article  Google Scholar 

  32. P. M. Morse and K. U. Ingard, Theoretical Acoustics (McGraw-Hill, New York, 1968).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Physics, Jahrom University, 74137-66171, Jahrom, Iran

    M. M. Sadeghi

Authors
  1. M. M. Sadeghi
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to M. M. Sadeghi.

Ethics declarations

The authors declare that they have no conflicts of interest.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Sadeghi, M.M. Close Solution to Acoustic Illusion in Layered Media. Acoust. Phys. 69, 1–6 (2023). https://doi.org/10.1134/S1063771022600267

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063771022600267

Keywords:

Search

Navigation