Approximate Elastodynamic Directional-Cloak with Isotropous Homogeneous Material

Abstract:

Recently, the transformation method has been extended to control solid elastic waves in case of high frequency or small material gradient. An important device in practice, the approximate elastodynamic directional-cloak with isotropic homogeneous materials, can be designed based on this method. In this paper, this device’s design method is discussed in detail and its effect on cloaking arbitrary shaped obstacles is explored. It is also shown that this useful device cannot be designed based on the conventional transformation elastodynamics. Examples are conceived and validated by numerical simulations.

• Periodical: Advanced Materials Research (Volumes 634-638)
• Pages: 2787-2790
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.634-638.2787
• Online since: January 2013
• Authors: Xiang Yang Lu, Jin Hu
• Keywords: Cloak, Transformation Acoustics, Transformation Elastodynamics, Transformation Optics

References

[1] A. Greenleaf, M. Lassas and G. Uhlmann, Math. Res. Lett. 10, 685 (2003).

[2] U. Leonhardt, Science 312, 1777 (2006).

[3] J. B. Pendry, D. Schurig and D. R. Smith, Science 312, 1780 (2006).

[4] D. Schurig, J. J. Mock, B. J. Justice, S. A. Cummer, J. B. Pendry, A. F. Starr, D. R. Smith, Science 314, 977 (2006).

DOI: 10.1126/science.1133628

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

[6] T. Chen, C. N Weng and J. S. Chen, Appl. Phys. Lett., 93, 114103 (2008).

[7] S. Zhang, D. A. Genov, C Sun and X. Zhang, Phys. Rev. Lett., 100, 123002 (2008).

[8] G. W. Milton, M. Briane and J. R. Willis, New J. Phys. 8, 248(2006).

[9] M. Brun, S. Guenneau and A. B. Movchan, Appl. Phys. Lett. 94, 061903 (2009).

[10] F. G. Vasquez, G. W. Milton, D. O. and P. Seppecher, arXiv: 1105. 1221v1.

[11] N. Norris and A. L. Shuvalov. Wave Motion 48, 525(2011).

[12] J. Hu J, Z. Chang, and G. Hu, Phys. Rev. B 84, 201101(R) (2011).

[13] J. Hu, X. Liu and G. K. Hu, Wave Motion, doi: 10. 1016/j. wavemoti. 2012. 08. 004 (2012).

[14] J. Hu and X. Y. Lu, arXiv: 1208. 2959 (2012).

[15] Z. Chang, J. Hu, G. Hu, R. Tao and Y. Wang, Appl. Phys. Lett. 98, 121904 (2011).

[16] J. Achenbach, Wave Propagation in Elastic Solids. (North-Holland Pub. Co., Amsterdam, 1973).

[17] A. V. Amirkhizi, A. Tehranian, S. Nemat-Nasser, Wave Motion 47, 519 (2010).

DOI: 10.1016/j.wavemoti.2010.03.005