Flat lens for pulse focusing of elastic waves in thin plates

Applied Physics Letters

Volumn 103, Issue 7, 2013, Pages

  Dubois, M ^a   Farhat, M ^b,c   Bossy, E ^a   Enoch, S ^b   Guenneau, S ^b   Sebbah, P ^a  

^a CNRS   (France)

^b AIX MARSEILLE UNIVERSITÉ   (France)

^c FRIEDRICH SCHILLER UNIVERSITY JENA   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

CIRCULAR AIR-HOLES; DIFFRACTION LIMITED; DIFFRACTION LIMITS; FINITE DIFFERENCE TIME DOMAIN SIMULATIONS; LATERAL RESOLUTION; LEFT HANDED MATERIALS; NEGATIVE REFRACTIONS; RELATIVE THICKNESS;

DIFFRACTION; FOCUSING; LIGHT REFRACTION; REFRACTION;

ELASTIC WAVES;

EID: 84882400773     PISSN: 00036951     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4818716     Document Type: Article

References (41)

1. V. G. Veselago, Sov. Phys. Usp. 10 (4), 509-514 (1968). 10.1070/PU1968v010n04ABEH003699
2. J. B. Pendry, Phys. Rev. Lett. 85, 3966 (2000). 10.1103/PhysRevLett.85. 3966
3. D. R. Smith, W. J. Padilla, V. C. Vier, S. C. Nemat-Nasser, and S. Schultz, Phys. Rev. Lett. 84, 4184 (2000). 10.1103/PhysRevLett.84.4184
4. S. A. Ramakrishna, Rep. Prog. Phys. 68, 449 (2005). 10.1088/0034-4885/68/ 2/R06
5. Z. Liu, X. Zhang, Y. Mao, Y. Y. Zhu, Z. Yang, C. T. Chan, and P. Sheng, Science 289, 1734 (2000); 10.1126/science.289.5485.1734
6. P. Sheng, Physica B 394, 256-261 (2007). 10.1016/j.physb.2006.12.046
7. A. B. Movchan and S. Guenneau, Phys. Rev. B 70, 125116 (2004). 10.1103/PhysRevB.70.125116
8. S. Guenneau, A. B. Movchan, S. A. Ramakrishna, and G. Petursson, New J. Phys. 9, 399 (2007). 10.1088/1367-2630/9/11/399
9. J. Li and C. T. Chan, Phys. Rev. E 70, 055602 (2004). 10.1103/PhysRevE.70.055602
10. N. Fang, D. Xi, J. Xu, M. Ambati, W. Srituravanich, C. Sun, and X. Zhang, Nature Mater. 5, 452 (2006); 10.1038/nmat1644
11. S. Zang, L. Yin, and N. Fang, Phys. Rev. Lett. 102, 194301 (2009). 10.1103/PhysRevLett.102.194301
12. M. S. Kushwaha, P. Halevi, L. Dobrzynski, and B. Djafari-Rouhani, Phys. Rev. Lett. 71, 2022 (1993). 10.1103/PhysRevLett.71.2022
13. X. Hu, Y. Shen, X. Liu, R. Fu, and J. Zi, Phys. Rev. E 69, 030201 R (2004). 10.1103/PhysRevE.69.030201
14. M. Ke, Z. Liu, C. Qiu, W. Wang, J. Shi, W. Wen, and P. Sheng, Phys. Rev. B 72, 064306 (2005). 10.1103/PhysRevB.72.064306
15. L. Feng, X.-P. Liu, M.-H. Lu, Y.-B. Chen, Y.-F. Chen, Y.-W. Mao, J. Zi, Y.-Y. Zhu, S.-N. Zhu, and N.-B. Ming, Phys. Rev. Lett. 96, 014301 (2006). 10.1103/PhysRevLett.96.014301
16. M. Ke, Z. Li, Z. Cheng, J. Li, P. Peng, and J. Shi, Solid State Commun. 142, 177 (2007). 10.1016/j.ssc.2007.01.046
17. A. Sukhovich, L. Jing, and J. H. Page, Phys. Rev. B 77, 014301 (2008). 10.1103/PhysRevB.77.014301
18. A. Sukhovich, B. Merheb, K. Muralidharan, J. O. Vasseur, Y. Pennec, P. A. Deymier, and J. H. Page, Phys. Rev. Lett. 102, 154301 (2009). 10.1103/PhysRevLett.102.154301
19. J. Christensen and F. J. G. de Abajo, Phys. Rev. Lett. 108, 124301 (2012). 10.1103/PhysRevLett.108.124301
20. G. W. Milton, M. Briane, and J. R. Willis, New J. Phys. 8, 248 (2006). 10.1088/1367-2630/8/10/248
21. U. Leonhardt and T. G. Philbin, New J. Phys. 8, 247 (2006). 10.1088/1367-2630/8/10/247
22. M. Farhat, S. Guenneau, S. Enoch, A. B. Movchan, and G. Petursson, Appl. Phys. Lett. 96, 081909 (2010). 10.1063/1.3327813
23. S. Timoshenko, Theory of Plates and Shells (McGraw-Hill, New York, 1940).
24. K. F. Graff, Wave Motion in Elastic Solids (Dover, New York, 1975).
25. C. H. Wang and L. R. F. Rose, in Review of QNDE, edited by, D. O. Thompson, and, D. E. Chimenti, (AIP, New York, 2003), Vol. 22, pp. 1615-1622.
26. P. Fromme, P. D. Wilcox, M. J. S. Lowe, and P. Cawley, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 53 (4), 777-786 (2006).
27. A. B. Movchan, N. V. Movchan, and R. C. McPhedran, Proc. R. Soc. London, Ser. A 463, 2505 (2007). 10.1098/rspa.2007.1886
28. N. Stenger, M. Wilhelm, and M. Wegener, Phys. Rev. Lett. 108, 014301 (2012); 10.1103/PhysRevLett.108.014301
29. R. McPhedran and A. Movchan, Physics 5, 2 (2012). 10.1103/Physics.5.2
30. M. Brun, S. Guenneau, and A. B. Movchan, Appl. Phys. Lett. 94, 061903 (2009). 10.1063/1.3068491
31. M. Farhat, S. Guenneau, S. Enoch, and A. B. Movchan, Phys. Rev. B 79, 033102 (2009). 10.1103/PhysRevB.79.033102
32. S. Bramhavar, C. Prada, A. A. Maznev, A. G. Every, T. B. Norris, and T. W. Murray, Phys. Rev. B 83, 014106 (2011). 10.1103/PhysRevB.83.014106
33. J. Pierre, O. Boyko, L. Belliard, J. O. Vasseur, and B. Bonello, Appl. Phys. Lett. 97, 121919 (2010). 10.1063/1.3491290
34. C. Luo, S. G. Johnson, J. D. Joannopoulos, and J. B. Pendry, Phys. Rev. B 65, 201104 (2002). 10.1103/PhysRevB.65.201104
35. See supplementary material at http://dx.doi.org/10.1063/1.4818716 E-APPLAB-103-097333 for a sketch of the LANR, a description of the analytical model and a movie of the time evolution of the acoustic velocity.
36. J. Virieux, Geophysics 51, 889-901 (1986). 10.1190/1.1442147
37. E. Bossy, M. Talmant, and P. Laugier, J. Acoust. Soc. Am. 115, 2314-2324 (2004). 10.1121/1.1689960
38. R. W. Graves, Bull. Seismol. Soc. Am. 86, 1091 (1996).
39. M. A. Al-Lethawe, M. Addouche, A. Khelif, and S. Guenneau, New J. Phys. 14, 123030 (2012). 10.1088/1367-2630/14/12/123030
40. R. Merlin, Appl. Phys. Lett. 84, 1290 (2004). 10.1063/1.1650548
41. G. W. Milton, N. A. P. Nicorovici, R. C. McPhedran, and V. A. Podolskiy, Proc. R. Soc. London, Ser. A 461, 3999 (2005). 10.1098/rspa.2005.1570