1887
banner image
No data available.
Please log in to see this content.
You have no subscription access to this content.
No metrics data to plot.
The attempt to load metrics for this article has failed.
The attempt to plot a graph for these metrics has failed.
oa
Evanescent waves and deaf bands in sonic crystals
Rent:
Rent this article for
Access full text Article
/content/aip/journal/adva/1/4/10.1063/1.3675801
1.
1. E. Yablonovitch, J. Phys. Condens. Matter 5, 2443 (1993).
http://dx.doi.org/10.1088/0953-8984/5/16/004
2.
2. J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals. Molding the Flow of Light (Princeton University press, 2008).
3.
3. R. Martínez-Sala, J. Sancho, J. V. Sánchez, V. Gómez, J. Llinares, and F. Meseguer, Nature 378, 241 (1995).
http://dx.doi.org/10.1038/378241a0
4.
4. M. Sigalas, M. S. Kushwaha, E. N. Economou, M. Kafesaki, I. E. Psarobas, and W. Steurer, Z. Kristallogr. 220, 765 (2005).
http://dx.doi.org/10.1524/zkri.2005.220.9-10.765
5.
5. Y. Pennec, J. Vasseur, B. Djafari-Rouhani, L. Drobrzyski, and P. Demier, Surface Science Reports 65, 229 (2010).
http://dx.doi.org/10.1016/j.surfrep.2010.08.002
6.
6. D. Torrent, A. Hakansson, F. Cervera, and J. Sánchez-Dehesa, Phys. Rev. Lett. 96, 204302 (2006).
http://dx.doi.org/10.1103/PhysRevLett.96.204302
7.
7. V. Veselago, Sov. Phys. Usp. 10, 509 (1968).
http://dx.doi.org/10.1070/PU1968v010n04ABEH003699
8.
8. C. M. Soukoulis, M. Kafesaki, and E. N. Economou, Adv. Mater. 18, 1941 (2006).
http://dx.doi.org/10.1002/adma.200600106
9.
9. A. Sukhovich, B. Merheb, K. Muralidharan, J. Vasseur, Y. Pennec, P. Demier, and J. Page, Phys. Rev. Lett. 102, 154301 (2009).
http://dx.doi.org/10.1103/PhysRevLett.102.154301
10.
10. J. F. Robillard, J. Bucay, P. Demier, A. Shelke, K. Muralidharan, B. Merheb, J. Vasseur, A. Suckovich, and J. Page, Phys. Rev. B 83, 224301 (2011).
http://dx.doi.org/10.1103/PhysRevB.83.224301
11.
11. J. Zhu, J. Christensen, J. Jung, L. Martin-Moreno, X. Lin, L. Fok, X. Zhang, and F. J. García-Vidal, Nature Physics 7, 52 (2011).
http://dx.doi.org/10.1038/nphys1804
12.
12. S. Yang, J. H. Page, Z. Liu, M. L. Cowan, C. Chan, , and P. Sheng, Phys. Rev. Lett. 93, 024301 (2004).
http://dx.doi.org/10.1103/PhysRevLett.93.024301
13.
13. L. Feng, X. Liu, Y. Chen, Z. Huang, Y. Mao, Y. Chen, J. Zi, and Y. Zhu, Phys. Rev. B 72, 033108 (2005).
http://dx.doi.org/10.1103/PhysRevB.72.033108
14.
14. I. Pérez-Arjona, V. J. Sánchez-Morcillo, J. Redondo, V. Espinosa, and K. Staliunas, Phys. Rev. B 75, 014304 (2007).
http://dx.doi.org/10.1103/PhysRevB.75.014304
15.
15. V. Espinosa, V. J. Sánchez-Morcillo, K. Staliunas, I. Pérez-Arjona, and J. Redondo, Phys. Rev. B 76, 140302R (2007).
http://dx.doi.org/10.1103/PhysRevB.76.140302
16.
16. M. Kushwaha, P. Halevi, G. Martínez, L. Dobrzynski, and B. Djafari-Rouhani, Phys. Rev. B 49 (4), 2313 (1994).
http://dx.doi.org/10.1103/PhysRevB.49.2313
17.
17. H. Hernández-Cocoletzi, A. Krokhin, and P. Halevi, Phys. Rev. B 23, 17181 (1995).
http://dx.doi.org/10.1103/PhysRevB.51.17181
18.
18. V. Romero-García, J. Sánchez-Pérez, and L. Garcia-Raffi, J. Appl. Phys. 108, 044907 (2010).
http://dx.doi.org/10.1063/1.3466988
19.
19. V. Laude, Y. Achaoui, S. Benchabane, and A. Khelif, Phys. Rev. B 80, 092301 (2009).
http://dx.doi.org/10.1103/PhysRevB.80.092301
20.
20. V. Romero-García, J. Sánchez-Pérez, S. Castiñeira Ibáñez, and L. Garcia-Raffi, Appl. Phys. Lett. 96, 124102 (2010).
http://dx.doi.org/10.1063/1.3367739
21.
21. V. Romero-García, J. Sánchez-Pérez, and L. Garcia-Raffi, New J. Phys. 12, 083024 (2010).
http://dx.doi.org/10.1088/1367-2630/12/8/083024
22.
22. J. V. Sánchez-Pérez, D. Caballero, R. Martínez-Sala, C. Rubio, J. Sánchez-Dehesa, F. Meseguer, J. Llinares, and F. Gálvez, Phys. Rev. Lett. 80, 5325 (1998).
http://dx.doi.org/10.1103/PhysRevLett.80.5325
23.
23. F. Hsiao, A. Khelif, H. Moubchir, A. Choujaa, C. Chen, and V. Laude, J. Appl. Phys. 101, 044903 (2007).
http://dx.doi.org/10.1063/1.2472650
24.
24. W. Robertson, G. Arjavalingam, R. Meade, K. Brommer, A. Rappe, and J. Joannopoulos, Phys. Rev. Lett 68, 2023 (1992).
http://dx.doi.org/10.1103/PhysRevLett.68.2023
25.
25. T. F. Krauss, R. de la Rue, and S. Brand, Nature 383, 699 (1996).
http://dx.doi.org/10.1038/383699a0
26.
26. C. Linton and P. McIver, Handbook of Mathematical Techniques for wave/structure interactions (CRC Press, 2001).
27.
27. Y.-Y. Chen and Z. Ye, Phys. Rev. E 64, 036616 (2001).
http://dx.doi.org/10.1103/PhysRevE.64.036616
28.
28. P. Martin, Multiple Scattering. Interaction of Time-Harmonic Waves with N Obstacles (Cambridge University Press, UK, 2006).
29.
29. A. Khelif, M. Wilm, V. Laude, S. Ballandras, and B. Djafari-Rouhani, Phys. Rev. E 69, 067601 (2004).
http://dx.doi.org/10.1103/PhysRevE.69.067601
30.
30. J. O. Vasseur, P. A. Deymier, B. Djafari-Rouhani, Y. Pennec, and A.-C. Hladky-Hennion, Phys. Rev.B 77, 085415 (2008).
http://dx.doi.org/10.1103/PhysRevB.77.085415
31.
31. A. Khelif, A. Choujaa, B. Djafari-Rouhani, M. Wilm, S. Ballandras, and V. Laude, Phys. Rev. B 68, 214301 (2003).
http://dx.doi.org/10.1103/PhysRevB.68.214301
http://aip.metastore.ingenta.com/content/aip/journal/adva/1/4/10.1063/1.3675801
Loading
/content/aip/journal/adva/1/4/10.1063/1.3675801
Loading

Data & Media loading...

Loading

Article metrics loading...

/content/aip/journal/adva/1/4/10.1063/1.3675801
2011-12-23
2014-07-28

Abstract

The properties of sonic crystals (SC) are theoretically investigated in this work by solving the inverse problemk(ω) using the extended plane wave expansion (EPWE). The solution of the resulting eigenvalue problem gives the complex band structure which takes into account both the propagating and the evanescent modes. In this work we show the complete mathematical formulation of the EPWE for SC and the supercell approximation for its use in both a complete SC and a SC with defects. As an example we show a novel interpretation of the deaf bands in a complete SC in good agreement with multiple scattering simulations.

Loading

Full text loading...

/deliver/fulltext/aip/journal/adva/1/4/1.3675801.html;jsessionid=3htmge44eedm4.x-aip-live-02?itemId=/content/aip/journal/adva/1/4/10.1063/1.3675801&mimeType=html&fmt=ahah&containerItemId=content/aip/journal/adva
true
true
This is a required field
Please enter a valid email address
This feature is disabled while Scitation upgrades its access control system.
This feature is disabled while Scitation upgrades its access control system.
752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Evanescent waves and deaf bands in sonic crystals
http://aip.metastore.ingenta.com/content/aip/journal/adva/1/4/10.1063/1.3675801
10.1063/1.3675801
SEARCH_EXPAND_ITEM