Harmonic vibrations in two-dimensional graded elastic networks: Variety of normal modes and their transitions

Physical Review B - Condensed Matter and Materials Physics

Volumn 73, Issue 22, 2006, Pages

  Xiao, J J ^a   Yakubo, K ^b   Yu, K W ^a  

^a CHINESE UNIVERSITY OF HONG KONG   (Hong Kong)

^b HOKKAIDO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33744914988     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.73.224201     Document Type: Article

References (39)

1. P. W. Anderson, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.109.1492 109, 1492 (1958).
2. Scattering and Localization of Classical Waves in Random Media, edited by, P. Sheng, (World Scientific, Singapore, 1990).
3. M. A. Kaliteevski, J. M. Martinez, D. Cassagne, and J. P. Albert, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.113101 66, 113101 (2002).
4. Y.-Y. Chen and Z. Ye, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.184301 87, 184301 (2001).
5. B. Manzanares-Martínez and F. Ramos-Mendieta, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.134303 68, 134303 (2003).
6. Waves and Imaging Through Complex Medias, edited by, P. Sebbah, (Kluwer, Dordrecht, 2001), and references therein.
7. P. Sheng, Introduction to Wave Scattering, Localization, and Mescoscopic Phenomena (Academic Press, New York, 1995).
8. C. Tian and A. Larkin, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.246601 95, 246601 (2005), and references therein.
9. A. Ishimaru, Wave Propagation and Scattering in Random Media (Oxford University Press, New York, 1997).
10. See, for example, A. Khelif, B. Djafari-Rouhani, J. O. Vasseur, and P. A. Deymier, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.68.024302 68, 024302 (2003), and references therein.
11. E. Centeno and D. Cassagne, Opt. Lett. OPLEDP 0146-9592 30, 2278 (2005), and references therein.
12. S. G. Johnson, P. Bienstman, M. A. Skorobogatiy, M. Ibanescu, E. Lidorikis, and J. D. Joannopoulos, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.066608 66, 066608 (2002).
13. V. Lousse and S. Fan, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72. 075119 72, 075119 (2005).
14. A. M. Freyria, E. Chignier, J. Guidollet, and P. Louisot, Biomaterials BIMADU 0142-9612 10.1016/0142-9612(91)90187-F 12, 111 (1991).
15. H. Karacali, S. M. Risser, and K. F. Ferris, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.56.4286 56, 4286 (1997).
16. E. Conwell, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1654906 23, 328 (1973);
17. E. Conwell, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1655270 25, 40 (1974).
18. Z. Ye, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.112472 65, 3173 (1994);
19. Z. Ye, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.360521 78, 6389 (1995).
20. S. Kuchinsky, V. Golyatin, and A. Kutikov, Proc. SPIE PSISDG 0277-786X 5000, 59 (2003);
21. B. Momeni and A. Adibi, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2115081 87, 171104 (2005).
22. L. Dong, G. Q. Gu, and K. W. Yu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.224205 67, 224205 (2003), and references therein.
23. J. P. Huang, K. W. Yu, G. Q. Gu, and M. Karttunen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.051405 67, 051405 (2003).
24. J. J. Xiao, K. Yakubo, and K. W. Yu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.054201 73, 054201 (2006).
25. A. A. Maradudin, E. W. Montroll, and G. H. Weiss, Theory of Lattice Dynamics in the Harmonic Approximation, Solid State Physics, Suppl. 3 (Academic, New York, 1963), p. 56.
26. Ill-Condensed Matter, edited by, R. Balian,,, R. Maynard,, and, G. Toulous, (North-Holland, Amsterdam, 1979).
27. F. Wegner, Z. Phys. B ZPBBDJ 0340-224X 10.1007/BF01325284 36, 209 (1980).
28. T. Nakayama, M. Takano, K. Yakubo, and T. Yamanaka, Opt. Lett. OPLEDP 0146-9592 10.1038/357326a0 17, 326 (1992).
29. H. Noro and T. Nakayama, J. Opt. Soc. Am. A JOAOD6 0740-3232 14, 1451 (1997).
30. Z. S. Popovic and S. Satpathy, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.176805 94, 176805 (2005).
31. P. J. Michalski, N. Sai, and E. J. Mele, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.116803 95, 116803 (2005).
32. J. Chadwick, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/32/22/309 32, 4087 (1999).
33. B. Cowan, Nuclear Magnetic Resonance and Relaxation (Cambridge University Press, New York, 1997).
34. P. Tong, B. Li, and B. Hu, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.8639 59, 8639 (1999).
35. A. Dhar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.5882 86, 5882 (2001).
36. A. Dhar and B. S. Shastry, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.195405 67, 195405 (2003);
37. L. W. Lee and A. Dhar, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.094302 95, 094302 (2005).
38. G. A. Narvaez, J. Kim, and J. W. Wilkins, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72.155411 72, 155411 (2005).
39. D. Bria and B. Djafari-Rouhani, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.056609 66, 056609 (2002).