Wavelet-based method for calculating elastic band gaps of two-dimensional phononic crystals

Physical Review B - Condensed Matter and Materials Physics

Volumn 74, Issue 22, 2006, Pages

  Yan, Zhi Zhong ^a   Wang, Yue Sheng ^a  

^a BEIJING JIAOTONG UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33845776228     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.74.224303     Document Type: Article

References (47)

1. E. Yablonovitch and T. J. Gmitter, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58.2059 58, 2059 (1987).
2. J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic crystals (Princeton University Press, Princeton, New Jersey, 1995).
3. M. M. Sigalas and E. N. Economou, Solid State Commun. SSCOA4 0038-1098 10.1016/0038-1098(93)90888-T 86, 141 (1993).
4. M. S. Kushwaha, P. Halevi, L. Dobrzynski, and B. Djafari-Rouhani, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.71.2022 71, 2022 (1993).
5. M. S. Kushwaha and B. Djafari-Rouhani, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.368710 84, 4677 (1998).
6. P. Lambin, A. Khelif, J. O. Vasseur, L. Dobrzynski, B. Djafari-Rouhani, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.066605 63, 066605 (2001).
7. M. Torres, F. R. Montero de Espinosa, D. Garcia-Pablos, and N. Garcia, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.82.3054 82, 3054 (1999).
8. Z. Liu, C. T. Chan, P. Sheng, A. L. Goertzen, and J. H. Page, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.278 62, 278 (2000).
9. F. R. Montero de Espinosa, E. Jimenez, and M. Torres, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.1208 80, 1208 (1998).
10. W. M. Robertson and J. F. Rudy III, J. Acoust. Soc. Am. JASMAN 0001-4966 10.1121/1.423344 104, 694 (1998).
11. Z. Liu, X. Zhang, Y. Mao, Y. Y. Zhu, Z. Yang, C. T. Chan, and Ping Sheng, Science SCIEAS 0036-8075 10.1126/science.289.5485.1734 289, 1734 (2000).
12. C. Goffaux and J. Sanchez-Dehesa, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.67.144301 67, 144301 (2003).
13. Z. Liu, C. T. Chan, and P. Cheng, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.65.165116 65, 165116 (2002).
14. F. Cervera, L. Sanchis, J. V. Sanchez-Perez, R. Martinez-Sala, C. Rubio, F. Meseguer, C. Lopez, D. Caballero, and J. Sanchez-Dehesa, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.023902 88, 023902 (2002).
15. F. R. Montero de Espinosa, E. Jimenez, and M. Torres, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.1208 80, 1208 (1998).
16. M. Torres, F. R. Montero de Espinosa, and J. L. Aragon, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.4282 86, 4282 (2001).
17. J. O. Vasseur, P. A. Deymier, G. Frantziskonis, G. Hong, B. Djafari-Rouhani, and L. Dobrzynski, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/10/27/006 10, 6051 (1998).
18. J. O. Vasseur, P. A. Deymier, G. Frantziskonis, B. Chenni, B. Djafari-Rouhani, L. Dobrzynski, and D. Prevost, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.3012 86, 3012 (2001).
19. For a review of this method see M. S. Kushwaha, Recent Res. Dev. Appl. Phys. RDAPFM 2, 743 (1999).
20. M. Kafesaki, R. S. Penciu, and E. N. Economou, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.84.6050 84, 6050 (2000).
21. M. Kafesaki and E. N. Economou, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.11993 60, 11993 (1999).
22. Z. Liu, C. T. Chan, P. Sheng, A. L. Goertzen, and J. H. Page, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.2446 62, 2446 (2000).
23. Y. Y. Chen and Z. Ye, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64. 036616 64, 036616 (2001);
24. Y. Y. Chen and Z. Ye, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.184301 87, 184301 (2001).
25. I. E. Psarobas, N. Stefanou, and A. Modinos, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.278 62, 278 (2000).
26. R. Sainidou, N. Stefanou, and A. Modinos, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.064301 69, 064301 (2004).
27. M. Sigalas and N. Garcia, J. Appl. Phys. JAPIAU 0021-8979 10.1063/1.372308 87, 3122 (2000).
28. Y. Tanaka, Y. Tomoyasu, and S. I. Tamura, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.7387 62, 7387 (2000).
29. G. Wang, J. H. Wen, X. Y. Han, and H. G. Zhao, Acta Phys. Sin. WLHPAR 1000-3290 52, 1943 (2003).
30. G. Wang, J. Wen, Y. Liu, and X. Wen, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.184302 69, 184302 (2004).
31. W. Axmann and P. Kuchment, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.1999.6188 150, 468-481 (1999).
32. S. Zhang, J. Hua, Chin. Phys. Lett. CPLEEU 0256-307X 20, 1303 (2003).
33. D. C. Dobson, J. Comput. Phys. JCTPAH 0021-9991 10.1006/jcph.1998.6157 149, 363 (1999).
34. I. Daubechies I., 1992, Ten Lectures on Wavelets, CBMS-NSF Series in Applied Mathematics, 61 (SIAM, Philadelphia, PA).
35. C. Albukrek, K. Urban, D. Rempfer, and J. Lumley, J. Sci. Comput. JSCOEB 0885-7474 21 (1), 49 (2002).
36. G. Beylkin and N. Coult, Appl. Comput. Harmon. Anal. ACOHE9 1063-5203 129, 5 (1998).
37. X. Checoury and J. M. Lourtioz, Opt. Commun. OPCOB8 0030-4018 259, 360 (2006).
38. W. Dahmen, Acta Numerica ZZZZZZ 0962-4929 55, 6 (1997).
39. S. Bertoluzza, C. Canuto, and K. Urban, Appl. Numer. Math. ANMAEL 0168-9274 10.1016/S0168-9274(99)00028-8 34, 13 (2000).
40. S. W. David, Fundamentals of Matrix Computations (John Wiley & Sons, Inc., New York, 2002).
41. A. Cohen and R. Masson, SIAM J. Sci. Comput. (USA) SJOCE3 1064-8275 10.1137/S1064827597330613 21, 1006 (1999).
42. J. O. Vasseur, P. A. Deymier, A. Khelif, Ph. Lambin, B. Djafari-Rouhani, A. Akjouj, L. Dobrzynski, N. Fettouhi, and J. Zemmouri, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.056608 65, 056608 (2002).
43. C. Goffaux and J. P. Vigneron, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.64.075118 64, 075118 (2001).
44. J. Mei, Master's thesis, Wuhan University, China, 2005.
45. L. Z. Cheng, H. X. Wang, and Y. Luo, The Theory and Application of Wavelet (The Science Press, Beijing, 2005) (in Chinese).
46. T. T. Wu, Z. G. Huang, and S. Lin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.094301 69, 094301 (2004).
47. V. Laude, M. Wilm, S. Benchabane, and A. Khelif Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.036607 71, 036607 (2005).