A layer-multiple-scattering method for phononic crystals and heterostructures of such

Computer Physics Communications

Volumn 166, Issue 3, 2005, Pages 197-240

  Sainidou, R ^a,b   Stefanou, N ^a   Psarobas, I E ^a   Modinos, A ^b  

^a UNIVERSITY OF ATHENS   (Greece)

^b NATIONAL TECHNICAL UNIVERSITY OF ATHENS   (Greece)

Author keywords

Complex band structure; Elastic waves; Multiple scattering; Phononic crystals; Transmission and reflection coefficients

Indexed keywords

BAND STRUCTURE; COMPUTER PROGRAMMING; ELASTIC WAVES; ENERGY DISSIPATION; MULTILAYERS; PHONONS; SCATTERING; VECTORS;

ELASTIC COEFFICIENTS; HOMOGENEOUS PLATES; LAYER-MULTIPLE-SCATTERING; PHONONIC CRYSTALS;

CRYSTALLINE MATERIALS;

EID: 14044250736     PISSN: 00104655     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cpc.2004.11.004     Document Type: Article

References (52)

1. M.S. Kushwaha Int. J. Mod. Phys. B 10 1996 977
2. F. Cervera, L. Sanchis, J.V. Sánchez-Pérez, R. Mártinez-Sala, C. Rubio, F. Meseguer, C. López, D. Caballero, and J. Sánchez-Dehesa Phys. Rev. Lett. 88 2002 023902
3. N. García, M. Nieto-Vesperinas, E.V. Ponizovskaya, and M. Torres Phys. Rev. E 67 2003 046606
4. B.C. Gupta, and Z. Ye Phys. Rev. E 67 2003 036603
5. I.E. Psarobas, N. Stefanou, and A. Modinos Phys. Rev. B 62 2000 5536
6. D. Caballero, J. Sánchez-Dehesa, R. Mártinez-Sala, C. Rubio, J.V. Sánchez-Pérez, L. Sanchis, and F. Meseguer Phys. Rev. B 64 2001 064303
7. F. Wu, H. Zhong, S. Zhong, Z. Liu, and Y. Liu Eur. Phys. J. B 34 2003 245
8. J.N. Munday, C. Brad Bennett, and W.M. Robertson J. Acoust. Soc. Am. 112 2002 1353
9. M. Kafesaki, M.M. Sigalas, and N. García Phys. Rev. Lett. 85 2000 4044
10. M. Torres, F.R. Montero de Espinosa, and J.L. Aragón Phys. Rev. Lett. 86 2001 4282
11. A. Khelif, B. Djafari-Rouhani, J.O. Vasseur, P.A. Deymier, Ph. Lambin, and L. Dobrzynski Phys. Rev. B 65 2002 174308
12. A. Khelif, P.A. Deymier, B. Djafari-Rouhani, J.O. Vasseur, and L. Dobrzynski J. Appl. Phys. 94 2003 1308
13. M. Kafesaki, R.S. Penciu, and E.N. Economou Phys. Rev. Lett. 84 2000 6050
14. Z. Ye, and A. Alvarez Phys. Rev. Lett. 80 1998 3503
15. E. Hoskinson, and Z. Ye Phys. Rev. Lett. 83 1999 2794
16. Y.Y. Chen, and Z. Ye Phys. Rev. Lett. 87 2001 184301
17. M.M. Sigalas, and E.N. Economou J. Sound Vib. 158 1992 377
18. M.M. Sigalas, and E.N. Economou Solid State Commun. 86 1993 141
19. M.S. Kushwaha, P. Halevi, L. Dobrzynski, and B. Djafari-Rouhani Phys. Rev. Lett. 71 1993 2022
20. M.S. Kushwaha, P. Halevi, G. Martínez, L. Dobrzynski, and B. Djafari-Rouhani Phys. Rev. B 49 1994 2313
21. F. Wu, Z. Hou, Z. Liu, and Y. Liu Phys. Lett. A 292 2001 198
22. B. Manzanares-Martínez, and F. Ramos-Mendieta Phys. Rev. B 68 2003 134303
23. M. Kafesaki, and E.N. Economou Phys. Rev. B 60 1999 11993
24. J. Mei, Z. Liu, J. Shi, and D. Tian Phys. Rev. B 67 2003 245107
25. D. García-Pablos, M. Sigalas, F.R. Montero de Espinosa, M. Torres, M. Kafesaki, and N. García Phys. Rev. Lett. 84 2000 4349
26. Y. Tanaka, Y. Tomoyasu, and S. Tamura Phys. Rev. B 62 2000 7387
27. J.O. Vasseur, P.A. Deymier, B. Chenni, B. Djafari-Rouhani, L. Dobrzynski, and D. Prevost Phys. Rev. Lett. 86 2001 3012
28. M.M. Sigalas, and N. García J. Appl. Phys. 87 2000 3122
29. I.E. Psarobas, N. Stefanou, and A. Modinos Phys. Rev. B 62 2000 278
30. Z. Liu, C.T. Chan, P. Sheng, A.L. Goertzen, and J.H. Page Phys. Rev. B 62 2000 2446
31. K. Maslov, V.K. Kinra, and B.K. Henderson Mech. Materials 32 2000 175
32. B.K. Henderson, K.I. Maslov, and V.K. Kinra J. Mech. Phys. Solids 49 2001 2369
33. R. Sainidou, N. Stefanou, and A. Modinos Phys. Rev. B 66 2002 024303
34. Z. Liu, X. Zhang, Y. Mao, Y.Y. Zhu, Z. Yang, C.T. Chan, and P. Sheng Science 289 2000 1734
35. Z. Liu, C.T. Chan, and P. Sheng Phys. Rev. B 65 2002 165116
36. S. Yang, J.H. Page, Z. Liu, M.L. Cowan, C.T. Chan, and P. Sheng Phys. Rev. Lett. 88 2002 104301
37. S. Yang, J.H. Page, Z. Liu, M.L. Cowan, C.T. Chan, and P. Sheng Phys. Rev. Lett. 93 2004 024301
38. X. Zhang, Z. Liu, Y. Liu, and F. Wu Phys. Lett. A 313 2003 455
39. D.O. Riese, and G.H. Wegdam Phys. Rev. Lett. 82 1999 1676
40. R.S. Penciu, H. Kriegs, G. Petekidis, G. Fytas, and E.N. Economou J. Chem. Phys. 118 2003 5224
41. L.D. Landau, and E.M. Lifshitz Theory of Elasticity third ed. 1986 Butterworth-Heinemann Ltd. Oxford
42. D. Brill, and G. Gaunaurd J. Acoust. Soc. Am. 81 1987 1
43. W.C. Chew Waves and Fields in Inhomogeneous Media 1990 Van Nostrant Reinhold New York
44. M. Abramowitz, and I. Stegun Handbook of Mathematical Functions 1965 Dover New York
45. E. Anderson, Z. Bai, C. Bischof, S. Blackford, J. Demmel, J. Dongarra, J. Du Croz, A. Greenbaum, S. Hammarling, A. McKenney, and D. Sorensen LAPACK User's Guide third ed. 1999 SIAM Publications Philadelphia
46. Information concerning LAPACK can be found at URL http://www.netlib.org/lapack/index.html
47. Y.L. Luke Algorithms for the Computation of Mathematical Functions 1977 Academic Press London
48. J.B. Pendry Low Energy Electron Diffraction 1974 Academic Press London
49. B.A. Auld Acoustic Fields and Waves in Solids vol. I 1973 John Wiley & Sons Inc. New York
50. In the distributed version of the program the elastic coefficients of the different media are constants independent of frequency. They can be made functions of frequency by a trivial extension
51. K. Kambe Z. Naturforsh. 22a 1967 322
52. J.F. Cornwell Group Theory and Electronic Energy Bands in Solids 1969 North-Holland Publishing Company Amsterdam