Vol. 41
Latest Volume
All Volumes
PIER 176 [2023] PIER 175 [2022] PIER 174 [2022] PIER 173 [2022] PIER 172 [2021] PIER 171 [2021] PIER 170 [2021] PIER 169 [2020] PIER 168 [2020] PIER 167 [2020] PIER 166 [2019] PIER 165 [2019] PIER 164 [2019] PIER 163 [2018] PIER 162 [2018] PIER 161 [2018] PIER 160 [2017] PIER 159 [2017] PIER 158 [2017] PIER 157 [2016] PIER 156 [2016] PIER 155 [2016] PIER 154 [2015] PIER 153 [2015] PIER 152 [2015] PIER 151 [2015] PIER 150 [2015] PIER 149 [2014] PIER 148 [2014] PIER 147 [2014] PIER 146 [2014] PIER 145 [2014] PIER 144 [2014] PIER 143 [2013] PIER 142 [2013] PIER 141 [2013] PIER 140 [2013] PIER 139 [2013] PIER 138 [2013] PIER 137 [2013] PIER 136 [2013] PIER 135 [2013] PIER 134 [2013] PIER 133 [2013] PIER 132 [2012] PIER 131 [2012] PIER 130 [2012] PIER 129 [2012] PIER 128 [2012] PIER 127 [2012] PIER 126 [2012] PIER 125 [2012] PIER 124 [2012] PIER 123 [2012] PIER 122 [2012] PIER 121 [2011] PIER 120 [2011] PIER 119 [2011] PIER 118 [2011] PIER 117 [2011] PIER 116 [2011] PIER 115 [2011] PIER 114 [2011] PIER 113 [2011] PIER 112 [2011] PIER 111 [2011] PIER 110 [2010] PIER 109 [2010] PIER 108 [2010] PIER 107 [2010] PIER 106 [2010] PIER 105 [2010] PIER 104 [2010] PIER 103 [2010] PIER 102 [2010] PIER 101 [2010] PIER 100 [2010] PIER 99 [2009] PIER 98 [2009] PIER 97 [2009] PIER 96 [2009] PIER 95 [2009] PIER 94 [2009] PIER 93 [2009] PIER 92 [2009] PIER 91 [2009] PIER 90 [2009] PIER 89 [2009] PIER 88 [2008] PIER 87 [2008] PIER 86 [2008] PIER 85 [2008] PIER 84 [2008] PIER 83 [2008] PIER 82 [2008] PIER 81 [2008] PIER 80 [2008] PIER 79 [2008] PIER 78 [2008] PIER 77 [2007] PIER 76 [2007] PIER 75 [2007] PIER 74 [2007] PIER 73 [2007] PIER 72 [2007] PIER 71 [2007] PIER 70 [2007] PIER 69 [2007] PIER 68 [2007] PIER 67 [2007] PIER 66 [2006] PIER 65 [2006] PIER 64 [2006] PIER 63 [2006] PIER 62 [2006] PIER 61 [2006] PIER 60 [2006] PIER 59 [2006] PIER 58 [2006] PIER 57 [2006] PIER 56 [2006] PIER 55 [2005] PIER 54 [2005] PIER 53 [2005] PIER 52 [2005] PIER 51 [2005] PIER 50 [2005] PIER 49 [2004] PIER 48 [2004] PIER 47 [2004] PIER 46 [2004] PIER 45 [2004] PIER 44 [2004] PIER 43 [2003] PIER 42 [2003] PIER 41 [2003] PIER 40 [2003] PIER 39 [2003] PIER 38 [2002] PIER 37 [2002] PIER 36 [2002] PIER 35 [2002] PIER 34 [2001] PIER 33 [2001] PIER 32 [2001] PIER 31 [2001] PIER 30 [2001] PIER 29 [2000] PIER 28 [2000] PIER 27 [2000] PIER 26 [2000] PIER 25 [2000] PIER 24 [1999] PIER 23 [1999] PIER 22 [1999] PIER 21 [1999] PIER 20 [1998] PIER 19 [1998] PIER 18 [1998] PIER 17 [1997] PIER 16 [1997] PIER 15 [1997] PIER 14 [1996] PIER 13 [1996] PIER 12 [1996] PIER 11 [1995] PIER 10 [1995] PIER 09 [1994] PIER 08 [1994] PIER 07 [1993] PIER 06 [1992] PIER 05 [1991] PIER 04 [1991] PIER 03 [1990] PIER 02 [1990] PIER 01 [1989]
Numerical Studies of Disordered Photonic Crystals
By
, Vol. 41, 107-131, 2003
Abstract
Since the first demonstration of a complete photonic band gap by E. Yablonovitch in 1987 [1], photonic band gap materials have attracted a very significant interest in Electromagnetism but also in Solid State Physics. Doped photonic crystals that have a point defect (a local disturbance) have been extensively studied with the emergence of this new area of Physics. They present localized modes in the band gap and triggered many potential applications. Fewer papers have been devoted to strongly disordered photonic crystals that are periodic on the average. These structures are disturbed on the overall feature and the defect corresponding is referred to as extended. Analogue at a first glance to amorphous semiconductors, these materials could present interesting properties. Moreover, manufacture of photonic crystals is still a real challenge for the optical domain and undesirable extended defects can appear leading to a compulsory study of the tolerances of periodicity for such new materials.
Citation
, "Numerical Studies of Disordered Photonic Crystals," , Vol. 41, 107-131, 2003.
doi:10.2528/PIER02010805
http://www.jpier.org/PIER/pier.php?paper=0201085
References

1. Yablonovitch, E., Physical Review Letters, Vol. 58, 2059, 1987.
doi:10.1103/PhysRevLett.58.2059

2. Joannopoulos, J. D., R. D. Meade, and J. N. Winn, Photonic Crystals: Molding the Flow of Light, Princeton University Press, 1995.

3., Journal of Modern Optics, Vol. 41, 1994.

4. Yablonovitch, E., T. J. Gmitter, and K. M. Leung, Physical Review Letters, Vol. 67, 2295, 1991.
doi:10.1103/PhysRevLett.67.2295

5. Ozbay, E., B. Temelkuran, M. Sigalas, G. Tuttle, C. Soukoulis, and K. Ho, Applied Physics Letters, Vol. 69, 3797, 1996.
doi:10.1063/1.117002

6. Deppe, D. G., C. Lei, C. C. Lin, and D. L. Huffaker, Journal of Modern Optics, Vol. 41, 325.

7. Lin, S. Y., V. M. Hietala, L. Wang, and E. D. Jones, Optics Letters, Vol. 21, 1771, 1996.

8. Kosaka, H., T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Physical Review B, Vol. 58, 10096, 1998.
doi:10.1103/PhysRevB.58.R10096

9. Yablonovitch, E., T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer, and J. D. Joannopoulos, Physical Review Letters, Vol. 67, 3380, 1991.
doi:10.1103/PhysRevLett.67.3380

10. Anderson, P. W., Physical Review, Vol. 109, 1492, 1958.
doi:10.1103/PhysRev.109.1492

11. Tayeb, G. and D. Maystre, Journal of Optical Society of America A, Vol. 14, 3323, 1997.

12. Gadot, F., A. de Lustrac, J. M. Lourtioz, T. Brillat, A. Ammouche, and E. Akmansoy, Journal of Applied Physics, Vol. 85, 145, 1999.
doi:10.1063/1.370634

13. Villeneuve, P. R., S. Fan, and J. D. Joannopoulos, Physical Review B, Vol. 54, 7837, 1996.
doi:10.1103/PhysRevB.54.7837

14. Chow, Y., L.-M. Li, Z.-Q. Zhang, and C. T. Chan, Physical Review B, Vol. 60, 1999.

15. Bayindir, M., B. Temelkuran, and E. Ozbay, Physical Review B, Vol. 61, 18, 2000.
doi:10.1103/PhysRevB.61.R11855

16. Gadot, F., E. Akmansoy, A. de Lustrac, T. Brillat, A. Ammouche, and J. M. Lourtioz, Journal of Applied Physics, Vol. 85, 8499, 1999.
doi:10.1063/1.370634

17. Smith, D. R., S. Schultz, S. L. McCall, and P. M. Platzmann, Journal of Modern Optics, Vol. 41, 395, 1994.

18. Sakoda, K., Physical Review B, Vol. 52, 7982, 1995.
doi:10.1103/PhysRevB.52.7982

19. Foresi, J. S., P. R. Villeneuve, J. Ferrera, E. R. Thoen, G. Steinmeyer, S. Fan, J. D. Joannopoulos, L. C. Kimerling, H. I. Smith, and E. P. Ippen, Nature, Vol. 390, 143, 1997.
doi:10.1038/36514

20. Pelosi, G., R. Coccioli, and S. Selleri, Quick finite elements for electromagnetic waves, Artech House.

21. John, S., Physical Review Letters, Vol. 58, 2486, 1987.
doi:10.1103/PhysRevLett.58.2486

22. Fan, S., P. R. Villeneuve, and J. D. Joannopoulos, Journal of Applied Physics, Vol. 78, 1415, 1995.
doi:10.1063/1.360298

23. McLean, A. S. and J. B. Pendry, Journal of Modern Optics, Vol. 42, 339, 1995.

24. Sigalas, M. M., C. M. Soukoulis, C. T. Chan, and D. Turner, Physical Review B, Vol. 53, 8340, 1996.
doi:10.1103/PhysRevB.53.8340

25. Li, H., B. Cheng, and D. Zhang, Physical Review B, Vol. 56, 10734, 1997.
doi:10.1103/PhysRevB.56.10734

26. Malyshkin, V., A. R. McGurn, J. M. Elson, and P. Tran, Waves in Random Media, Vol. 8, 203, 1998.
doi:10.1088/0959-7174/8/2/004

27. Guida, G., Optics Communications, Vol. 156, 294, 1998.
doi:10.1016/S0030-4018(98)00462-3

28. Ryu, H. Y., J. K. Hwang, and Y. H. Lee, Physical Review B, Vol. 59, 5463, 1999.
doi:10.1103/PhysRevB.59.5463

29. Chutinan, A. and S. Noda, Journal of the Optical Society of America B, Vol. 16, 240, 1999.

30. Sigalas, M. M., C. M. Soukoulis, C. T. Chan, R. Biswas, and K. M. Ho, Physical Review B, Vol. 59, 12767, 1999.
doi:10.1103/PhysRevB.59.12767

31. Chutinan, A. and S. Noda, Journal of the Optical Society of America B, Vol. 16, 1398, 1999.

32. Asatryan, A. A., P. A. Robinson, L. C. Botten, R. C. McPhedran, N. A. Nicorovici, and C. Martijn de Sterke, Physical Review E, Vol. 60, 6118, 1999.
doi:10.1103/PhysRevE.60.6118

33. Vlasov, Y. A., M. A. Kaliteevski, and V. V. Nikolaev, Physical Review B, Vol. 60, 1555, 1999.
doi:10.1103/PhysRevB.60.1555

34. Li, Z. Y., X. Zhang, and Z. Q. Zhang, Physical Review B, Vol. 61, 15738, 2000.
doi:10.1103/PhysRevB.61.15738

35. Asatryan, A. A., P. A. Robinson, L. C. Botten, R. C. McPhedran, N. A. Nicorovici, and C. Martijn de Sterke, Physical Review E, No. 4, 5711, 2000.
doi:10.1103/PhysRevE.62.5711

36. Lidorikis, E., M. M. Sigalas, E. N. Economou, and C. M. Soukoulis, Vol. 61, , Vol. 61, 13458, 2000.

37. Houdre, R., C. Weisbuch, R. P. Stanley, U. Oesterle, and M. Ilegems, Physical Review B, Vol. 61, 2000.

38. Guida, G., T. Brillat, A. Ammouche, F. Gadot, A. de Lustrac, and A. Priou, Journal of Applied Physics, Vol. 88, 4491, 2000.
doi:10.1063/1.1290451

39. Frigerio, J.-M., J. Rivory, and P. Sheng, Optics Communications, Vol. 98, 231, 1993.
doi:10.1016/0030-4018(93)90186-9

40. Bulgakov, S. A. and M. Nieto-Vesperinas, Journal of the Optical Society of America A, Vol. 13, 1996.

41. Felbacq, D., D. Maystre, and G. Tayeb, Journal of Modern Optics, Vol. 42, 473, 1995.

42. Ho, K. M., C. T. Chan, and C. M. Soukoulis, Physical Review Letters, Vol. 65, 3152, 1990.
doi:10.1103/PhysRevLett.65.3152

43. Taflove, A., Computational electrodynamics: The Finite-Difference Time-Domain Method, Artech House, Boston, London, 1995.

44. Pendry, J. B. and A. MacKinnon, "Calculation of photon dispersion relations," Physical Review Letters, Vol. 69, 1992.
doi:10.1103/PhysRevLett.69.2772

45. Felbacq, D., G. Tayeb, and D. Maystre, Journal of the Optical Society A, Vol. 11, 2526, 1994.

46. de Daran, F., V. Vigneras-Lefebvre, and J. P. Parneix, , IEEE Trans. on Magnetics, Vol. 31, 1598, 1995.
doi:10.1109/20.376338

47. Stout, D. B., J. C. Auger, and J. Lafait, Journal Modern Optics, 2001.

48. Maystre, D., Pure Applied Optics, Vol. 3, 975, 1994.
doi:10.1088/0963-9659/3/6/005

49. Dansas, P. and N. Paraire, Journal of the Optical Society of America A, Vol. 15, 1586, 1998.

50. Leung, K. M. and Y. F. Liu, Physical Review Letters, Vol. 65, 2646, 1990.
doi:10.1103/PhysRevLett.65.2646

51. Zhang, Z. and S. Satpathy, Physical Review Letters, Vol. 65, 2650, 1990.
doi:10.1103/PhysRevLett.65.2650

52. Ho, K. M., C. T. Chan, and C. M. Soukoulis, Physical Review Letters, Vol. 65, 3152, 1990.
doi:10.1103/PhysRevLett.65.3152

53. Meade, R. D., K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, Physical Review B, Vol. 44, 13772, 1991.
doi:10.1103/PhysRevB.44.13772

54., "Different papers used the plane wave method in the special issues on photonic crystals," J. Mod. Opt., Vol. 41, 1994.

55. Smith, D. R., R. Dalichaouch, N. Kroll, S. Schultz, S. L. MacCall, and P. M. Platzman, Journal of the Optical Society of America B, Vol. 10, 314, 1993.

56. Sakoda, K., Physical Review B, Vol. 52, 8992, 1995.
doi:10.1103/PhysRevB.52.8992

57. Li, Z.-Y., L.-L. Lin, and Z.-Q. Zhang, Physical Review Letters, Vol. 84, 4341, 2000.
doi:10.1103/PhysRevLett.84.4341

58. Sozuer, H. S., J. W. Haus, and R. Inguva, Physical Review B, Vol. 45, 13962, 1992.
doi:10.1103/PhysRevB.45.13962

59. de Lustrac, A., F. Gadot, S. Cabaret, J. M. Lourtioz, T. Brillat, A. Priou, and E. Akmansoy, Applied Physics Letters, Vol. 75, 1625, 1999.
doi:10.1063/1.124775

60. Leonard, S. W., J. P. Mondia, H. M. van Driel, O. Toader, S. John, K. Busch, A. Birner, U. Gösele, and V. Lehmann, Physical Review B, Vol. 61, R2389, 2000.
doi:10.1103/PhysRevB.61.R2389

61. Gadot, F., A. Ammouche, E. Akmansoy, T. Brillat, A. de Lustrac, and J.-M. Lourtioz, IEE Proceedings Optoelectronics, Vol. 145, 415, 1998.

62. Sigalas, M. M., C. M. Soukoulis, C. T. Chan, and K. M. Ho, Physical Review B, Vol. 49, 11080, 1994.
doi:10.1103/PhysRevB.49.11080

63. Pendry, J. B. and L. Martin-Moreno, Physical Review B, Vol. 50, 5062, 1994.
doi:10.1103/PhysRevB.50.5062

64. Smith, D. R., S. Shultz, N. Kroll, M. Sigalas, K. M. Ho, and C. M. Soukoulis, Applied Physical Letters, Vol. 65, 645, 1994.
doi:10.1063/1.112258

65. Ozbay, E., E. Michel, G. Tuttle, M. Sigalas, and K. M. Ho, Applied Physical Letters, Vol. 65, 2059, 1994.
doi:10.1063/1.111736

66. Gadot, F., A. Chelnokov, A. de Lustrac, P Crozat, J. M lourtioz, D. Cassagne, and asnd C. Jouanin, Applied Physical Letters, Vol. 71, 1780, 1997.
doi:10.1063/1.119396

67. Pendry, J. B., Journal of Modern Optics, Vol. 41, 209, 1994.

68. Pendry, J. B. and P. M. Bell, NATO Advanced Study Institute on Photonic Band Gap Materials, Costas M. Soukoulis (ed.), 1995.

69. Abramovitz, M. and I. Stegun, Handbook of Mathematical Functions, Dover, New York, 1970.

70. Roussel, H., W. C. Chew, F. Jouvie, and W. Tabbara, Journal of Electromagnetic Waves and Applications, Vol. 10, 109, 1996.

71. Vigneras-Lefebvre, V., J. L. Miane, and J. P. Parneix, Journal de Physique III, Vol. 3, 593, 1993.
doi:10.1051/jp3:1993151

72. Wang, M. and W. C. Chew, IEEE Trans. Ant. Prop., Vol. 41, 1633, 1993.
doi:10.1109/8.273306

73. Sabouroux, P., G. Tayeb, and D. Maystre, Optics Communications, Vol. 160, 33, 1999.
doi:10.1016/S0030-4018(98)00642-7

74. Pendry, J. B., A. J. Holden, W. J. Stewart, and I. Youngs, Physical Review Letters, Vol. 76, 4773, 1996.
doi:10.1103/PhysRevLett.76.4773

75. Sievenpiper, D. F., M. E. Sickmiller, and E. Yablonovitch, Physical Review Letters, Vol. 76, 2480, 1996.
doi:10.1103/PhysRevLett.76.2480

76. Guida, G., D. Maystre, G. Tayeb, and P. Vincent, Journal of the Optical Society of America B, Vol. 15, 2308, 1998.

77. Felbacq, D. and G. Bouchitte, Waves Random Media, Vol. 7, 245, 1997.
doi:10.1088/0959-7174/7/2/006

78. Guida, G., D. Maystre, G. Tayeb, and P. Vincent, Journal of the Optical Society of America B, Vol. 15, 2308, 1998.

79. Petit, R., Topics in Current Physics, Electromagnetic Theory of Gratings, Springer-Verlag, Berlin, 1980.

80. Li, L., Journal of the Optical Society of America A, Vol. 14, 2758, 1997.

81. Giovannini, H., M. Saillard, and A. Sentenac, Journal of the Optical Society of America A, Vol. 15, 1182, 1998.

82. Gralak, B., S. Enoch, and G. Tayeb, Journal of the Optical Society of America A, Vol. 17, 1012, 2000.

83. Modinos, A., N. Stefanou, and V. Yannopapas, Optics Express, Vol. 8, 197, 2001.