volume | PIER Journals

Abstract

This paper introduces photonic band gap (PBG) materials that are periodic dielectric or metallo-dielectric materials conceived to control the propagation of electromagnetic waves. Firstly, the principle of these materials is explained. Doped PBG materials are then presented with their main properties and applications. New phenomena like super-prism or super-lens are also introduced. A review of different numerical methods used to study photonic band gap materials and to analyze their properties is given next. Manufacturing processes are then briefly described and foreseen applications are presented. Finally, the new field of the controllable photonic band gap materials is introduced.

1. Yablonovitch, E., Phys. Rev. Lett., Vol. 58, 2059, 1987.
doi:10.1103/PhysRevLett.58.2059 Google Scholar

2. John, S., Phys. Rev. B, Vol. 58, No. 23, 2486-2489, 1987. Google Scholar

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

4. Yablonovitch, E., Phys. Rev. Lett., Vol. 67, No. 17, 2295-2300, 1991.
doi:10.1103/PhysRevLett.67.2295 Google Scholar

5. de Lustrac, A., F. Gadot, S. Cabaret, J. M. Lourtioz, T. Brillat, A. Priou, and E. Akmansoy, Appl. Phys. Lett., Vol. 75, No. 11, 1625-1627, 1999.
doi:10.1063/1.124775 Google Scholar

6. Leonard, S. W., J. P. Mondia, H. M. van Driel, O. Toader, S. John, K. Busch, A. Birner, U. GÃ¶sele, and V. Lehmann, Phys. Rev. B, Vol. 61, R2389, 2000.
doi:10.1103/PhysRevB.61.R2389 Google Scholar

7. Painter, O., et al. Science, Vol. 284, 1819-1821, 1999.
doi:10.1126/science.284.5421.1819 Google Scholar

8. Villeneuve, P. R., et al. Appl. Phys. Lett., Vol. 67, No. 2, 167-170, 1995.
doi:10.1063/1.114655 Google Scholar

9. Labilloy, D., et al. Phys. Rev. Lett., Vol. 79, No. 21, 4147-4151, 1997.
doi:10.1103/PhysRevLett.79.4147 Google Scholar

10. Meade, R. D., et al. J. of Appl. Phys., Vol. 75, No. 9, 4753-4755, 1994.
doi:10.1063/1.355934 Google Scholar

11. Mekis, A., S. Fan, and J. D. Joannopoulos, "4809-4817," Phys. Rev. B, Vol. 58, No. 8, 4809-4817, 1998.
doi:10.1103/PhysRevB.58.4809 Google Scholar

12. Boroditsky, M., et al. "1999 IEEE LEOS Annual Meeting Conference Proceeding," LEOS'99, 238-239, 1999.
doi:10.1109/LEOS.1999.813567

13. Knight, J. C., T. A. Birks, P. S. J. Russell, and D. M. Atkin, Optics Letters, Vol. 21, No. 19, 1547-1549, 1996. Google Scholar

14. Bjarklev, A., et al. J. of Optics A, Vol. 2, No. 6, 584-588, 2000. Google Scholar

15. "Photonic Crystals," Journal of Optical Society of America B, Vol. 10, 1993. Google Scholar

16. Temelkuran, B. and E. Ozbay, Appl. Phys. Lett., Vol. 74, 486, 1999.
doi:10.1063/1.123163 Google Scholar

17. Brown, E. R., C. D. Parker, and E. Yablonovitch, J. opt. Soc. Am. B, Vol. 10, 404, 1993. Google Scholar

18. Brown, E. R. and O. B. McMahon, Appl. Phys. Lett., Vol. 68, 1300, 1996.
doi:10.1063/1.115959 Google Scholar

19. Sigalas, M. M., et al. Micro. Opt. Tech. Lett., Vol. 15, 153, 1997.
doi:10.1002/(SICI)1098-2760(19970620)15:3<153::AID-MOP10>3.0.CO;2-8 Google Scholar

20. Temelkuran, B., et al. J. Appl. Phys., Vol. 87, 603, 2000.
doi:10.1063/1.371905 Google Scholar

21. Thevenot, M., C. Cheype, A. Reineix, and B. Jecko, IEEE Trans. Microwave Theory Tech., Vol. 47, 2115, 1999.
doi:10.1109/22.798007 Google Scholar

22. Sievenpiper, D., L. Zhang, R. Broas, N. Alexopolous, and E. Yablonovitch, IEEE Transactions on Microwave Theory and Techniques, Vol. 47, 2059-2074, 1999.
doi:10.1109/22.798001 Google Scholar

23. Yang, F. R., Y. Qian, R. Coccioli, and T. Itoh, IEEE Microwave and Guided Wave Lett., Vol. 8, 372-374, 1998.
doi:10.1109/75.736247 Google Scholar

24. Yang, F. R., K. P. Ma, Y. Qian, and T. Itoh, IEEE Trans. Microwave Theory Tech., Vol. 47, No. 8, 1509-1514, 1999.
doi:10.1109/22.780402 Google Scholar

25. Ma, K. P., K. Hirose, F. R. Yang, Y. Qian, and T. Itoh, Electronic Lett., Vol. 34, No. 21, 2041-2042, 1998.
doi:10.1049/el:19981391 Google Scholar

26. Yang, F. R., Microwave Theory and tech., Vol. 47, No. 11, 2092-2098, 2092.
doi:10.1109/22.798004 Google Scholar

27. Kittel, C., Solid State Physics, Dunod, 1958.

28. Pendry, J. B., Journal of Phys. Cond. Matter, Vol. 8, 1085-1108, 1996.
doi:10.1088/0953-8984/8/9/003 Google Scholar

29. Gadot, F., T. Brillat, E. Akmansoy, and A. de Lustrac, Electronic Letters, Vol. 36, No. 7, 640-641, 2000.
doi:10.1049/el:20000406 Google Scholar

30. Vukusic, P.J.-R. Sambles, C.-R. Lawrence, and R. J. Wootton, "1403-1411," Proc. R. Soc. Lond. B, Vol. 266, 1403-1411, 1999.

31. Lourtioz, J. M. and D. Maystre, Pour la Science, No. 9, 66-73, September 2000. Google Scholar

32. Gupta, S., G. Tuttle, M. Sigalas, and K.-M. Ho, Appl. Phys. Lett., Vol. 71, No. 17, 2412, 1997.
doi:10.1063/1.120077 Google Scholar

33. Cuisin, C., A. Chelnokov, J.-M. Lourtioz, D. Decanini, and Y. Chen, Appl. Phys. Lett., Vol. 77, No. 6, 770-772, 2000.
doi:10.1063/1.1306646 Google Scholar

34. Langley, T. KR. J. Langley, and E. A. Parker, IEE Proc.-Microw. Antennas Propag., Vol. 143, No. 1, 62-66, 1996.

35. Tayeb, G. and D. Maystre, Journal of Optical Society of America A, Vol. 14, No. 12, 3323-3332, 1997. Google Scholar

36. Villeneuve, P. R., S. Fan, and J. D. Joannopoulos, Phys. Rev. B, Vol. 54, 7837-7842, 1996.
doi:10.1103/PhysRevB.54.7837 Google Scholar

37. Gadot, F., E. Akmansoy, A. de Lustrac, T. Brillat, A. Ammouche, and J. M. Lourtioz, J. Appl. Phys., Vol. 85, No. 12, 8499-8501, 1999.
doi:10.1063/1.370634 Google Scholar

38. Kosaka, H., T. Kwashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Physical Review B, Vol. 58, No. 16, 10096-10099, 1998.
doi:10.1103/PhysRevB.58.R10096 Google Scholar

39. Kosaka, H., T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato, and S. Kawakami, Applied Physics Letters, Vol. 74, No. 10, 1370-1372, 1999.
doi:10.1063/1.123553 Google Scholar

40. Enoch, S., G. Tayeb, and D. Maystre, Optics Communications, Vol. 161, 171-176, 1999.
doi:10.1016/S0030-4018(99)00035-8 Google Scholar

41. Gralak, B., S. Enoch, and G. Tayeb, Journal of Optical Society of America A, Vol. 17, No. 6, 1012-1020, 2000. Google Scholar

42. Pendry, J. B., A. J. Holden, D. J. Robbins, and W. J. Stewart, IEEE Trans. on Microwave Theory and Tech., Vol. 47, No. 11, 2075, 1999.
doi:10.1109/22.798002 Google Scholar

43. Smith, D. R., W. J. Padilla, D. C. Vier, S. C. Nemat-Nasser, and S. Schulz, Phys. Rev. Lett., Vol. 84, No. 18, 4184-4187, 2000.
doi:10.1103/PhysRevLett.84.4184 Google Scholar

44. Varadan, V. K., Y. Ma, and V. V. Varadam, Progress In Electromagnetics Research, Vol. PIER 6, 327, 1994. Google Scholar

45. Pendry, J. B., J. Phys. Cond. Mat., Vol. 8, 1085-1108, 1996.
doi:10.1088/0953-8984/8/9/003 Google Scholar

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

47. Pelosi, G., R. Coccioli, and S. Selleri (Eds.), Quick Finite Elements for Electromagnetic Waves, Artech House.

48. Pendry, J. B. and A. MacKinnon, Phys. Rev. Lett., Vol. 69, 2772, 1992.
doi:10.1103/PhysRevLett.69.2772 Google Scholar

49. Felbacq, D., G. Tayeb, and D. Maystre, Journal of the Optical Society of America A, Vol. 11, No. 9, 2526-2538, 1994. Google Scholar

50. de Daran, F., V. Vigneras-Lefebvre, and J. P. Parneix, IEEE Trans. on Magnetics, Vol. 31, No. 3, 1598-1601, 1995.
doi:10.1109/20.376338 Google Scholar

51. Maystre, D., Pure Appl. Opt., Vol. 3, 975-993, 1994.
doi:10.1088/0963-9659/3/6/005 Google Scholar

52. J. Mod. Opt., Vol. 41, 1994. Google Scholar

53. Meade, R. D., K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, Phys. Rev. B, Vol. 44, 13772-13774, 1991.
doi:10.1103/PhysRevB.44.13772 Google Scholar

54. Smith, D. R., R. Dalichaouch, N. Kroll, S. Schultz, S. L. MacCall, and P. M. Platzman, J. Opt. Soc. Am. B, Vol. 10, 314-321, 1993. Google Scholar

55. Sakoda, K., Phys. Rev. B, Vol. 52, 8992-9002, 1995.
doi:10.1103/PhysRevB.52.8992 Google Scholar

56. Li, Z.-Y., L.-L. Lin, and Z.-Q. Zhang, Physical Review Letters, Vol. 84, No. 19, 4341-4344, 2000.
doi:10.1103/PhysRevLett.84.4341 Google Scholar

57. Fan, S., P. R. Villeneuve, J. D. Joannopoulos, and E. F. Schubert, Phys. Rev. Lett., Vol. 78, 3294-3297, 1997.
doi:10.1103/PhysRevLett.78.3294 Google Scholar

58. Seo, Y.-S., K.-B. Chung, and H.-K. Hoeji, South Korea, Vol. 11, No. 3, 198-201, 2000. Google Scholar

59. Qiu, M. and S. He, J. of Appl. Phys., Vol. 87, No. 12, 8268-8272, 2000.
doi:10.1063/1.373537 Google Scholar

60. Chan, C. T., Q. L. Yu, and K. M. Ho, Phys. Rev. B, Vol. 51, 1995. Google Scholar

61. Ziolkowski, R. W. and M. Tanaka, J. Opt. Soc. Am, Vol. 16, No. 4, 930-940, 1999. Google Scholar

62. Taflove Advances in Computational Electrodynamics, Artech House..

63. Gadot, F., IEEE Trans. on Magn., Vol. 34, No. 5, 1998.
doi:10.1109/20.717708 Google Scholar

64., http://www.elec.gla.ac.uk/ areynolds/software.html.

65. Sigalas, M. M., C. M. Soukoulis, C. T. Chan, and K. M. Ho, Phys. Rev. B, Vol. 49, 11080-11087, 1994.
doi:10.1103/PhysRevB.49.11080 Google Scholar

66. Pendry, J. B. and L. Martin-Moreno, Phys. Rev. B, Vol. 50, 5062, 1994.
doi:10.1103/PhysRevB.50.5062 Google Scholar

67. Smith, D. R., S. Schultz, N. Kroll, M. Sigalas, K. M. Ho, and C. M. Soukoulis, Appl. Phys. Lett., Vol. 65, 645-647, 1994.
doi:10.1063/1.112258 Google Scholar

68. Ozbay, E., E. Michel, G. Tuttle, M. Sigalas, and K. M. Ho, Appl. Phys. Lett., Vol. 65, 2059-2061, 1994.
doi:10.1063/1.111736 Google Scholar

69. Gadot, F., A. Chelnokov, A. De Lustrac, P. Crozat, J. M. Lourtioz, D. Cassagne, and C. Jouanin, Appl. Phys. Lett., Vol. 71, 1780-1782, 1997.
doi:10.1063/1.119396 Google Scholar

70. Guida, G., P. N. Stavrinou, G. Parry, and J. B. Pendry, Journal of Modern Optics, 2000. Google Scholar

71. Sakoda, K. and H. Shiroma, Phys. Rev. B, Vol. 56, No. 8, 4830, 1997.
doi:10.1103/PhysRevB.56.4830 Google Scholar

72. Kuzmiak, W. and A. Maradudin, Phys. Rev. B., Vol. 61, No. 16, 10750-10762, 2000.
doi:10.1103/PhysRevB.61.10750 Google Scholar

73. Maradudin, A. A. and A. R. McGurn, Photonic Band Gaps and Localization, 247, Plenum Press, , 1993.

74. McGurn, A. R., Phys. Rev. B, Vol. 53, No. 11, 7059-7065, 1996.
doi:10.1103/PhysRevB.53.7059 Google Scholar

75. Caloz, C.D. Curcio, A. Alvarez-Melcon, A. K. Skrivervik, and F. E. Gardiol, "Proceedings of the SPIE," The International Society for Optical Engineering, Vol. 3795, 176-187, 1999.
doi:10.1117/12.370161

76. Caloz, C., A. K. Skrivervik, and F. E. Gardiol, Microwave and Optical Technology Letters, Vol. 24, No. 5, 316-322, 2000.
doi:10.1002/(SICI)1098-2760(20000305)24:5<316::AID-MOP10>3.0.CO;2-R Google Scholar

77. Lidorikis, E., M. M. Sigalas, E. N. Economou, and C. M. Soukoulis, Phys. Rev. B, Vol. 61, No. 20, 13458-13464, 2000.
doi:10.1103/PhysRevB.61.13458 Google Scholar

78. Li, Z.-Y., X. Zhang, and Z.-Q. Zhang, Phys. Rev. B, Vol. 63, No. 23, 15738-15747, 2000.
doi:10.1103/PhysRevB.61.15738 Google Scholar

79. Guida, G., T. Brillat, A. Ammouche, F. Gadot, A. de Lustrac, and A. Priou, Jouranl of Applied Physics, Vol. 88, No. 8, 4491-4497, 2000.
doi:10.1063/1.1290451 Google Scholar

80. Forchel, A., M. Kamp, T. Happ, J. P. Reithmaier, M. Bayer, J. Koeth, and R. Dietrich, Microelectronic Engineering, Vol. 53, No. 1-4, 21-28, 2000.
doi:10.1016/S0167-9317(00)00261-6 Google Scholar

81. Fleming, J. G., Opt. Lett., Vol. 24, No. 49, 1999. Google Scholar

82. Kawakami, S., Electronics Letters, Vol. 33, No. 14, 1260-1261.
doi:10.1049/el:19970844 Google Scholar

83. Amos, R. M., T. J. Shepherd, J. G. Rarity, and P. Tapster, Electronics Letters, Vol. 36, No. 16, 1411-1412, 2000.
doi:10.1049/el:20000938 Google Scholar

84. Campbell, M., D. N. Sharp, M. T. Harrison, R. G. Denning, and A. J. Tuberfield, Nature, Vol. 404, No. 53, 2000. Google Scholar

85. Chelnokov, A., S. Rowson, J.-M. Lourtioz, V. Berger, and J. Y. Courtois, J. Opt. A: Pure and Appl. Opt.,, Vol. 1, 1999. Google Scholar

86. Deppe, D. G., C. Lei, C. C. Lin, and D. L. Huffaker, Journal of Modern Optics, Vol. 41, 325, 1994. Google Scholar

87. Zhu, S.-Y., Y. Yang, H. Chen, H. Zheng, and M. S. Zubairy, Physical Review Letters, Vol. 84, No. 10, 2136-2139, 2000.
doi:10.1103/PhysRevLett.84.2136 Google Scholar

88. Thevenot, M., A. Reineix, and B. Jecko, Microwave and Optical Technology Letters, Vol. 21, 411-414, 1999.
doi:10.1002/(SICI)1098-2760(19990620)21:6<411::AID-MOP5>3.0.CO;2-L Google Scholar

89. de Lustrac, A., T. Brillat, F. Gadot, and E. Akmansoy, Applied Physics Letters. Google Scholar

90. Temelkuran, B., M. Bayindir, E. Ozbay, R. Biswas, M. M. Sigalas, G. Tuttle, and K. M. Ho, J. of Appl. Phys, Vol. 87, No. 1, 603-605, 2000.
doi:10.1063/1.371905 Google Scholar

91. Ho, S. S., et al. Appl. Phys. Lett., Vol. 76, No. 16, 2301-2304, 2000.
doi:10.1063/1.126326 Google Scholar

Prof. Geraldine Guida

Prof. Andre De Lustrac

Prof. Alain C. Priou