Calculation of photonic bands using vector cylindrical waves and reflectivity of light for an array of dielectric rods

Physical Review B - Condensed Matter and Materials Physics

Volumn 57, Issue 4, 1998, Pages 2550-2568

  Ohtaka, Kazuo ^a   Ueta, Tsuyoshi ^a   Amemiya, Katsuki ^a  

^a CHIBA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000509788     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.57.2550     Document Type: Article

References (54)

1. E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
2. For review articles of the general aspects of photonic bands, see, e.g., E. Yablonovitch, in Photonic Band Gaps and Localization, edited by C. M. Soukoulis (Plenum, New York, 1993), p. 207;
3. J. Phys.: Condens. Matter 5, 2443 (1993);see also, J. D. Joannopoulos, R. D. Meade, and J. N. Winn, Photonic Crystals (Princeton University Press, Princeton, 1955);and P. M. Hui and Neil F. Johnson, in Solid State Physics, edited by H. Ehrenreich and F. Spaepen (Academic, New York, 1995), Vol. 49, p. 151.
4. Z. Zhang and S. Satpathy, Phys. Rev. Lett. 65, 2650 (1990). Many more recent works are found in J. Opt. Soc. Am. 10 (1993).
5. See also the works in Photonic Band Gaps and Localization, edited by C. M. Soukoulis (Plenum, New York, 1993);and in Photonic Band Gap Materials (Kluwer, Dordrecht, 1996), edited by C. M. Soukoulis.
6. D. L. Mills and S. E. Trullinger, Phys. Rev. B 36, 947 (1987).
7. G. Kurizki and A. Z. Genack, Phys. Rev. Lett. 61, 2269 (1988).
8. S. John and N. Aközbek, Phys. Rev. Lett. 71, 1168 (1993).
9. S. John and T. Quang, Phys. Rev. A 50, 1764 (1994).
10. S. JohnT. QuangPhys. Rev. Lett. 74, 3419 (1995).
11. K. Sakoda and K. Ohtaka, Phys. Rev. B 54, 5732 (1996).
12. Phys. Rev. BK. SakodaK. Ohtaka54, 5742 (1996).
13. K. Ohtaka and Y. Tanabe, J. Phys. Soc. Jpn. 65, 2265 (1996).
14. K. Ohtaka and Y. Tanabe, J. Phys. Soc. Jpn. 65, 2670 (1996).
15. K. Ohtaka and Y. Tanabe, J. Phys. Soc. Jpn. 65, 2276 (1996).
16. K. Ohtaka, T. Ueta, and Y. Tanabe, J. Phys. Soc. Jpn. 65, 3068 (1996).
17. Y. Yamagami and A. Hasegawa, J. Phys. Soc. Jpn. 60, 987 (1991).
18. See, e.g., H. M. Tzeng, K. F. Wall, M. B. Long, and R. K. Chang, Opt. Lett. 9, 499 (1984).
19. J. D. Eversole, H.-B. Lin, A. L. Huston, A. J. Campillo, P. T. Leung, S. Y. Liu, and K. Young, J. Opt. Soc. Am. B 10, 1955 (1993), and references therein.
20. S. John and J. Wang, Phys. Rev. Lett. 64, 2418 (1990).
21. S. L. McCall, P. M. Platzman, R. Dalichaouch, D. Smith, and S. Schultz, Phys. Rev. Lett. 67, 2017 (1991).
22. J. W. Haus, J. Mod. Opt. 41, 195 (1994), and references therein.
23. S. Bulgakov and M. Nieto-Vesperinas, J. Opt. Soc. Am. A 13, 500 (1996).
24. N. A. Nicorovici and R. C. McPhedran, Phys. Rev. E 50, 3143 (1994).
25. N. A. Nicorovici, R. C. McPhedran, and Bao Ke-Da, Phys. Rev. E 51, 690 (1995).
26. N. A. Nicorovici, R. C. McPhedran, and L. C. Botten, Phys. Rev. E 52, 1135 (1995).
27. K. Ohtaka, Phys. Rev. B 19, 5057 (1979).
28. H. S. Sözüer, J. W. Haus, and R. Inguva, Phys. Rev. B 45, 13 962 (1992).
29. J. A. Stratton, Electromagnetic Theory (McGraw-Hill, New York, 1941), p. 397.
30. K. Ohtaka, J. Phys. C 13, 667 (1980).
31. R. Ruppin and R. Englman, Rep. Prog. Phys. 33, 149 (1970).
32. J. B. Pendry, Low Energy Electron Diffraction (Academic, London, 1974), p. 138.
33. S. Y. Tong, Prog. Surf. Sci. 7, 1 (1975).
34. J. B. Pendry, J. Mod. Opt. 41, 209 (1993).
35. D. Felbacq, G. Tayeb, and D. Maystre, J. Opt. Soc. Am. A 11, 2526 (1994).
36. K. Ohtaka and M. Inoue, J. Phys. Soc. Jpn. 52, 3853 (1983).
37. K. Kambe, Z. Naturforsch. A 22, 322 (1967).
38. F. S. Ham and B. Segall, Phys. Rev. 124, 1786 (1961).
39. J. W. Haus, H. S. Sözüer, and R. Inguva, J. Mod. Opt. 39, 1991 (1992).
40. H. S. Sözüer and J. W. Haus, J. Opt. Soc. Am. B 10, 296 (1993).
41. K. M. Leung and Y. F. Liu, Phys. Rev. Lett. 21, 2645 (1990).
42. K. M. Ho, C. T. Chan, and C. M. Soukoulis, Phys. Rev. Lett. 65, 3152 (1990).
43. C. M. Anderson and K. P. Giapis, Phys. Rev. Lett. 30, 2949 (1996), and references therein.
44. M. Plihal and A. A. Maradudin, Phys. Rev. B 44, 8565 (1991).
45. J. Opt. Soc. Am. B 10, 307 (1993).
46. K. Sakoda, Phys. Rev. B 52, 7982 (1995).
47. K. Sakoda, Phys. Rev. B 51, 4672 (1995).
48. Phys. Rev. BK. Sakoda52, 8992 (1995).
49. K. Sakoda (private communication).
50. N. Stefanou, V. Karathanos, and A. Modinos, J. Phys.: Condens. Matter 4, 7389 (1992).
51. W. M. Robertson, G. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe, and J. D. Joannopoulos, Phys. Rev. Lett. 68, 2023 (1992).
52. W. M. RobertsonG. ArjavalingamR. D. MeadeK. D. BrommerA. M. RappeJ. D. JoannopoulosJ. Opt. Soc. Am. B 10, 322 (1993).
53. M. Born and K. Huang, Dynamical Theory of Crystal Lattices (Oxford University Press, London, 1968), p. 385.
54. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1970), p. 295.