Analysis of multimode point-defect cavities in three-dimensional photonic crystals using group theory in frequency and time domains

Physical Review B - Condensed Matter and Materials Physics

Volumn 70, Issue 12, 2004, Pages

  Okano, Makoto ^a   Noda, Susumu ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; COMPUTER ANALYSIS; CRYSTAL STRUCTURE; ELECTROMAGNETIC FIELD; FREQUENCY ANALYSIS; FREQUENCY MODULATION; LIGHT; LIGHT EXTRACTION; MAGNETIC FIELD; MATHEMATICAL ANALYSIS; MATHEMATICAL COMPUTING; MULTIMODE POINT DEFECT CAVITY; PATTERN RECOGNITION; PHOTON; POLARIZATION; QUALITY CONTROL; THEORETICAL MODEL; THREE DIMENSIONAL IMAGING; TIME;

EID: 19744381596     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.125105     Document Type: Article

References (44)

1. E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).
2. S. John, Phys. Rev. Lett. 58, 2486 (1987).
3. K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas, and M. Sigalas, Solid State Commun. 89, 413 (1994).
4. E. Özbay, E. Michel, G. Tuttle, R. Biswas, M. Sigalas, and K. M. Ho, Appl. Phys. Lett. 64, 2059 (1994).
5. H. S. Sözüer and J. P. Dowling, J. Mod. Opt. 41, 231 (1994).
6. S. Noda, N. Yamamoto, and A. Sasaki, Jpn. J. Appl. Phys., Part 2 35, L909 (1996).
7. S. Noda, K. Tomoda, N. Yamamoto, and A. Chutinan, Science 289, 604 (2000).
8. S. Noda, M. Imada, M. Okano, S. Ogawa, M. Mochizuki, and A. Chutinan, IEEE J. Quantum Electron. 38, 726 (2002).
9. S. Ogawa, M. Imada, S. Yoshimono, M. Okano, and S. Noda, Science 305, 227 (2004); published online 3 June 2004 (10.1126/science. 1097968).
10. A. Chutinan and S. Noda, Appl. Phys. Lett. 75, 3739 (1999).
11. M. M. Sigalas, R. Biswas, K. M. Ho, C. M. Soukoulis, D. Turner, B. Vasiliu, S. C. Kothari, and S. Lin, Microwave Opt. Technol. Lett. 23, 56 (1999).
12. M. Bayindir, E. Ozbay, B. Temelkuran, M. M. Sigalas, C. M. Soukoulis, R. Biswas, and K. M. Ho, Phys. Rev. B 63, 081107 (2001).
13. E. M. Purcell, Phys. Rev. 69, 681 (1946).
14. D. Kleppner, Phys. Rev. Lett. 47, 233 (1981).
15. S. Noda, N. Yamamoto, M. Imada, H. Kobayashi, and M. Okano, J. Lightwave Technol. 17, 1948 (1999).
16. S. Fan, P. R. Villeneuve, J. D. Joannopoulos, and H. A. Haus, Phys. Rev. Lett. 80, 960 (1998).
17. S. Noda, A. Chutinan, and M. Imada, Nature (London) 407, 608 (2000).
18. O. Painter, R. K. Lee, A. Scherer, A. Yariv, J. D. O'Brien, P. D. Dapkus, and I. Kim, Science 284, 1819 (1999).
19. M. Okano, A. Chutinan, and S. Noda, Phys. Rev. B 66, 165211 (2002).
20. E. Özbay, G. Tuttle, M. Sigalas, C. M. Soukoulis, and K. M. Ho, Phys. Rev. B 51, 13 961 (1995).
21. K. M. Leung and Y. F. Liu, Phys. Rev. Lett. 65, 2646 (1990).
22. Z. Zhang and S. Satpathy, Phys. Rev. Lett. 65, 2650 (1990).
23. K. S. Yee, IEEE Trans. Antennas Propag. AP-14, 302 (1966).
24. K. Ohtaka and Y. Tanabe, J. Phys. Soc. Jpn. 65, 2670 (1996).
25. K. Sakoda, Optical Properties of Photonic Crystals (Springer, Berlin, 2001), Chap. 3.
26. K. M. Ho, C. T. Chan, and C. M. Soukoulis, in Photonic Band Gaps and Localization, edited by C. M. Soukoulis (Plenum, New York, 1993), p. 235.
27. J.-P. Berenger, J. Comput. Phys. 114, 185 (1994).
28. D. S. Katz, E. T. Thiele, and A. Taflove, IEEE Microw. Guid. Wave Lett. 4, 268 (1994).
29. J. D. Jackson, Classical Electrodynamics, 3rd ed. (Wiley, New York, 1999), Sees. 6.10 and 6.11.
30. See, e.g., T. Inui, Y. Tanabe, and Y. Onodera, Group Theory and Its Applications in Physics, 2nd corrected ed. (Springer, Berlin, 1996), Sees. 11.8 and 6.4.
31. See, e.g., G. Burns, Introduction to Group Theory with Applications (Academic Press, New York, 1977), Sec. 5.7.
32. O. Painter, J. Vučković, and A. Scherer, J. Opt. Soc. Am. B 16, 275 (1999).
33. C. T. Chan, Q. L. Yu, and K. M. Ho, Phys. Rev. B 51, 16 635
34. T. Ochiai and K. Sakoda, Phys. Rev. B 63, 125107 (2001).
35. Y. Tanaka, T. Asano, Y. Akahane, B.-S. Song, and S. Noda, Appl. Phys. Lett. 82, 1661 (2003).
36. J. G. Maloney, G. S. Smith, E. T. Thiele, and O. P. Gandhi, in Computational Electrodynamics: The Finite-Difference Time-Domain Method, 2nd ed., edited by A. Taflove and S. C. Hagness (Artech House, Norwood, MA, 2000), Chap. 14.
37. E. Miyai and K. Sakoda, Opt. Lett. 26, 740 (2001).
38. P. R. Villeneuve, S. Fan, and J. D. Joannopoulos, Phys. Rev. B 54, 7837 (1996).
39. Y. Akahane, T. Asano, B.-S. Song, and S. Noda, Nature (London) 425, 944 (2003).
40. J. Vuckovic, M. Loncar, H. Mabuchi, and A. Scherer, IEEE J. Quantum Electron. 38, 850 (2002).
41. K. Srinivasan and O. Painter, Opt. Express 10, 670 (2002).
42. M. Okano, S. Kako, and S. Noda, Phys. Rev. B 68, 235110
43. S. Noda, M. Yokoyama, M. Imada, A. Chutinan, and M. Mochizuki, Science 293, 1001 (2001).
44. M. Okano and S. Noda (unpublished).