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Theory II: Advanced Topics of Photonic Crystals

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Book cover Photonic Crystals

Part of the book series: Springer Series in OPTICAL SCIENCES ((SSOS,volume 94))

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Abstract

This chaper provides further theory which treats advanced topics of PCs, mostly from a theoretical point of view. It is intended for readers who are actively working in the field of PCs and hoping to gain deeper insight into the physics of PBs. Each section is intended to be as independent and self-contained as possible in order for you to read one section or another according to your interest. Most of the contents are related more or less to the work of mine and my colleagues and we have not attempted to make the references comprehensive. Including the monographs and reports cited in Chap. 3, a number of books and feature issures of journals are cited here for advanced studies of photonic crystals [1–10].

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References

  1. C. M. Soukoulis (ed.): Photonic Band Gaps and Localization, ( Plenum, New York 1993 )

    Google Scholar 

  2. C. M. Bowden, J. P. Dowling and H. O. Everitt (ed.): Development and Applications of Materials exhibiting Photonic Band Gaps,J. Opt. Soc. Am. B 10 (1993) pp. 279–413

    Google Scholar 

  3. G. Kurizki and J. W. Haus (ed.): Photonic Band Structures, J. Mod. Opt. 41 (1994) pp.171–404

    Article  ADS  Google Scholar 

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

    MATH  Google Scholar 

  5. C. M. Soukoulis (ed.): Photonic Band Gap Materials, ( Kluwer, Dordrecht 1996 )

    Google Scholar 

  6. A. Scherer, T. Doll, E. Yablonovitch, H. O. Everitt and J. A. Higgins (eds.): Special Section on Electromagnetic Crystal Structures, Desig, Synthesis and Applications, J. Lightwave Technology 17 (1999) pp.1928–2411

    Google Scholar 

  7. S. G. Johnson and J. D. Joannopoulos: Photonic Crystals: The Road from Theory to Practice, ( Kluwer, Dordrecht 2002 )

    Google Scholar 

  8. K. Sakoda: Optical Properties of Photonic Crystals ( Springer, Berlin Heidelberg New York 2001 )

    Book  Google Scholar 

  9. De la Rue (ed.): PECS 2000,Opt. Quantum Electron. 34 No.1/3 (2002) pp.1309

    Google Scholar 

  10. S. Noda and T. Baba: Roadmap on Photonic Crystals, ( Kluwer, Dordrecht, 2003 )

    Book  Google Scholar 

  11. K. S. Yee: IEEE Trans. Antennas Propag. 14, 302 (1966)

    ADS  MATH  Google Scholar 

  12. A. Taflove and S. C. Hagness: Computational Electrodynamics: The Finite-Difference Time-Domain Method, 2nd ed. ( Artech House, Boston 2000 )

    Google Scholar 

  13. J. Korringa: Physica, 13, 392 (1947);

    Article  MathSciNet  ADS  Google Scholar 

  14. W. Kohn and N. Rostoker: Phys. Rev. 94, 1111 (1954)

    Article  ADS  MATH  Google Scholar 

  15. K. Ohtaka: J. Phys. C 13, 667 (1980)

    Article  ADS  Google Scholar 

  16. K. Ohtaka: Phys. Rev. B 19, 5057 (1979)

    Article  ADS  Google Scholar 

  17. K. Ohtaka, T. Ueta and K. Amemiya: Phys. Rev. B 57, 2550 (1998)

    Article  ADS  Google Scholar 

  18. K. Ohtaka and Y. Tanabe: J. Phys. Soc. Jpn. 65, 2265 (1996)

    Article  ADS  Google Scholar 

  19. K. Ohtaka and Y. Tanabe: J. Phys. Soc. Jpn. 65, 2670 (1996)

    Article  ADS  Google Scholar 

  20. K. Ohtaka and M. Inoue: Phys. Rev. B 25, 677 (1982);

    Article  ADS  Google Scholar 

  21. M. Inoue, K. Ohtaka and S. Yanagawa: Phys. Rev. B 25, 689 (1982)

    Article  ADS  Google Scholar 

  22. N. Stefanou, V. Karathanos and A. Modinos: J. Phys. Condens. Matter 4, 7389 (1992);

    Article  ADS  Google Scholar 

  23. X. Wang, X.-G. Zhang, Q. Yu and B. N. Harmon: Phys. Rev. B 47, 4161 (1993);

    Article  ADS  Google Scholar 

  24. A. Moroz: J. Phys. Condens. Matter 6, 171 (1994);

    Article  ADS  Google Scholar 

  25. N. A. Nicorovici, R. C. McPhedron and L. C. Botten: Phys. Rev. E 52, 1135 (1995)

    Article  ADS  Google Scholar 

  26. A. Moroz: Opt. Lett. 26, 1119 (2001);

    Article  ADS  Google Scholar 

  27. K. Amemiya and K. Ohtaka: J. Phys. Soc. Jpn. 72, 1244 (2003)

    Article  ADS  Google Scholar 

  28. J. B. Pendry: Low Energy Electron Diffraction ( Academic, London 1974 )

    Google Scholar 

  29. J. B. Pendry and A. MacKinnon: Phys. Rev. Lett. 69, 2772 (1992)

    Article  ADS  Google Scholar 

  30. N. Stefanou, V. Karathanos and A. Modinos: J. Phys. Condens. Matter 4, 7389 (1992)

    Article  ADS  Google Scholar 

  31. W. M. Robertson, J. Arjavalingam, R. D. Meade, K. D. Brommer, A. M. Rappe and J. D. Joannopoulos: Phys. Rev. Lett. 68, 2023 (1993)

    Article  ADS  Google Scholar 

  32. K. Sakoda: Optical Properties of Photonic Crystals (Springer Berlin Heidelberg New York 2001) pp 43–80

    Google Scholar 

  33. T. Inui, Y. Tanabe and Y. Onodera: Group Theory and Its Applications in Physics ( Springer, Berlin Heidelberg New York 1990 ) pp 234–290

    MATH  Google Scholar 

  34. H. Miyazaki and K. Ohtaka: Phys. Rev. B 58, 6920 (1998)

    Article  ADS  Google Scholar 

  35. J. M. Ziman Theory of Solids ( Cambridge University Press, Cambridge, 1999 ) pp 157–163

    Google Scholar 

  36. K. Ohtaka, et al., Phys. Rev. B 61, 5267 (2000)

    Article  ADS  Google Scholar 

  37. K. Ohtaka: J. Lightwave Tech. 17, 2161 (1999)

    Article  ADS  Google Scholar 

  38. S. Y. Tong: Progr. Surf. Sci. 7, 1 (1975)

    Article  ADS  Google Scholar 

  39. K. Ohtaka and Y. Tanabe: J. Phys. Soc. Jpn. 65, 2276 (1996)

    Article  ADS  Google Scholar 

  40. K. Sakoda and K. Ohtaka: Phys. Rev. B 54, 5732 (1996)

    Article  ADS  Google Scholar 

  41. J. Callaway: Quantum Theory of the Solid State, Part B ( Academic Press, New York London 1974 ) pp 371–464

    Book  Google Scholar 

  42. K. Sakoda: Optical Properties of Photonic Crystals (Springer Berlin Heidelberg New York 2001) pp 125–150

    Google Scholar 

  43. X.-P. Feng and Y. Arakawa: Jpn. J. Appl. Phys. 36, L120 (1997)

    Article  ADS  Google Scholar 

  44. K. Amemiya and K. Ohtaka: J. Phys. Soc. Jpn. 72, 1244 (2003)

    Article  ADS  Google Scholar 

  45. V. Lousse, J.-P. Vigneron, X. Bouju, J.-M. Vigoureux: Phys. Rev. B 64, 201–104 (2001)

    Article  Google Scholar 

  46. M. Inoue and K. Ohtaka: Phys. Rev. B 26, 3487 (1982)

    Article  ADS  Google Scholar 

  47. K. Sakoda and K. Ohtaka: Phys. Rev. B 54, 5742 (1996)

    Article  ADS  Google Scholar 

  48. Y. Dumeige, I. Sagnes, P. Monnier, P. Vidakovic, I. Abram, C. Mériadec and A. Levenson: Phys. Rev. Lett. 22, 043901–1 (2002)

    Article  Google Scholar 

  49. K. Ohtaka, T. Ueta and Y. Tanabe: J. Phys. Soc. Jpn. 65, 3068 (1996)

    Article  ADS  Google Scholar 

  50. M. Born and E. Wolf: Principles of Optics ( Pergamon Press, Oxford London 1975 ) p 705

    Google Scholar 

  51. L. M. Brekhovskikh: Waves in Layered Media ( Academic, London, 1960 ) p 79

    Google Scholar 

  52. L. D. Landau, E. M. Lifshitz abd L. P. Pitaevskii: Electrodynamics of Continuous Media ( Pergamon Press, Oxford, London, 1984 ) pp 268

    Google Scholar 

  53. A. Yariv: Quantum Electronics 3rd ed. ( John Wiley and Sons, New york, 1989 ) pp 87–105

    Google Scholar 

  54. H. Kosaka, T. Kawashima, A. Tomita, M. Notomi, T. Tamamura, T. Sato and S. Kawakami: Phys. Rev. B 58, R10096 (1998)

    Article  ADS  Google Scholar 

  55. M. Notomi: Phys. Rev. B 62, 10696 (2000)

    Article  ADS  Google Scholar 

  56. C. Luo, S. G. Johnson and J. D. Joannopoulos: Phys. Rev. B 68, 045115 (2003) and the references therein

    Google Scholar 

  57. M. C. Netti, A. Harris, J. J. Baumberg, D. M. Whittaker, M. B. D. Charlton, M. E. Zoorob and G. J. Parker: Phys. Rev. Lett. 81, 3927 (2001)

    Google Scholar 

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Ohtaka, K. (2004). Theory II: Advanced Topics of Photonic Crystals. In: Inoue, K., Ohtaka, K. (eds) Photonic Crystals. Springer Series in OPTICAL SCIENCES, vol 94. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-40032-5_4

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  • DOI: https://doi.org/10.1007/978-3-540-40032-5_4

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-05816-5

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