Photonic Band Structures

  • J. W. Haus
Chapter
Part of the NATO ASI Series book series (NSSE, volume 314)

Abstract

The zero point energy associated with each mode of the electromagnetic spectrum is the source of quantum fluctuations that have physically measurable effects; this field of research has been called quantum electrodynamics. The origins of quantum electrodynamics is traced to the early contributions of Planck and Einstein on Blackbody radiation, but modern developments have clarified the role that vacuum fluctuations play in the atomic and molecular phenomena[1, 2]. The topic of this school attests to the significance of the field and its continued growth and evolution. It has not remained only a laboratory curiosity, but like its historic beginnings, it continues to find technological applications.

Keywords

Dielectric Function Stop Band Reciprocal Lattice Vector Face Centered Cubic Scalar Wave Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    P. Milonni, The Quantum Vacuum:An Introduction to Quantum Electrodynamics, (Academic Press, Boston, 1994).Google Scholar
  2. [2]
    P. R. Berman, Cavity Quantum Electrodynamics, (Academic Press, Boston, 1994).Google Scholar
  3. [3]
    E. M. Purcell, Phys. Rev. 69, 681 (1946).CrossRefGoogle Scholar
  4. [4]
    S. John, Phys. Rev. Lett. 58, 2486 (1987).ADSCrossRefGoogle Scholar
  5. [5]
    E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987).ADSCrossRefGoogle Scholar
  6. [6]a
    E. Yablonovitch, J. Opt. Soc. Am. B10 , 283 (1993); J. Mod. Opt. 41 , 185 (1994); Google Scholar
  7. [6]b
    J. W. Haus, J. Mod. Opt. 41 , 195 (1994); P. St. J. Russell, Physics World, p. 37 (August, 1992).ADSCrossRefGoogle Scholar
  8. [7]
    G. Kuritzki and J. W. Haus, Eds., J. Mod. Opt. 41, Issue No. 2 (1994); C.M. Bowden, J. D. Dowling and H. Everitt J. Opt. Soc. Am. B10 , issue No. 2 (1993).Google Scholar
  9. [8]
    J. D. Joannopoulosi, R. D. Meade and J.N. Winn, Photonic Crystals (Princeton Univ. Press, NJ, 1995).Google Scholar
  10. [9]
    L. Brillouin, Wave Propagation in Periodic Structures (Wiley, NY, 1946).MATHGoogle Scholar
  11. [10]
    A. Yariv and P. Yeh , Optical Waves in Layered Media (Wiley, NY, 1988).Google Scholar
  12. [11]
    J. Dowling and C.M. Bowden , Phys. Rev. A 46 , 612 (1992).ADSCrossRefGoogle Scholar
  13. [12]
    J. Dowling and C.M. Bowden , J. Opt. Soc. Am. B 10 , 353 (1993).ADSCrossRefGoogle Scholar
  14. [13]
    M. Plihal and A.A. Maradudin Phys. Rev. B 44 , 8565 (1991).ADSCrossRefGoogle Scholar
  15. [14]
    M. Plihal, A. Shambrook, A.A. Maradudin andP. Sheng Opt. Comm. 80 , 199 (1991).ADSCrossRefGoogle Scholar
  16. [15]
    S. L. McCall, P. M. Platzman, R. Dalichaouch, D. Smith and S. Schultz Phy. Rev. Lett. 67 , 2017 (1991).ADSCrossRefGoogle Scholar
  17. [16]
    R.D. Meade, K. D. Brommer, A. M. Rappe and J. D. Joannopoulos Appl. Phys. Lett. 61 , 495 (1992).ADSCrossRefGoogle Scholar
  18. [17]
    A. A. Maradudin and A.R. McGurn J. Opt. Soc. Am. B 10 , 307 (1993).ADSCrossRefGoogle Scholar
  19. [18]
    T. K. Gaylord,G. N. Henderson and E. N. Glytsis J. Opt. Soc. Am. B 10 , 333 (1993).ADSCrossRefGoogle Scholar
  20. [19]
    N. W. Ashcroft and N.D. Mermin , Solid State Physics, (Holt Rinehart and Winston, 1976), Ch. 11.Google Scholar
  21. [20]
    H. S. Sozuer, J. W. Haus and R. Inguva , Phys. Rev. B 45 , 13962 (1992).ADSCrossRefGoogle Scholar
  22. [21]
    E. N. Economou and A. Zdetsis, Phys. Rev. B 40 , 1334 (1989).ADSCrossRefGoogle Scholar
  23. [22]
    S. Satpathy, Z. Zhang and M. R. Salehpour , Phys. Rev. Lett. 64 , 1239 (1990).ADSCrossRefGoogle Scholar
  24. [23]
    K. M. Leung and Y. F. Liu, Phys. Rev. B 41 , 10188 (1990).ADSCrossRefGoogle Scholar
  25. [24]
    W. Robertson, G. Arjavalingham, R. D. Meade, K. D. Brommer, A. M. Rappe and J. D. Joannopoulos , Phys. Rev. Lett. 68 , 2023 (1992).ADSCrossRefGoogle Scholar
  26. [25]
    W. Robertson, G. Arjavalingham, R. D. Meade, K. D. Brommer, A. M. Rappe and J. D. Joannopoulos, J. Opt. Soc. Am. B 10 , 322 (1993).ADSCrossRefGoogle Scholar
  27. [26]
    R. D. Meade, K. D. Brommer, A. M. Rappe and J. D. Joannopoulos , Appl Phys. Lett. 61 , 495 (1992).ADSCrossRefGoogle Scholar
  28. [27]a
    R. D. Meade et al., Phys. Rev. Lett., 67 , 3380 (1991); ADSCrossRefGoogle Scholar
  29. [27]b
    R. D. Meade et al., Phys. Rev. B, 44 , 10961 (1991).ADSCrossRefGoogle Scholar
  30. [28]
    K. Inoue, M. Wada, K. Sakoda, A. Yamanaka, M. Hayashi and J. W. Haus , Japanese Journal of Applied Physics 33 , L 1463-L 1465 (1994).ADSGoogle Scholar
  31. [29]
    D. Yarne , Rensselaer Polytechnic Institute, unpublished results (1995).Google Scholar
  32. [30]
    S. Datta, C.T. Chan, K.M. Ho and C.M. Soukoulis , Phys. Rev. B 46 , 10,650 (1992).Google Scholar
  33. [31]
    K. M. Leung and Y. F. Lin , Phys. Rev. Lett. 65 , 2646 (1990).ADSCrossRefGoogle Scholar
  34. [32]
    K. M. Ho, C. T. Chan and C. M. Soukoulis , Phys. Rev. Lett. 65 , 3152 (1990).ADSCrossRefGoogle Scholar
  35. [33]
    H. S. Sözüer and J. W. Haus , J. Opt. Soc. Am. B 10 , 296 (1993).ADSCrossRefGoogle Scholar
  36. [34]
    I. H. H. Zabel and D. Stroud , Phys. Rev. B 48 , 13962 (1992).Google Scholar
  37. [35]
    Z. Zhang and S. Satpathy , Phys. Rev. Lett. 65 , 2650 (1990).ADSCrossRefGoogle Scholar
  38. [36]
    C. T. Chan, K. M. Ho and C. M. Soukoulis , Europhys. Lett., 16 (6), pp. 563–568 (1991).ADSCrossRefGoogle Scholar
  39. [37]
    J. W. Haus, H. S. Sozuer and R. Inguva , J. Mod. Optics 39 , 1991 (1992).ADSCrossRefGoogle Scholar
  40. [38]
    E. Yablonovitch and T. J. Gmitter , Phys. Rev. Lett. 63 , 1950 (1989).ADSCrossRefGoogle Scholar
  41. [39]
    E. Yablonovitch, T. J. Gmitter and K. M. Leung , Phys. Rev. Lett. 67 , 2295 (1991).ADSCrossRefGoogle Scholar
  42. [40]
    E. Yablonovitch, T. J. Gmitter, R. D. Meade, A. M. Rappe, K. D. Brommer and J. D. Joannopoulos , Phys. Rev. Lett. 67 , 3380 (1991).ADSCrossRefGoogle Scholar
  43. [41]
    H. S. Sozuer, private communication.Google Scholar
  44. [42]a
    C. L. Adler and N. M. Lawandy , Phys. Rev. Lett. 66 , 2617 (1991); erratum,ADSCrossRefGoogle Scholar
  45. [42]b
    C. L. Adler and N. M. Lawandy , Phys. Rev. Lett 66 , 3321 (1991).ADSCrossRefGoogle Scholar
  46. [43]
    J. Martorell and N. M. Lawandy , Phys. Rev. Lett. 65 , 1877 (1990).ADSCrossRefGoogle Scholar
  47. [44]a
    J. B. Pendry , J. Mod. Opt. 41 , 208 (1994); ADSCrossRefGoogle Scholar
  48. [44]b
    J. B. Pendry and A. MacKinnon , Phys. Rev. Lett. 69 , 2772 (1992).ADSCrossRefGoogle Scholar
  49. [45]
    H. S. Sozuer and J. D. Dowling , J. Mod. Opt. 41 , 231 (1994).ADSCrossRefGoogle Scholar
  50. [46]
    K. M. Ho, C. T. Chan, C. M. Soukoulis, R. Biswas and M. Sigalas Sol. St. Commun. 89 , 413 (1994).ADSCrossRefGoogle Scholar
  51. [47]
    E. Ozbay, E. Michel, G. Tuttle, R. Biswas, M. Sigalas and K. M. Ho Appl. Phys. Lett., (1994).Google Scholar
  52. [48]
    M. Scalora and M. Crenshaw , Opt. Commun. 108, 191 (1994).ADSCrossRefGoogle Scholar
  53. [49]a
    R. Chiao, P. G. Kwiat and A. M. Steinberg , Physica B 175, 257 (1991); Google Scholar
  54. [49]b
    A. M. Steinberg, P. G. Kwiat and R. Y. Chaio , Phys. Rev. Lett. 71 , 708 (1993).ADSCrossRefGoogle Scholar
  55. [50]a
    M. Scalora, J. D. Dowling, A. S. Manka, C. M. Bowden and J. W. Haus , Pulse Propagation near Highly Reflecting Surfaces: Applications to Photonic Bandgap Structures and the Question of Superluminal Tunneling Times, Phys. Rev. A, in press (1995). D. Kleppner, Phy. Rev. Lett. 47 , 233 (1981); CrossRefGoogle Scholar
  56. [51]b
    R.G. Hulet, E. S. Hilfer and D. Kleppner , Phys. Rev. Lett. 20 , 2137 (1985); ADSCrossRefGoogle Scholar
  57. [51]c
    S. Haroche and D. Kleppner , Physics Today 42,24 (1989); ADSCrossRefGoogle Scholar
  58. [51]d
    F. De Martini, G. Innocenti, G. R. Jacobovitz and P. Mataloni , Phys. Rev. Lett. 59 , 2955 (1987); ADSCrossRefGoogle Scholar
  59. [51]e
    G. Björk et al., Phys. Rev. A44 , 669 (1991); ADSGoogle Scholar
  60. [51]f
    H. Yokoyama and S.D. Brorson, J. Appl. Phys. 66 , 4801 (1989); ADSCrossRefGoogle Scholar
  61. [51]g
    J. Martorell and N. M. Lawandy , Phys. Rev. Lett. 65 , 1877 (1990).ADSCrossRefGoogle Scholar
  62. [52]h
    M. Scalora, M. Tocci, M. J. Bloemer, C. M. Bowden and J. W. Haus , Appl. Phys. B 60, S57 (1995).Google Scholar
  63. [53]
    T. Suzuki and P. K. L. Yu , J. Opt. Soc. Am. B 12 , 576 (1995).Google Scholar
  64. [54]
    W. Chen and D. L. Mills, Phys. Rev. Lett. 58 , 160 (1987).ADSCrossRefGoogle Scholar
  65. [55]
    H. Gibbs , “Optical Bistability” (Academic Press, New York, 1985).Google Scholar
  66. [56]
    J. Kevorkian and J. D. Cole , “Perturbation Methods in Applied Mathematics,” (Springer Verlag, New York, 1981).MATHGoogle Scholar
  67. [57]
    J. E. Sipe and H. G. Winful , Opt. Lett. 13 , 132 (1988).ADSCrossRefGoogle Scholar
  68. [58]
    C. M. deSterke and J. E. Sipe , Opt. Lett. 14 , 754 (1989).CrossRefGoogle Scholar
  69. [59]
    C. M. deSterke and J. E. Sipe , Phys. Rev. A 38 , 5149 (1988).ADSCrossRefGoogle Scholar
  70. [60]
    C. M. deSterke and J. E. Sipe , Phys. Rev. A 39, 5163 (1989).ADSCrossRefGoogle Scholar
  71. [61]
    G. Bastard, J. A. Brum and R. Ferreira , Phys. Rev. B 38 , 10101 (1988). “Solid State Physics,”, Vol. 44, H. Ehrenreich and D. Turnbuil, eds., Academic Press, Boston, 1991, p. 229.CrossRefGoogle Scholar
  72. [62]
    N.F. Johnson and P.M. Hui , J. of Physics - Cond. Matter 5 , L355 (1993).ADSCrossRefGoogle Scholar
  73. [63]a
    A. G. Kalocsai and J. W. Haus , Opt. Commun. 97 , 239 (1993); ADSCrossRefGoogle Scholar
  74. [63]a
    A. G. Kalocsai and J. W. Haus Phys. Rev. A 49 , 574 (1994).ADSCrossRefGoogle Scholar
  75. [64]
    M. Scalora , Private Communication (1995).Google Scholar
  76. [65]a
    S. D. Sankey, D. F. Prelewitz and T. G. Brown , Appl. Phys. Lett. 60 , 1427 (1992); ADSCrossRefGoogle Scholar
  77. [65]b
    S. D. Sankey, D. F. Prelewitz, T. G. Brown and R. C. Tiberio, J. Appl. Phys. 73 , 7111 (1993); ADSCrossRefGoogle Scholar
  78. [65]c
    D. F. Prelewitz and T. G. Brown, J. Opt. Soc. Am. B 11 , 304 (1994).Google Scholar
  79. [66]a
    C. J. Herbert, W. S. Capinski and M. S. Malcuit , Opt. Lett. 15 , 1037 (1992).ADSCrossRefGoogle Scholar
  80. [66]b
    C. J. Herbert and M. S. Malcuit , Opt. Lett. 18 , 1783 (1993).ADSCrossRefGoogle Scholar

Copyright information

© Kluwer Academic Publishers 1996

Authors and Affiliations

  • J. W. Haus
    • 1
  1. 1.Rensselaer Polytechnic InstituteTroyUSA

Personalised recommendations