Applied Physics B

, 83:595 | Cite as

Simultaneous complete elastic and electromagnetic band gaps in periodic structures



We study elastic and electromagnetic properties in periodic structures and present “deaf and blind” structures, i.e. materials having simultaneous complete phononic and photonic band gaps, that is, transverse electric (TE) and transverse magnetic (TM) electromagnetic waves, pure shear elastic waves, and mixed shear and dilatation elastic waves, cannot propagate within these structures. These composite materials can control the flow of light and sound at the same time. The existence of complete gaps for electromagnetic and elastic waves can lead to the simultaneous localization of light and sound, a novel phenomena that can have strong influence on photon–phonon interactions. We study the dependence of the simultaneous and complete gaps on material parameters to provide design guidelines on how to create these photonic–phononic crystals.


  1. 1.
    E. Yablonovitch, Phys. Rev. Lett. 58, 2059 (1987)CrossRefPubMedADSGoogle Scholar
  2. 2.
    M.M. Sigalas, E.N. Economou, J. Sound Vib. 158, 377 (1992)CrossRefADSGoogle Scholar
  3. 3.
    M.S. Kushwaha, P. Halevi, L. Dobrzynski, B. Djafari-Rouhani, Phys. Rev. Lett. 71, 2022 (1993)CrossRefADSGoogle Scholar
  4. 4.
    J.D. Joannopoulos, R.D. Meade, J.N. Winn, Photonic Crystals (Princeton University Press, New Jersey, 1995)MATHGoogle Scholar
  5. 5.
    J.O. Vasseur, B. Djafari-Rouhani, L. Dobrzynski, M.S. Kushwaha, P. Halevi, J. Phys.: Condens. Matter. 6, 8759 (1994)CrossRefADSGoogle Scholar
  6. 6.
    M.S. Kushwaha, P. Halevi, G. Martínez, L. Dobrzynski, B. Djafari-Rouhani, Phys. Rev. B 49, 2313 (1994)CrossRefADSGoogle Scholar
  7. 7.
    M.M. Sigalas, E.N. Economou, J. Appl. Phys. 75, 2845 (1994)CrossRefADSGoogle Scholar
  8. 8.
    M.M. Sigalas, J. Acoust. Soc. Am. 101, 1256 (1997)CrossRefADSGoogle Scholar
  9. 9.
    O. Sigmund, J.S. Jensen, Philos. Trans. R. Soc. London A 361, 1001 (2003)MATHCrossRefMathSciNetADSGoogle Scholar
  10. 10.
    M.M. Sigalas, E.N. Economou, Europhys. Lett. 36, 241 (1996)CrossRefADSGoogle Scholar
  11. 11.
    M.S. Kushwaha, Appl. Phys. Lett. 70, 3218 (1997)CrossRefADSGoogle Scholar
  12. 12.
    M.M. Sigalas, J. Appl. Phys. 84, 3026 (1998)CrossRefADSGoogle Scholar
  13. 13.
    M.S. Kushwaha, B. Djafari-Rouhani, J. Sound Vib. 218, 697 (1998)CrossRefADSGoogle Scholar
  14. 14.
    C. Rubio, D. Caballero, J.V. Sanchez-Perez, R. Martinez-Sala, J. Sanchez-Dehesa, F. Meseguer, F. Cervera, J. Lightwave Technol. 17, 2202 (1999)CrossRefADSGoogle Scholar
  15. 15.
    Y. Tanaka, Y. Tomoyasu, S. Tamura, Phys. Rev. B 62, 7387 (2000)CrossRefADSGoogle Scholar
  16. 16.
    P.R. Villeneuve, M. Piche, Phys. Rev. B 46, 4969 (1992)CrossRefADSGoogle Scholar
  17. 17.
    J.N. Winn, R.D. Meade, J.D. Joannopoulos, J. Mod. Opt. 41, 257 (1994)CrossRefADSGoogle Scholar
  18. 18.
    C.M. Anderson, K.P. Giapis, Phys. Rev. Lett. 77, 2949 (1996)CrossRefADSGoogle Scholar
  19. 19.
    A. Birner A, R.B. Wehrspohn, U.M. Gosele, K. Busch, Adv. Mater. 13, 377 (2001)CrossRefGoogle Scholar
  20. 20.
    H.W. Tan, H.M. van Driel, S.L. Schweizer, R.B. Wehrspohn, Phys. Rev. B 72, 165115 (2005)CrossRefADSGoogle Scholar
  21. 21.
    M. Maldovan, E.L. Thomas, Nature Mater. 3, 593 (2004)CrossRefADSGoogle Scholar
  22. 22.
    M. Maldovan, E.L. Thomas, J. Opt. Soc. Am. B 22, 466 (2005)CrossRefADSGoogle Scholar
  23. 23.
    H.S. Sozuer, J.W. Haus, R. Inguva, Phys. Rev. B 45, 13962 (1992)CrossRefADSGoogle Scholar
  24. 24.
    M. Maldovan, C.K. Ullal, W.C. Carter, E.L. Thomas, Nature Mater. 2, 664 (2003)CrossRefADSGoogle Scholar
  25. 25.
    V. Karathanos, A. Modinos, N. Stefanou, J. Phys.: Condens. Matter 6, 6257 (1994)CrossRefADSGoogle Scholar
  26. 26.
    M. Kafesaki, E.N. Economou, Phys. Rev. B 60, 11993 (1999)CrossRefADSGoogle Scholar
  27. 27.
    M. Kafesaki, M.M. Sigalas, E.N. Economou, Solid State Commun. 96, 285 (1995)CrossRefADSGoogle Scholar
  28. 28.
    R. Sainidou, N. Stefanou, Phys. Rev. B 66, 212301 (2002)CrossRefADSGoogle Scholar

Copyright information

© Springer-Verlag 2006

Authors and Affiliations

  1. 1.Department of Materials Science and Engineering, Institute for Soldier NanotechnologiesMassachusetts Institute of TechnologyCambridgeUSA

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