OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 13 — Jun. 21, 2010
  • pp: 14301–14310

Simultaneous existence of phononic and photonic band gaps in periodic crystal slabs

Y. Pennec, B. Djafari Rouhani, E. H. El Boudouti, C. Li, Y. El Hassouani, J. O. Vasseur, N. Papanikolaou, S. Benchabane, V. Laude, and A. Martinez  »View Author Affiliations


Optics Express, Vol. 18, Issue 13, pp. 14301-14310 (2010)
http://dx.doi.org/10.1364/OE.18.014301


View Full Text Article

Enhanced HTML    Acrobat PDF (3053 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We discuss the simultaneous existence of phononic and photonic band gaps in a periodic array of holes drilled in a Si membrane. We investigate in detail both the centered square lattice and the boron nitride (BN) lattice with two atoms per unit cell which include the simple square, triangular and honeycomb lattices as particular cases. We show that complete phononic and photonic band gaps can be obtained from the honeycomb lattice as well as BN lattices close to honeycomb. Otherwise, all investigated structures present the possibility of a complete phononic gap together with a photonic band gap of a given symmetry, odd or even, depending on the geometrical parameters.

© 2010 OSA

OCIS Codes
(130.0130) Integrated optics : Integrated optics
(130.3120) Integrated optics : Integrated optics devices
(230.0230) Optical devices : Optical devices
(230.1040) Optical devices : Acousto-optical devices
(230.5298) Optical devices : Photonic crystals

ToC Category:
Photonic Crystals

History
Original Manuscript: April 1, 2010
Revised Manuscript: May 13, 2010
Manuscript Accepted: May 15, 2010
Published: June 18, 2010

Citation
Y. Pennec, B. Djafari Rouhani, E. H. El Boudouti, C. Li, Y. El Hassouani, J. O. Vasseur, N. Papanikolaou, S. Benchabane, V. Laude, and A. Martinez, "Simultaneous existence of phononic and photonic band gaps in periodic crystal slabs," Opt. Express 18, 14301-14310 (2010)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-18-13-14301


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. M. S. Kushwaha, P. Halevi, L. Dobrzynski, and B. Djafari-Rouhani, “Acoustic band structure of periodic elastic composites,” Phys. Rev. Lett. 71(13), 2022–2025 (1993). [CrossRef] [PubMed]
  2. M. M. Sigalas and E. N. Economou, “Band structure of elastic waves in two dimensional systems,” Solid State Commun. 86(3), 141–143 (1993). [CrossRef]
  3. For a comprehensive list of references on phononic crystals, see the phononic database at http://www.univ-lehavre.fr/recherche/lomc/phonon/PhononicDatabase1.html .
  4. Y. Pennec, B. Djafari-Rouhani, J. O. Vasseur, H. Larabi, A. Khelif, A. Choujaa, S. Benchabane, and V. Laude, “Acoustic channel drop tunneling in a phononic crystal,” Appl. Phys. Lett. 87(26), 261912 (2005). [CrossRef]
  5. Z. Liu, X. Zhang, Y. Mao, Y. Y. Zhu, Z. Yang, C. T. Chan, and P. Sheng, “Locally resonant sonic materials,” Science 289(5485), 1734–1736 (2000). [CrossRef] [PubMed]
  6. J. Bucay, E. Roussel, J. O. Vasseur, P. A. Deymier, A.-C. Hladky-Hennion, Y. Pennec, K. Muralidharan, B. Djafari-Rouhani, and B. Dubus, “Positive, negative, zero refraction, and beam splitting in a solid/air phononic crystal: Theoretical and experimental study,” Phys. Rev. B 79(21), 214305 (2009). [CrossRef]
  7. L. Fok, M. Ambati, and Z. Xiang, “Acoustic Metamaterials,” MRS Bull. 33, 931 (2008). [CrossRef]
  8. J. C. Hsu and T. T. Wu, “Efficient formulation for band-structure calculations of two-dimensional phononic-crystal plates,” Phys. Rev. B 74(14), 144303 (2006). [CrossRef]
  9. A. Khelif, B. Aoubiza, S. Mohammadi, A. Adibi, and V. Laude, “Complete band gaps in two-dimensional phononic crystal slabs,” Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 74(4), 046610 (2006). [CrossRef] [PubMed]
  10. J. O. Vasseur, P. A. Deymier, B. Djafari-Rouhani, and Y. Pennec, “Absolute band gaps in two-dimensional phononic crystal plates,” in Proceeding of IMECE 2006, ASME International Mechanical Engineering Congress and Exhibition, Chicago, Illinois, (5–10 Nov. 2006), pp13353.
  11. C. Charles, B. Bonello, and F. Ganot, “Propagation of guided elastic waves in 2D phononic crystals,” Ultrasonics 44, e1209 (2006). [CrossRef] [PubMed]
  12. J. O. Vasseur, P. A. Deymier, B. Djafari-Rouhani, Y. Pennec, and A. C. Hladky-Hennion, “Absolute forbidden bands and waveguiding in two-dimensional phononic crystal plates,” Phys. Rev. B 77(8), 085415 (2008). [CrossRef]
  13. Y. Pennec, B. Djafari-Rouhani, H. Larabi, J. O. Vasseur, and A. C. Hladky-Hennion, “Low-frequency gaps in a phononic crystal constituted of cylindrical dots deposited on a thin homogeneous plate,” Phys. Rev. B 78(10), 104105 (2008). [CrossRef]
  14. T. T. Wu, Z. G. Huang, T.-C. Tsai, and T. C. Wu, “Evidence of complete band gap and resonances in a plate with periodic stubbed surface,” Appl. Phys. Lett. 93(11), 111902 (2008). [CrossRef]
  15. E. Yablonovitch, “Photonic band-gap structures,” J. Opt. Soc. Am. B 10(2), 283 (1993). [CrossRef]
  16. S. Fan, P. Villeneuve, J. Joannopoulos, and H. Haus, “Channel drop filters in photonic crystals,” Opt. Express 3(1), 4–11 (1998). [CrossRef] [PubMed]
  17. S. Shi, C. Chen, and D. W. Prather, “Plane-wave expansion method for calculating band structure of photonic crystal slabs with perfectly matched layers,” J. Opt. Soc. Am. A 21(9), 1769 (2004). [CrossRef]
  18. S. G. Johnson, S. Fan, P. R. Villeneuve, J. Joannopoulos, and L. Kolodziejski, “Guided modes in photonic crystal slabs,” Phys. Rev. B 60(8), 5751–5758 (1999). [CrossRef]
  19. T.-I. Weng and G. Y. Guo, “Band structure of honeycomb photonic crystal slabs,” J. Appl. Phys. 99(9), 093102 (2006). [CrossRef]
  20. M. Trigo, A. Bruchhausen, A. Fainstein, B. Jusserand, and V. Thierry-Mieg, “Confinement of acoustical vibrations in a semiconductor planar phonon cavity,” Phys. Rev. Lett. 89(22), 227402 (2002). [CrossRef] [PubMed]
  21. P. Lacharmoise, A. Fainstein, B. Jusserand, and V. Thierry-Mieg, “Optical cavity enhancement of light–sound interaction in acoustic phonon cavities,” Appl. Phys. Lett. 84(17), 3274 (2004). [CrossRef]
  22. M. Maldovan and E. L. Thomas, “Simultaneous localization of photons and phonons in two-dimensional periodic structures,” Appl. Phys. Lett. 88(25), 251907 (2006). [CrossRef]
  23. M. Maldovan and E. L. Thomas, “Simultaneous complete elastic and electromagnetic band gaps in periodic structures,” Appl. Phys. B 83(4), 595–600 (2006). [CrossRef]
  24. S. Sadat-Saleh, S. Benchabane, F. I. Baida, M. P. Bernal, and V. Laude, “Tailoring simultaneous photonic and phononic band gaps,” J. Appl. Phys. 106(7), 074912 (2009). [CrossRef]
  25. S. Mohammadi, A. A. Eftekhar, and A. Adibi, “Large Simultaneous Band Gaps for Photonic and Phononic Crystal Slabs,” in Conference on Lasers and Electro-Optics/Quantum Electronics and Laser Science Conference and Photonic Applications Systems Technologies, p. CFY1 (Optical Society of America, 2008). http://www.opticsinfobase.org/abstract.cfm?URI=CLEO-2008-CFY1 .
  26. A. V. Akimov, Y. Tanaka, A. B. Pevtsov, S. F. Kaplan, V. G. Golubev, S. Tamura, D. R. Yakovlev, and M. Bayer, “Hypersonic modulation of light in three-dimensional photonic and phononic band-gap materials,” Phys. Rev. Lett. 101(3), 033902 (2008). [CrossRef] [PubMed]
  27. G. Gantzounis and N. Stefanou, “Layer-multiple-scattering method for photonic crystals of nonspherical particules,” Phys. Rev. B 73(3), 035115 (2006). [CrossRef]
  28. N. Stefanou, V. Yannopapas, and A. Modinos, “A new version of the program for transmission and band-structure calculations of photonic crystals,” Comput. Phys. Commun. 132(1-2), 189–196 (2000). [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article

OSA is a member of CrossRef.

CrossCheck Deposited