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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 18, Iss. 9 — Apr. 26, 2010
  • pp: 9164–9172

Simultaneous two-dimensional phononic and photonic band gaps in opto-mechanical crystal slabs

Saeed Mohammadi, Ali A. Eftekhar, Abdelkrim Khelif, and Ali Adibi  »View Author Affiliations

Optics Express, Vol. 18, Issue 9, pp. 9164-9172 (2010)

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We demonstrate planar structures that can provide simultaneous two-dimensional phononic and photonic band gaps in opto-mechanical (or phoxonic) crystal slabs. Different phoxonic crystal (PxC) structures, composed of square, hexagonal (honeycomb), or triangular arrays of void cylindrical holes embedded in silicon (Si) slabs with a finite thickness, are investigated. Photonic band gap (PtBG) maps and the complete phononic band gap (PnBG) maps of PxC slabs with different radii of the holes and thicknesses of the slabs are calculated using a three-dimensional plane wave expansion code. Simultaneous phononic and photonic band gaps with band gap to midgap ratios of more than 10% are shown to be readily obtainable with practical geometries in both square and hexagonal lattices, but not for the triangular lattice.

© 2010 OSA

OCIS Codes
(160.5293) Materials : Photonic bandgap materials
(050.5298) Diffraction and gratings : Photonic crystals
(120.4880) Instrumentation, measurement, and metrology : Optomechanics

ToC Category:
Photonic Crystals

Original Manuscript: February 9, 2010
Revised Manuscript: April 5, 2010
Manuscript Accepted: April 7, 2010
Published: April 16, 2010

Saeed Mohammadi, Ali A. Eftekhar, Abdelkrim Khelif, and Ali Adibi, "Simultaneous two-dimensional phononic and photonic band gaps in opto-mechanical crystal slabs," Opt. Express 18, 9164-9172 (2010)

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  1. E. Yablonovitch, T. Gmitter, and K. Leung, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett. 58(20), 2059–2062 (1987). [CrossRef] [PubMed]
  2. M. Loncar, D. Nedeljkovi, T. Doll, J. Vuckovic, A. Scherer, and T. P. Pearsall, “Waveguiding in planar photonic crystals,” Appl. Phys. Lett. 77(13), 1937–1939 (2000). [CrossRef]
  3. Y. Akahane, T. Asano, B. S. Song, and S. Noda, “High-Q photonic nanocavity in a two-dimensional photonic crystal,” Nature 425(6961), 944–947 (2003). [CrossRef] [PubMed]
  4. M. Koshiba, “Wavelength division multiplexing and demultiplexing with photonic crystal waveguide couplers,” J. Lightwave Technol. 19(12), 1970–1975 (2001). [CrossRef]
  5. M. M. Sigalas and E. N. Economou, “Elastic and Acoustic-Wave Band-Structure,” J. Sound Vibrat. 158(2), 377–382 (1992). [CrossRef]
  6. T. Carmon, H. Rokhsari, L. Yang, T. J. Kippenberg, and K. J. Vahala, “Temporal behavior of radiation-pressure-induced vibrations of an optical microcavity phonon mode,” Phys. Rev. Lett. 94(22), 223902 (2005). [CrossRef] [PubMed]
  7. M. Eichenfield, R. Camacho, J. Chan, K. J. Vahala, and O. Painter, “A picogram- and nanometre-scale photonic-crystal optomechanical cavity,” Nature 459(7246), 550–555 (2009). [CrossRef] [PubMed]
  8. 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), 033902–033905 (2008). [CrossRef] [PubMed]
  9. P. Dainese, P. S. J. Russell, N. Joly, J. C. Knight, G. S. Wiederhecker, H. L. Fragnito, V. Laude, and A. Khelif, “Stimulated Brillouin scattering from multi-GHz-guided acoustic phonons in nanostructured photonic crystal fibres,” Nat. Phys. 2(6), 388–392 (2006). [CrossRef]
  10. 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]
  11. 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]
  12. 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]
  13. 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]
  14. S. Mohammadi, A. A. Eftekhar, A. Khelif, H. Moubchir, R. Westafer, W. D. Hunt, and A. Adibi, “Complete phononic bandgaps and bandgap maps in two-dimensional silicon phononic crystal plates,” Electron. Lett. 43(16), 898–899 (2007). [CrossRef]
  15. S. Mohammadi, A. A. Eftekhar, A. Khelif, W. D. Hunt, and A. Adibi, “Evidence of large high frequency complete phononic band gaps in silicon phononic crystal plates,” Appl. Phys. Lett. 92(22), 221905 (2008). [CrossRef]
  16. S. Mohammadi, A. A. Eftekhar, W. D. Hunt, and A. Adibi, “Demonstration of large complete phononic band gaps and waveguiding in high-frequency silicon phononic crystal slabs,” in Proceedings of 2008 IEEE International Frequency Control Symposium, 2008 IEEE International Frequency Control Symposium, FCS (IEEE, 2008), 768–772.
  17. R. H. Olsson, I. F. El-Kady, M. F. Su, M. R. Tuck, and J. G. Fleming, “Microfabricated VHF acoustic crystals and waveguides,” Sens. Actuators A Phys. 145-146, 87–93 (2008). [CrossRef]
  18. S. Mohammadi, A. A. Eftekhar, W. D. Hunt, and A. Adibi, “High-Q micromechanical resonators in a two-dimensional phononic crystal slab,” Appl. Phys. Lett . 94, 051906–1 (2009).
  19. K. M. Ho, C. T. Chan, and C. M. Soukoulis, “Existence of a photonic gap in periodic dielectric structures,” Phys. Rev. Lett. 65(25), 3152–3155 (1990). [CrossRef] [PubMed]
  20. M. Kushwaha, P. Halevi, G. Martinez, L. Dobrzynski, and B. Djafari-Rouhani, “Theory of acoustic band structure of periodic elastic composites,” Phys. Rev. B 49(4), 2313–2322 (1994). [CrossRef]
  21. S. G. Johnson, S. H. Fan, P. R. Villeneuve, J. D. Joannopoulos, and L. A. Kolodziejski, “Guided modes in photonic crystal slabs,” Phys. Rev. B 60(8), 5751–5758 (1999). [CrossRef]
  22. W. Axmann and P. Kuchment, “An efficient finite element method for computing spectra of photonic and acoustic band-gap materials I. Scalar case,” J. Comput. Phys. 150(2), 468–481 (1999). [CrossRef]
  23. L. Andreani and M. Agio, “Photonic bands and gap maps in a photonic crystal slab,” IEEE J. Quantum Electron. 38(7), 891–898 (2002). [CrossRef]

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