Abstract

Phoxonic crystal is a promising material for manipulating sound and light simultaneously. In this paper, we theoretically demonstrate the propagation of acoustic and optical waves along the truncated surface of a two-dimensional square-latticed phoxonic crystal. Further, a phoxonic crystal hetero-structure cavity is proposed, which can simultaneously confine surface acoustic and optical waves. The interface motion and photoelastic effects are taken into account in the acousto-optical coupling. The results show obvious shifts in eigenfrequencies of the photonic cavity modes induced by different phononic cavity modes. The symmetry of the phononic cavity modes plays a more important role in the single-phonon exchange process than in the case of the multi-phonon exchange. Under the same deformation, the frequency shift of the photonic transverse electric mode is larger than that of the transverse magnetic mode.

© 2014 Optical Society of America

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References

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    [Crossref]
  2. M. Eichenfield, J. Chan, R. M. Camacho, K. J. Vahala, and O. Painter, “Optomechanical crystals,” Nature 462(7269), 78–82 (2009).
    [Crossref] [PubMed]
  3. 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]
  4. S. Mohammadi, A. A. Eftekhar, A. Khelif, and A. Adibi, “Simultaneous two-dimensional phononic and photonic band gaps in opto-mechanical crystal slabs,” Opt. Express 18(9), 9164–9172 (2010).
    [Crossref] [PubMed]
  5. Y. El Hassouani, C. Li, Y. Pennec, E. H. El Boudouti, H. Larabi, A. Akjouj, O. Bou Matar, V. Laude, N. Papanikolaou, A. Martinez, and B. Djafari Rouhani, “Dual phononic and photonic band gaps in a periodic array of pillars deposited on a thin plate,” Phys. Rev. B 82(15), 155405 (2010).
    [Crossref]
  6. Y. Pennec, B. Djafari Rouhani, C. Li, J. M. Escalante, A. Martinez, S. Benchabane, V. Laude, and N. Papanikolaou, “Band gaps and cavity modes in dual phononic and photonic strip waveguides,” AIP Advances 1(4), 041901 (2011).
    [Crossref]
  7. T. X. Ma, Y. S. Wang, Y. F. Wang, and X. X. Su, “Three-dimensional dielectric phoxonic crystals with network topology,” Opt. Express 21(3), 2727–2732 (2013).
    [Crossref] [PubMed]
  8. T. X. Ma, Y. S. Wang, and Ch. Zhang, “Investigation of dual photonic and phononic bandgaps in two-dimensional phoxonic crystals with veins,” Opt. Commun. 312, 68–72 (2014).
    [Crossref]
  9. Q. Rolland, S. Dupont, J. Gazalet, J. C. Kastelik, Y. Pennec, B. Djafari-Rouhani, and V. Laude, “Simultaneous bandgaps in LiNbO3 phoxonic crystal slab,” Opt. Express 22(13), 16288–16297 (2014).
    [Crossref] [PubMed]
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  11. F. L. Hsiao, C. Y. Hsieh, H. Y. Hsieh, and C. C. Chiu, “High-efficiency acousto-optical interaction in phoxonic nanobeam waveguide,” Appl. Phys. Lett. 100(17), 171103 (2012).
    [Crossref]
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    [Crossref]
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    [Crossref]
  15. S. El-Jallal, M. Oudich, Y. Pennec, B. Djafari-Rouhani, A. Makhoute, Q. Rolland, S. Dupont, and J. Gazalet, “Optomechanical interactions in two-dimensional Si and GaAs phoXonic cavities,” J. Phys. Condens. Matter 26(1), 015005 (2014).
    [Crossref] [PubMed]
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    [Crossref]
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    [Crossref] [PubMed]
  18. J. Gomis-Bresco, D. Navarro-Urrios, M. Oudich, S. El-Jallal, A. Griol, D. Puerto, E. Chavez, Y. Pennec, B. Djafari-Rouhani, F. Alzina, A. Martínez, and C. M. Torres, “A one-dimensional optomechanical crystal with a complete phononic band gap,” Nat Commun 5, 4452 (2014).
    [Crossref] [PubMed]
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    [Crossref] [PubMed]
  20. S. Amoudache, Y. Pennec, B. Djafari Rouhani, A. Khater, R. Lucklum, and R. Tigrine, “Simultaneous sensing of light and sound velocities of fluids in a two-dimensional phoXonic crystal with defects,” J. Appl. Phys. 115(13), 134503 (2014).
    [Crossref]
  21. B. Manzanares-Martínez and F. Ramos-Mendieta, “Surface elastic waves in solid composites of two-dimensional periodicity,” Phys. Rev. B 68(13), 134303 (2003).
    [Crossref]
  22. T. T. Wu, Z. G. Huang, and S. Lin, “Surface and bulk acoustic waves in two-dimensional phononic crystal consisting of materials with general anisotropy,” Phys. Rev. B 69(9), 094301 (2004).
    [Crossref]
  23. J. H. Sun and T. T. Wu, “Propagation of surface acoustic waves through sharply bent two-dimensional phononic crystal waveguides using a finite-difference time-domain method,” Phys. Rev. B 74(17), 174305 (2006).
    [Crossref]
  24. D. Zhao, Z. Liu, C. Qiu, Z. He, F. Cai, and M. Ke, “Surface acoustic waves in two-dimensional phononic crystals: Dispersion relation and the eigenfield distribution of surface modes,” Phys. Rev. B 76(14), 144301 (2007).
    [Crossref]
  25. A. Khelif, Y. Achaoui, S. Benchabane, V. Laude, and B. Aoubiza, “Locally resonant surface acoustic wave band gaps in a two-dimensional phononic crystal of pillars on a surface,” Phys. Rev. B 81(21), 214303 (2010).
    [Crossref]
  26. M. B. Assouar and M. Oudich, “Dispersion curves of surface acoustic waves in a two-dimensional phononic crystal,” Appl. Phys. Lett. 99(12), 123505 (2011).
    [Crossref]
  27. Y. Li, Z. Hou, M. Oudich, and M. B. Assouar, “Analysis of surface acoustic wave propagation in a two-dimensional phononic crystal,” J. Appl. Phys. 112(2), 023524 (2012).
    [Crossref]
  28. T. T. Wu, L. C. Wu, and Z. G. Huang, “Frequency band-gap measurement of two-dimensional air/silicon phononic crystals using layered slanted finger interdigital transducers,” J. Appl. Phys. 97(9), 094916 (2005).
    [Crossref]
  29. D. M. Profunser, E. Muramoto, O. Matsuda, O. B. Wright, and U. Lang, “Dynamic visualization of surface acoustic waves on a two-dimensional phononic crystal,” Phys. Rev. B 80(1), 014301 (2009).
    [Crossref]
  30. S. Benchabane, O. Gaiffe, G. Ulliac, R. Salut, Y. Achaoui, and V. Laude, “Observation of surface-guided waves in holey hypersonic phononic crystal,” Appl. Phys. Lett. 98(17), 171908 (2011).
    [Crossref]
  31. Y. Achaoui, A. Khelif, S. Benchabane, L. Robert, and V. Laude, “Experimental observation of locally-resonant and Bragg band gaps for surface guided waves in a phononic crystal of pillars,” Phys. Rev. B 83(10), 104201 (2011).
    [Crossref]
  32. K. Ishizaki and S. Noda, “Manipulation of photons at the surface of three-dimensional photonic crystals,” Nature 460(7253), 367–370 (2009).
    [Crossref] [PubMed]
  33. A. I. Rahachou and I. V. Zozoulenko, “Waveguiding properties of surface states in photonic crystals,” J. Opt. Soc. Am. B 23(8), 1679–1683 (2006).
    [Crossref]
  34. P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gösele, and V. Sandoghdar, “Highly Directional Emission from Photonic Crystal Waveguides of Subwavelength Width,” Phys. Rev. Lett. 92(11), 113903 (2004).
    [Crossref] [PubMed]
  35. T. W. Lu, Y. H. Hsiao, W. D. Ho, and P. T. Lee, “High-index sensitivity of surface mode in photonic crystal hetero-slab-edge microcavity,” Opt. Lett. 35(9), 1452–1454 (2010).
    [Crossref] [PubMed]
  36. S. Y. Su, L. Tang, and T. Yoshie, “Optical surface Bloch modes of complete photonic bandgap materials as a basis of optical sensing,” Opt. Lett. 36(12), 2266–2268 (2011).
    [Crossref] [PubMed]
  37. B. S. Song, S. Noda, T. Asano, and Y. Akahane, “Ultra-high-Q photonic double-heterostructure nanocavity,” Nat. Mater. 4(3), 207–210 (2005).
    [Crossref]
  38. P. Seidler, K. Lister, U. Drechsler, J. Hofrichter, and T. Stöferle, “Slotted photonic crystal nanobeam cavity with an ultrahigh quality factor-to-mode volume ratio,” Opt. Express 21(26), 32468–32483 (2013).
    [Crossref] [PubMed]
  39. J. Zheng, X. Sun, Y. Li, M. Poot, A. Dadgar, N. N. Shi, W. H. P. Pernice, H. X. Tang, and C. W. Wong, “Femtogram dispersive L3-nanobeam optomechanical cavities: design and experimental comparison,” Opt. Express 20(24), 26486–26498 (2012).
    [Crossref] [PubMed]
  40. D. A. Fuhrmann, S. M. Thon, H. Kim, D. Bouwmeester, P. M. Petroff, A. Wixforth, and H. J. Krenner, “Dynamic modulation of photonic crystal nanocavities using gigahertz acoustic phonons,” Nat. Photonics 5(10), 605–609 (2011).
    [Crossref]
  41. J. C. Hsu, C. H. Lin, Y. C. Ku, and T. R. Lin, “Photonic band gaps induced by submicron acoustic plate waves in dielectric slab waveguides,” Opt. Lett. 38(20), 4050–4053 (2013).
    [Crossref] [PubMed]

2014 (7)

T. X. Ma, Y. S. Wang, and Ch. Zhang, “Investigation of dual photonic and phononic bandgaps in two-dimensional phoxonic crystals with veins,” Opt. Commun. 312, 68–72 (2014).
[Crossref]

Q. Rolland, S. Dupont, J. Gazalet, J. C. Kastelik, Y. Pennec, B. Djafari-Rouhani, and V. Laude, “Simultaneous bandgaps in LiNbO3 phoxonic crystal slab,” Opt. Express 22(13), 16288–16297 (2014).
[Crossref] [PubMed]

S. El-Jallal, M. Oudich, Y. Pennec, B. Djafari-Rouhani, A. Makhoute, Q. Rolland, S. Dupont, and J. Gazalet, “Optomechanical interactions in two-dimensional Si and GaAs phoXonic cavities,” J. Phys. Condens. Matter 26(1), 015005 (2014).
[Crossref] [PubMed]

M. Oudich, S. El-Jallal, Y. Pennec, B. Djafari-Rouhani, J. Gomis-Bresco, D. Navarro-Urrios, C. M. S. Torres, A. Martínez, and A. Makhoute, “Optomechanic interaction in a corrugated phoxonic nanobeam cavity,” Phys. Rev. B 89(24), 245122 (2014).
[Crossref]

A. H. Safavi-Naeini, J. T. Hill, S. Meenehan, J. Chan, S. Gröblacher, and O. Painter, “Two-dimensional phononic-photonic band gap optomechanical crystal cavity,” Phys. Rev. Lett. 112(15), 153603 (2014).
[Crossref] [PubMed]

J. Gomis-Bresco, D. Navarro-Urrios, M. Oudich, S. El-Jallal, A. Griol, D. Puerto, E. Chavez, Y. Pennec, B. Djafari-Rouhani, F. Alzina, A. Martínez, and C. M. Torres, “A one-dimensional optomechanical crystal with a complete phononic band gap,” Nat Commun 5, 4452 (2014).
[Crossref] [PubMed]

S. Amoudache, Y. Pennec, B. Djafari Rouhani, A. Khater, R. Lucklum, and R. Tigrine, “Simultaneous sensing of light and sound velocities of fluids in a two-dimensional phoXonic crystal with defects,” J. Appl. Phys. 115(13), 134503 (2014).
[Crossref]

2013 (6)

R. Lucklum, M. Zubtsov, and A. Oseev, “Phoxonic crystals-a new platform for chemical and biochemical sensors,” Anal. Bioanal. Chem. 405(20), 6497–6509 (2013).
[Crossref] [PubMed]

T. R. Lin, C. H. Lin, and J. C. Hsu, “Enhanced acousto-optic interaction in two-dimensional phoxonic crystals with a line defect,” J. Appl. Phys. 113(5), 053508 (2013).
[Crossref]

S. El-Jallal, M. Oudich, Y. Pennec, B. Djafari-Rouhani, V. Laude, J. C. Beugnot, A. Martínez, J. M. Escalante, and A. Makhoute, “Analysis of optomechanical coupling in two-dimensional square lattice phoxonic crystal slab cavities,” Phys. Rev. B 88(20), 205410 (2013).
[Crossref]

T. X. Ma, Y. S. Wang, Y. F. Wang, and X. X. Su, “Three-dimensional dielectric phoxonic crystals with network topology,” Opt. Express 21(3), 2727–2732 (2013).
[Crossref] [PubMed]

P. Seidler, K. Lister, U. Drechsler, J. Hofrichter, and T. Stöferle, “Slotted photonic crystal nanobeam cavity with an ultrahigh quality factor-to-mode volume ratio,” Opt. Express 21(26), 32468–32483 (2013).
[Crossref] [PubMed]

J. C. Hsu, C. H. Lin, Y. C. Ku, and T. R. Lin, “Photonic band gaps induced by submicron acoustic plate waves in dielectric slab waveguides,” Opt. Lett. 38(20), 4050–4053 (2013).
[Crossref] [PubMed]

2012 (4)

J. Zheng, X. Sun, Y. Li, M. Poot, A. Dadgar, N. N. Shi, W. H. P. Pernice, H. X. Tang, and C. W. Wong, “Femtogram dispersive L3-nanobeam optomechanical cavities: design and experimental comparison,” Opt. Express 20(24), 26486–26498 (2012).
[Crossref] [PubMed]

F. L. Hsiao, C. Y. Hsieh, H. Y. Hsieh, and C. C. Chiu, “High-efficiency acousto-optical interaction in phoxonic nanobeam waveguide,” Appl. Phys. Lett. 100(17), 171103 (2012).
[Crossref]

Q. Rolland, M. Oudich, S. El-Jallal, S. Dupont, Y. Pennec, J. Gazalet, J. C. Kastelik, G. Lévêque, and B. Djafari-Rouhani, “Acousto-optic couplings in two-dimensional phoxonic crystal cavities,” Appl. Phys. Lett. 101(6), 061109 (2012).
[Crossref]

Y. Li, Z. Hou, M. Oudich, and M. B. Assouar, “Analysis of surface acoustic wave propagation in a two-dimensional phononic crystal,” J. Appl. Phys. 112(2), 023524 (2012).
[Crossref]

2011 (6)

S. Benchabane, O. Gaiffe, G. Ulliac, R. Salut, Y. Achaoui, and V. Laude, “Observation of surface-guided waves in holey hypersonic phononic crystal,” Appl. Phys. Lett. 98(17), 171908 (2011).
[Crossref]

Y. Achaoui, A. Khelif, S. Benchabane, L. Robert, and V. Laude, “Experimental observation of locally-resonant and Bragg band gaps for surface guided waves in a phononic crystal of pillars,” Phys. Rev. B 83(10), 104201 (2011).
[Crossref]

M. B. Assouar and M. Oudich, “Dispersion curves of surface acoustic waves in a two-dimensional phononic crystal,” Appl. Phys. Lett. 99(12), 123505 (2011).
[Crossref]

S. Y. Su, L. Tang, and T. Yoshie, “Optical surface Bloch modes of complete photonic bandgap materials as a basis of optical sensing,” Opt. Lett. 36(12), 2266–2268 (2011).
[Crossref] [PubMed]

Y. Pennec, B. Djafari Rouhani, C. Li, J. M. Escalante, A. Martinez, S. Benchabane, V. Laude, and N. Papanikolaou, “Band gaps and cavity modes in dual phononic and photonic strip waveguides,” AIP Advances 1(4), 041901 (2011).
[Crossref]

D. A. Fuhrmann, S. M. Thon, H. Kim, D. Bouwmeester, P. M. Petroff, A. Wixforth, and H. J. Krenner, “Dynamic modulation of photonic crystal nanocavities using gigahertz acoustic phonons,” Nat. Photonics 5(10), 605–609 (2011).
[Crossref]

2010 (4)

T. W. Lu, Y. H. Hsiao, W. D. Ho, and P. T. Lee, “High-index sensitivity of surface mode in photonic crystal hetero-slab-edge microcavity,” Opt. Lett. 35(9), 1452–1454 (2010).
[Crossref] [PubMed]

S. Mohammadi, A. A. Eftekhar, A. Khelif, and A. Adibi, “Simultaneous two-dimensional phononic and photonic band gaps in opto-mechanical crystal slabs,” Opt. Express 18(9), 9164–9172 (2010).
[Crossref] [PubMed]

Y. El Hassouani, C. Li, Y. Pennec, E. H. El Boudouti, H. Larabi, A. Akjouj, O. Bou Matar, V. Laude, N. Papanikolaou, A. Martinez, and B. Djafari Rouhani, “Dual phononic and photonic band gaps in a periodic array of pillars deposited on a thin plate,” Phys. Rev. B 82(15), 155405 (2010).
[Crossref]

A. Khelif, Y. Achaoui, S. Benchabane, V. Laude, and B. Aoubiza, “Locally resonant surface acoustic wave band gaps in a two-dimensional phononic crystal of pillars on a surface,” Phys. Rev. B 81(21), 214303 (2010).
[Crossref]

2009 (5)

D. M. Profunser, E. Muramoto, O. Matsuda, O. B. Wright, and U. Lang, “Dynamic visualization of surface acoustic waves on a two-dimensional phononic crystal,” Phys. Rev. B 80(1), 014301 (2009).
[Crossref]

K. Ishizaki and S. Noda, “Manipulation of photons at the surface of three-dimensional photonic crystals,” Nature 460(7253), 367–370 (2009).
[Crossref] [PubMed]

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]

M. Eichenfield, J. Chan, R. M. Camacho, K. J. Vahala, and O. Painter, “Optomechanical crystals,” Nature 462(7269), 78–82 (2009).
[Crossref] [PubMed]

I. E. Psarobas, N. Papanikolaou, N. Stefanou, B. Djafari-Rouhani, B. Bonello, and V. Laude, “Enhanced acousto-optic interactions in a one-dimensional phoxonic cavity,” Phys. Rev. B 82(17), 174303 (2009).
[Crossref]

2007 (1)

D. Zhao, Z. Liu, C. Qiu, Z. He, F. Cai, and M. Ke, “Surface acoustic waves in two-dimensional phononic crystals: Dispersion relation and the eigenfield distribution of surface modes,” Phys. Rev. B 76(14), 144301 (2007).
[Crossref]

2006 (3)

J. H. Sun and T. T. Wu, “Propagation of surface acoustic waves through sharply bent two-dimensional phononic crystal waveguides using a finite-difference time-domain method,” Phys. Rev. B 74(17), 174305 (2006).
[Crossref]

A. I. Rahachou and I. V. Zozoulenko, “Waveguiding properties of surface states in photonic crystals,” J. Opt. Soc. Am. B 23(8), 1679–1683 (2006).
[Crossref]

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]

2005 (2)

B. S. Song, S. Noda, T. Asano, and Y. Akahane, “Ultra-high-Q photonic double-heterostructure nanocavity,” Nat. Mater. 4(3), 207–210 (2005).
[Crossref]

T. T. Wu, L. C. Wu, and Z. G. Huang, “Frequency band-gap measurement of two-dimensional air/silicon phononic crystals using layered slanted finger interdigital transducers,” J. Appl. Phys. 97(9), 094916 (2005).
[Crossref]

2004 (2)

T. T. Wu, Z. G. Huang, and S. Lin, “Surface and bulk acoustic waves in two-dimensional phononic crystal consisting of materials with general anisotropy,” Phys. Rev. B 69(9), 094301 (2004).
[Crossref]

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gösele, and V. Sandoghdar, “Highly Directional Emission from Photonic Crystal Waveguides of Subwavelength Width,” Phys. Rev. Lett. 92(11), 113903 (2004).
[Crossref] [PubMed]

2003 (1)

B. Manzanares-Martínez and F. Ramos-Mendieta, “Surface elastic waves in solid composites of two-dimensional periodicity,” Phys. Rev. B 68(13), 134303 (2003).
[Crossref]

Achaoui, Y.

S. Benchabane, O. Gaiffe, G. Ulliac, R. Salut, Y. Achaoui, and V. Laude, “Observation of surface-guided waves in holey hypersonic phononic crystal,” Appl. Phys. Lett. 98(17), 171908 (2011).
[Crossref]

Y. Achaoui, A. Khelif, S. Benchabane, L. Robert, and V. Laude, “Experimental observation of locally-resonant and Bragg band gaps for surface guided waves in a phononic crystal of pillars,” Phys. Rev. B 83(10), 104201 (2011).
[Crossref]

A. Khelif, Y. Achaoui, S. Benchabane, V. Laude, and B. Aoubiza, “Locally resonant surface acoustic wave band gaps in a two-dimensional phononic crystal of pillars on a surface,” Phys. Rev. B 81(21), 214303 (2010).
[Crossref]

Adibi, A.

Agio, M.

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gösele, and V. Sandoghdar, “Highly Directional Emission from Photonic Crystal Waveguides of Subwavelength Width,” Phys. Rev. Lett. 92(11), 113903 (2004).
[Crossref] [PubMed]

Akahane, Y.

B. S. Song, S. Noda, T. Asano, and Y. Akahane, “Ultra-high-Q photonic double-heterostructure nanocavity,” Nat. Mater. 4(3), 207–210 (2005).
[Crossref]

Akjouj, A.

Y. El Hassouani, C. Li, Y. Pennec, E. H. El Boudouti, H. Larabi, A. Akjouj, O. Bou Matar, V. Laude, N. Papanikolaou, A. Martinez, and B. Djafari Rouhani, “Dual phononic and photonic band gaps in a periodic array of pillars deposited on a thin plate,” Phys. Rev. B 82(15), 155405 (2010).
[Crossref]

Alzina, F.

J. Gomis-Bresco, D. Navarro-Urrios, M. Oudich, S. El-Jallal, A. Griol, D. Puerto, E. Chavez, Y. Pennec, B. Djafari-Rouhani, F. Alzina, A. Martínez, and C. M. Torres, “A one-dimensional optomechanical crystal with a complete phononic band gap,” Nat Commun 5, 4452 (2014).
[Crossref] [PubMed]

Amoudache, S.

S. Amoudache, Y. Pennec, B. Djafari Rouhani, A. Khater, R. Lucklum, and R. Tigrine, “Simultaneous sensing of light and sound velocities of fluids in a two-dimensional phoXonic crystal with defects,” J. Appl. Phys. 115(13), 134503 (2014).
[Crossref]

Aoubiza, B.

A. Khelif, Y. Achaoui, S. Benchabane, V. Laude, and B. Aoubiza, “Locally resonant surface acoustic wave band gaps in a two-dimensional phononic crystal of pillars on a surface,” Phys. Rev. B 81(21), 214303 (2010).
[Crossref]

Asano, T.

B. S. Song, S. Noda, T. Asano, and Y. Akahane, “Ultra-high-Q photonic double-heterostructure nanocavity,” Nat. Mater. 4(3), 207–210 (2005).
[Crossref]

Assouar, M. B.

Y. Li, Z. Hou, M. Oudich, and M. B. Assouar, “Analysis of surface acoustic wave propagation in a two-dimensional phononic crystal,” J. Appl. Phys. 112(2), 023524 (2012).
[Crossref]

M. B. Assouar and M. Oudich, “Dispersion curves of surface acoustic waves in a two-dimensional phononic crystal,” Appl. Phys. Lett. 99(12), 123505 (2011).
[Crossref]

Baida, F. I.

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).
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Y. Achaoui, A. Khelif, S. Benchabane, L. Robert, and V. Laude, “Experimental observation of locally-resonant and Bragg band gaps for surface guided waves in a phononic crystal of pillars,” Phys. Rev. B 83(10), 104201 (2011).
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S. Benchabane, O. Gaiffe, G. Ulliac, R. Salut, Y. Achaoui, and V. Laude, “Observation of surface-guided waves in holey hypersonic phononic crystal,” Appl. Phys. Lett. 98(17), 171908 (2011).
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Y. Pennec, B. Djafari Rouhani, C. Li, J. M. Escalante, A. Martinez, S. Benchabane, V. Laude, and N. Papanikolaou, “Band gaps and cavity modes in dual phononic and photonic strip waveguides,” AIP Advances 1(4), 041901 (2011).
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A. Khelif, Y. Achaoui, S. Benchabane, V. Laude, and B. Aoubiza, “Locally resonant surface acoustic wave band gaps in a two-dimensional phononic crystal of pillars on a surface,” Phys. Rev. B 81(21), 214303 (2010).
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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).
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Bernal, M. P.

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).
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Beugnot, J. C.

S. El-Jallal, M. Oudich, Y. Pennec, B. Djafari-Rouhani, V. Laude, J. C. Beugnot, A. Martínez, J. M. Escalante, and A. Makhoute, “Analysis of optomechanical coupling in two-dimensional square lattice phoxonic crystal slab cavities,” Phys. Rev. B 88(20), 205410 (2013).
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P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gösele, and V. Sandoghdar, “Highly Directional Emission from Photonic Crystal Waveguides of Subwavelength Width,” Phys. Rev. Lett. 92(11), 113903 (2004).
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I. E. Psarobas, N. Papanikolaou, N. Stefanou, B. Djafari-Rouhani, B. Bonello, and V. Laude, “Enhanced acousto-optic interactions in a one-dimensional phoxonic cavity,” Phys. Rev. B 82(17), 174303 (2009).
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Y. El Hassouani, C. Li, Y. Pennec, E. H. El Boudouti, H. Larabi, A. Akjouj, O. Bou Matar, V. Laude, N. Papanikolaou, A. Martinez, and B. Djafari Rouhani, “Dual phononic and photonic band gaps in a periodic array of pillars deposited on a thin plate,” Phys. Rev. B 82(15), 155405 (2010).
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D. A. Fuhrmann, S. M. Thon, H. Kim, D. Bouwmeester, P. M. Petroff, A. Wixforth, and H. J. Krenner, “Dynamic modulation of photonic crystal nanocavities using gigahertz acoustic phonons,” Nat. Photonics 5(10), 605–609 (2011).
[Crossref]

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D. Zhao, Z. Liu, C. Qiu, Z. He, F. Cai, and M. Ke, “Surface acoustic waves in two-dimensional phononic crystals: Dispersion relation and the eigenfield distribution of surface modes,” Phys. Rev. B 76(14), 144301 (2007).
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M. Eichenfield, J. Chan, R. M. Camacho, K. J. Vahala, and O. Painter, “Optomechanical crystals,” Nature 462(7269), 78–82 (2009).
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M. Eichenfield, J. Chan, R. M. Camacho, K. J. Vahala, and O. Painter, “Optomechanical crystals,” Nature 462(7269), 78–82 (2009).
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F. L. Hsiao, C. Y. Hsieh, H. Y. Hsieh, and C. C. Chiu, “High-efficiency acousto-optical interaction in phoxonic nanobeam waveguide,” Appl. Phys. Lett. 100(17), 171103 (2012).
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S. Amoudache, Y. Pennec, B. Djafari Rouhani, A. Khater, R. Lucklum, and R. Tigrine, “Simultaneous sensing of light and sound velocities of fluids in a two-dimensional phoXonic crystal with defects,” J. Appl. Phys. 115(13), 134503 (2014).
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Y. El Hassouani, C. Li, Y. Pennec, E. H. El Boudouti, H. Larabi, A. Akjouj, O. Bou Matar, V. Laude, N. Papanikolaou, A. Martinez, and B. Djafari Rouhani, “Dual phononic and photonic band gaps in a periodic array of pillars deposited on a thin plate,” Phys. Rev. B 82(15), 155405 (2010).
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J. Gomis-Bresco, D. Navarro-Urrios, M. Oudich, S. El-Jallal, A. Griol, D. Puerto, E. Chavez, Y. Pennec, B. Djafari-Rouhani, F. Alzina, A. Martínez, and C. M. Torres, “A one-dimensional optomechanical crystal with a complete phononic band gap,” Nat Commun 5, 4452 (2014).
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S. El-Jallal, M. Oudich, Y. Pennec, B. Djafari-Rouhani, A. Makhoute, Q. Rolland, S. Dupont, and J. Gazalet, “Optomechanical interactions in two-dimensional Si and GaAs phoXonic cavities,” J. Phys. Condens. Matter 26(1), 015005 (2014).
[Crossref] [PubMed]

Q. Rolland, S. Dupont, J. Gazalet, J. C. Kastelik, Y. Pennec, B. Djafari-Rouhani, and V. Laude, “Simultaneous bandgaps in LiNbO3 phoxonic crystal slab,” Opt. Express 22(13), 16288–16297 (2014).
[Crossref] [PubMed]

S. El-Jallal, M. Oudich, Y. Pennec, B. Djafari-Rouhani, V. Laude, J. C. Beugnot, A. Martínez, J. M. Escalante, and A. Makhoute, “Analysis of optomechanical coupling in two-dimensional square lattice phoxonic crystal slab cavities,” Phys. Rev. B 88(20), 205410 (2013).
[Crossref]

Q. Rolland, M. Oudich, S. El-Jallal, S. Dupont, Y. Pennec, J. Gazalet, J. C. Kastelik, G. Lévêque, and B. Djafari-Rouhani, “Acousto-optic couplings in two-dimensional phoxonic crystal cavities,” Appl. Phys. Lett. 101(6), 061109 (2012).
[Crossref]

I. E. Psarobas, N. Papanikolaou, N. Stefanou, B. Djafari-Rouhani, B. Bonello, and V. Laude, “Enhanced acousto-optic interactions in a one-dimensional phoxonic cavity,” Phys. Rev. B 82(17), 174303 (2009).
[Crossref]

Drechsler, U.

Dupont, S.

Q. Rolland, S. Dupont, J. Gazalet, J. C. Kastelik, Y. Pennec, B. Djafari-Rouhani, and V. Laude, “Simultaneous bandgaps in LiNbO3 phoxonic crystal slab,” Opt. Express 22(13), 16288–16297 (2014).
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S. El-Jallal, M. Oudich, Y. Pennec, B. Djafari-Rouhani, A. Makhoute, Q. Rolland, S. Dupont, and J. Gazalet, “Optomechanical interactions in two-dimensional Si and GaAs phoXonic cavities,” J. Phys. Condens. Matter 26(1), 015005 (2014).
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Q. Rolland, M. Oudich, S. El-Jallal, S. Dupont, Y. Pennec, J. Gazalet, J. C. Kastelik, G. Lévêque, and B. Djafari-Rouhani, “Acousto-optic couplings in two-dimensional phoxonic crystal cavities,” Appl. Phys. Lett. 101(6), 061109 (2012).
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Eftekhar, A. A.

Eichenfield, M.

M. Eichenfield, J. Chan, R. M. Camacho, K. J. Vahala, and O. Painter, “Optomechanical crystals,” Nature 462(7269), 78–82 (2009).
[Crossref] [PubMed]

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Y. El Hassouani, C. Li, Y. Pennec, E. H. El Boudouti, H. Larabi, A. Akjouj, O. Bou Matar, V. Laude, N. Papanikolaou, A. Martinez, and B. Djafari Rouhani, “Dual phononic and photonic band gaps in a periodic array of pillars deposited on a thin plate,” Phys. Rev. B 82(15), 155405 (2010).
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Y. El Hassouani, C. Li, Y. Pennec, E. H. El Boudouti, H. Larabi, A. Akjouj, O. Bou Matar, V. Laude, N. Papanikolaou, A. Martinez, and B. Djafari Rouhani, “Dual phononic and photonic band gaps in a periodic array of pillars deposited on a thin plate,” Phys. Rev. B 82(15), 155405 (2010).
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S. El-Jallal, M. Oudich, Y. Pennec, B. Djafari-Rouhani, A. Makhoute, Q. Rolland, S. Dupont, and J. Gazalet, “Optomechanical interactions in two-dimensional Si and GaAs phoXonic cavities,” J. Phys. Condens. Matter 26(1), 015005 (2014).
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M. Oudich, S. El-Jallal, Y. Pennec, B. Djafari-Rouhani, J. Gomis-Bresco, D. Navarro-Urrios, C. M. S. Torres, A. Martínez, and A. Makhoute, “Optomechanic interaction in a corrugated phoxonic nanobeam cavity,” Phys. Rev. B 89(24), 245122 (2014).
[Crossref]

J. Gomis-Bresco, D. Navarro-Urrios, M. Oudich, S. El-Jallal, A. Griol, D. Puerto, E. Chavez, Y. Pennec, B. Djafari-Rouhani, F. Alzina, A. Martínez, and C. M. Torres, “A one-dimensional optomechanical crystal with a complete phononic band gap,” Nat Commun 5, 4452 (2014).
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S. El-Jallal, M. Oudich, Y. Pennec, B. Djafari-Rouhani, V. Laude, J. C. Beugnot, A. Martínez, J. M. Escalante, and A. Makhoute, “Analysis of optomechanical coupling in two-dimensional square lattice phoxonic crystal slab cavities,” Phys. Rev. B 88(20), 205410 (2013).
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Q. Rolland, M. Oudich, S. El-Jallal, S. Dupont, Y. Pennec, J. Gazalet, J. C. Kastelik, G. Lévêque, and B. Djafari-Rouhani, “Acousto-optic couplings in two-dimensional phoxonic crystal cavities,” Appl. Phys. Lett. 101(6), 061109 (2012).
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S. El-Jallal, M. Oudich, Y. Pennec, B. Djafari-Rouhani, V. Laude, J. C. Beugnot, A. Martínez, J. M. Escalante, and A. Makhoute, “Analysis of optomechanical coupling in two-dimensional square lattice phoxonic crystal slab cavities,” Phys. Rev. B 88(20), 205410 (2013).
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Y. Pennec, B. Djafari Rouhani, C. Li, J. M. Escalante, A. Martinez, S. Benchabane, V. Laude, and N. Papanikolaou, “Band gaps and cavity modes in dual phononic and photonic strip waveguides,” AIP Advances 1(4), 041901 (2011).
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D. A. Fuhrmann, S. M. Thon, H. Kim, D. Bouwmeester, P. M. Petroff, A. Wixforth, and H. J. Krenner, “Dynamic modulation of photonic crystal nanocavities using gigahertz acoustic phonons,” Nat. Photonics 5(10), 605–609 (2011).
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S. Benchabane, O. Gaiffe, G. Ulliac, R. Salut, Y. Achaoui, and V. Laude, “Observation of surface-guided waves in holey hypersonic phononic crystal,” Appl. Phys. Lett. 98(17), 171908 (2011).
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Gazalet, J.

S. El-Jallal, M. Oudich, Y. Pennec, B. Djafari-Rouhani, A. Makhoute, Q. Rolland, S. Dupont, and J. Gazalet, “Optomechanical interactions in two-dimensional Si and GaAs phoXonic cavities,” J. Phys. Condens. Matter 26(1), 015005 (2014).
[Crossref] [PubMed]

Q. Rolland, S. Dupont, J. Gazalet, J. C. Kastelik, Y. Pennec, B. Djafari-Rouhani, and V. Laude, “Simultaneous bandgaps in LiNbO3 phoxonic crystal slab,” Opt. Express 22(13), 16288–16297 (2014).
[Crossref] [PubMed]

Q. Rolland, M. Oudich, S. El-Jallal, S. Dupont, Y. Pennec, J. Gazalet, J. C. Kastelik, G. Lévêque, and B. Djafari-Rouhani, “Acousto-optic couplings in two-dimensional phoxonic crystal cavities,” Appl. Phys. Lett. 101(6), 061109 (2012).
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M. Oudich, S. El-Jallal, Y. Pennec, B. Djafari-Rouhani, J. Gomis-Bresco, D. Navarro-Urrios, C. M. S. Torres, A. Martínez, and A. Makhoute, “Optomechanic interaction in a corrugated phoxonic nanobeam cavity,” Phys. Rev. B 89(24), 245122 (2014).
[Crossref]

J. Gomis-Bresco, D. Navarro-Urrios, M. Oudich, S. El-Jallal, A. Griol, D. Puerto, E. Chavez, Y. Pennec, B. Djafari-Rouhani, F. Alzina, A. Martínez, and C. M. Torres, “A one-dimensional optomechanical crystal with a complete phononic band gap,” Nat Commun 5, 4452 (2014).
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Gösele, U.

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gösele, and V. Sandoghdar, “Highly Directional Emission from Photonic Crystal Waveguides of Subwavelength Width,” Phys. Rev. Lett. 92(11), 113903 (2004).
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J. Gomis-Bresco, D. Navarro-Urrios, M. Oudich, S. El-Jallal, A. Griol, D. Puerto, E. Chavez, Y. Pennec, B. Djafari-Rouhani, F. Alzina, A. Martínez, and C. M. Torres, “A one-dimensional optomechanical crystal with a complete phononic band gap,” Nat Commun 5, 4452 (2014).
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A. H. Safavi-Naeini, J. T. Hill, S. Meenehan, J. Chan, S. Gröblacher, and O. Painter, “Two-dimensional phononic-photonic band gap optomechanical crystal cavity,” Phys. Rev. Lett. 112(15), 153603 (2014).
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D. Zhao, Z. Liu, C. Qiu, Z. He, F. Cai, and M. Ke, “Surface acoustic waves in two-dimensional phononic crystals: Dispersion relation and the eigenfield distribution of surface modes,” Phys. Rev. B 76(14), 144301 (2007).
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A. H. Safavi-Naeini, J. T. Hill, S. Meenehan, J. Chan, S. Gröblacher, and O. Painter, “Two-dimensional phononic-photonic band gap optomechanical crystal cavity,” Phys. Rev. Lett. 112(15), 153603 (2014).
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Hsieh, C. Y.

F. L. Hsiao, C. Y. Hsieh, H. Y. Hsieh, and C. C. Chiu, “High-efficiency acousto-optical interaction in phoxonic nanobeam waveguide,” Appl. Phys. Lett. 100(17), 171103 (2012).
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F. L. Hsiao, C. Y. Hsieh, H. Y. Hsieh, and C. C. Chiu, “High-efficiency acousto-optical interaction in phoxonic nanobeam waveguide,” Appl. Phys. Lett. 100(17), 171103 (2012).
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Q. Rolland, S. Dupont, J. Gazalet, J. C. Kastelik, Y. Pennec, B. Djafari-Rouhani, and V. Laude, “Simultaneous bandgaps in LiNbO3 phoxonic crystal slab,” Opt. Express 22(13), 16288–16297 (2014).
[Crossref] [PubMed]

Q. Rolland, M. Oudich, S. El-Jallal, S. Dupont, Y. Pennec, J. Gazalet, J. C. Kastelik, G. Lévêque, and B. Djafari-Rouhani, “Acousto-optic couplings in two-dimensional phoxonic crystal cavities,” Appl. Phys. Lett. 101(6), 061109 (2012).
[Crossref]

Ke, M.

D. Zhao, Z. Liu, C. Qiu, Z. He, F. Cai, and M. Ke, “Surface acoustic waves in two-dimensional phononic crystals: Dispersion relation and the eigenfield distribution of surface modes,” Phys. Rev. B 76(14), 144301 (2007).
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Khater, A.

S. Amoudache, Y. Pennec, B. Djafari Rouhani, A. Khater, R. Lucklum, and R. Tigrine, “Simultaneous sensing of light and sound velocities of fluids in a two-dimensional phoXonic crystal with defects,” J. Appl. Phys. 115(13), 134503 (2014).
[Crossref]

Khelif, A.

Y. Achaoui, A. Khelif, S. Benchabane, L. Robert, and V. Laude, “Experimental observation of locally-resonant and Bragg band gaps for surface guided waves in a phononic crystal of pillars,” Phys. Rev. B 83(10), 104201 (2011).
[Crossref]

A. Khelif, Y. Achaoui, S. Benchabane, V. Laude, and B. Aoubiza, “Locally resonant surface acoustic wave band gaps in a two-dimensional phononic crystal of pillars on a surface,” Phys. Rev. B 81(21), 214303 (2010).
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D. A. Fuhrmann, S. M. Thon, H. Kim, D. Bouwmeester, P. M. Petroff, A. Wixforth, and H. J. Krenner, “Dynamic modulation of photonic crystal nanocavities using gigahertz acoustic phonons,” Nat. Photonics 5(10), 605–609 (2011).
[Crossref]

Kramper, P.

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gösele, and V. Sandoghdar, “Highly Directional Emission from Photonic Crystal Waveguides of Subwavelength Width,” Phys. Rev. Lett. 92(11), 113903 (2004).
[Crossref] [PubMed]

Krenner, H. J.

D. A. Fuhrmann, S. M. Thon, H. Kim, D. Bouwmeester, P. M. Petroff, A. Wixforth, and H. J. Krenner, “Dynamic modulation of photonic crystal nanocavities using gigahertz acoustic phonons,” Nat. Photonics 5(10), 605–609 (2011).
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Y. El Hassouani, C. Li, Y. Pennec, E. H. El Boudouti, H. Larabi, A. Akjouj, O. Bou Matar, V. Laude, N. Papanikolaou, A. Martinez, and B. Djafari Rouhani, “Dual phononic and photonic band gaps in a periodic array of pillars deposited on a thin plate,” Phys. Rev. B 82(15), 155405 (2010).
[Crossref]

Laude, V.

Q. Rolland, S. Dupont, J. Gazalet, J. C. Kastelik, Y. Pennec, B. Djafari-Rouhani, and V. Laude, “Simultaneous bandgaps in LiNbO3 phoxonic crystal slab,” Opt. Express 22(13), 16288–16297 (2014).
[Crossref] [PubMed]

S. El-Jallal, M. Oudich, Y. Pennec, B. Djafari-Rouhani, V. Laude, J. C. Beugnot, A. Martínez, J. M. Escalante, and A. Makhoute, “Analysis of optomechanical coupling in two-dimensional square lattice phoxonic crystal slab cavities,” Phys. Rev. B 88(20), 205410 (2013).
[Crossref]

Y. Achaoui, A. Khelif, S. Benchabane, L. Robert, and V. Laude, “Experimental observation of locally-resonant and Bragg band gaps for surface guided waves in a phononic crystal of pillars,” Phys. Rev. B 83(10), 104201 (2011).
[Crossref]

S. Benchabane, O. Gaiffe, G. Ulliac, R. Salut, Y. Achaoui, and V. Laude, “Observation of surface-guided waves in holey hypersonic phononic crystal,” Appl. Phys. Lett. 98(17), 171908 (2011).
[Crossref]

Y. Pennec, B. Djafari Rouhani, C. Li, J. M. Escalante, A. Martinez, S. Benchabane, V. Laude, and N. Papanikolaou, “Band gaps and cavity modes in dual phononic and photonic strip waveguides,” AIP Advances 1(4), 041901 (2011).
[Crossref]

A. Khelif, Y. Achaoui, S. Benchabane, V. Laude, and B. Aoubiza, “Locally resonant surface acoustic wave band gaps in a two-dimensional phononic crystal of pillars on a surface,” Phys. Rev. B 81(21), 214303 (2010).
[Crossref]

Y. El Hassouani, C. Li, Y. Pennec, E. H. El Boudouti, H. Larabi, A. Akjouj, O. Bou Matar, V. Laude, N. Papanikolaou, A. Martinez, and B. Djafari Rouhani, “Dual phononic and photonic band gaps in a periodic array of pillars deposited on a thin plate,” Phys. Rev. B 82(15), 155405 (2010).
[Crossref]

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]

I. E. Psarobas, N. Papanikolaou, N. Stefanou, B. Djafari-Rouhani, B. Bonello, and V. Laude, “Enhanced acousto-optic interactions in a one-dimensional phoxonic cavity,” Phys. Rev. B 82(17), 174303 (2009).
[Crossref]

Lee, P. T.

Lévêque, G.

Q. Rolland, M. Oudich, S. El-Jallal, S. Dupont, Y. Pennec, J. Gazalet, J. C. Kastelik, G. Lévêque, and B. Djafari-Rouhani, “Acousto-optic couplings in two-dimensional phoxonic crystal cavities,” Appl. Phys. Lett. 101(6), 061109 (2012).
[Crossref]

Li, C.

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J. C. Hsu, C. H. Lin, Y. C. Ku, and T. R. Lin, “Photonic band gaps induced by submicron acoustic plate waves in dielectric slab waveguides,” Opt. Lett. 38(20), 4050–4053 (2013).
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T. T. Wu, Z. G. Huang, and S. Lin, “Surface and bulk acoustic waves in two-dimensional phononic crystal consisting of materials with general anisotropy,” Phys. Rev. B 69(9), 094301 (2004).
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Lin, T. R.

T. R. Lin, C. H. Lin, and J. C. Hsu, “Enhanced acousto-optic interaction in two-dimensional phoxonic crystals with a line defect,” J. Appl. Phys. 113(5), 053508 (2013).
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J. C. Hsu, C. H. Lin, Y. C. Ku, and T. R. Lin, “Photonic band gaps induced by submicron acoustic plate waves in dielectric slab waveguides,” Opt. Lett. 38(20), 4050–4053 (2013).
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D. Zhao, Z. Liu, C. Qiu, Z. He, F. Cai, and M. Ke, “Surface acoustic waves in two-dimensional phononic crystals: Dispersion relation and the eigenfield distribution of surface modes,” Phys. Rev. B 76(14), 144301 (2007).
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Lu, T. W.

Lucklum, R.

S. Amoudache, Y. Pennec, B. Djafari Rouhani, A. Khater, R. Lucklum, and R. Tigrine, “Simultaneous sensing of light and sound velocities of fluids in a two-dimensional phoXonic crystal with defects,” J. Appl. Phys. 115(13), 134503 (2014).
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R. Lucklum, M. Zubtsov, and A. Oseev, “Phoxonic crystals-a new platform for chemical and biochemical sensors,” Anal. Bioanal. Chem. 405(20), 6497–6509 (2013).
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T. X. Ma, Y. S. Wang, and Ch. Zhang, “Investigation of dual photonic and phononic bandgaps in two-dimensional phoxonic crystals with veins,” Opt. Commun. 312, 68–72 (2014).
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T. X. Ma, Y. S. Wang, Y. F. Wang, and X. X. Su, “Three-dimensional dielectric phoxonic crystals with network topology,” Opt. Express 21(3), 2727–2732 (2013).
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M. Oudich, S. El-Jallal, Y. Pennec, B. Djafari-Rouhani, J. Gomis-Bresco, D. Navarro-Urrios, C. M. S. Torres, A. Martínez, and A. Makhoute, “Optomechanic interaction in a corrugated phoxonic nanobeam cavity,” Phys. Rev. B 89(24), 245122 (2014).
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S. El-Jallal, M. Oudich, Y. Pennec, B. Djafari-Rouhani, A. Makhoute, Q. Rolland, S. Dupont, and J. Gazalet, “Optomechanical interactions in two-dimensional Si and GaAs phoXonic cavities,” J. Phys. Condens. Matter 26(1), 015005 (2014).
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S. El-Jallal, M. Oudich, Y. Pennec, B. Djafari-Rouhani, V. Laude, J. C. Beugnot, A. Martínez, J. M. Escalante, and A. Makhoute, “Analysis of optomechanical coupling in two-dimensional square lattice phoxonic crystal slab cavities,” Phys. Rev. B 88(20), 205410 (2013).
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M. Maldovan and E. L. Thomas, “Simultaneous localization of photons and phonons in two-dimensional periodic structures,” Appl. Phys. Lett. 88(25), 251907 (2006).
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B. Manzanares-Martínez and F. Ramos-Mendieta, “Surface elastic waves in solid composites of two-dimensional periodicity,” Phys. Rev. B 68(13), 134303 (2003).
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Y. Pennec, B. Djafari Rouhani, C. Li, J. M. Escalante, A. Martinez, S. Benchabane, V. Laude, and N. Papanikolaou, “Band gaps and cavity modes in dual phononic and photonic strip waveguides,” AIP Advances 1(4), 041901 (2011).
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Y. El Hassouani, C. Li, Y. Pennec, E. H. El Boudouti, H. Larabi, A. Akjouj, O. Bou Matar, V. Laude, N. Papanikolaou, A. Martinez, and B. Djafari Rouhani, “Dual phononic and photonic band gaps in a periodic array of pillars deposited on a thin plate,” Phys. Rev. B 82(15), 155405 (2010).
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M. Oudich, S. El-Jallal, Y. Pennec, B. Djafari-Rouhani, J. Gomis-Bresco, D. Navarro-Urrios, C. M. S. Torres, A. Martínez, and A. Makhoute, “Optomechanic interaction in a corrugated phoxonic nanobeam cavity,” Phys. Rev. B 89(24), 245122 (2014).
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J. Gomis-Bresco, D. Navarro-Urrios, M. Oudich, S. El-Jallal, A. Griol, D. Puerto, E. Chavez, Y. Pennec, B. Djafari-Rouhani, F. Alzina, A. Martínez, and C. M. Torres, “A one-dimensional optomechanical crystal with a complete phononic band gap,” Nat Commun 5, 4452 (2014).
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S. El-Jallal, M. Oudich, Y. Pennec, B. Djafari-Rouhani, V. Laude, J. C. Beugnot, A. Martínez, J. M. Escalante, and A. Makhoute, “Analysis of optomechanical coupling in two-dimensional square lattice phoxonic crystal slab cavities,” Phys. Rev. B 88(20), 205410 (2013).
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D. M. Profunser, E. Muramoto, O. Matsuda, O. B. Wright, and U. Lang, “Dynamic visualization of surface acoustic waves on a two-dimensional phononic crystal,” Phys. Rev. B 80(1), 014301 (2009).
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A. H. Safavi-Naeini, J. T. Hill, S. Meenehan, J. Chan, S. Gröblacher, and O. Painter, “Two-dimensional phononic-photonic band gap optomechanical crystal cavity,” Phys. Rev. Lett. 112(15), 153603 (2014).
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Müller, F.

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gösele, and V. Sandoghdar, “Highly Directional Emission from Photonic Crystal Waveguides of Subwavelength Width,” Phys. Rev. Lett. 92(11), 113903 (2004).
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D. M. Profunser, E. Muramoto, O. Matsuda, O. B. Wright, and U. Lang, “Dynamic visualization of surface acoustic waves on a two-dimensional phononic crystal,” Phys. Rev. B 80(1), 014301 (2009).
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J. Gomis-Bresco, D. Navarro-Urrios, M. Oudich, S. El-Jallal, A. Griol, D. Puerto, E. Chavez, Y. Pennec, B. Djafari-Rouhani, F. Alzina, A. Martínez, and C. M. Torres, “A one-dimensional optomechanical crystal with a complete phononic band gap,” Nat Commun 5, 4452 (2014).
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M. Oudich, S. El-Jallal, Y. Pennec, B. Djafari-Rouhani, J. Gomis-Bresco, D. Navarro-Urrios, C. M. S. Torres, A. Martínez, and A. Makhoute, “Optomechanic interaction in a corrugated phoxonic nanobeam cavity,” Phys. Rev. B 89(24), 245122 (2014).
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K. Ishizaki and S. Noda, “Manipulation of photons at the surface of three-dimensional photonic crystals,” Nature 460(7253), 367–370 (2009).
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R. Lucklum, M. Zubtsov, and A. Oseev, “Phoxonic crystals-a new platform for chemical and biochemical sensors,” Anal. Bioanal. Chem. 405(20), 6497–6509 (2013).
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M. Oudich, S. El-Jallal, Y. Pennec, B. Djafari-Rouhani, J. Gomis-Bresco, D. Navarro-Urrios, C. M. S. Torres, A. Martínez, and A. Makhoute, “Optomechanic interaction in a corrugated phoxonic nanobeam cavity,” Phys. Rev. B 89(24), 245122 (2014).
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J. Gomis-Bresco, D. Navarro-Urrios, M. Oudich, S. El-Jallal, A. Griol, D. Puerto, E. Chavez, Y. Pennec, B. Djafari-Rouhani, F. Alzina, A. Martínez, and C. M. Torres, “A one-dimensional optomechanical crystal with a complete phononic band gap,” Nat Commun 5, 4452 (2014).
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S. El-Jallal, M. Oudich, Y. Pennec, B. Djafari-Rouhani, A. Makhoute, Q. Rolland, S. Dupont, and J. Gazalet, “Optomechanical interactions in two-dimensional Si and GaAs phoXonic cavities,” J. Phys. Condens. Matter 26(1), 015005 (2014).
[Crossref] [PubMed]

S. El-Jallal, M. Oudich, Y. Pennec, B. Djafari-Rouhani, V. Laude, J. C. Beugnot, A. Martínez, J. M. Escalante, and A. Makhoute, “Analysis of optomechanical coupling in two-dimensional square lattice phoxonic crystal slab cavities,” Phys. Rev. B 88(20), 205410 (2013).
[Crossref]

Q. Rolland, M. Oudich, S. El-Jallal, S. Dupont, Y. Pennec, J. Gazalet, J. C. Kastelik, G. Lévêque, and B. Djafari-Rouhani, “Acousto-optic couplings in two-dimensional phoxonic crystal cavities,” Appl. Phys. Lett. 101(6), 061109 (2012).
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A. H. Safavi-Naeini, J. T. Hill, S. Meenehan, J. Chan, S. Gröblacher, and O. Painter, “Two-dimensional phononic-photonic band gap optomechanical crystal cavity,” Phys. Rev. Lett. 112(15), 153603 (2014).
[Crossref] [PubMed]

M. Eichenfield, J. Chan, R. M. Camacho, K. J. Vahala, and O. Painter, “Optomechanical crystals,” Nature 462(7269), 78–82 (2009).
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Y. Pennec, B. Djafari Rouhani, C. Li, J. M. Escalante, A. Martinez, S. Benchabane, V. Laude, and N. Papanikolaou, “Band gaps and cavity modes in dual phononic and photonic strip waveguides,” AIP Advances 1(4), 041901 (2011).
[Crossref]

Y. El Hassouani, C. Li, Y. Pennec, E. H. El Boudouti, H. Larabi, A. Akjouj, O. Bou Matar, V. Laude, N. Papanikolaou, A. Martinez, and B. Djafari Rouhani, “Dual phononic and photonic band gaps in a periodic array of pillars deposited on a thin plate,” Phys. Rev. B 82(15), 155405 (2010).
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I. E. Psarobas, N. Papanikolaou, N. Stefanou, B. Djafari-Rouhani, B. Bonello, and V. Laude, “Enhanced acousto-optic interactions in a one-dimensional phoxonic cavity,” Phys. Rev. B 82(17), 174303 (2009).
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S. El-Jallal, M. Oudich, Y. Pennec, B. Djafari-Rouhani, A. Makhoute, Q. Rolland, S. Dupont, and J. Gazalet, “Optomechanical interactions in two-dimensional Si and GaAs phoXonic cavities,” J. Phys. Condens. Matter 26(1), 015005 (2014).
[Crossref] [PubMed]

M. Oudich, S. El-Jallal, Y. Pennec, B. Djafari-Rouhani, J. Gomis-Bresco, D. Navarro-Urrios, C. M. S. Torres, A. Martínez, and A. Makhoute, “Optomechanic interaction in a corrugated phoxonic nanobeam cavity,” Phys. Rev. B 89(24), 245122 (2014).
[Crossref]

J. Gomis-Bresco, D. Navarro-Urrios, M. Oudich, S. El-Jallal, A. Griol, D. Puerto, E. Chavez, Y. Pennec, B. Djafari-Rouhani, F. Alzina, A. Martínez, and C. M. Torres, “A one-dimensional optomechanical crystal with a complete phononic band gap,” Nat Commun 5, 4452 (2014).
[Crossref] [PubMed]

S. Amoudache, Y. Pennec, B. Djafari Rouhani, A. Khater, R. Lucklum, and R. Tigrine, “Simultaneous sensing of light and sound velocities of fluids in a two-dimensional phoXonic crystal with defects,” J. Appl. Phys. 115(13), 134503 (2014).
[Crossref]

Q. Rolland, S. Dupont, J. Gazalet, J. C. Kastelik, Y. Pennec, B. Djafari-Rouhani, and V. Laude, “Simultaneous bandgaps in LiNbO3 phoxonic crystal slab,” Opt. Express 22(13), 16288–16297 (2014).
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S. El-Jallal, M. Oudich, Y. Pennec, B. Djafari-Rouhani, V. Laude, J. C. Beugnot, A. Martínez, J. M. Escalante, and A. Makhoute, “Analysis of optomechanical coupling in two-dimensional square lattice phoxonic crystal slab cavities,” Phys. Rev. B 88(20), 205410 (2013).
[Crossref]

Q. Rolland, M. Oudich, S. El-Jallal, S. Dupont, Y. Pennec, J. Gazalet, J. C. Kastelik, G. Lévêque, and B. Djafari-Rouhani, “Acousto-optic couplings in two-dimensional phoxonic crystal cavities,” Appl. Phys. Lett. 101(6), 061109 (2012).
[Crossref]

Y. Pennec, B. Djafari Rouhani, C. Li, J. M. Escalante, A. Martinez, S. Benchabane, V. Laude, and N. Papanikolaou, “Band gaps and cavity modes in dual phononic and photonic strip waveguides,” AIP Advances 1(4), 041901 (2011).
[Crossref]

Y. El Hassouani, C. Li, Y. Pennec, E. H. El Boudouti, H. Larabi, A. Akjouj, O. Bou Matar, V. Laude, N. Papanikolaou, A. Martinez, and B. Djafari Rouhani, “Dual phononic and photonic band gaps in a periodic array of pillars deposited on a thin plate,” Phys. Rev. B 82(15), 155405 (2010).
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Petroff, P. M.

D. A. Fuhrmann, S. M. Thon, H. Kim, D. Bouwmeester, P. M. Petroff, A. Wixforth, and H. J. Krenner, “Dynamic modulation of photonic crystal nanocavities using gigahertz acoustic phonons,” Nat. Photonics 5(10), 605–609 (2011).
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Poot, M.

Profunser, D. M.

D. M. Profunser, E. Muramoto, O. Matsuda, O. B. Wright, and U. Lang, “Dynamic visualization of surface acoustic waves on a two-dimensional phononic crystal,” Phys. Rev. B 80(1), 014301 (2009).
[Crossref]

Psarobas, I. E.

I. E. Psarobas, N. Papanikolaou, N. Stefanou, B. Djafari-Rouhani, B. Bonello, and V. Laude, “Enhanced acousto-optic interactions in a one-dimensional phoxonic cavity,” Phys. Rev. B 82(17), 174303 (2009).
[Crossref]

Puerto, D.

J. Gomis-Bresco, D. Navarro-Urrios, M. Oudich, S. El-Jallal, A. Griol, D. Puerto, E. Chavez, Y. Pennec, B. Djafari-Rouhani, F. Alzina, A. Martínez, and C. M. Torres, “A one-dimensional optomechanical crystal with a complete phononic band gap,” Nat Commun 5, 4452 (2014).
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D. Zhao, Z. Liu, C. Qiu, Z. He, F. Cai, and M. Ke, “Surface acoustic waves in two-dimensional phononic crystals: Dispersion relation and the eigenfield distribution of surface modes,” Phys. Rev. B 76(14), 144301 (2007).
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Ramos-Mendieta, F.

B. Manzanares-Martínez and F. Ramos-Mendieta, “Surface elastic waves in solid composites of two-dimensional periodicity,” Phys. Rev. B 68(13), 134303 (2003).
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S. El-Jallal, M. Oudich, Y. Pennec, B. Djafari-Rouhani, A. Makhoute, Q. Rolland, S. Dupont, and J. Gazalet, “Optomechanical interactions in two-dimensional Si and GaAs phoXonic cavities,” J. Phys. Condens. Matter 26(1), 015005 (2014).
[Crossref] [PubMed]

Q. Rolland, S. Dupont, J. Gazalet, J. C. Kastelik, Y. Pennec, B. Djafari-Rouhani, and V. Laude, “Simultaneous bandgaps in LiNbO3 phoxonic crystal slab,” Opt. Express 22(13), 16288–16297 (2014).
[Crossref] [PubMed]

Q. Rolland, M. Oudich, S. El-Jallal, S. Dupont, Y. Pennec, J. Gazalet, J. C. Kastelik, G. Lévêque, and B. Djafari-Rouhani, “Acousto-optic couplings in two-dimensional phoxonic crystal cavities,” Appl. Phys. Lett. 101(6), 061109 (2012).
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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).
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A. H. Safavi-Naeini, J. T. Hill, S. Meenehan, J. Chan, S. Gröblacher, and O. Painter, “Two-dimensional phononic-photonic band gap optomechanical crystal cavity,” Phys. Rev. Lett. 112(15), 153603 (2014).
[Crossref] [PubMed]

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S. Benchabane, O. Gaiffe, G. Ulliac, R. Salut, Y. Achaoui, and V. Laude, “Observation of surface-guided waves in holey hypersonic phononic crystal,” Appl. Phys. Lett. 98(17), 171908 (2011).
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P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gösele, and V. Sandoghdar, “Highly Directional Emission from Photonic Crystal Waveguides of Subwavelength Width,” Phys. Rev. Lett. 92(11), 113903 (2004).
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Shi, N. N.

Song, B. S.

B. S. Song, S. Noda, T. Asano, and Y. Akahane, “Ultra-high-Q photonic double-heterostructure nanocavity,” Nat. Mater. 4(3), 207–210 (2005).
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Soukoulis, C. M.

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gösele, and V. Sandoghdar, “Highly Directional Emission from Photonic Crystal Waveguides of Subwavelength Width,” Phys. Rev. Lett. 92(11), 113903 (2004).
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I. E. Psarobas, N. Papanikolaou, N. Stefanou, B. Djafari-Rouhani, B. Bonello, and V. Laude, “Enhanced acousto-optic interactions in a one-dimensional phoxonic cavity,” Phys. Rev. B 82(17), 174303 (2009).
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Stöferle, T.

Su, S. Y.

Su, X. X.

Sun, J. H.

J. H. Sun and T. T. Wu, “Propagation of surface acoustic waves through sharply bent two-dimensional phononic crystal waveguides using a finite-difference time-domain method,” Phys. Rev. B 74(17), 174305 (2006).
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Tang, H. X.

Tang, L.

Thomas, E. L.

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]

Thon, S. M.

D. A. Fuhrmann, S. M. Thon, H. Kim, D. Bouwmeester, P. M. Petroff, A. Wixforth, and H. J. Krenner, “Dynamic modulation of photonic crystal nanocavities using gigahertz acoustic phonons,” Nat. Photonics 5(10), 605–609 (2011).
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S. Amoudache, Y. Pennec, B. Djafari Rouhani, A. Khater, R. Lucklum, and R. Tigrine, “Simultaneous sensing of light and sound velocities of fluids in a two-dimensional phoXonic crystal with defects,” J. Appl. Phys. 115(13), 134503 (2014).
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J. Gomis-Bresco, D. Navarro-Urrios, M. Oudich, S. El-Jallal, A. Griol, D. Puerto, E. Chavez, Y. Pennec, B. Djafari-Rouhani, F. Alzina, A. Martínez, and C. M. Torres, “A one-dimensional optomechanical crystal with a complete phononic band gap,” Nat Commun 5, 4452 (2014).
[Crossref] [PubMed]

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M. Oudich, S. El-Jallal, Y. Pennec, B. Djafari-Rouhani, J. Gomis-Bresco, D. Navarro-Urrios, C. M. S. Torres, A. Martínez, and A. Makhoute, “Optomechanic interaction in a corrugated phoxonic nanobeam cavity,” Phys. Rev. B 89(24), 245122 (2014).
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S. Benchabane, O. Gaiffe, G. Ulliac, R. Salut, Y. Achaoui, and V. Laude, “Observation of surface-guided waves in holey hypersonic phononic crystal,” Appl. Phys. Lett. 98(17), 171908 (2011).
[Crossref]

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M. Eichenfield, J. Chan, R. M. Camacho, K. J. Vahala, and O. Painter, “Optomechanical crystals,” Nature 462(7269), 78–82 (2009).
[Crossref] [PubMed]

Wang, Y. F.

Wang, Y. S.

T. X. Ma, Y. S. Wang, and Ch. Zhang, “Investigation of dual photonic and phononic bandgaps in two-dimensional phoxonic crystals with veins,” Opt. Commun. 312, 68–72 (2014).
[Crossref]

T. X. Ma, Y. S. Wang, Y. F. Wang, and X. X. Su, “Three-dimensional dielectric phoxonic crystals with network topology,” Opt. Express 21(3), 2727–2732 (2013).
[Crossref] [PubMed]

Wehrspohn, R. B.

P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gösele, and V. Sandoghdar, “Highly Directional Emission from Photonic Crystal Waveguides of Subwavelength Width,” Phys. Rev. Lett. 92(11), 113903 (2004).
[Crossref] [PubMed]

Wixforth, A.

D. A. Fuhrmann, S. M. Thon, H. Kim, D. Bouwmeester, P. M. Petroff, A. Wixforth, and H. J. Krenner, “Dynamic modulation of photonic crystal nanocavities using gigahertz acoustic phonons,” Nat. Photonics 5(10), 605–609 (2011).
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Wong, C. W.

Wright, O. B.

D. M. Profunser, E. Muramoto, O. Matsuda, O. B. Wright, and U. Lang, “Dynamic visualization of surface acoustic waves on a two-dimensional phononic crystal,” Phys. Rev. B 80(1), 014301 (2009).
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T. T. Wu, L. C. Wu, and Z. G. Huang, “Frequency band-gap measurement of two-dimensional air/silicon phononic crystals using layered slanted finger interdigital transducers,” J. Appl. Phys. 97(9), 094916 (2005).
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J. H. Sun and T. T. Wu, “Propagation of surface acoustic waves through sharply bent two-dimensional phononic crystal waveguides using a finite-difference time-domain method,” Phys. Rev. B 74(17), 174305 (2006).
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T. T. Wu, L. C. Wu, and Z. G. Huang, “Frequency band-gap measurement of two-dimensional air/silicon phononic crystals using layered slanted finger interdigital transducers,” J. Appl. Phys. 97(9), 094916 (2005).
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T. T. Wu, Z. G. Huang, and S. Lin, “Surface and bulk acoustic waves in two-dimensional phononic crystal consisting of materials with general anisotropy,” Phys. Rev. B 69(9), 094301 (2004).
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Yoshie, T.

Zhang, Ch.

T. X. Ma, Y. S. Wang, and Ch. Zhang, “Investigation of dual photonic and phononic bandgaps in two-dimensional phoxonic crystals with veins,” Opt. Commun. 312, 68–72 (2014).
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Zhao, D.

D. Zhao, Z. Liu, C. Qiu, Z. He, F. Cai, and M. Ke, “Surface acoustic waves in two-dimensional phononic crystals: Dispersion relation and the eigenfield distribution of surface modes,” Phys. Rev. B 76(14), 144301 (2007).
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Zheng, J.

Zozoulenko, I. V.

Zubtsov, M.

R. Lucklum, M. Zubtsov, and A. Oseev, “Phoxonic crystals-a new platform for chemical and biochemical sensors,” Anal. Bioanal. Chem. 405(20), 6497–6509 (2013).
[Crossref] [PubMed]

AIP Advances (1)

Y. Pennec, B. Djafari Rouhani, C. Li, J. M. Escalante, A. Martinez, S. Benchabane, V. Laude, and N. Papanikolaou, “Band gaps and cavity modes in dual phononic and photonic strip waveguides,” AIP Advances 1(4), 041901 (2011).
[Crossref]

Anal. Bioanal. Chem. (1)

R. Lucklum, M. Zubtsov, and A. Oseev, “Phoxonic crystals-a new platform for chemical and biochemical sensors,” Anal. Bioanal. Chem. 405(20), 6497–6509 (2013).
[Crossref] [PubMed]

Appl. Phys. Lett. (5)

F. L. Hsiao, C. Y. Hsieh, H. Y. Hsieh, and C. C. Chiu, “High-efficiency acousto-optical interaction in phoxonic nanobeam waveguide,” Appl. Phys. Lett. 100(17), 171103 (2012).
[Crossref]

Q. Rolland, M. Oudich, S. El-Jallal, S. Dupont, Y. Pennec, J. Gazalet, J. C. Kastelik, G. Lévêque, and B. Djafari-Rouhani, “Acousto-optic couplings in two-dimensional phoxonic crystal cavities,” Appl. Phys. Lett. 101(6), 061109 (2012).
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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]

M. B. Assouar and M. Oudich, “Dispersion curves of surface acoustic waves in a two-dimensional phononic crystal,” Appl. Phys. Lett. 99(12), 123505 (2011).
[Crossref]

S. Benchabane, O. Gaiffe, G. Ulliac, R. Salut, Y. Achaoui, and V. Laude, “Observation of surface-guided waves in holey hypersonic phononic crystal,” Appl. Phys. Lett. 98(17), 171908 (2011).
[Crossref]

J. Appl. Phys. (5)

Y. Li, Z. Hou, M. Oudich, and M. B. Assouar, “Analysis of surface acoustic wave propagation in a two-dimensional phononic crystal,” J. Appl. Phys. 112(2), 023524 (2012).
[Crossref]

T. T. Wu, L. C. Wu, and Z. G. Huang, “Frequency band-gap measurement of two-dimensional air/silicon phononic crystals using layered slanted finger interdigital transducers,” J. Appl. Phys. 97(9), 094916 (2005).
[Crossref]

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]

T. R. Lin, C. H. Lin, and J. C. Hsu, “Enhanced acousto-optic interaction in two-dimensional phoxonic crystals with a line defect,” J. Appl. Phys. 113(5), 053508 (2013).
[Crossref]

S. Amoudache, Y. Pennec, B. Djafari Rouhani, A. Khater, R. Lucklum, and R. Tigrine, “Simultaneous sensing of light and sound velocities of fluids in a two-dimensional phoXonic crystal with defects,” J. Appl. Phys. 115(13), 134503 (2014).
[Crossref]

J. Opt. Soc. Am. B (1)

J. Phys. Condens. Matter (1)

S. El-Jallal, M. Oudich, Y. Pennec, B. Djafari-Rouhani, A. Makhoute, Q. Rolland, S. Dupont, and J. Gazalet, “Optomechanical interactions in two-dimensional Si and GaAs phoXonic cavities,” J. Phys. Condens. Matter 26(1), 015005 (2014).
[Crossref] [PubMed]

Nat Commun (1)

J. Gomis-Bresco, D. Navarro-Urrios, M. Oudich, S. El-Jallal, A. Griol, D. Puerto, E. Chavez, Y. Pennec, B. Djafari-Rouhani, F. Alzina, A. Martínez, and C. M. Torres, “A one-dimensional optomechanical crystal with a complete phononic band gap,” Nat Commun 5, 4452 (2014).
[Crossref] [PubMed]

Nat. Mater. (1)

B. S. Song, S. Noda, T. Asano, and Y. Akahane, “Ultra-high-Q photonic double-heterostructure nanocavity,” Nat. Mater. 4(3), 207–210 (2005).
[Crossref]

Nat. Photonics (1)

D. A. Fuhrmann, S. M. Thon, H. Kim, D. Bouwmeester, P. M. Petroff, A. Wixforth, and H. J. Krenner, “Dynamic modulation of photonic crystal nanocavities using gigahertz acoustic phonons,” Nat. Photonics 5(10), 605–609 (2011).
[Crossref]

Nature (2)

K. Ishizaki and S. Noda, “Manipulation of photons at the surface of three-dimensional photonic crystals,” Nature 460(7253), 367–370 (2009).
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M. Eichenfield, J. Chan, R. M. Camacho, K. J. Vahala, and O. Painter, “Optomechanical crystals,” Nature 462(7269), 78–82 (2009).
[Crossref] [PubMed]

Opt. Commun. (1)

T. X. Ma, Y. S. Wang, and Ch. Zhang, “Investigation of dual photonic and phononic bandgaps in two-dimensional phoxonic crystals with veins,” Opt. Commun. 312, 68–72 (2014).
[Crossref]

Opt. Express (5)

Opt. Lett. (3)

Phys. Rev. B (11)

M. Oudich, S. El-Jallal, Y. Pennec, B. Djafari-Rouhani, J. Gomis-Bresco, D. Navarro-Urrios, C. M. S. Torres, A. Martínez, and A. Makhoute, “Optomechanic interaction in a corrugated phoxonic nanobeam cavity,” Phys. Rev. B 89(24), 245122 (2014).
[Crossref]

Y. Achaoui, A. Khelif, S. Benchabane, L. Robert, and V. Laude, “Experimental observation of locally-resonant and Bragg band gaps for surface guided waves in a phononic crystal of pillars,” Phys. Rev. B 83(10), 104201 (2011).
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D. M. Profunser, E. Muramoto, O. Matsuda, O. B. Wright, and U. Lang, “Dynamic visualization of surface acoustic waves on a two-dimensional phononic crystal,” Phys. Rev. B 80(1), 014301 (2009).
[Crossref]

Y. El Hassouani, C. Li, Y. Pennec, E. H. El Boudouti, H. Larabi, A. Akjouj, O. Bou Matar, V. Laude, N. Papanikolaou, A. Martinez, and B. Djafari Rouhani, “Dual phononic and photonic band gaps in a periodic array of pillars deposited on a thin plate,” Phys. Rev. B 82(15), 155405 (2010).
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I. E. Psarobas, N. Papanikolaou, N. Stefanou, B. Djafari-Rouhani, B. Bonello, and V. Laude, “Enhanced acousto-optic interactions in a one-dimensional phoxonic cavity,” Phys. Rev. B 82(17), 174303 (2009).
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B. Manzanares-Martínez and F. Ramos-Mendieta, “Surface elastic waves in solid composites of two-dimensional periodicity,” Phys. Rev. B 68(13), 134303 (2003).
[Crossref]

T. T. Wu, Z. G. Huang, and S. Lin, “Surface and bulk acoustic waves in two-dimensional phononic crystal consisting of materials with general anisotropy,” Phys. Rev. B 69(9), 094301 (2004).
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J. H. Sun and T. T. Wu, “Propagation of surface acoustic waves through sharply bent two-dimensional phononic crystal waveguides using a finite-difference time-domain method,” Phys. Rev. B 74(17), 174305 (2006).
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D. Zhao, Z. Liu, C. Qiu, Z. He, F. Cai, and M. Ke, “Surface acoustic waves in two-dimensional phononic crystals: Dispersion relation and the eigenfield distribution of surface modes,” Phys. Rev. B 76(14), 144301 (2007).
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A. Khelif, Y. Achaoui, S. Benchabane, V. Laude, and B. Aoubiza, “Locally resonant surface acoustic wave band gaps in a two-dimensional phononic crystal of pillars on a surface,” Phys. Rev. B 81(21), 214303 (2010).
[Crossref]

S. El-Jallal, M. Oudich, Y. Pennec, B. Djafari-Rouhani, V. Laude, J. C. Beugnot, A. Martínez, J. M. Escalante, and A. Makhoute, “Analysis of optomechanical coupling in two-dimensional square lattice phoxonic crystal slab cavities,” Phys. Rev. B 88(20), 205410 (2013).
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Phys. Rev. Lett. (2)

A. H. Safavi-Naeini, J. T. Hill, S. Meenehan, J. Chan, S. Gröblacher, and O. Painter, “Two-dimensional phononic-photonic band gap optomechanical crystal cavity,” Phys. Rev. Lett. 112(15), 153603 (2014).
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P. Kramper, M. Agio, C. M. Soukoulis, A. Birner, F. Müller, R. B. Wehrspohn, U. Gösele, and V. Sandoghdar, “Highly Directional Emission from Photonic Crystal Waveguides of Subwavelength Width,” Phys. Rev. Lett. 92(11), 113903 (2004).
[Crossref] [PubMed]

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Figures (4)

Fig. 1
Fig. 1 (a) Schematic sketch of the 2D PXC and enlarged diagram of the upper surface region. The structural geometry is described by the lattice constant a, circle radius r, hole width w and thickness of the additional silicon layer d. (b) Phononic dispersion curves and displacement field distributions of the surface bands. The red solid and blue dotted lines denote the upper and lower surface bands, respectively. The black dashed line is the sound line. (c) Photonic TE mode dispersion curves and magnetic field (Hz) distributions of the surface bands. (d) Photonic TM mode dispersion curves and electric field (Ez) distributions of the surface bands. The red solid and blue dotted lines denote the upper and lower surface bands, respectively. The black dashed line and the grey region are the light line and light cone, respectively.
Fig. 2
Fig. 2 Dispersion curves of the surface waves propagating at the upper surface of the PXC structure. Red and blue bands are the results for d = 0.12a and d = 0.16a, respectively. The yellow shadow represents the mode gap formed by different structural parameter d.
Fig. 3
Fig. 3 (a) Schematic diagram of the 2D PXC hetero-structure cavity and variation of the structural parameter d along the x-axis. The hetero-structure cavity is formed by changing the thickness of the additional layer d, i.e. the distance between the upper surface and the holes. Displacement (b), magnetic (c) and electric (d) field distributions of different cavity modes.
Fig. 4
Fig. 4 Frequency modulations and their Fourier transform of the photonic TE mode in one period of the phononic cavity modes α, β, γ and δ.

Equations (1)

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Δ n x = 1 2 n 3 ( S x x p 11 + S y y p 12 ) Δ n y = 1 2 n 3 ( S x x p 12 + S y y p 11 ) Δ n z = 1 2 n 3 ( S x x p 12 + S y y p 12 ) , Δ n x y = Δ n y x = 1 2 n 3 S x y p 44 Δ n x z = Δ n y z = Δ n z x = Δ n z y = 0

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