Abstract

We theoretically demonstrate the existence of simultaneous large complete photonic and phononic bandgaps in three-dimensional dielectric phoxonic crystals with a simple cubic lattice. These phoxonic crystals consist of dielectric spheres on the cubic lattice sites connected by thin dielectric cylinders. The simultaneous photonic and phononic bandgaps can exist over a wide range of geometry parameters. The vibration modes corresponding to the phononic bandgap edges are the local torsional resonances of the dielectric spheres and rods. Detailed discussion is presented on the variation of the photonic and phononic bandgaps with the geometry of the structure. Optimal geometry which generates large phoxonic bandgaps is suggested.

© 2013 OSA

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  4. 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).
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    [CrossRef]
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    [CrossRef]

2012

N. Papanikolaou, I. E. Psarobas, N. Stefanou, B. Djafari-Rouhani, B. Bonello, and V. Laude, “Light modulation in phoxonic nanocavities,” Microelectron. Eng.90, 155–158 (2012).
[CrossRef]

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]

2011

D. Bria, M. B. Assouar, M. Oudich, Y. Pennec, J. Vasseur, and B. Djafari-Rouhani, “Opening of simultaneous photonic and phononic band gap in two-dimensional square lattice periodic structure,” J. Appl. Phys.109(1), 014507 (2011).
[CrossRef]

Y. Pennec, B. D. 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 Adv.1(4), 041901 (2011).
[CrossRef]

G. Gantzounis, N. Papanikolaou, and N. Stefanou, “Nonlinear interactions between high-Q optical and acoustic modes in dielectric particles,” Phys. Rev. B84(10), 104303 (2011).
[CrossRef]

2010

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. B82(17), 174303 (2010).
[CrossRef]

N. Papanikolaou, I. E. Psarobas, and N. Stefanou, “Absolute spectral gaps for infrared light and hypersound in three-dimensional metallodielectric phoxonic crystals,” Appl. Phys. Lett.96(23), 231917 (2010).
[CrossRef]

S. Mohammadi, A. A. Eftekhar, A. Khelif, and A. Adibi, “Simultaneous two-dimensional phononic and photonic band gaps in opto-mechanical crystal slabs,” Opt. Express18(9), 9164–9172 (2010).
[CrossRef] [PubMed]

Y. Pennec, B. D. 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. Express18(13), 14301–14310 (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. B82(15), 155405 (2010).
[CrossRef]

A. H. Safavi-Naeini and O. Painter, “Design of optomechanical cavities and waveguides on a simultaneous bandgap phononic-photonic crystal slab,” Opt. Express18(14), 14926–14943 (2010).
[CrossRef] [PubMed]

2009

M. Eichenfield, R. M. Camacho, J. Chan, K. J. Vahala, and O. Painter, “A picogram- and nanometre-scale photonic-crystal optomechanical cavity,” Nature459(7246), 550–555 (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,” Nature462(7269), 78–82 (2009).
[CrossRef] [PubMed]

2008

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]

2006

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. Maldovan and E. L. Thomas, “Simultaneous complete elastic and electromagnetic band gaps in periodic structures,” Appl. Phys. B83(4), 595–600 (2006).
[CrossRef]

2005

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]

M. Maldovan and E. L. Thomas, “Photonic crystals: six connected dielectric networks with simple cubic symmetry,” J. Opt. Soc. Am. B22(2), 466–473 (2005).
[CrossRef]

2002

R. Biswas, M. M. Sigalas, K. M. Ho, and S. Y. Lin, “Three-dimensional photonic band gaps in modified simple cubic lattices,” Phys. Rev. B65(20), 205121 (2002).
[CrossRef]

1993

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]

H. S. Sözüer and J. W. Haus, “Photonic bands: simple-cubic lattice,” J. Opt. Soc. Am. B10(2), 296–302 (1993).
[CrossRef]

1987

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett.58(20), 2059–2062 (1987).
[CrossRef] [PubMed]

S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett.58(23), 2486–2489 (1987).
[CrossRef] [PubMed]

Adibi, A.

Akimov, A. V.

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]

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. B82(15), 155405 (2010).
[CrossRef]

Assouar, M. B.

D. Bria, M. B. Assouar, M. Oudich, Y. Pennec, J. Vasseur, and B. Djafari-Rouhani, “Opening of simultaneous photonic and phononic band gap in two-dimensional square lattice periodic structure,” J. Appl. Phys.109(1), 014507 (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).
[CrossRef]

Bayer, M.

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]

Benchabane, S.

Y. Pennec, B. D. 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 Adv.1(4), 041901 (2011).
[CrossRef]

Y. Pennec, B. D. 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. Express18(13), 14301–14310 (2010).
[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]

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).
[CrossRef]

Biswas, R.

R. Biswas, M. M. Sigalas, K. M. Ho, and S. Y. Lin, “Three-dimensional photonic band gaps in modified simple cubic lattices,” Phys. Rev. B65(20), 205121 (2002).
[CrossRef]

Bonello, B.

N. Papanikolaou, I. E. Psarobas, N. Stefanou, B. Djafari-Rouhani, B. Bonello, and V. Laude, “Light modulation in phoxonic nanocavities,” Microelectron. Eng.90, 155–158 (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. B82(17), 174303 (2010).
[CrossRef]

Bou Matar, O.

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. B82(15), 155405 (2010).
[CrossRef]

Bria, D.

D. Bria, M. B. Assouar, M. Oudich, Y. Pennec, J. Vasseur, and B. Djafari-Rouhani, “Opening of simultaneous photonic and phononic band gap in two-dimensional square lattice periodic structure,” J. Appl. Phys.109(1), 014507 (2011).
[CrossRef]

Camacho, R. M.

M. Eichenfield, J. Chan, R. M. Camacho, K. J. Vahala, and O. Painter, “Optomechanical crystals,” Nature462(7269), 78–82 (2009).
[CrossRef] [PubMed]

M. Eichenfield, R. M. Camacho, J. Chan, K. J. Vahala, and O. Painter, “A picogram- and nanometre-scale photonic-crystal optomechanical cavity,” Nature459(7246), 550–555 (2009).
[CrossRef] [PubMed]

Carmon, T.

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]

Chan, J.

M. Eichenfield, R. M. Camacho, J. Chan, K. J. Vahala, and O. Painter, “A picogram- and nanometre-scale photonic-crystal optomechanical cavity,” Nature459(7246), 550–555 (2009).
[CrossRef] [PubMed]

M. Eichenfield, J. Chan, R. M. Camacho, K. J. Vahala, and O. Painter, “Optomechanical crystals,” Nature462(7269), 78–82 (2009).
[CrossRef] [PubMed]

Chiu, C. C.

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]

Djafari Rouhani, B.

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. B82(15), 155405 (2010).
[CrossRef]

Djafari-Rouhani, B.

N. Papanikolaou, I. E. Psarobas, N. Stefanou, B. Djafari-Rouhani, B. Bonello, and V. Laude, “Light modulation in phoxonic nanocavities,” Microelectron. Eng.90, 155–158 (2012).
[CrossRef]

D. Bria, M. B. Assouar, M. Oudich, Y. Pennec, J. Vasseur, and B. Djafari-Rouhani, “Opening of simultaneous photonic and phononic band gap in two-dimensional square lattice periodic structure,” J. Appl. Phys.109(1), 014507 (2011).
[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. B82(17), 174303 (2010).
[CrossRef]

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]

Dobrzynski, L.

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]

Eftekhar, A. A.

Eichenfield, M.

M. Eichenfield, R. M. Camacho, J. Chan, K. J. Vahala, and O. Painter, “A picogram- and nanometre-scale photonic-crystal optomechanical cavity,” Nature459(7246), 550–555 (2009).
[CrossRef] [PubMed]

M. Eichenfield, J. Chan, R. M. Camacho, K. J. Vahala, and O. Painter, “Optomechanical crystals,” Nature462(7269), 78–82 (2009).
[CrossRef] [PubMed]

El Boudouti, E. H.

Y. Pennec, B. D. 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. Express18(13), 14301–14310 (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. B82(15), 155405 (2010).
[CrossRef]

El Hassouani, Y.

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. B82(15), 155405 (2010).
[CrossRef]

Y. Pennec, B. D. 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. Express18(13), 14301–14310 (2010).
[CrossRef] [PubMed]

Escalante, J. M.

Y. Pennec, B. D. 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 Adv.1(4), 041901 (2011).
[CrossRef]

Gantzounis, G.

G. Gantzounis, N. Papanikolaou, and N. Stefanou, “Nonlinear interactions between high-Q optical and acoustic modes in dielectric particles,” Phys. Rev. B84(10), 104303 (2011).
[CrossRef]

Golubev, V. G.

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]

Halevi, P.

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]

Haus, J. W.

Ho, K. M.

R. Biswas, M. M. Sigalas, K. M. Ho, and S. Y. Lin, “Three-dimensional photonic band gaps in modified simple cubic lattices,” Phys. Rev. B65(20), 205121 (2002).
[CrossRef]

Hsiao, F. L.

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]

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).
[CrossRef]

Hsieh, H. 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).
[CrossRef]

John, S.

S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett.58(23), 2486–2489 (1987).
[CrossRef] [PubMed]

Kaplan, S. F.

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]

Khelif, A.

Kippenberg, T. J.

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]

Kushwaha, M. S.

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]

Larabi, H.

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. B82(15), 155405 (2010).
[CrossRef]

Laude, V.

N. Papanikolaou, I. E. Psarobas, N. Stefanou, B. Djafari-Rouhani, B. Bonello, and V. Laude, “Light modulation in phoxonic nanocavities,” Microelectron. Eng.90, 155–158 (2012).
[CrossRef]

Y. Pennec, B. D. 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 Adv.1(4), 041901 (2011).
[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. B82(17), 174303 (2010).
[CrossRef]

Y. Pennec, B. D. 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. Express18(13), 14301–14310 (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. B82(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]

Li, C.

Y. Pennec, B. D. 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 Adv.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. B82(15), 155405 (2010).
[CrossRef]

Y. Pennec, B. D. 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. Express18(13), 14301–14310 (2010).
[CrossRef] [PubMed]

Lin, S. Y.

R. Biswas, M. M. Sigalas, K. M. Ho, and S. Y. Lin, “Three-dimensional photonic band gaps in modified simple cubic lattices,” Phys. Rev. B65(20), 205121 (2002).
[CrossRef]

Maldovan, M.

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. Maldovan and E. L. Thomas, “Simultaneous complete elastic and electromagnetic band gaps in periodic structures,” Appl. Phys. B83(4), 595–600 (2006).
[CrossRef]

M. Maldovan and E. L. Thomas, “Photonic crystals: six connected dielectric networks with simple cubic symmetry,” J. Opt. Soc. Am. B22(2), 466–473 (2005).
[CrossRef]

Martinez, A.

Y. Pennec, B. D. 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 Adv.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. B82(15), 155405 (2010).
[CrossRef]

Y. Pennec, B. D. 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. Express18(13), 14301–14310 (2010).
[CrossRef] [PubMed]

Mohammadi, S.

Oudich, M.

D. Bria, M. B. Assouar, M. Oudich, Y. Pennec, J. Vasseur, and B. Djafari-Rouhani, “Opening of simultaneous photonic and phononic band gap in two-dimensional square lattice periodic structure,” J. Appl. Phys.109(1), 014507 (2011).
[CrossRef]

Painter, O.

A. H. Safavi-Naeini and O. Painter, “Design of optomechanical cavities and waveguides on a simultaneous bandgap phononic-photonic crystal slab,” Opt. Express18(14), 14926–14943 (2010).
[CrossRef] [PubMed]

M. Eichenfield, J. Chan, R. M. Camacho, K. J. Vahala, and O. Painter, “Optomechanical crystals,” Nature462(7269), 78–82 (2009).
[CrossRef] [PubMed]

M. Eichenfield, R. M. Camacho, J. Chan, K. J. Vahala, and O. Painter, “A picogram- and nanometre-scale photonic-crystal optomechanical cavity,” Nature459(7246), 550–555 (2009).
[CrossRef] [PubMed]

Papanikolaou, N.

N. Papanikolaou, I. E. Psarobas, N. Stefanou, B. Djafari-Rouhani, B. Bonello, and V. Laude, “Light modulation in phoxonic nanocavities,” Microelectron. Eng.90, 155–158 (2012).
[CrossRef]

Y. Pennec, B. D. 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 Adv.1(4), 041901 (2011).
[CrossRef]

G. Gantzounis, N. Papanikolaou, and N. Stefanou, “Nonlinear interactions between high-Q optical and acoustic modes in dielectric particles,” Phys. Rev. B84(10), 104303 (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. B82(15), 155405 (2010).
[CrossRef]

Y. Pennec, B. D. 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. Express18(13), 14301–14310 (2010).
[CrossRef] [PubMed]

N. Papanikolaou, I. E. Psarobas, and N. Stefanou, “Absolute spectral gaps for infrared light and hypersound in three-dimensional metallodielectric phoxonic crystals,” Appl. Phys. Lett.96(23), 231917 (2010).
[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. B82(17), 174303 (2010).
[CrossRef]

Pennec, Y.

Y. Pennec, B. D. 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 Adv.1(4), 041901 (2011).
[CrossRef]

D. Bria, M. B. Assouar, M. Oudich, Y. Pennec, J. Vasseur, and B. Djafari-Rouhani, “Opening of simultaneous photonic and phononic band gap in two-dimensional square lattice periodic structure,” J. Appl. Phys.109(1), 014507 (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. B82(15), 155405 (2010).
[CrossRef]

Y. Pennec, B. D. 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. Express18(13), 14301–14310 (2010).
[CrossRef] [PubMed]

Pevtsov, A. B.

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]

Psarobas, I. E.

N. Papanikolaou, I. E. Psarobas, N. Stefanou, B. Djafari-Rouhani, B. Bonello, and V. Laude, “Light modulation in phoxonic nanocavities,” Microelectron. Eng.90, 155–158 (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. B82(17), 174303 (2010).
[CrossRef]

N. Papanikolaou, I. E. Psarobas, and N. Stefanou, “Absolute spectral gaps for infrared light and hypersound in three-dimensional metallodielectric phoxonic crystals,” Appl. Phys. Lett.96(23), 231917 (2010).
[CrossRef]

Rokhsari, H.

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]

Rouhani, B. D.

Y. Pennec, B. D. 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 Adv.1(4), 041901 (2011).
[CrossRef]

Y. Pennec, B. D. 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. Express18(13), 14301–14310 (2010).
[CrossRef] [PubMed]

Sadat-Saleh, S.

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]

Safavi-Naeini, A. H.

Sigalas, M. M.

R. Biswas, M. M. Sigalas, K. M. Ho, and S. Y. Lin, “Three-dimensional photonic band gaps in modified simple cubic lattices,” Phys. Rev. B65(20), 205121 (2002).
[CrossRef]

Sözüer, H. S.

Stefanou, N.

N. Papanikolaou, I. E. Psarobas, N. Stefanou, B. Djafari-Rouhani, B. Bonello, and V. Laude, “Light modulation in phoxonic nanocavities,” Microelectron. Eng.90, 155–158 (2012).
[CrossRef]

G. Gantzounis, N. Papanikolaou, and N. Stefanou, “Nonlinear interactions between high-Q optical and acoustic modes in dielectric particles,” Phys. Rev. B84(10), 104303 (2011).
[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. B82(17), 174303 (2010).
[CrossRef]

N. Papanikolaou, I. E. Psarobas, and N. Stefanou, “Absolute spectral gaps for infrared light and hypersound in three-dimensional metallodielectric phoxonic crystals,” Appl. Phys. Lett.96(23), 231917 (2010).
[CrossRef]

Tamura, S.

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]

Tanaka, Y.

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]

Thomas, E. L.

M. Maldovan and E. L. Thomas, “Simultaneous complete elastic and electromagnetic band gaps in periodic structures,” Appl. Phys. B83(4), 595–600 (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]

M. Maldovan and E. L. Thomas, “Photonic crystals: six connected dielectric networks with simple cubic symmetry,” J. Opt. Soc. Am. B22(2), 466–473 (2005).
[CrossRef]

Vahala, K. J.

M. Eichenfield, J. Chan, R. M. Camacho, K. J. Vahala, and O. Painter, “Optomechanical crystals,” Nature462(7269), 78–82 (2009).
[CrossRef] [PubMed]

M. Eichenfield, R. M. Camacho, J. Chan, K. J. Vahala, and O. Painter, “A picogram- and nanometre-scale photonic-crystal optomechanical cavity,” Nature459(7246), 550–555 (2009).
[CrossRef] [PubMed]

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]

Vasseur, J.

D. Bria, M. B. Assouar, M. Oudich, Y. Pennec, J. Vasseur, and B. Djafari-Rouhani, “Opening of simultaneous photonic and phononic band gap in two-dimensional square lattice periodic structure,” J. Appl. Phys.109(1), 014507 (2011).
[CrossRef]

Vasseur, J. O.

Yablonovitch, E.

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett.58(20), 2059–2062 (1987).
[CrossRef] [PubMed]

Yakovlev, D. R.

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]

Yang, L.

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]

AIP Adv.

Y. Pennec, B. D. 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 Adv.1(4), 041901 (2011).
[CrossRef]

Appl. Phys. B

M. Maldovan and E. L. Thomas, “Simultaneous complete elastic and electromagnetic band gaps in periodic structures,” Appl. Phys. B83(4), 595–600 (2006).
[CrossRef]

Appl. Phys. Lett.

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]

N. Papanikolaou, I. E. Psarobas, and N. Stefanou, “Absolute spectral gaps for infrared light and hypersound in three-dimensional metallodielectric phoxonic crystals,” Appl. Phys. Lett.96(23), 231917 (2010).
[CrossRef]

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]

J. Appl. Phys.

D. Bria, M. B. Assouar, M. Oudich, Y. Pennec, J. Vasseur, and B. Djafari-Rouhani, “Opening of simultaneous photonic and phononic band gap in two-dimensional square lattice periodic structure,” J. Appl. Phys.109(1), 014507 (2011).
[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]

J. Opt. Soc. Am. B

Microelectron. Eng.

N. Papanikolaou, I. E. Psarobas, N. Stefanou, B. Djafari-Rouhani, B. Bonello, and V. Laude, “Light modulation in phoxonic nanocavities,” Microelectron. Eng.90, 155–158 (2012).
[CrossRef]

Nature

M. Eichenfield, R. M. Camacho, J. Chan, K. J. Vahala, and O. Painter, “A picogram- and nanometre-scale photonic-crystal optomechanical cavity,” Nature459(7246), 550–555 (2009).
[CrossRef] [PubMed]

M. Eichenfield, J. Chan, R. M. Camacho, K. J. Vahala, and O. Painter, “Optomechanical crystals,” Nature462(7269), 78–82 (2009).
[CrossRef] [PubMed]

Opt. Express

Phys. Rev. B

G. Gantzounis, N. Papanikolaou, and N. Stefanou, “Nonlinear interactions between high-Q optical and acoustic modes in dielectric particles,” Phys. Rev. B84(10), 104303 (2011).
[CrossRef]

R. Biswas, M. M. Sigalas, K. M. Ho, and S. Y. Lin, “Three-dimensional photonic band gaps in modified simple cubic lattices,” Phys. Rev. B65(20), 205121 (2002).
[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. B82(15), 155405 (2010).
[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. B82(17), 174303 (2010).
[CrossRef]

Phys. Rev. Lett.

E. Yablonovitch, “Inhibited spontaneous emission in solid-state physics and electronics,” Phys. Rev. Lett.58(20), 2059–2062 (1987).
[CrossRef] [PubMed]

S. John, “Strong localization of photons in certain disordered dielectric superlattices,” Phys. Rev. Lett.58(23), 2486–2489 (1987).
[CrossRef] [PubMed]

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]

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]

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]

Other

COMSOL Group, “COMSOL Multiphysics,” http://www.comsol.com/

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Figures (5)

Fig. 1
Fig. 1

Phononic (a) and photonic (b) band structures of the SC lattice PXC with the cylinder radius r = 0.1a and sphere radius R = 0.375a, displaying complete phononic and photonic bandgaps between bands 6 and 7, 5 and 6, respectively. The high-symmetry points follow usual conventions where Γ = (0 0 0), X = (0.5 0 0), M = (0.5 0.5 0) and R = (0.5 0.5 0.5). The inset panel of Fig. 1(b) is the schematic diagram of the 3D SC lattice PXCs consisting of dielectric spheres on the cubic lattice sites connected by thin dielectric cylinders.

Fig. 2
Fig. 2

Variations of the phononic (a) and photonic (b) bandgaps as functions of the cylinder radius (r/a) with the dielectric sphere radius R = 0.35a. The shadowed areas correspond to the complete bandgaps.

Fig. 3
Fig. 3

Variations of the phononic (a) and photonic (b) bandgaps as functions of the sphere radius (R/a) with the dielectric cylinder radius r = 0.1a. The shadowed areas correspond to the complete bandgaps.

Fig. 4
Fig. 4

Variations of the gap-to-midgap ratio of the first phononic (a) and photonic (b) bandgaps with the sphere radius R/a and cylinder radius r/a.

Fig. 5
Fig. 5

Vibration modes of the SC lattice PXC at the bandgap edges corresponding to Fig. 1(a). Lower-edge modes (point A) in (a) XY, (b) YZ, (c) ZX cross-sections; upper-edge modes in (d) XY, (e) YZ, (f) ZX cross-sections; panels (g) and (h) correspond to the lower-edge modes (point C) and upper-edge modes (point D) in 3D view, respectively.

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