Abstract

We study simultaneous photonic and phononic crystal slabs created in Z-cut lithium niobate membranes. Bandgaps for guided waves are identified using the three-dimensional finite element method (FEM). Three lattices are considered: the square, the hexagonal, and the honeycomb lattices. We investigate the evolution of band gaps as a function of geometrical parameters such as hole radius and membrane thickness. We show the existence of dual photonic and phononic bandgaps in the triangular lattice for suitable geometrical parameters and specific modal symmetries for both the elastic and the electromagnetic fields.

© 2014 Optical Society of America

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  24. V. Laude, J. C. Beugnot, S. Benchabane, Y. Pennec, B. Djafari-Rouhani, N. Papanikolaou, J. M. Escalante, and A. Martinez, “Simultaneous guidance of slow photons and slow acoustic phonons in silicon phoxonic crystal slabs,” Opt. Express19(10), 9690–9698 (2011).
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    [CrossRef]
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    [CrossRef]
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2014

S. Hemon, A. Akjouj, A. Soltani, Y. Pennec, Y. El Hassouani, A. Talbi, V. Mortet, and B. Djafari-Rouhani, “Hypersonic band gap in an AlN-TiN bilayer phononic crystal slab,” Appl. Phys. Lett.104(6), 063101 (2014).
[CrossRef]

2013

J. Deng, S. Hussain, V. Sudheer Kumar, W. Jia, C. Eng Png, L. Soon Thor, A. A. Bettiol, and A. J. Danner, “Modeling and experimental investigations of Fano resonances in free-standing LiNbO3 photonic crystal slabs (Fabrication),” Opt. Express21(3), 3243 (2013).
[CrossRef]

S. Diziain, R. Geiss, M. Zilk, F. Schrempel, E.-B. Kley, A. Tünnermann, and T. Pertsch, “Second harmonic generation in free-standing lithium niobate photonic crystal L3 cavity,” Appl. Phys. Lett.103(5), 051117 (2013).
[CrossRef]

2012

D. Yudistira, Y. Pennec, B. Djafari Rouhani, S. Dupont, and V. Laude, “Non-radiative complete surface acoustic wave bandgap for finite-depth holey phononic crystal in lithium niobate,” Appl. Phys. Lett.100(6), 061912 (2012).
[CrossRef]

P. Geng, W. Zhang, H. Zhang, S. Zhang, J. Ruan, S. Wei, and X. Xue, “Design of Broadband Single-Polarization Single-Mode Photonic Crystal Fiber Based on Index-Matching Coupling,” IEEE Photon. Technol. Lett.24(6), 452–454 (2012).
[CrossRef]

2011

V. Laude, J. C. Beugnot, S. Benchabane, Y. Pennec, B. Djafari-Rouhani, N. Papanikolaou, J. M. Escalante, and A. Martinez, “Simultaneous guidance of slow photons and slow acoustic phonons in silicon phoxonic crystal slabs,” Opt. Express19(10), 9690–9698 (2011).
[CrossRef] [PubMed]

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. B83(10), 104201 (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 Advances1(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-dimentional square lattice periodic structure,” Appl. Phys. (Berl.)109(1), 014507 (2011).
[CrossRef]

2010

H. Hartung, E.-B. Kley, T. Gischkat, F. Schrempel, W. Wesch, and A. Tünnermann, “Ultra thin high index contrast photonic crystal slabs in lithium niobate,” Opt. Mater.33(1), 19–21 (2010).
[CrossRef]

R. Geiss, S. Diziain, R. Iliew, C. Etrich, H. Hartung, N. Janunts, F. Schrempel, F. Lederer, T. Pertsch, and E.-B. Kley, “Light propagation in a free-standing lithium niobate photonic crystal waveguide,” Appl. Phys. Lett.97(13), 131109 (2010).
[CrossRef]

Y. Pennec, J. Vasseur, B. Djafari-Rouhani, L. Dobrzynski, and P. A. Deymier, “Two-dimensional phononic crystals: Examples and applications,” Surf. Sci. Rep.65(8), 229–291 (2010).
[CrossRef]

N. Courjal, S. Benchabane, J. Dahdah, G. Ulliac, Y. Gruson, and V. Laude, “Acousto-optically tunable lithium niobate photonic crystal,” Appl. Phys. Lett.96(13), 131103 (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. B81(21), 214303 (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. Djafari Rouhani, E. H. El Boudouti, C. Li, Y. El Hassouani, J. O. Vasseur, N. Papanikolaou, S. Benchabane, V. Laude, and A. Martinez, “Simultaneous existence of phononic and photonic band gaps in periodic crystal slabs,” Opt. 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]

2009

F. Schrempel, T. Gischkat, H. Hartung, T. Höche, E.-B. Kley, A. Tünnermann, and W. Wesch, “Ultrathin membranes in x-cut lithium niobate,” Opt. Lett.34(9), 1426–1428 (2009).
[CrossRef] [PubMed]

S. Sadat-Saleh, S. Benchabane, F. Issam Baida, M. P. Bernal, and V. Laude, “Tailoring simultaneous photonic and phononic band gaps,” J. Appl. Phys.106(7), 074912 (2009).
[CrossRef]

2008

2007

A. Guarino, G. Poberaj, D. Rezzonico, R. Degl’Innocenti, and P. Günter, “Electro-optically tunable microring resonators in lithium niobate,”,” Nat. Photonics1(7), 407–410 (2007).
[CrossRef]

2006

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

2002

M. Jazbinsek and M. Zgonik, “Material tensor parameters of LiNbO3 relevant for electro- and elasto-optics,” Appl. Phys. B74(4-5), 407–414 (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]

1992

M. M. Sigalas and E. N. Economou, “Elastic and acoustic wave band structure,” J. Sound Vibrat.158(2), 377–382 (1992).
[CrossRef]

1987

E. Yablonovitch, “Inhibited Spontaneous Emission in Solid-State Physics and Electronics,” Phys. Rev. Lett.58(20), 2059–2062 (1987).
[CrossRef] [PubMed]

1985

R. S. Weis and T. K. Gaylord, “Lithium niobate: Summary of physical properties and crystal structure,” Appl. Phys., A Mater. Sci. Process.37(4), 191–203 (1985).
[CrossRef]

Achaoui, Y.

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. B83(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. B81(21), 214303 (2010).
[CrossRef]

Adibi, A.

Akjouj, A.

S. Hemon, A. Akjouj, A. Soltani, Y. Pennec, Y. El Hassouani, A. Talbi, V. Mortet, and B. Djafari-Rouhani, “Hypersonic band gap in an AlN-TiN bilayer phononic crystal slab,” Appl. Phys. Lett.104(6), 063101 (2014).
[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]

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. B81(21), 214303 (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-dimentional square lattice periodic structure,” Appl. Phys. (Berl.)109(1), 014507 (2011).
[CrossRef]

Benchabane, S.

V. Laude, J. C. Beugnot, S. Benchabane, Y. Pennec, B. Djafari-Rouhani, N. Papanikolaou, J. M. Escalante, and A. Martinez, “Simultaneous guidance of slow photons and slow acoustic phonons in silicon phoxonic crystal slabs,” Opt. Express19(10), 9690–9698 (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 Advances1(4), 041901 (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. B83(10), 104201 (2011).
[CrossRef]

Y. Pennec, B. Djafari Rouhani, E. H. El Boudouti, C. Li, Y. El Hassouani, J. O. Vasseur, N. Papanikolaou, S. Benchabane, V. Laude, and A. Martinez, “Simultaneous existence of phononic and photonic band gaps in periodic crystal slabs,” Opt. Express18(13), 14301–14310 (2010).
[CrossRef] [PubMed]

N. Courjal, S. Benchabane, J. Dahdah, G. Ulliac, Y. Gruson, and V. Laude, “Acousto-optically tunable lithium niobate photonic crystal,” Appl. Phys. Lett.96(13), 131103 (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. B81(21), 214303 (2010).
[CrossRef]

S. Sadat-Saleh, S. Benchabane, F. Issam 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. Issam 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.

Bettiol, A. A.

Beugnot, J. C.

Bostan, C. G.

C. G. Bostan, P. Schiopu, and O. Mita, Proc. SPIE7297, 72971M (2009).

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-dimentional square lattice periodic structure,” Appl. Phys. (Berl.)109(1), 014507 (2011).
[CrossRef]

Burr, G. W.

Courjal, N.

N. Courjal, S. Benchabane, J. Dahdah, G. Ulliac, Y. Gruson, and V. Laude, “Acousto-optically tunable lithium niobate photonic crystal,” Appl. Phys. Lett.96(13), 131103 (2010).
[CrossRef]

Dahdah, J.

N. Courjal, S. Benchabane, J. Dahdah, G. Ulliac, Y. Gruson, and V. Laude, “Acousto-optically tunable lithium niobate photonic crystal,” Appl. Phys. Lett.96(13), 131103 (2010).
[CrossRef]

Danner, A. J.

Degl’Innocenti, R.

A. Guarino, G. Poberaj, D. Rezzonico, R. Degl’Innocenti, and P. Günter, “Electro-optically tunable microring resonators in lithium niobate,”,” Nat. Photonics1(7), 407–410 (2007).
[CrossRef]

Deng, J.

Deymier, P. A.

Y. Pennec, J. Vasseur, B. Djafari-Rouhani, L. Dobrzynski, and P. A. Deymier, “Two-dimensional phononic crystals: Examples and applications,” Surf. Sci. Rep.65(8), 229–291 (2010).
[CrossRef]

Diziain, S.

S. Diziain, R. Geiss, M. Zilk, F. Schrempel, E.-B. Kley, A. Tünnermann, and T. Pertsch, “Second harmonic generation in free-standing lithium niobate photonic crystal L3 cavity,” Appl. Phys. Lett.103(5), 051117 (2013).
[CrossRef]

R. Geiss, S. Diziain, R. Iliew, C. Etrich, H. Hartung, N. Janunts, F. Schrempel, F. Lederer, T. Pertsch, and E.-B. Kley, “Light propagation in a free-standing lithium niobate photonic crystal waveguide,” Appl. Phys. Lett.97(13), 131109 (2010).
[CrossRef]

G. W. Burr, S. Diziain, and M.-P. Bernal, “The impact of finite-depth cylindrical and conical holes in lithium niobate photonic crystals,” Opt. Express16(9), 6302–6316 (2008).
[CrossRef] [PubMed]

Djafari Rouhani, B.

D. Yudistira, Y. Pennec, B. Djafari Rouhani, S. Dupont, and V. Laude, “Non-radiative complete surface acoustic wave bandgap for finite-depth holey phononic crystal in lithium niobate,” Appl. Phys. Lett.100(6), 061912 (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 Advances1(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. Djafari Rouhani, E. H. El Boudouti, C. Li, Y. El Hassouani, J. O. Vasseur, N. Papanikolaou, S. Benchabane, V. Laude, and A. Martinez, “Simultaneous existence of phononic and photonic band gaps in periodic crystal slabs,” Opt. Express18(13), 14301–14310 (2010).
[CrossRef] [PubMed]

Djafari-Rouhani, B.

S. Hemon, A. Akjouj, A. Soltani, Y. Pennec, Y. El Hassouani, A. Talbi, V. Mortet, and B. Djafari-Rouhani, “Hypersonic band gap in an AlN-TiN bilayer phononic crystal slab,” Appl. Phys. Lett.104(6), 063101 (2014).
[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-dimentional square lattice periodic structure,” Appl. Phys. (Berl.)109(1), 014507 (2011).
[CrossRef]

V. Laude, J. C. Beugnot, S. Benchabane, Y. Pennec, B. Djafari-Rouhani, N. Papanikolaou, J. M. Escalante, and A. Martinez, “Simultaneous guidance of slow photons and slow acoustic phonons in silicon phoxonic crystal slabs,” Opt. Express19(10), 9690–9698 (2011).
[CrossRef] [PubMed]

Y. Pennec, J. Vasseur, B. Djafari-Rouhani, L. Dobrzynski, and P. A. Deymier, “Two-dimensional phononic crystals: Examples and applications,” Surf. Sci. Rep.65(8), 229–291 (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.

Y. Pennec, J. Vasseur, B. Djafari-Rouhani, L. Dobrzynski, and P. A. Deymier, “Two-dimensional phononic crystals: Examples and applications,” Surf. Sci. Rep.65(8), 229–291 (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]

Dupont, S.

D. Yudistira, Y. Pennec, B. Djafari Rouhani, S. Dupont, and V. Laude, “Non-radiative complete surface acoustic wave bandgap for finite-depth holey phononic crystal in lithium niobate,” Appl. Phys. Lett.100(6), 061912 (2012).
[CrossRef]

Economou, E. N.

M. M. Sigalas and E. N. Economou, “Elastic and acoustic wave band structure,” J. Sound Vibrat.158(2), 377–382 (1992).
[CrossRef]

Eftekhar, A. A.

El Boudouti, E. H.

Y. Pennec, B. Djafari Rouhani, E. H. El Boudouti, C. Li, Y. El Hassouani, J. O. Vasseur, N. Papanikolaou, S. Benchabane, V. Laude, and A. Martinez, “Simultaneous existence of phononic and photonic band gaps in periodic crystal slabs,” Opt. 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.

S. Hemon, A. Akjouj, A. Soltani, Y. Pennec, Y. El Hassouani, A. Talbi, V. Mortet, and B. Djafari-Rouhani, “Hypersonic band gap in an AlN-TiN bilayer phononic crystal slab,” Appl. Phys. Lett.104(6), 063101 (2014).
[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. Djafari Rouhani, E. H. El Boudouti, C. Li, Y. El Hassouani, J. O. Vasseur, N. Papanikolaou, S. Benchabane, V. Laude, and A. Martinez, “Simultaneous existence of phononic and photonic band gaps in periodic crystal slabs,” Opt. Express18(13), 14301–14310 (2010).
[CrossRef] [PubMed]

Eng Png, C.

Escalante, J. M.

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 Advances1(4), 041901 (2011).
[CrossRef]

V. Laude, J. C. Beugnot, S. Benchabane, Y. Pennec, B. Djafari-Rouhani, N. Papanikolaou, J. M. Escalante, and A. Martinez, “Simultaneous guidance of slow photons and slow acoustic phonons in silicon phoxonic crystal slabs,” Opt. Express19(10), 9690–9698 (2011).
[CrossRef] [PubMed]

Etrich, C.

R. Geiss, S. Diziain, R. Iliew, C. Etrich, H. Hartung, N. Janunts, F. Schrempel, F. Lederer, T. Pertsch, and E.-B. Kley, “Light propagation in a free-standing lithium niobate photonic crystal waveguide,” Appl. Phys. Lett.97(13), 131109 (2010).
[CrossRef]

Gaylord, T. K.

R. S. Weis and T. K. Gaylord, “Lithium niobate: Summary of physical properties and crystal structure,” Appl. Phys., A Mater. Sci. Process.37(4), 191–203 (1985).
[CrossRef]

Geiss, R.

S. Diziain, R. Geiss, M. Zilk, F. Schrempel, E.-B. Kley, A. Tünnermann, and T. Pertsch, “Second harmonic generation in free-standing lithium niobate photonic crystal L3 cavity,” Appl. Phys. Lett.103(5), 051117 (2013).
[CrossRef]

R. Geiss, S. Diziain, R. Iliew, C. Etrich, H. Hartung, N. Janunts, F. Schrempel, F. Lederer, T. Pertsch, and E.-B. Kley, “Light propagation in a free-standing lithium niobate photonic crystal waveguide,” Appl. Phys. Lett.97(13), 131109 (2010).
[CrossRef]

Geng, P.

P. Geng, W. Zhang, H. Zhang, S. Zhang, J. Ruan, S. Wei, and X. Xue, “Design of Broadband Single-Polarization Single-Mode Photonic Crystal Fiber Based on Index-Matching Coupling,” IEEE Photon. Technol. Lett.24(6), 452–454 (2012).
[CrossRef]

Gischkat, T.

H. Hartung, E.-B. Kley, T. Gischkat, F. Schrempel, W. Wesch, and A. Tünnermann, “Ultra thin high index contrast photonic crystal slabs in lithium niobate,” Opt. Mater.33(1), 19–21 (2010).
[CrossRef]

F. Schrempel, T. Gischkat, H. Hartung, T. Höche, E.-B. Kley, A. Tünnermann, and W. Wesch, “Ultrathin membranes in x-cut lithium niobate,” Opt. Lett.34(9), 1426–1428 (2009).
[CrossRef] [PubMed]

Gruson, Y.

N. Courjal, S. Benchabane, J. Dahdah, G. Ulliac, Y. Gruson, and V. Laude, “Acousto-optically tunable lithium niobate photonic crystal,” Appl. Phys. Lett.96(13), 131103 (2010).
[CrossRef]

Guarino, A.

A. Guarino, G. Poberaj, D. Rezzonico, R. Degl’Innocenti, and P. Günter, “Electro-optically tunable microring resonators in lithium niobate,”,” Nat. Photonics1(7), 407–410 (2007).
[CrossRef]

Günter, P.

A. Guarino, G. Poberaj, D. Rezzonico, R. Degl’Innocenti, and P. Günter, “Electro-optically tunable microring resonators in lithium niobate,”,” Nat. Photonics1(7), 407–410 (2007).
[CrossRef]

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]

Hartung, H.

R. Geiss, S. Diziain, R. Iliew, C. Etrich, H. Hartung, N. Janunts, F. Schrempel, F. Lederer, T. Pertsch, and E.-B. Kley, “Light propagation in a free-standing lithium niobate photonic crystal waveguide,” Appl. Phys. Lett.97(13), 131109 (2010).
[CrossRef]

H. Hartung, E.-B. Kley, T. Gischkat, F. Schrempel, W. Wesch, and A. Tünnermann, “Ultra thin high index contrast photonic crystal slabs in lithium niobate,” Opt. Mater.33(1), 19–21 (2010).
[CrossRef]

F. Schrempel, T. Gischkat, H. Hartung, T. Höche, E.-B. Kley, A. Tünnermann, and W. Wesch, “Ultrathin membranes in x-cut lithium niobate,” Opt. Lett.34(9), 1426–1428 (2009).
[CrossRef] [PubMed]

Hemon, S.

S. Hemon, A. Akjouj, A. Soltani, Y. Pennec, Y. El Hassouani, A. Talbi, V. Mortet, and B. Djafari-Rouhani, “Hypersonic band gap in an AlN-TiN bilayer phononic crystal slab,” Appl. Phys. Lett.104(6), 063101 (2014).
[CrossRef]

Höche, T.

Hussain, S.

Iliew, R.

R. Geiss, S. Diziain, R. Iliew, C. Etrich, H. Hartung, N. Janunts, F. Schrempel, F. Lederer, T. Pertsch, and E.-B. Kley, “Light propagation in a free-standing lithium niobate photonic crystal waveguide,” Appl. Phys. Lett.97(13), 131109 (2010).
[CrossRef]

Issam Baida, F.

S. Sadat-Saleh, S. Benchabane, F. Issam Baida, M. P. Bernal, and V. Laude, “Tailoring simultaneous photonic and phononic band gaps,” J. Appl. Phys.106(7), 074912 (2009).
[CrossRef]

Janunts, N.

R. Geiss, S. Diziain, R. Iliew, C. Etrich, H. Hartung, N. Janunts, F. Schrempel, F. Lederer, T. Pertsch, and E.-B. Kley, “Light propagation in a free-standing lithium niobate photonic crystal waveguide,” Appl. Phys. Lett.97(13), 131109 (2010).
[CrossRef]

Jazbinsek, M.

M. Jazbinsek and M. Zgonik, “Material tensor parameters of LiNbO3 relevant for electro- and elasto-optics,” Appl. Phys. B74(4-5), 407–414 (2002).
[CrossRef]

Jia, W.

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. B83(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. B81(21), 214303 (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]

Kley, E.-B.

S. Diziain, R. Geiss, M. Zilk, F. Schrempel, E.-B. Kley, A. Tünnermann, and T. Pertsch, “Second harmonic generation in free-standing lithium niobate photonic crystal L3 cavity,” Appl. Phys. Lett.103(5), 051117 (2013).
[CrossRef]

H. Hartung, E.-B. Kley, T. Gischkat, F. Schrempel, W. Wesch, and A. Tünnermann, “Ultra thin high index contrast photonic crystal slabs in lithium niobate,” Opt. Mater.33(1), 19–21 (2010).
[CrossRef]

R. Geiss, S. Diziain, R. Iliew, C. Etrich, H. Hartung, N. Janunts, F. Schrempel, F. Lederer, T. Pertsch, and E.-B. Kley, “Light propagation in a free-standing lithium niobate photonic crystal waveguide,” Appl. Phys. Lett.97(13), 131109 (2010).
[CrossRef]

F. Schrempel, T. Gischkat, H. Hartung, T. Höche, E.-B. Kley, A. Tünnermann, and W. Wesch, “Ultrathin membranes in x-cut lithium niobate,” Opt. Lett.34(9), 1426–1428 (2009).
[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.

D. Yudistira, Y. Pennec, B. Djafari Rouhani, S. Dupont, and V. Laude, “Non-radiative complete surface acoustic wave bandgap for finite-depth holey phononic crystal in lithium niobate,” Appl. Phys. Lett.100(6), 061912 (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 Advances1(4), 041901 (2011).
[CrossRef]

V. Laude, J. C. Beugnot, S. Benchabane, Y. Pennec, B. Djafari-Rouhani, N. Papanikolaou, J. M. Escalante, and A. Martinez, “Simultaneous guidance of slow photons and slow acoustic phonons in silicon phoxonic crystal slabs,” Opt. Express19(10), 9690–9698 (2011).
[CrossRef] [PubMed]

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. B83(10), 104201 (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. Djafari Rouhani, E. H. El Boudouti, C. Li, Y. El Hassouani, J. O. Vasseur, N. Papanikolaou, S. Benchabane, V. Laude, and A. Martinez, “Simultaneous existence of phononic and photonic band gaps in periodic crystal slabs,” Opt. Express18(13), 14301–14310 (2010).
[CrossRef] [PubMed]

N. Courjal, S. Benchabane, J. Dahdah, G. Ulliac, Y. Gruson, and V. Laude, “Acousto-optically tunable lithium niobate photonic crystal,” Appl. Phys. Lett.96(13), 131103 (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. B81(21), 214303 (2010).
[CrossRef]

S. Sadat-Saleh, S. Benchabane, F. Issam Baida, M. P. Bernal, and V. Laude, “Tailoring simultaneous photonic and phononic band gaps,” J. Appl. Phys.106(7), 074912 (2009).
[CrossRef]

Lederer, F.

R. Geiss, S. Diziain, R. Iliew, C. Etrich, H. Hartung, N. Janunts, F. Schrempel, F. Lederer, T. Pertsch, and E.-B. Kley, “Light propagation in a free-standing lithium niobate photonic crystal waveguide,” Appl. Phys. Lett.97(13), 131109 (2010).
[CrossRef]

Li, C.

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 Advances1(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. Djafari Rouhani, E. H. El Boudouti, C. Li, Y. El Hassouani, J. O. Vasseur, N. Papanikolaou, S. Benchabane, V. Laude, and A. Martinez, “Simultaneous existence of phononic and photonic band gaps in periodic crystal slabs,” Opt. Express18(13), 14301–14310 (2010).
[CrossRef] [PubMed]

Maldovan, M.

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

Martinez, A.

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 Advances1(4), 041901 (2011).
[CrossRef]

V. Laude, J. C. Beugnot, S. Benchabane, Y. Pennec, B. Djafari-Rouhani, N. Papanikolaou, J. M. Escalante, and A. Martinez, “Simultaneous guidance of slow photons and slow acoustic phonons in silicon phoxonic crystal slabs,” Opt. Express19(10), 9690–9698 (2011).
[CrossRef] [PubMed]

Y. Pennec, B. Djafari Rouhani, E. H. El Boudouti, C. Li, Y. El Hassouani, J. O. Vasseur, N. Papanikolaou, S. Benchabane, V. Laude, and A. Martinez, “Simultaneous existence of phononic and photonic band gaps in periodic crystal slabs,” Opt. 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]

Mita, O.

C. G. Bostan, P. Schiopu, and O. Mita, Proc. SPIE7297, 72971M (2009).

Mohammadi, S.

Mortet, V.

S. Hemon, A. Akjouj, A. Soltani, Y. Pennec, Y. El Hassouani, A. Talbi, V. Mortet, and B. Djafari-Rouhani, “Hypersonic band gap in an AlN-TiN bilayer phononic crystal slab,” Appl. Phys. Lett.104(6), 063101 (2014).
[CrossRef]

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-dimentional square lattice periodic structure,” Appl. Phys. (Berl.)109(1), 014507 (2011).
[CrossRef]

Papanikolaou, N.

V. Laude, J. C. Beugnot, S. Benchabane, Y. Pennec, B. Djafari-Rouhani, N. Papanikolaou, J. M. Escalante, and A. Martinez, “Simultaneous guidance of slow photons and slow acoustic phonons in silicon phoxonic crystal slabs,” Opt. Express19(10), 9690–9698 (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 Advances1(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. Djafari Rouhani, E. H. El Boudouti, C. Li, Y. El Hassouani, J. O. Vasseur, N. Papanikolaou, S. Benchabane, V. Laude, and A. Martinez, “Simultaneous existence of phononic and photonic band gaps in periodic crystal slabs,” Opt. Express18(13), 14301–14310 (2010).
[CrossRef] [PubMed]

Pennec, Y.

S. Hemon, A. Akjouj, A. Soltani, Y. Pennec, Y. El Hassouani, A. Talbi, V. Mortet, and B. Djafari-Rouhani, “Hypersonic band gap in an AlN-TiN bilayer phononic crystal slab,” Appl. Phys. Lett.104(6), 063101 (2014).
[CrossRef]

D. Yudistira, Y. Pennec, B. Djafari Rouhani, S. Dupont, and V. Laude, “Non-radiative complete surface acoustic wave bandgap for finite-depth holey phononic crystal in lithium niobate,” Appl. Phys. Lett.100(6), 061912 (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 Advances1(4), 041901 (2011).
[CrossRef]

V. Laude, J. C. Beugnot, S. Benchabane, Y. Pennec, B. Djafari-Rouhani, N. Papanikolaou, J. M. Escalante, and A. Martinez, “Simultaneous guidance of slow photons and slow acoustic phonons in silicon phoxonic crystal slabs,” Opt. Express19(10), 9690–9698 (2011).
[CrossRef] [PubMed]

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-dimentional square lattice periodic structure,” Appl. Phys. (Berl.)109(1), 014507 (2011).
[CrossRef]

Y. Pennec, J. Vasseur, B. Djafari-Rouhani, L. Dobrzynski, and P. A. Deymier, “Two-dimensional phononic crystals: Examples and applications,” Surf. Sci. Rep.65(8), 229–291 (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. B82(15), 155405 (2010).
[CrossRef]

Y. Pennec, B. Djafari Rouhani, E. H. El Boudouti, C. Li, Y. El Hassouani, J. O. Vasseur, N. Papanikolaou, S. Benchabane, V. Laude, and A. Martinez, “Simultaneous existence of phononic and photonic band gaps in periodic crystal slabs,” Opt. Express18(13), 14301–14310 (2010).
[CrossRef] [PubMed]

Pertsch, T.

S. Diziain, R. Geiss, M. Zilk, F. Schrempel, E.-B. Kley, A. Tünnermann, and T. Pertsch, “Second harmonic generation in free-standing lithium niobate photonic crystal L3 cavity,” Appl. Phys. Lett.103(5), 051117 (2013).
[CrossRef]

R. Geiss, S. Diziain, R. Iliew, C. Etrich, H. Hartung, N. Janunts, F. Schrempel, F. Lederer, T. Pertsch, and E.-B. Kley, “Light propagation in a free-standing lithium niobate photonic crystal waveguide,” Appl. Phys. Lett.97(13), 131109 (2010).
[CrossRef]

Poberaj, G.

A. Guarino, G. Poberaj, D. Rezzonico, R. Degl’Innocenti, and P. Günter, “Electro-optically tunable microring resonators in lithium niobate,”,” Nat. Photonics1(7), 407–410 (2007).
[CrossRef]

Rezzonico, D.

A. Guarino, G. Poberaj, D. Rezzonico, R. Degl’Innocenti, and P. Günter, “Electro-optically tunable microring resonators in lithium niobate,”,” Nat. Photonics1(7), 407–410 (2007).
[CrossRef]

Robert, L.

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. B83(10), 104201 (2011).
[CrossRef]

Ruan, J.

P. Geng, W. Zhang, H. Zhang, S. Zhang, J. Ruan, S. Wei, and X. Xue, “Design of Broadband Single-Polarization Single-Mode Photonic Crystal Fiber Based on Index-Matching Coupling,” IEEE Photon. Technol. Lett.24(6), 452–454 (2012).
[CrossRef]

Sadat-Saleh, S.

S. Sadat-Saleh, S. Benchabane, F. Issam Baida, M. P. Bernal, and V. Laude, “Tailoring simultaneous photonic and phononic band gaps,” J. Appl. Phys.106(7), 074912 (2009).
[CrossRef]

Schiopu, P.

C. G. Bostan, P. Schiopu, and O. Mita, Proc. SPIE7297, 72971M (2009).

Schrempel, F.

S. Diziain, R. Geiss, M. Zilk, F. Schrempel, E.-B. Kley, A. Tünnermann, and T. Pertsch, “Second harmonic generation in free-standing lithium niobate photonic crystal L3 cavity,” Appl. Phys. Lett.103(5), 051117 (2013).
[CrossRef]

H. Hartung, E.-B. Kley, T. Gischkat, F. Schrempel, W. Wesch, and A. Tünnermann, “Ultra thin high index contrast photonic crystal slabs in lithium niobate,” Opt. Mater.33(1), 19–21 (2010).
[CrossRef]

R. Geiss, S. Diziain, R. Iliew, C. Etrich, H. Hartung, N. Janunts, F. Schrempel, F. Lederer, T. Pertsch, and E.-B. Kley, “Light propagation in a free-standing lithium niobate photonic crystal waveguide,” Appl. Phys. Lett.97(13), 131109 (2010).
[CrossRef]

F. Schrempel, T. Gischkat, H. Hartung, T. Höche, E.-B. Kley, A. Tünnermann, and W. Wesch, “Ultrathin membranes in x-cut lithium niobate,” Opt. Lett.34(9), 1426–1428 (2009).
[CrossRef] [PubMed]

Sigalas, M. M.

M. M. Sigalas and E. N. Economou, “Elastic and acoustic wave band structure,” J. Sound Vibrat.158(2), 377–382 (1992).
[CrossRef]

Soltani, A.

S. Hemon, A. Akjouj, A. Soltani, Y. Pennec, Y. El Hassouani, A. Talbi, V. Mortet, and B. Djafari-Rouhani, “Hypersonic band gap in an AlN-TiN bilayer phononic crystal slab,” Appl. Phys. Lett.104(6), 063101 (2014).
[CrossRef]

Soon Thor, L.

Sudheer Kumar, V.

Talbi, A.

S. Hemon, A. Akjouj, A. Soltani, Y. Pennec, Y. El Hassouani, A. Talbi, V. Mortet, and B. Djafari-Rouhani, “Hypersonic band gap in an AlN-TiN bilayer phononic crystal slab,” Appl. Phys. Lett.104(6), 063101 (2014).
[CrossRef]

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]

Tünnermann, A.

S. Diziain, R. Geiss, M. Zilk, F. Schrempel, E.-B. Kley, A. Tünnermann, and T. Pertsch, “Second harmonic generation in free-standing lithium niobate photonic crystal L3 cavity,” Appl. Phys. Lett.103(5), 051117 (2013).
[CrossRef]

H. Hartung, E.-B. Kley, T. Gischkat, F. Schrempel, W. Wesch, and A. Tünnermann, “Ultra thin high index contrast photonic crystal slabs in lithium niobate,” Opt. Mater.33(1), 19–21 (2010).
[CrossRef]

F. Schrempel, T. Gischkat, H. Hartung, T. Höche, E.-B. Kley, A. Tünnermann, and W. Wesch, “Ultrathin membranes in x-cut lithium niobate,” Opt. Lett.34(9), 1426–1428 (2009).
[CrossRef] [PubMed]

Ulliac, G.

N. Courjal, S. Benchabane, J. Dahdah, G. Ulliac, Y. Gruson, and V. Laude, “Acousto-optically tunable lithium niobate photonic crystal,” Appl. Phys. Lett.96(13), 131103 (2010).
[CrossRef]

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-dimentional square lattice periodic structure,” Appl. Phys. (Berl.)109(1), 014507 (2011).
[CrossRef]

Y. Pennec, J. Vasseur, B. Djafari-Rouhani, L. Dobrzynski, and P. A. Deymier, “Two-dimensional phononic crystals: Examples and applications,” Surf. Sci. Rep.65(8), 229–291 (2010).
[CrossRef]

Vasseur, J. O.

Wei, S.

P. Geng, W. Zhang, H. Zhang, S. Zhang, J. Ruan, S. Wei, and X. Xue, “Design of Broadband Single-Polarization Single-Mode Photonic Crystal Fiber Based on Index-Matching Coupling,” IEEE Photon. Technol. Lett.24(6), 452–454 (2012).
[CrossRef]

Weis, R. S.

R. S. Weis and T. K. Gaylord, “Lithium niobate: Summary of physical properties and crystal structure,” Appl. Phys., A Mater. Sci. Process.37(4), 191–203 (1985).
[CrossRef]

Wesch, W.

H. Hartung, E.-B. Kley, T. Gischkat, F. Schrempel, W. Wesch, and A. Tünnermann, “Ultra thin high index contrast photonic crystal slabs in lithium niobate,” Opt. Mater.33(1), 19–21 (2010).
[CrossRef]

F. Schrempel, T. Gischkat, H. Hartung, T. Höche, E.-B. Kley, A. Tünnermann, and W. Wesch, “Ultrathin membranes in x-cut lithium niobate,” Opt. Lett.34(9), 1426–1428 (2009).
[CrossRef] [PubMed]

Xue, X.

P. Geng, W. Zhang, H. Zhang, S. Zhang, J. Ruan, S. Wei, and X. Xue, “Design of Broadband Single-Polarization Single-Mode Photonic Crystal Fiber Based on Index-Matching Coupling,” IEEE Photon. Technol. Lett.24(6), 452–454 (2012).
[CrossRef]

Yablonovitch, E.

E. Yablonovitch, “Inhibited Spontaneous Emission in Solid-State Physics and Electronics,” Phys. Rev. Lett.58(20), 2059–2062 (1987).
[CrossRef] [PubMed]

Yudistira, D.

D. Yudistira, Y. Pennec, B. Djafari Rouhani, S. Dupont, and V. Laude, “Non-radiative complete surface acoustic wave bandgap for finite-depth holey phononic crystal in lithium niobate,” Appl. Phys. Lett.100(6), 061912 (2012).
[CrossRef]

Zgonik, M.

M. Jazbinsek and M. Zgonik, “Material tensor parameters of LiNbO3 relevant for electro- and elasto-optics,” Appl. Phys. B74(4-5), 407–414 (2002).
[CrossRef]

Zhang, H.

P. Geng, W. Zhang, H. Zhang, S. Zhang, J. Ruan, S. Wei, and X. Xue, “Design of Broadband Single-Polarization Single-Mode Photonic Crystal Fiber Based on Index-Matching Coupling,” IEEE Photon. Technol. Lett.24(6), 452–454 (2012).
[CrossRef]

Zhang, S.

P. Geng, W. Zhang, H. Zhang, S. Zhang, J. Ruan, S. Wei, and X. Xue, “Design of Broadband Single-Polarization Single-Mode Photonic Crystal Fiber Based on Index-Matching Coupling,” IEEE Photon. Technol. Lett.24(6), 452–454 (2012).
[CrossRef]

Zhang, W.

P. Geng, W. Zhang, H. Zhang, S. Zhang, J. Ruan, S. Wei, and X. Xue, “Design of Broadband Single-Polarization Single-Mode Photonic Crystal Fiber Based on Index-Matching Coupling,” IEEE Photon. Technol. Lett.24(6), 452–454 (2012).
[CrossRef]

Zilk, M.

S. Diziain, R. Geiss, M. Zilk, F. Schrempel, E.-B. Kley, A. Tünnermann, and T. Pertsch, “Second harmonic generation in free-standing lithium niobate photonic crystal L3 cavity,” Appl. Phys. Lett.103(5), 051117 (2013).
[CrossRef]

AIP Advances

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 Advances1(4), 041901 (2011).
[CrossRef]

Appl. Phys. (Berl.)

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-dimentional square lattice periodic structure,” Appl. Phys. (Berl.)109(1), 014507 (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]

M. Jazbinsek and M. Zgonik, “Material tensor parameters of LiNbO3 relevant for electro- and elasto-optics,” Appl. Phys. B74(4-5), 407–414 (2002).
[CrossRef]

Appl. Phys. Lett.

S. Hemon, A. Akjouj, A. Soltani, Y. Pennec, Y. El Hassouani, A. Talbi, V. Mortet, and B. Djafari-Rouhani, “Hypersonic band gap in an AlN-TiN bilayer phononic crystal slab,” Appl. Phys. Lett.104(6), 063101 (2014).
[CrossRef]

N. Courjal, S. Benchabane, J. Dahdah, G. Ulliac, Y. Gruson, and V. Laude, “Acousto-optically tunable lithium niobate photonic crystal,” Appl. Phys. Lett.96(13), 131103 (2010).
[CrossRef]

D. Yudistira, Y. Pennec, B. Djafari Rouhani, S. Dupont, and V. Laude, “Non-radiative complete surface acoustic wave bandgap for finite-depth holey phononic crystal in lithium niobate,” Appl. Phys. Lett.100(6), 061912 (2012).
[CrossRef]

R. Geiss, S. Diziain, R. Iliew, C. Etrich, H. Hartung, N. Janunts, F. Schrempel, F. Lederer, T. Pertsch, and E.-B. Kley, “Light propagation in a free-standing lithium niobate photonic crystal waveguide,” Appl. Phys. Lett.97(13), 131109 (2010).
[CrossRef]

S. Diziain, R. Geiss, M. Zilk, F. Schrempel, E.-B. Kley, A. Tünnermann, and T. Pertsch, “Second harmonic generation in free-standing lithium niobate photonic crystal L3 cavity,” Appl. Phys. Lett.103(5), 051117 (2013).
[CrossRef]

Appl. Phys., A Mater. Sci. Process.

R. S. Weis and T. K. Gaylord, “Lithium niobate: Summary of physical properties and crystal structure,” Appl. Phys., A Mater. Sci. Process.37(4), 191–203 (1985).
[CrossRef]

IEEE Photon. Technol. Lett.

P. Geng, W. Zhang, H. Zhang, S. Zhang, J. Ruan, S. Wei, and X. Xue, “Design of Broadband Single-Polarization Single-Mode Photonic Crystal Fiber Based on Index-Matching Coupling,” IEEE Photon. Technol. Lett.24(6), 452–454 (2012).
[CrossRef]

J. Appl. Phys.

S. Sadat-Saleh, S. Benchabane, F. Issam Baida, M. P. Bernal, and V. Laude, “Tailoring simultaneous photonic and phononic band gaps,” J. Appl. Phys.106(7), 074912 (2009).
[CrossRef]

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M. M. Sigalas and E. N. Economou, “Elastic and acoustic wave band structure,” J. Sound Vibrat.158(2), 377–382 (1992).
[CrossRef]

Nat. Photonics

A. Guarino, G. Poberaj, D. Rezzonico, R. Degl’Innocenti, and P. Günter, “Electro-optically tunable microring resonators in lithium niobate,”,” Nat. Photonics1(7), 407–410 (2007).
[CrossRef]

Opt. Express

Opt. Lett.

Opt. Mater.

H. Hartung, E.-B. Kley, T. Gischkat, F. Schrempel, W. Wesch, and A. Tünnermann, “Ultra thin high index contrast photonic crystal slabs in lithium niobate,” Opt. Mater.33(1), 19–21 (2010).
[CrossRef]

Phys. Rev. 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. B81(21), 214303 (2010).
[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. B83(10), 104201 (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]

Phys. Rev. Lett.

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]

E. Yablonovitch, “Inhibited Spontaneous Emission in Solid-State Physics and Electronics,” Phys. Rev. Lett.58(20), 2059–2062 (1987).
[CrossRef] [PubMed]

Surf. Sci. Rep.

Y. Pennec, J. Vasseur, B. Djafari-Rouhani, L. Dobrzynski, and P. A. Deymier, “Two-dimensional phononic crystals: Examples and applications,” Surf. Sci. Rep.65(8), 229–291 (2010).
[CrossRef]

Other

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Princeton University “Photonic crystals: Molding the Flow of Light,” (2008).

J.-M. Lourtioz, “Les cristaux photoniques ou la lumière en cage,” Hermès-Science (2003).

C. G. Bostan, P. Schiopu, and O. Mita, Proc. SPIE7297, 72971M (2009).

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Figures (6)

Fig. 1
Fig. 1

(a) Slowness curves of Z-cut LiNbO3. The blue, the black, and the red solid lines represent the longitudinal, the in-plane, and the out-of-plane shear inverse velocities, respectively. (b) Direct and reciprocal square lattice, and corresponding first irreducible Brillouin zone. The unit cell is represented with dashed line and the irreducible zone is shaded. (c) Triangular lattice and corresponding irreducible Brillouin zone. (d) Honeycomb lattice and corresponding irreducible Brillouin zone.

Fig. 2
Fig. 2

Evolution of optical (bottom row) and acoustic (top row) bandgaps for the square lattice as a function of r/a, for different values of h/a; blue: symmetric (even) modes bandgaps, red anti-symmetric (odd) modes bandgaps, pink: complete bandgaps; black solid lines: reduced frequencies (1/2 and 1/√2) at the light cone X and M symmetry points respectively.

Fig. 3
Fig. 3

Evolution of optical (bottom row) and acoustic (top row) bandgaps for the honeycomb lattice as a function of r/a, for different values of h/a; blue: symmetric (even) modes bandgaps, red anti-symmetric (odd) modes bandgaps, pink: complete bandgaps; black solid lines: reduced frequencies (1/3 and 2/3√3) at the light cone M and K symmetry points respectively.

Fig. 4
Fig. 4

Evolution of optical (bottom row) and acoustic (top row) bandgaps for the triangular lattice as a function of r/a, for different values of h/a; blue: symmetric (even) modes bandgaps, red anti-symmetric (odd) modes bandgaps, pink: complete bandgaps; black solid lines: reduced frequencies (1/√3 and 2/3) at the light cone M and K symmetry points respectively.

Fig. 5
Fig. 5

Band structure for the triangular lattice for r/a = 0.28, for different values of h/a = 0.6. Left: anti-symmetric phononic modes; right symmetric photonic modes, the solid line represents the light cone.

Fig. 6
Fig. 6

Evolution of acoustic bandgaps for the square (a), the honeycomb (b), and the hexagonal (c) lattices as a function of the normalized radius. The blue, the red and the pink colour bandgaps represent the in-plane polarisation, the out-of-plane polarization and the complete bandgaps respectively.

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