Abstract

Picosecond acoustic interferometry was used to study the acousto-optic properties of a distributed Bragg reflector (DBR) manufactured from two immiscible polymers (cellulose acetate and polyvinylcarbyzole). Picosecond strain pulses were injected into the structure and changes in its reflectance were monitored as a function of time. The reflectance exhibited single-frequency harmonic oscillations as the strain pulse traversed the DBR. A transfer matrix method was used to model the reflectance of the DBR in response to interface modulation and photo-elastic effects. This work shows that photo-elastic effects can account for the acousto-optic response of DBRs with acoustically matched layers.

© 2014 Optical Society of America

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2013 (4)

A. Fainstein, N. D. Lanzillotti-Kimura, B. Jusserand, and B. Perrin, “Strong optical-mechanical coupling in a vertical GaAs/AlAs microcavity for subterahertz phonons and near-infrared light,” Phys. Rev. Lett. 110(3), 037403 (2013).
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I. Mahboob, K. Nishiguchi, A. Fujiwara, and H. Yamaguchi, “Phonon lasing in an electromechanical resonator,” Phys. Rev. Lett. 110(12), 127202 (2013).
[CrossRef]

M. Maldovan, “Sound and heat revolutions in phononics,” Nature 503(7475), 209–217 (2013).
[CrossRef] [PubMed]

Y. Léger, “Double magic coincidence in an optomechanical laser cavity,” Physics 6, 6 (2013).
[CrossRef]

2012 (2)

C. Brüggemann, A. V. Akimov, A. V. Scherbakov, M. Bombeck, C. Schneider, S. Hofling, A. Forchel, D. R. Yakovlev, and M. Bayer, “Laser mode feeding by shaking quantum dots in a planar microcavity,” Nat. Photonics 6(1), 30–34 (2012).
[CrossRef]

J.-C. Beugnot and V. Laude, “Electrostriction and guidance of acoustic phonons in optical fibers,” Phys. Rev. B 86(22), 224304 (2012).
[CrossRef]

2011 (4)

J. D. Teufel, T. Donner, D. Li, J. W. Harlow, M. S. Allman, K. Cicak, A. J. Sirois, J. D. Whittaker, K. W. Lehnert, and R. W. Simmonds, “Sideband cooling of micromechanical motion to the quantum ground state,” Nature 475(7356), 359–363 (2011).
[CrossRef] [PubMed]

J. Chan, T. P. M. Alegre, A. H. Safavi-Naeini, J. T. Hill, A. Krause, S. Gröblacher, M. Aspelmeyer, and O. Painter, “Laser cooling of a nanomechanical oscillator into its quantum ground state,” Nature 478(7367), 89–92 (2011).
[CrossRef] [PubMed]

J. Bailey and J. S. Sharp, “Infrared dielectric mirrors based on thin film multilayers of polystyrene and polyvinylpyrrolidone,” J. Polym. Sci., B, Polym. Phys. 49(10), 732–739 (2011).
[CrossRef]

A. V. Akimov, E. S. K. Young, J. S. Sharp, V. Gusev, and A. J. Kent, “Coherent hypersonic closed-pipe organ like modes in supported polymer films,” Appl. Phys. Lett. 99(2), 021912 (2011).
[CrossRef]

2010 (8)

P. M. Walker, J. S. Sharp, A. V. Akimov, and A. J. Kent, “Coherent elastic waves in a one-dimensional polymer hypersonic crystal,” Appl. Phys. Lett. 97(7), 073106 (2010).
[CrossRef]

I. S. Grudinin, H. Lee, O. Painter, and K. J. Vahala, “Phonon laser action in a tunable two-level system,” Phys. Rev. Lett. 104(8), 083901 (2010).
[CrossRef] [PubMed]

A. S. Salasyuk, A. V. Scherbakov, D. R. Yakovlev, A. V. Akimov, A. A. Kaplyanskii, S. F. Kaplan, S. A. Grudinkin, A. V. Nashchekin, A. B. Pevtsov, V. G. Golubev, T. Berstermann, C. Brüggemann, M. Bombeck, and M. Bayer, “Filtering of elastic waves by opal-based hypersonic crystal,” Nano Lett. 10(4), 1319–1323 (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. Express 18(13), 14301–14310 (2010).
[CrossRef] [PubMed]

Q. Lin, J. Rosenberg, D. Chang, R. Camacho, M. Eichenfield, K. J. Vahala, and O. Painter, “Coherent mixing of mechanical excitations in nano-optomechanical structures,” Nat. Photonics 4(4), 236–242 (2010).
[CrossRef]

S. Weis, R. Rivière, S. Deléglise, E. Gavartin, O. Arcizet, A. Schliesser, and T. J. Kippenberg, “Optomechanically Induced Transparency,” Science 330(6010), 1520–1523 (2010).
[CrossRef] [PubMed]

L. Ding, C. Baker, P. Senellart, A. Lemaitre, S. Ducci, G. Leo, and I. Favero, “High frequency GaAs nano-optomechanical disk resonator,” Phys. Rev. Lett. 105(26), 263903 (2010).
[CrossRef] [PubMed]

A. H. Safavi-Naeini, T. P. M. Alegre, M. Winger, and O. Painter, “Optomechanics in an ultrahigh-Q two-dimensional photonic crystal cavity,” Appl. Phys. Lett. 97(18), 181106 (2010).
[CrossRef]

2009 (1)

S. Gröblacher, K. Hammerer, M. R. Vanner, and M. Aspelmeyer, “Observation of strong coupling between a micromechanical resonator and an optical cavity field,” Nature 460(7256), 724–727 (2009).
[CrossRef] [PubMed]

2008 (3)

J. Groenen, F. Poinsotte, A. Zwick, C. M. Sotomayor-Torres, M. Prunnila, and J. Ahopelto, “Inelastic light scattering by longitudinal acoustic phonons in thin silicon layers: From membranes to silicon-on-insulator structures,” Phys. Rev. B 77(4), 045420 (2008).
[CrossRef]

G. S. Wiederhecker, A. Brenn, H. L. Fragnito, and P. St. J. Russell, “Coherent control of ultrahigh-frequency acoustic resonances in photonic crystal fibers,” Phys. Rev. Lett. 100(20), 203903 (2008).
[CrossRef] [PubMed]

O. Matsuda, O. B. Wright, D. H. Hurley, V. Gusev, and K. Shimizu, “Coherent shear phonon generation and detection with picosecond laser acoustics,” Phys. Rev. B 77(22), 224110 (2008).
[CrossRef]

2006 (3)

P. Dainese, P. St. J. Russell, G. S. Wiederhecker, N. Joly, H. L. Fragnito, V. Laude, and A. Khelif, “Raman-like light scattering from acoustic phonons in photonic crystal fiber,” Opt. Express 14(9), 4141–4150 (2006).
[CrossRef] [PubMed]

W. Cheng, J. J. Wang, U. Jonas, G. Fytas, and N. Stefanou, “Observation and tuning of hypersonic bandgaps in colloidal crystals,” Nat. Mater. 5(10), 830–836 (2006).
[CrossRef] [PubMed]

O. Arcizet, P.-F. Cohadon, T. Briant, M. Pinard, and A. Heidmann, “Radiation-pressure cooling and optomechanical instability of a micromirror,” Nature 444(7115), 71–74 (2006).
[CrossRef] [PubMed]

2005 (1)

T. Gorishnyy, C. K. Ullal, M. Maldovan, G. Fytas, and E. L. Thomas, “Hypersonic phononic crystals,” Phys. Rev. Lett. 94(11), 115501 (2005).
[CrossRef] [PubMed]

2002 (2)

2001 (2)

H.-Y. Hao and H. J. Maris, “Dispersion of the long-wavelength phonons in Ge, Si, GaAs, quartz, and sapphire,” Phys. Rev. B 63(22), 224301 (2001).
[CrossRef]

X. Zhang, R. Sooryakumar, A. G. Every, and M. H. Manghnani, “Observation of organ-pipe acoustic excitations in supported thin films,” Phys. Rev. B 64, 081402R (2001).

1996 (1)

C. J. Morath and H. J. Maris, “Phonon attenuation in amorphous solids studied by picosecond ultrasonics,” Phys. Rev. B Condens. Matter 54(1), 203–213 (1996).
[CrossRef] [PubMed]

1994 (2)

O. B. Wright, “Ultrafast nonequilibrium stress generation in gold and silver,” Phys. Rev. B Condens. Matter 49(14), 9985–9988 (1994).
[CrossRef] [PubMed]

G. Tas and H. J. Maris, “Electron diffusion in metals studied by picosecond ultrasonics,” Phys. Rev. B Condens. Matter 49(21), 15046–15054 (1994).
[CrossRef] [PubMed]

1992 (1)

O. B. Wright, “Thickness and sound velocity measurement in thin transparent films with laser picosecond acoustics,” J. Appl. Phys. 71(4), 1617–1629 (1992).
[CrossRef]

1991 (1)

H. N. Lin, R. J. Stoner, H. J. Maris, and J. Tauc, “Phonon attenuation and velocity measurements in transparent materials by picosecond acoustic interferometry,” J. Appl. Phys. 69(7), 3816–3822 (1991).
[CrossRef]

1987 (1)

B. Jusserand, D. Paquet, F. Mollot, F. Alexandre, and G. Le Roux, “Influence of the supercell structure on the folded acoustical Raman line intensities in superlattices,” Phys. Rev. B Condens. Matter 35(6), 2808–2817 (1987).
[CrossRef] [PubMed]

1986 (1)

C. Thomsen, H. T. Grahn, H. J. Maris, and J. Tauc, “Surface generation and detection of phonons by picosecond light pulses,” Phys. Rev. B Condens. Matter 34(6), 4129–4138 (1986).
[CrossRef] [PubMed]

1980 (1)

C. Colvard, R. Merlin, M. V. Klein, and A. C. Gossard, “Observation of folded acoustic phonons in a semiconductor superlattice,” Phys. Rev. Lett. 45(4), 298–301 (1980).
[CrossRef]

Ahopelto, J.

J. Groenen, F. Poinsotte, A. Zwick, C. M. Sotomayor-Torres, M. Prunnila, and J. Ahopelto, “Inelastic light scattering by longitudinal acoustic phonons in thin silicon layers: From membranes to silicon-on-insulator structures,” Phys. Rev. B 77(4), 045420 (2008).
[CrossRef]

Akimov, A. V.

C. Brüggemann, A. V. Akimov, A. V. Scherbakov, M. Bombeck, C. Schneider, S. Hofling, A. Forchel, D. R. Yakovlev, and M. Bayer, “Laser mode feeding by shaking quantum dots in a planar microcavity,” Nat. Photonics 6(1), 30–34 (2012).
[CrossRef]

A. V. Akimov, E. S. K. Young, J. S. Sharp, V. Gusev, and A. J. Kent, “Coherent hypersonic closed-pipe organ like modes in supported polymer films,” Appl. Phys. Lett. 99(2), 021912 (2011).
[CrossRef]

P. M. Walker, J. S. Sharp, A. V. Akimov, and A. J. Kent, “Coherent elastic waves in a one-dimensional polymer hypersonic crystal,” Appl. Phys. Lett. 97(7), 073106 (2010).
[CrossRef]

A. S. Salasyuk, A. V. Scherbakov, D. R. Yakovlev, A. V. Akimov, A. A. Kaplyanskii, S. F. Kaplan, S. A. Grudinkin, A. V. Nashchekin, A. B. Pevtsov, V. G. Golubev, T. Berstermann, C. Brüggemann, M. Bombeck, and M. Bayer, “Filtering of elastic waves by opal-based hypersonic crystal,” Nano Lett. 10(4), 1319–1323 (2010).
[CrossRef] [PubMed]

Alegre, T. P. M.

J. Chan, T. P. M. Alegre, A. H. Safavi-Naeini, J. T. Hill, A. Krause, S. Gröblacher, M. Aspelmeyer, and O. Painter, “Laser cooling of a nanomechanical oscillator into its quantum ground state,” Nature 478(7367), 89–92 (2011).
[CrossRef] [PubMed]

A. H. Safavi-Naeini, T. P. M. Alegre, M. Winger, and O. Painter, “Optomechanics in an ultrahigh-Q two-dimensional photonic crystal cavity,” Appl. Phys. Lett. 97(18), 181106 (2010).
[CrossRef]

Alexandre, F.

B. Jusserand, D. Paquet, F. Mollot, F. Alexandre, and G. Le Roux, “Influence of the supercell structure on the folded acoustical Raman line intensities in superlattices,” Phys. Rev. B Condens. Matter 35(6), 2808–2817 (1987).
[CrossRef] [PubMed]

Allman, M. S.

J. D. Teufel, T. Donner, D. Li, J. W. Harlow, M. S. Allman, K. Cicak, A. J. Sirois, J. D. Whittaker, K. W. Lehnert, and R. W. Simmonds, “Sideband cooling of micromechanical motion to the quantum ground state,” Nature 475(7356), 359–363 (2011).
[CrossRef] [PubMed]

Arcizet, O.

S. Weis, R. Rivière, S. Deléglise, E. Gavartin, O. Arcizet, A. Schliesser, and T. J. Kippenberg, “Optomechanically Induced Transparency,” Science 330(6010), 1520–1523 (2010).
[CrossRef] [PubMed]

O. Arcizet, P.-F. Cohadon, T. Briant, M. Pinard, and A. Heidmann, “Radiation-pressure cooling and optomechanical instability of a micromirror,” Nature 444(7115), 71–74 (2006).
[CrossRef] [PubMed]

Aspelmeyer, M.

J. Chan, T. P. M. Alegre, A. H. Safavi-Naeini, J. T. Hill, A. Krause, S. Gröblacher, M. Aspelmeyer, and O. Painter, “Laser cooling of a nanomechanical oscillator into its quantum ground state,” Nature 478(7367), 89–92 (2011).
[CrossRef] [PubMed]

S. Gröblacher, K. Hammerer, M. R. Vanner, and M. Aspelmeyer, “Observation of strong coupling between a micromechanical resonator and an optical cavity field,” Nature 460(7256), 724–727 (2009).
[CrossRef] [PubMed]

Bailey, J.

J. Bailey and J. S. Sharp, “Infrared dielectric mirrors based on thin film multilayers of polystyrene and polyvinylpyrrolidone,” J. Polym. Sci., B, Polym. Phys. 49(10), 732–739 (2011).
[CrossRef]

Baker, C.

L. Ding, C. Baker, P. Senellart, A. Lemaitre, S. Ducci, G. Leo, and I. Favero, “High frequency GaAs nano-optomechanical disk resonator,” Phys. Rev. Lett. 105(26), 263903 (2010).
[CrossRef] [PubMed]

Bayer, M.

C. Brüggemann, A. V. Akimov, A. V. Scherbakov, M. Bombeck, C. Schneider, S. Hofling, A. Forchel, D. R. Yakovlev, and M. Bayer, “Laser mode feeding by shaking quantum dots in a planar microcavity,” Nat. Photonics 6(1), 30–34 (2012).
[CrossRef]

A. S. Salasyuk, A. V. Scherbakov, D. R. Yakovlev, A. V. Akimov, A. A. Kaplyanskii, S. F. Kaplan, S. A. Grudinkin, A. V. Nashchekin, A. B. Pevtsov, V. G. Golubev, T. Berstermann, C. Brüggemann, M. Bombeck, and M. Bayer, “Filtering of elastic waves by opal-based hypersonic crystal,” Nano Lett. 10(4), 1319–1323 (2010).
[CrossRef] [PubMed]

Benchabane, S.

Berstermann, T.

A. S. Salasyuk, A. V. Scherbakov, D. R. Yakovlev, A. V. Akimov, A. A. Kaplyanskii, S. F. Kaplan, S. A. Grudinkin, A. V. Nashchekin, A. B. Pevtsov, V. G. Golubev, T. Berstermann, C. Brüggemann, M. Bombeck, and M. Bayer, “Filtering of elastic waves by opal-based hypersonic crystal,” Nano Lett. 10(4), 1319–1323 (2010).
[CrossRef] [PubMed]

Beugnot, J.-C.

J.-C. Beugnot and V. Laude, “Electrostriction and guidance of acoustic phonons in optical fibers,” Phys. Rev. B 86(22), 224304 (2012).
[CrossRef]

Bombeck, M.

C. Brüggemann, A. V. Akimov, A. V. Scherbakov, M. Bombeck, C. Schneider, S. Hofling, A. Forchel, D. R. Yakovlev, and M. Bayer, “Laser mode feeding by shaking quantum dots in a planar microcavity,” Nat. Photonics 6(1), 30–34 (2012).
[CrossRef]

A. S. Salasyuk, A. V. Scherbakov, D. R. Yakovlev, A. V. Akimov, A. A. Kaplyanskii, S. F. Kaplan, S. A. Grudinkin, A. V. Nashchekin, A. B. Pevtsov, V. G. Golubev, T. Berstermann, C. Brüggemann, M. Bombeck, and M. Bayer, “Filtering of elastic waves by opal-based hypersonic crystal,” Nano Lett. 10(4), 1319–1323 (2010).
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G. S. Wiederhecker, A. Brenn, H. L. Fragnito, and P. St. J. Russell, “Coherent control of ultrahigh-frequency acoustic resonances in photonic crystal fibers,” Phys. Rev. Lett. 100(20), 203903 (2008).
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O. Arcizet, P.-F. Cohadon, T. Briant, M. Pinard, and A. Heidmann, “Radiation-pressure cooling and optomechanical instability of a micromirror,” Nature 444(7115), 71–74 (2006).
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C. Brüggemann, A. V. Akimov, A. V. Scherbakov, M. Bombeck, C. Schneider, S. Hofling, A. Forchel, D. R. Yakovlev, and M. Bayer, “Laser mode feeding by shaking quantum dots in a planar microcavity,” Nat. Photonics 6(1), 30–34 (2012).
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A. S. Salasyuk, A. V. Scherbakov, D. R. Yakovlev, A. V. Akimov, A. A. Kaplyanskii, S. F. Kaplan, S. A. Grudinkin, A. V. Nashchekin, A. B. Pevtsov, V. G. Golubev, T. Berstermann, C. Brüggemann, M. Bombeck, and M. Bayer, “Filtering of elastic waves by opal-based hypersonic crystal,” Nano Lett. 10(4), 1319–1323 (2010).
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Q. Lin, J. Rosenberg, D. Chang, R. Camacho, M. Eichenfield, K. J. Vahala, and O. Painter, “Coherent mixing of mechanical excitations in nano-optomechanical structures,” Nat. Photonics 4(4), 236–242 (2010).
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J. Chan, T. P. M. Alegre, A. H. Safavi-Naeini, J. T. Hill, A. Krause, S. Gröblacher, M. Aspelmeyer, and O. Painter, “Laser cooling of a nanomechanical oscillator into its quantum ground state,” Nature 478(7367), 89–92 (2011).
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Q. Lin, J. Rosenberg, D. Chang, R. Camacho, M. Eichenfield, K. J. Vahala, and O. Painter, “Coherent mixing of mechanical excitations in nano-optomechanical structures,” Nat. Photonics 4(4), 236–242 (2010).
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W. Cheng, J. J. Wang, U. Jonas, G. Fytas, and N. Stefanou, “Observation and tuning of hypersonic bandgaps in colloidal crystals,” Nat. Mater. 5(10), 830–836 (2006).
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J. D. Teufel, T. Donner, D. Li, J. W. Harlow, M. S. Allman, K. Cicak, A. J. Sirois, J. D. Whittaker, K. W. Lehnert, and R. W. Simmonds, “Sideband cooling of micromechanical motion to the quantum ground state,” Nature 475(7356), 359–363 (2011).
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O. Arcizet, P.-F. Cohadon, T. Briant, M. Pinard, and A. Heidmann, “Radiation-pressure cooling and optomechanical instability of a micromirror,” Nature 444(7115), 71–74 (2006).
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C. Colvard, R. Merlin, M. V. Klein, and A. C. Gossard, “Observation of folded acoustic phonons in a semiconductor superlattice,” Phys. Rev. Lett. 45(4), 298–301 (1980).
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L. Ding, C. Baker, P. Senellart, A. Lemaitre, S. Ducci, G. Leo, and I. Favero, “High frequency GaAs nano-optomechanical disk resonator,” Phys. Rev. Lett. 105(26), 263903 (2010).
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L. Ding, C. Baker, P. Senellart, A. Lemaitre, S. Ducci, G. Leo, and I. Favero, “High frequency GaAs nano-optomechanical disk resonator,” Phys. Rev. Lett. 105(26), 263903 (2010).
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Q. Lin, J. Rosenberg, D. Chang, R. Camacho, M. Eichenfield, K. J. Vahala, and O. Painter, “Coherent mixing of mechanical excitations in nano-optomechanical structures,” Nat. Photonics 4(4), 236–242 (2010).
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X. Zhang, R. Sooryakumar, A. G. Every, and M. H. Manghnani, “Observation of organ-pipe acoustic excitations in supported thin films,” Phys. Rev. B 64, 081402R (2001).

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A. Fainstein, N. D. Lanzillotti-Kimura, B. Jusserand, and B. Perrin, “Strong optical-mechanical coupling in a vertical GaAs/AlAs microcavity for subterahertz phonons and near-infrared light,” Phys. Rev. Lett. 110(3), 037403 (2013).
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L. Ding, C. Baker, P. Senellart, A. Lemaitre, S. Ducci, G. Leo, and I. Favero, “High frequency GaAs nano-optomechanical disk resonator,” Phys. Rev. Lett. 105(26), 263903 (2010).
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C. Brüggemann, A. V. Akimov, A. V. Scherbakov, M. Bombeck, C. Schneider, S. Hofling, A. Forchel, D. R. Yakovlev, and M. Bayer, “Laser mode feeding by shaking quantum dots in a planar microcavity,” Nat. Photonics 6(1), 30–34 (2012).
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G. S. Wiederhecker, A. Brenn, H. L. Fragnito, and P. St. J. Russell, “Coherent control of ultrahigh-frequency acoustic resonances in photonic crystal fibers,” Phys. Rev. Lett. 100(20), 203903 (2008).
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I. Mahboob, K. Nishiguchi, A. Fujiwara, and H. Yamaguchi, “Phonon lasing in an electromechanical resonator,” Phys. Rev. Lett. 110(12), 127202 (2013).
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W. Cheng, J. J. Wang, U. Jonas, G. Fytas, and N. Stefanou, “Observation and tuning of hypersonic bandgaps in colloidal crystals,” Nat. Mater. 5(10), 830–836 (2006).
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T. Gorishnyy, C. K. Ullal, M. Maldovan, G. Fytas, and E. L. Thomas, “Hypersonic phononic crystals,” Phys. Rev. Lett. 94(11), 115501 (2005).
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S. Weis, R. Rivière, S. Deléglise, E. Gavartin, O. Arcizet, A. Schliesser, and T. J. Kippenberg, “Optomechanically Induced Transparency,” Science 330(6010), 1520–1523 (2010).
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Golubev, V. G.

A. S. Salasyuk, A. V. Scherbakov, D. R. Yakovlev, A. V. Akimov, A. A. Kaplyanskii, S. F. Kaplan, S. A. Grudinkin, A. V. Nashchekin, A. B. Pevtsov, V. G. Golubev, T. Berstermann, C. Brüggemann, M. Bombeck, and M. Bayer, “Filtering of elastic waves by opal-based hypersonic crystal,” Nano Lett. 10(4), 1319–1323 (2010).
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T. Gorishnyy, C. K. Ullal, M. Maldovan, G. Fytas, and E. L. Thomas, “Hypersonic phononic crystals,” Phys. Rev. Lett. 94(11), 115501 (2005).
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C. Colvard, R. Merlin, M. V. Klein, and A. C. Gossard, “Observation of folded acoustic phonons in a semiconductor superlattice,” Phys. Rev. Lett. 45(4), 298–301 (1980).
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C. Thomsen, H. T. Grahn, H. J. Maris, and J. Tauc, “Surface generation and detection of phonons by picosecond light pulses,” Phys. Rev. B Condens. Matter 34(6), 4129–4138 (1986).
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J. Chan, T. P. M. Alegre, A. H. Safavi-Naeini, J. T. Hill, A. Krause, S. Gröblacher, M. Aspelmeyer, and O. Painter, “Laser cooling of a nanomechanical oscillator into its quantum ground state,” Nature 478(7367), 89–92 (2011).
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S. Gröblacher, K. Hammerer, M. R. Vanner, and M. Aspelmeyer, “Observation of strong coupling between a micromechanical resonator and an optical cavity field,” Nature 460(7256), 724–727 (2009).
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J. Groenen, F. Poinsotte, A. Zwick, C. M. Sotomayor-Torres, M. Prunnila, and J. Ahopelto, “Inelastic light scattering by longitudinal acoustic phonons in thin silicon layers: From membranes to silicon-on-insulator structures,” Phys. Rev. B 77(4), 045420 (2008).
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I. S. Grudinin, H. Lee, O. Painter, and K. J. Vahala, “Phonon laser action in a tunable two-level system,” Phys. Rev. Lett. 104(8), 083901 (2010).
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A. S. Salasyuk, A. V. Scherbakov, D. R. Yakovlev, A. V. Akimov, A. A. Kaplyanskii, S. F. Kaplan, S. A. Grudinkin, A. V. Nashchekin, A. B. Pevtsov, V. G. Golubev, T. Berstermann, C. Brüggemann, M. Bombeck, and M. Bayer, “Filtering of elastic waves by opal-based hypersonic crystal,” Nano Lett. 10(4), 1319–1323 (2010).
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Gusev, V.

A. V. Akimov, E. S. K. Young, J. S. Sharp, V. Gusev, and A. J. Kent, “Coherent hypersonic closed-pipe organ like modes in supported polymer films,” Appl. Phys. Lett. 99(2), 021912 (2011).
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O. Matsuda, O. B. Wright, D. H. Hurley, V. Gusev, and K. Shimizu, “Coherent shear phonon generation and detection with picosecond laser acoustics,” Phys. Rev. B 77(22), 224110 (2008).
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S. Gröblacher, K. Hammerer, M. R. Vanner, and M. Aspelmeyer, “Observation of strong coupling between a micromechanical resonator and an optical cavity field,” Nature 460(7256), 724–727 (2009).
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H.-Y. Hao and H. J. Maris, “Dispersion of the long-wavelength phonons in Ge, Si, GaAs, quartz, and sapphire,” Phys. Rev. B 63(22), 224301 (2001).
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J. D. Teufel, T. Donner, D. Li, J. W. Harlow, M. S. Allman, K. Cicak, A. J. Sirois, J. D. Whittaker, K. W. Lehnert, and R. W. Simmonds, “Sideband cooling of micromechanical motion to the quantum ground state,” Nature 475(7356), 359–363 (2011).
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Heidmann, A.

O. Arcizet, P.-F. Cohadon, T. Briant, M. Pinard, and A. Heidmann, “Radiation-pressure cooling and optomechanical instability of a micromirror,” Nature 444(7115), 71–74 (2006).
[CrossRef] [PubMed]

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J. Chan, T. P. M. Alegre, A. H. Safavi-Naeini, J. T. Hill, A. Krause, S. Gröblacher, M. Aspelmeyer, and O. Painter, “Laser cooling of a nanomechanical oscillator into its quantum ground state,” Nature 478(7367), 89–92 (2011).
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C. Brüggemann, A. V. Akimov, A. V. Scherbakov, M. Bombeck, C. Schneider, S. Hofling, A. Forchel, D. R. Yakovlev, and M. Bayer, “Laser mode feeding by shaking quantum dots in a planar microcavity,” Nat. Photonics 6(1), 30–34 (2012).
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O. Matsuda, O. B. Wright, D. H. Hurley, V. Gusev, and K. Shimizu, “Coherent shear phonon generation and detection with picosecond laser acoustics,” Phys. Rev. B 77(22), 224110 (2008).
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Joly, N.

Jonas, U.

W. Cheng, J. J. Wang, U. Jonas, G. Fytas, and N. Stefanou, “Observation and tuning of hypersonic bandgaps in colloidal crystals,” Nat. Mater. 5(10), 830–836 (2006).
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A. Fainstein, N. D. Lanzillotti-Kimura, B. Jusserand, and B. Perrin, “Strong optical-mechanical coupling in a vertical GaAs/AlAs microcavity for subterahertz phonons and near-infrared light,” Phys. Rev. Lett. 110(3), 037403 (2013).
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B. Jusserand, D. Paquet, F. Mollot, F. Alexandre, and G. Le Roux, “Influence of the supercell structure on the folded acoustical Raman line intensities in superlattices,” Phys. Rev. B Condens. Matter 35(6), 2808–2817 (1987).
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A. S. Salasyuk, A. V. Scherbakov, D. R. Yakovlev, A. V. Akimov, A. A. Kaplyanskii, S. F. Kaplan, S. A. Grudinkin, A. V. Nashchekin, A. B. Pevtsov, V. G. Golubev, T. Berstermann, C. Brüggemann, M. Bombeck, and M. Bayer, “Filtering of elastic waves by opal-based hypersonic crystal,” Nano Lett. 10(4), 1319–1323 (2010).
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A. S. Salasyuk, A. V. Scherbakov, D. R. Yakovlev, A. V. Akimov, A. A. Kaplyanskii, S. F. Kaplan, S. A. Grudinkin, A. V. Nashchekin, A. B. Pevtsov, V. G. Golubev, T. Berstermann, C. Brüggemann, M. Bombeck, and M. Bayer, “Filtering of elastic waves by opal-based hypersonic crystal,” Nano Lett. 10(4), 1319–1323 (2010).
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Kent, A. J.

A. V. Akimov, E. S. K. Young, J. S. Sharp, V. Gusev, and A. J. Kent, “Coherent hypersonic closed-pipe organ like modes in supported polymer films,” Appl. Phys. Lett. 99(2), 021912 (2011).
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Kippenberg, T. J.

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C. Colvard, R. Merlin, M. V. Klein, and A. C. Gossard, “Observation of folded acoustic phonons in a semiconductor superlattice,” Phys. Rev. Lett. 45(4), 298–301 (1980).
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J. Chan, T. P. M. Alegre, A. H. Safavi-Naeini, J. T. Hill, A. Krause, S. Gröblacher, M. Aspelmeyer, and O. Painter, “Laser cooling of a nanomechanical oscillator into its quantum ground state,” Nature 478(7367), 89–92 (2011).
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A. Fainstein, N. D. Lanzillotti-Kimura, B. Jusserand, and B. Perrin, “Strong optical-mechanical coupling in a vertical GaAs/AlAs microcavity for subterahertz phonons and near-infrared light,” Phys. Rev. Lett. 110(3), 037403 (2013).
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Le Roux, G.

B. Jusserand, D. Paquet, F. Mollot, F. Alexandre, and G. Le Roux, “Influence of the supercell structure on the folded acoustical Raman line intensities in superlattices,” Phys. Rev. B Condens. Matter 35(6), 2808–2817 (1987).
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I. S. Grudinin, H. Lee, O. Painter, and K. J. Vahala, “Phonon laser action in a tunable two-level system,” Phys. Rev. Lett. 104(8), 083901 (2010).
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[CrossRef] [PubMed]

Lemaitre, A.

L. Ding, C. Baker, P. Senellart, A. Lemaitre, S. Ducci, G. Leo, and I. Favero, “High frequency GaAs nano-optomechanical disk resonator,” Phys. Rev. Lett. 105(26), 263903 (2010).
[CrossRef] [PubMed]

Leo, G.

L. Ding, C. Baker, P. Senellart, A. Lemaitre, S. Ducci, G. Leo, and I. Favero, “High frequency GaAs nano-optomechanical disk resonator,” Phys. Rev. Lett. 105(26), 263903 (2010).
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Li, D.

J. D. Teufel, T. Donner, D. Li, J. W. Harlow, M. S. Allman, K. Cicak, A. J. Sirois, J. D. Whittaker, K. W. Lehnert, and R. W. Simmonds, “Sideband cooling of micromechanical motion to the quantum ground state,” Nature 475(7356), 359–363 (2011).
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H. N. Lin, R. J. Stoner, H. J. Maris, and J. Tauc, “Phonon attenuation and velocity measurements in transparent materials by picosecond acoustic interferometry,” J. Appl. Phys. 69(7), 3816–3822 (1991).
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Q. Lin, J. Rosenberg, D. Chang, R. Camacho, M. Eichenfield, K. J. Vahala, and O. Painter, “Coherent mixing of mechanical excitations in nano-optomechanical structures,” Nat. Photonics 4(4), 236–242 (2010).
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I. Mahboob, K. Nishiguchi, A. Fujiwara, and H. Yamaguchi, “Phonon lasing in an electromechanical resonator,” Phys. Rev. Lett. 110(12), 127202 (2013).
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T. Gorishnyy, C. K. Ullal, M. Maldovan, G. Fytas, and E. L. Thomas, “Hypersonic phononic crystals,” Phys. Rev. Lett. 94(11), 115501 (2005).
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Manghnani, M. H.

X. Zhang, R. Sooryakumar, A. G. Every, and M. H. Manghnani, “Observation of organ-pipe acoustic excitations in supported thin films,” Phys. Rev. B 64, 081402R (2001).

Maris, H. J.

H.-Y. Hao and H. J. Maris, “Dispersion of the long-wavelength phonons in Ge, Si, GaAs, quartz, and sapphire,” Phys. Rev. B 63(22), 224301 (2001).
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C. J. Morath and H. J. Maris, “Phonon attenuation in amorphous solids studied by picosecond ultrasonics,” Phys. Rev. B Condens. Matter 54(1), 203–213 (1996).
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H. N. Lin, R. J. Stoner, H. J. Maris, and J. Tauc, “Phonon attenuation and velocity measurements in transparent materials by picosecond acoustic interferometry,” J. Appl. Phys. 69(7), 3816–3822 (1991).
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C. Thomsen, H. T. Grahn, H. J. Maris, and J. Tauc, “Surface generation and detection of phonons by picosecond light pulses,” Phys. Rev. B Condens. Matter 34(6), 4129–4138 (1986).
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Martinez, A.

Matsuda, O.

O. Matsuda, O. B. Wright, D. H. Hurley, V. Gusev, and K. Shimizu, “Coherent shear phonon generation and detection with picosecond laser acoustics,” Phys. Rev. B 77(22), 224110 (2008).
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O. Matsuda and O. B. Wright, “Reflection and transmission of light in multilayers perturbed by picosecond strain pulse propagation,” J. Opt. Soc. Am. B 19(12), 3028–3041 (2002).
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C. Colvard, R. Merlin, M. V. Klein, and A. C. Gossard, “Observation of folded acoustic phonons in a semiconductor superlattice,” Phys. Rev. Lett. 45(4), 298–301 (1980).
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Mollot, F.

B. Jusserand, D. Paquet, F. Mollot, F. Alexandre, and G. Le Roux, “Influence of the supercell structure on the folded acoustical Raman line intensities in superlattices,” Phys. Rev. B Condens. Matter 35(6), 2808–2817 (1987).
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C. J. Morath and H. J. Maris, “Phonon attenuation in amorphous solids studied by picosecond ultrasonics,” Phys. Rev. B Condens. Matter 54(1), 203–213 (1996).
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Nashchekin, A. V.

A. S. Salasyuk, A. V. Scherbakov, D. R. Yakovlev, A. V. Akimov, A. A. Kaplyanskii, S. F. Kaplan, S. A. Grudinkin, A. V. Nashchekin, A. B. Pevtsov, V. G. Golubev, T. Berstermann, C. Brüggemann, M. Bombeck, and M. Bayer, “Filtering of elastic waves by opal-based hypersonic crystal,” Nano Lett. 10(4), 1319–1323 (2010).
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Nishiguchi, K.

I. Mahboob, K. Nishiguchi, A. Fujiwara, and H. Yamaguchi, “Phonon lasing in an electromechanical resonator,” Phys. Rev. Lett. 110(12), 127202 (2013).
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J. Chan, T. P. M. Alegre, A. H. Safavi-Naeini, J. T. Hill, A. Krause, S. Gröblacher, M. Aspelmeyer, and O. Painter, “Laser cooling of a nanomechanical oscillator into its quantum ground state,” Nature 478(7367), 89–92 (2011).
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I. S. Grudinin, H. Lee, O. Painter, and K. J. Vahala, “Phonon laser action in a tunable two-level system,” Phys. Rev. Lett. 104(8), 083901 (2010).
[CrossRef] [PubMed]

Q. Lin, J. Rosenberg, D. Chang, R. Camacho, M. Eichenfield, K. J. Vahala, and O. Painter, “Coherent mixing of mechanical excitations in nano-optomechanical structures,” Nat. Photonics 4(4), 236–242 (2010).
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A. H. Safavi-Naeini, T. P. M. Alegre, M. Winger, and O. Painter, “Optomechanics in an ultrahigh-Q two-dimensional photonic crystal cavity,” Appl. Phys. Lett. 97(18), 181106 (2010).
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Paquet, D.

B. Jusserand, D. Paquet, F. Mollot, F. Alexandre, and G. Le Roux, “Influence of the supercell structure on the folded acoustical Raman line intensities in superlattices,” Phys. Rev. B Condens. Matter 35(6), 2808–2817 (1987).
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Pennec, Y.

Perrin, B.

A. Fainstein, N. D. Lanzillotti-Kimura, B. Jusserand, and B. Perrin, “Strong optical-mechanical coupling in a vertical GaAs/AlAs microcavity for subterahertz phonons and near-infrared light,” Phys. Rev. Lett. 110(3), 037403 (2013).
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Pevtsov, A. B.

A. S. Salasyuk, A. V. Scherbakov, D. R. Yakovlev, A. V. Akimov, A. A. Kaplyanskii, S. F. Kaplan, S. A. Grudinkin, A. V. Nashchekin, A. B. Pevtsov, V. G. Golubev, T. Berstermann, C. Brüggemann, M. Bombeck, and M. Bayer, “Filtering of elastic waves by opal-based hypersonic crystal,” Nano Lett. 10(4), 1319–1323 (2010).
[CrossRef] [PubMed]

Pinard, M.

O. Arcizet, P.-F. Cohadon, T. Briant, M. Pinard, and A. Heidmann, “Radiation-pressure cooling and optomechanical instability of a micromirror,” Nature 444(7115), 71–74 (2006).
[CrossRef] [PubMed]

Poinsotte, F.

J. Groenen, F. Poinsotte, A. Zwick, C. M. Sotomayor-Torres, M. Prunnila, and J. Ahopelto, “Inelastic light scattering by longitudinal acoustic phonons in thin silicon layers: From membranes to silicon-on-insulator structures,” Phys. Rev. B 77(4), 045420 (2008).
[CrossRef]

Prunnila, M.

J. Groenen, F. Poinsotte, A. Zwick, C. M. Sotomayor-Torres, M. Prunnila, and J. Ahopelto, “Inelastic light scattering by longitudinal acoustic phonons in thin silicon layers: From membranes to silicon-on-insulator structures,” Phys. Rev. B 77(4), 045420 (2008).
[CrossRef]

Rivière, R.

S. Weis, R. Rivière, S. Deléglise, E. Gavartin, O. Arcizet, A. Schliesser, and T. J. Kippenberg, “Optomechanically Induced Transparency,” Science 330(6010), 1520–1523 (2010).
[CrossRef] [PubMed]

Rosenberg, J.

Q. Lin, J. Rosenberg, D. Chang, R. Camacho, M. Eichenfield, K. J. Vahala, and O. Painter, “Coherent mixing of mechanical excitations in nano-optomechanical structures,” Nat. Photonics 4(4), 236–242 (2010).
[CrossRef]

Russell, P. St. J.

G. S. Wiederhecker, A. Brenn, H. L. Fragnito, and P. St. J. Russell, “Coherent control of ultrahigh-frequency acoustic resonances in photonic crystal fibers,” Phys. Rev. Lett. 100(20), 203903 (2008).
[CrossRef] [PubMed]

P. Dainese, P. St. J. Russell, G. S. Wiederhecker, N. Joly, H. L. Fragnito, V. Laude, and A. Khelif, “Raman-like light scattering from acoustic phonons in photonic crystal fiber,” Opt. Express 14(9), 4141–4150 (2006).
[CrossRef] [PubMed]

Safavi-Naeini, A. H.

J. Chan, T. P. M. Alegre, A. H. Safavi-Naeini, J. T. Hill, A. Krause, S. Gröblacher, M. Aspelmeyer, and O. Painter, “Laser cooling of a nanomechanical oscillator into its quantum ground state,” Nature 478(7367), 89–92 (2011).
[CrossRef] [PubMed]

A. H. Safavi-Naeini, T. P. M. Alegre, M. Winger, and O. Painter, “Optomechanics in an ultrahigh-Q two-dimensional photonic crystal cavity,” Appl. Phys. Lett. 97(18), 181106 (2010).
[CrossRef]

Salasyuk, A. S.

A. S. Salasyuk, A. V. Scherbakov, D. R. Yakovlev, A. V. Akimov, A. A. Kaplyanskii, S. F. Kaplan, S. A. Grudinkin, A. V. Nashchekin, A. B. Pevtsov, V. G. Golubev, T. Berstermann, C. Brüggemann, M. Bombeck, and M. Bayer, “Filtering of elastic waves by opal-based hypersonic crystal,” Nano Lett. 10(4), 1319–1323 (2010).
[CrossRef] [PubMed]

Scherbakov, A. V.

C. Brüggemann, A. V. Akimov, A. V. Scherbakov, M. Bombeck, C. Schneider, S. Hofling, A. Forchel, D. R. Yakovlev, and M. Bayer, “Laser mode feeding by shaking quantum dots in a planar microcavity,” Nat. Photonics 6(1), 30–34 (2012).
[CrossRef]

A. S. Salasyuk, A. V. Scherbakov, D. R. Yakovlev, A. V. Akimov, A. A. Kaplyanskii, S. F. Kaplan, S. A. Grudinkin, A. V. Nashchekin, A. B. Pevtsov, V. G. Golubev, T. Berstermann, C. Brüggemann, M. Bombeck, and M. Bayer, “Filtering of elastic waves by opal-based hypersonic crystal,” Nano Lett. 10(4), 1319–1323 (2010).
[CrossRef] [PubMed]

Schliesser, A.

S. Weis, R. Rivière, S. Deléglise, E. Gavartin, O. Arcizet, A. Schliesser, and T. J. Kippenberg, “Optomechanically Induced Transparency,” Science 330(6010), 1520–1523 (2010).
[CrossRef] [PubMed]

Schneider, C.

C. Brüggemann, A. V. Akimov, A. V. Scherbakov, M. Bombeck, C. Schneider, S. Hofling, A. Forchel, D. R. Yakovlev, and M. Bayer, “Laser mode feeding by shaking quantum dots in a planar microcavity,” Nat. Photonics 6(1), 30–34 (2012).
[CrossRef]

Senellart, P.

L. Ding, C. Baker, P. Senellart, A. Lemaitre, S. Ducci, G. Leo, and I. Favero, “High frequency GaAs nano-optomechanical disk resonator,” Phys. Rev. Lett. 105(26), 263903 (2010).
[CrossRef] [PubMed]

Sharp, J. S.

A. V. Akimov, E. S. K. Young, J. S. Sharp, V. Gusev, and A. J. Kent, “Coherent hypersonic closed-pipe organ like modes in supported polymer films,” Appl. Phys. Lett. 99(2), 021912 (2011).
[CrossRef]

J. Bailey and J. S. Sharp, “Infrared dielectric mirrors based on thin film multilayers of polystyrene and polyvinylpyrrolidone,” J. Polym. Sci., B, Polym. Phys. 49(10), 732–739 (2011).
[CrossRef]

P. M. Walker, J. S. Sharp, A. V. Akimov, and A. J. Kent, “Coherent elastic waves in a one-dimensional polymer hypersonic crystal,” Appl. Phys. Lett. 97(7), 073106 (2010).
[CrossRef]

Shimizu, K.

O. Matsuda, O. B. Wright, D. H. Hurley, V. Gusev, and K. Shimizu, “Coherent shear phonon generation and detection with picosecond laser acoustics,” Phys. Rev. B 77(22), 224110 (2008).
[CrossRef]

Siapkas, D. I.

Simmonds, R. W.

J. D. Teufel, T. Donner, D. Li, J. W. Harlow, M. S. Allman, K. Cicak, A. J. Sirois, J. D. Whittaker, K. W. Lehnert, and R. W. Simmonds, “Sideband cooling of micromechanical motion to the quantum ground state,” Nature 475(7356), 359–363 (2011).
[CrossRef] [PubMed]

Sirois, A. J.

J. D. Teufel, T. Donner, D. Li, J. W. Harlow, M. S. Allman, K. Cicak, A. J. Sirois, J. D. Whittaker, K. W. Lehnert, and R. W. Simmonds, “Sideband cooling of micromechanical motion to the quantum ground state,” Nature 475(7356), 359–363 (2011).
[CrossRef] [PubMed]

Sooryakumar, R.

X. Zhang, R. Sooryakumar, A. G. Every, and M. H. Manghnani, “Observation of organ-pipe acoustic excitations in supported thin films,” Phys. Rev. B 64, 081402R (2001).

Sotomayor-Torres, C. M.

J. Groenen, F. Poinsotte, A. Zwick, C. M. Sotomayor-Torres, M. Prunnila, and J. Ahopelto, “Inelastic light scattering by longitudinal acoustic phonons in thin silicon layers: From membranes to silicon-on-insulator structures,” Phys. Rev. B 77(4), 045420 (2008).
[CrossRef]

Stefanou, N.

W. Cheng, J. J. Wang, U. Jonas, G. Fytas, and N. Stefanou, “Observation and tuning of hypersonic bandgaps in colloidal crystals,” Nat. Mater. 5(10), 830–836 (2006).
[CrossRef] [PubMed]

Stoner, R. J.

H. N. Lin, R. J. Stoner, H. J. Maris, and J. Tauc, “Phonon attenuation and velocity measurements in transparent materials by picosecond acoustic interferometry,” J. Appl. Phys. 69(7), 3816–3822 (1991).
[CrossRef]

Tas, G.

G. Tas and H. J. Maris, “Electron diffusion in metals studied by picosecond ultrasonics,” Phys. Rev. B Condens. Matter 49(21), 15046–15054 (1994).
[CrossRef] [PubMed]

Tauc, J.

H. N. Lin, R. J. Stoner, H. J. Maris, and J. Tauc, “Phonon attenuation and velocity measurements in transparent materials by picosecond acoustic interferometry,” J. Appl. Phys. 69(7), 3816–3822 (1991).
[CrossRef]

C. Thomsen, H. T. Grahn, H. J. Maris, and J. Tauc, “Surface generation and detection of phonons by picosecond light pulses,” Phys. Rev. B Condens. Matter 34(6), 4129–4138 (1986).
[CrossRef] [PubMed]

Teufel, J. D.

J. D. Teufel, T. Donner, D. Li, J. W. Harlow, M. S. Allman, K. Cicak, A. J. Sirois, J. D. Whittaker, K. W. Lehnert, and R. W. Simmonds, “Sideband cooling of micromechanical motion to the quantum ground state,” Nature 475(7356), 359–363 (2011).
[CrossRef] [PubMed]

Thomas, E. L.

T. Gorishnyy, C. K. Ullal, M. Maldovan, G. Fytas, and E. L. Thomas, “Hypersonic phononic crystals,” Phys. Rev. Lett. 94(11), 115501 (2005).
[CrossRef] [PubMed]

Thomsen, C.

C. Thomsen, H. T. Grahn, H. J. Maris, and J. Tauc, “Surface generation and detection of phonons by picosecond light pulses,” Phys. Rev. B Condens. Matter 34(6), 4129–4138 (1986).
[CrossRef] [PubMed]

Ullal, C. K.

T. Gorishnyy, C. K. Ullal, M. Maldovan, G. Fytas, and E. L. Thomas, “Hypersonic phononic crystals,” Phys. Rev. Lett. 94(11), 115501 (2005).
[CrossRef] [PubMed]

Vahala, K. J.

Q. Lin, J. Rosenberg, D. Chang, R. Camacho, M. Eichenfield, K. J. Vahala, and O. Painter, “Coherent mixing of mechanical excitations in nano-optomechanical structures,” Nat. Photonics 4(4), 236–242 (2010).
[CrossRef]

I. S. Grudinin, H. Lee, O. Painter, and K. J. Vahala, “Phonon laser action in a tunable two-level system,” Phys. Rev. Lett. 104(8), 083901 (2010).
[CrossRef] [PubMed]

Vanner, M. R.

S. Gröblacher, K. Hammerer, M. R. Vanner, and M. Aspelmeyer, “Observation of strong coupling between a micromechanical resonator and an optical cavity field,” Nature 460(7256), 724–727 (2009).
[CrossRef] [PubMed]

Vasseur, J. O.

Walker, P. M.

P. M. Walker, J. S. Sharp, A. V. Akimov, and A. J. Kent, “Coherent elastic waves in a one-dimensional polymer hypersonic crystal,” Appl. Phys. Lett. 97(7), 073106 (2010).
[CrossRef]

Wang, J. J.

W. Cheng, J. J. Wang, U. Jonas, G. Fytas, and N. Stefanou, “Observation and tuning of hypersonic bandgaps in colloidal crystals,” Nat. Mater. 5(10), 830–836 (2006).
[CrossRef] [PubMed]

Weis, S.

S. Weis, R. Rivière, S. Deléglise, E. Gavartin, O. Arcizet, A. Schliesser, and T. J. Kippenberg, “Optomechanically Induced Transparency,” Science 330(6010), 1520–1523 (2010).
[CrossRef] [PubMed]

Whittaker, J. D.

J. D. Teufel, T. Donner, D. Li, J. W. Harlow, M. S. Allman, K. Cicak, A. J. Sirois, J. D. Whittaker, K. W. Lehnert, and R. W. Simmonds, “Sideband cooling of micromechanical motion to the quantum ground state,” Nature 475(7356), 359–363 (2011).
[CrossRef] [PubMed]

Wiederhecker, G. S.

G. S. Wiederhecker, A. Brenn, H. L. Fragnito, and P. St. J. Russell, “Coherent control of ultrahigh-frequency acoustic resonances in photonic crystal fibers,” Phys. Rev. Lett. 100(20), 203903 (2008).
[CrossRef] [PubMed]

P. Dainese, P. St. J. Russell, G. S. Wiederhecker, N. Joly, H. L. Fragnito, V. Laude, and A. Khelif, “Raman-like light scattering from acoustic phonons in photonic crystal fiber,” Opt. Express 14(9), 4141–4150 (2006).
[CrossRef] [PubMed]

Winger, M.

A. H. Safavi-Naeini, T. P. M. Alegre, M. Winger, and O. Painter, “Optomechanics in an ultrahigh-Q two-dimensional photonic crystal cavity,” Appl. Phys. Lett. 97(18), 181106 (2010).
[CrossRef]

Wright, O. B.

O. Matsuda, O. B. Wright, D. H. Hurley, V. Gusev, and K. Shimizu, “Coherent shear phonon generation and detection with picosecond laser acoustics,” Phys. Rev. B 77(22), 224110 (2008).
[CrossRef]

O. Matsuda and O. B. Wright, “Reflection and transmission of light in multilayers perturbed by picosecond strain pulse propagation,” J. Opt. Soc. Am. B 19(12), 3028–3041 (2002).
[CrossRef]

O. B. Wright, “Ultrafast nonequilibrium stress generation in gold and silver,” Phys. Rev. B Condens. Matter 49(14), 9985–9988 (1994).
[CrossRef] [PubMed]

O. B. Wright, “Thickness and sound velocity measurement in thin transparent films with laser picosecond acoustics,” J. Appl. Phys. 71(4), 1617–1629 (1992).
[CrossRef]

Yakovlev, D. R.

C. Brüggemann, A. V. Akimov, A. V. Scherbakov, M. Bombeck, C. Schneider, S. Hofling, A. Forchel, D. R. Yakovlev, and M. Bayer, “Laser mode feeding by shaking quantum dots in a planar microcavity,” Nat. Photonics 6(1), 30–34 (2012).
[CrossRef]

A. S. Salasyuk, A. V. Scherbakov, D. R. Yakovlev, A. V. Akimov, A. A. Kaplyanskii, S. F. Kaplan, S. A. Grudinkin, A. V. Nashchekin, A. B. Pevtsov, V. G. Golubev, T. Berstermann, C. Brüggemann, M. Bombeck, and M. Bayer, “Filtering of elastic waves by opal-based hypersonic crystal,” Nano Lett. 10(4), 1319–1323 (2010).
[CrossRef] [PubMed]

Yamaguchi, H.

I. Mahboob, K. Nishiguchi, A. Fujiwara, and H. Yamaguchi, “Phonon lasing in an electromechanical resonator,” Phys. Rev. Lett. 110(12), 127202 (2013).
[CrossRef]

Young, E. S. K.

A. V. Akimov, E. S. K. Young, J. S. Sharp, V. Gusev, and A. J. Kent, “Coherent hypersonic closed-pipe organ like modes in supported polymer films,” Appl. Phys. Lett. 99(2), 021912 (2011).
[CrossRef]

Zhang, X.

X. Zhang, R. Sooryakumar, A. G. Every, and M. H. Manghnani, “Observation of organ-pipe acoustic excitations in supported thin films,” Phys. Rev. B 64, 081402R (2001).

Zwick, A.

J. Groenen, F. Poinsotte, A. Zwick, C. M. Sotomayor-Torres, M. Prunnila, and J. Ahopelto, “Inelastic light scattering by longitudinal acoustic phonons in thin silicon layers: From membranes to silicon-on-insulator structures,” Phys. Rev. B 77(4), 045420 (2008).
[CrossRef]

Appl. Opt. (1)

Appl. Phys. Lett. (3)

A. V. Akimov, E. S. K. Young, J. S. Sharp, V. Gusev, and A. J. Kent, “Coherent hypersonic closed-pipe organ like modes in supported polymer films,” Appl. Phys. Lett. 99(2), 021912 (2011).
[CrossRef]

A. H. Safavi-Naeini, T. P. M. Alegre, M. Winger, and O. Painter, “Optomechanics in an ultrahigh-Q two-dimensional photonic crystal cavity,” Appl. Phys. Lett. 97(18), 181106 (2010).
[CrossRef]

P. M. Walker, J. S. Sharp, A. V. Akimov, and A. J. Kent, “Coherent elastic waves in a one-dimensional polymer hypersonic crystal,” Appl. Phys. Lett. 97(7), 073106 (2010).
[CrossRef]

J. Appl. Phys. (2)

H. N. Lin, R. J. Stoner, H. J. Maris, and J. Tauc, “Phonon attenuation and velocity measurements in transparent materials by picosecond acoustic interferometry,” J. Appl. Phys. 69(7), 3816–3822 (1991).
[CrossRef]

O. B. Wright, “Thickness and sound velocity measurement in thin transparent films with laser picosecond acoustics,” J. Appl. Phys. 71(4), 1617–1629 (1992).
[CrossRef]

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

J. Polym. Sci., B, Polym. Phys. (1)

J. Bailey and J. S. Sharp, “Infrared dielectric mirrors based on thin film multilayers of polystyrene and polyvinylpyrrolidone,” J. Polym. Sci., B, Polym. Phys. 49(10), 732–739 (2011).
[CrossRef]

Nano Lett. (1)

A. S. Salasyuk, A. V. Scherbakov, D. R. Yakovlev, A. V. Akimov, A. A. Kaplyanskii, S. F. Kaplan, S. A. Grudinkin, A. V. Nashchekin, A. B. Pevtsov, V. G. Golubev, T. Berstermann, C. Brüggemann, M. Bombeck, and M. Bayer, “Filtering of elastic waves by opal-based hypersonic crystal,” Nano Lett. 10(4), 1319–1323 (2010).
[CrossRef] [PubMed]

Nat. Mater. (1)

W. Cheng, J. J. Wang, U. Jonas, G. Fytas, and N. Stefanou, “Observation and tuning of hypersonic bandgaps in colloidal crystals,” Nat. Mater. 5(10), 830–836 (2006).
[CrossRef] [PubMed]

Nat. Photonics (2)

Q. Lin, J. Rosenberg, D. Chang, R. Camacho, M. Eichenfield, K. J. Vahala, and O. Painter, “Coherent mixing of mechanical excitations in nano-optomechanical structures,” Nat. Photonics 4(4), 236–242 (2010).
[CrossRef]

C. Brüggemann, A. V. Akimov, A. V. Scherbakov, M. Bombeck, C. Schneider, S. Hofling, A. Forchel, D. R. Yakovlev, and M. Bayer, “Laser mode feeding by shaking quantum dots in a planar microcavity,” Nat. Photonics 6(1), 30–34 (2012).
[CrossRef]

Nature (5)

S. Gröblacher, K. Hammerer, M. R. Vanner, and M. Aspelmeyer, “Observation of strong coupling between a micromechanical resonator and an optical cavity field,” Nature 460(7256), 724–727 (2009).
[CrossRef] [PubMed]

O. Arcizet, P.-F. Cohadon, T. Briant, M. Pinard, and A. Heidmann, “Radiation-pressure cooling and optomechanical instability of a micromirror,” Nature 444(7115), 71–74 (2006).
[CrossRef] [PubMed]

J. D. Teufel, T. Donner, D. Li, J. W. Harlow, M. S. Allman, K. Cicak, A. J. Sirois, J. D. Whittaker, K. W. Lehnert, and R. W. Simmonds, “Sideband cooling of micromechanical motion to the quantum ground state,” Nature 475(7356), 359–363 (2011).
[CrossRef] [PubMed]

J. Chan, T. P. M. Alegre, A. H. Safavi-Naeini, J. T. Hill, A. Krause, S. Gröblacher, M. Aspelmeyer, and O. Painter, “Laser cooling of a nanomechanical oscillator into its quantum ground state,” Nature 478(7367), 89–92 (2011).
[CrossRef] [PubMed]

M. Maldovan, “Sound and heat revolutions in phononics,” Nature 503(7475), 209–217 (2013).
[CrossRef] [PubMed]

Opt. Express (2)

Phys. Rev. B (5)

J.-C. Beugnot and V. Laude, “Electrostriction and guidance of acoustic phonons in optical fibers,” Phys. Rev. B 86(22), 224304 (2012).
[CrossRef]

J. Groenen, F. Poinsotte, A. Zwick, C. M. Sotomayor-Torres, M. Prunnila, and J. Ahopelto, “Inelastic light scattering by longitudinal acoustic phonons in thin silicon layers: From membranes to silicon-on-insulator structures,” Phys. Rev. B 77(4), 045420 (2008).
[CrossRef]

X. Zhang, R. Sooryakumar, A. G. Every, and M. H. Manghnani, “Observation of organ-pipe acoustic excitations in supported thin films,” Phys. Rev. B 64, 081402R (2001).

H.-Y. Hao and H. J. Maris, “Dispersion of the long-wavelength phonons in Ge, Si, GaAs, quartz, and sapphire,” Phys. Rev. B 63(22), 224301 (2001).
[CrossRef]

O. Matsuda, O. B. Wright, D. H. Hurley, V. Gusev, and K. Shimizu, “Coherent shear phonon generation and detection with picosecond laser acoustics,” Phys. Rev. B 77(22), 224110 (2008).
[CrossRef]

Phys. Rev. B Condens. Matter (5)

C. Thomsen, H. T. Grahn, H. J. Maris, and J. Tauc, “Surface generation and detection of phonons by picosecond light pulses,” Phys. Rev. B Condens. Matter 34(6), 4129–4138 (1986).
[CrossRef] [PubMed]

O. B. Wright, “Ultrafast nonequilibrium stress generation in gold and silver,” Phys. Rev. B Condens. Matter 49(14), 9985–9988 (1994).
[CrossRef] [PubMed]

G. Tas and H. J. Maris, “Electron diffusion in metals studied by picosecond ultrasonics,” Phys. Rev. B Condens. Matter 49(21), 15046–15054 (1994).
[CrossRef] [PubMed]

C. J. Morath and H. J. Maris, “Phonon attenuation in amorphous solids studied by picosecond ultrasonics,” Phys. Rev. B Condens. Matter 54(1), 203–213 (1996).
[CrossRef] [PubMed]

B. Jusserand, D. Paquet, F. Mollot, F. Alexandre, and G. Le Roux, “Influence of the supercell structure on the folded acoustical Raman line intensities in superlattices,” Phys. Rev. B Condens. Matter 35(6), 2808–2817 (1987).
[CrossRef] [PubMed]

Phys. Rev. Lett. (7)

T. Gorishnyy, C. K. Ullal, M. Maldovan, G. Fytas, and E. L. Thomas, “Hypersonic phononic crystals,” Phys. Rev. Lett. 94(11), 115501 (2005).
[CrossRef] [PubMed]

C. Colvard, R. Merlin, M. V. Klein, and A. C. Gossard, “Observation of folded acoustic phonons in a semiconductor superlattice,” Phys. Rev. Lett. 45(4), 298–301 (1980).
[CrossRef]

G. S. Wiederhecker, A. Brenn, H. L. Fragnito, and P. St. J. Russell, “Coherent control of ultrahigh-frequency acoustic resonances in photonic crystal fibers,” Phys. Rev. Lett. 100(20), 203903 (2008).
[CrossRef] [PubMed]

I. S. Grudinin, H. Lee, O. Painter, and K. J. Vahala, “Phonon laser action in a tunable two-level system,” Phys. Rev. Lett. 104(8), 083901 (2010).
[CrossRef] [PubMed]

I. Mahboob, K. Nishiguchi, A. Fujiwara, and H. Yamaguchi, “Phonon lasing in an electromechanical resonator,” Phys. Rev. Lett. 110(12), 127202 (2013).
[CrossRef]

L. Ding, C. Baker, P. Senellart, A. Lemaitre, S. Ducci, G. Leo, and I. Favero, “High frequency GaAs nano-optomechanical disk resonator,” Phys. Rev. Lett. 105(26), 263903 (2010).
[CrossRef] [PubMed]

A. Fainstein, N. D. Lanzillotti-Kimura, B. Jusserand, and B. Perrin, “Strong optical-mechanical coupling in a vertical GaAs/AlAs microcavity for subterahertz phonons and near-infrared light,” Phys. Rev. Lett. 110(3), 037403 (2013).
[CrossRef] [PubMed]

Physics (1)

Y. Léger, “Double magic coincidence in an optomechanical laser cavity,” Physics 6, 6 (2013).
[CrossRef]

Science (1)

S. Weis, R. Rivière, S. Deléglise, E. Gavartin, O. Arcizet, A. Schliesser, and T. J. Kippenberg, “Optomechanically Induced Transparency,” Science 330(6010), 1520–1523 (2010).
[CrossRef] [PubMed]

Other (4)

J. Sapriel, Acousto-Optics (John Wiley, 1979).

J. D. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton University, 2008).

J. W. Tucker and V. W. Rampton, Microwave Ultrasonics in Solid State Physics (North Holland, 1972).

T. Czerniuk, C. Brüggemann, J. Tepper, S. Brodbeck, C. Schneider, M. Kamp, S. Höfling, B. A. Glavin, D. R. Yakovlev, A. V. Akimov, and M. Bayer, “Controlled lasing from active optomechanical resonators,” http://arxiv.org/abs/1401.4359 .

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Figures (5)

Fig. 1
Fig. 1

(a) Diagram showing the experimental setup used to perform picosecond acoustic interferometry. The inset shows an example output signal where the reflected probe intensity is modulated by the strain pulse. (b) The expected Gaussian shape of the displacement pulse (black, solid line) and the associated strain (red line). The values shown on the axes correspond to the experimental conditions described in section 3.

Fig. 2
Fig. 2

Reflectance spectra for the DBR studied: (a) measured (top plot) and calculated spectra obtained at angles of 20° (red, dotted line), 35° (green, dashed line), 55° (blue, solid line); (b) a diagram showing the structure of the experimentally measured DBR which consisted of alternating layers of CA and PVK on a Si substrate; (c) the expected optical dispersion relation of a semi-infinite (n = ∞) DBR (left panel) and the period (T) of the Brillouin oscillations in DBR in the region of the photonic stop band (right panel).

Fig. 3
Fig. 3

(a) Examples of the signals obtained in the picosecond acoustic experiments for a variety of polarizations and angles of incidence. (b) Fast Fourier transforms (FFTs, symbols) performed on the signals shown in panel (a) in the time window between the dashed lines. The solid lines in panel (b) are the results of zero-padded FFT’s.

Fig. 4
Fig. 4

(a) Calculated intensity signals at different wavelengths of incident light for the DBR studied here. These calculations consider only the changes in structure due to displacement of internal interfaces. (b) Calculated intensity signals for the same DBR when photoelastic effects dominate the optical response of the structure i.e. β is large. The results of calculations are shown for optical probe wavelengths at the centre (λ = λc) and edges (λ = λl and λ = λh) of the PSB. (c) The results of calculations of the optical wavelength dependence of the oscillation period, T, for increasing numbers of layers in the DBR. As expected, when the number of layers increases, the dependence of T tends towards to the case for a semi-infinite DBR.

Fig. 5
Fig. 5

Measured (a, b) and calculated (c, d) reflected intensity signals for both s (dotted red line) and p (solid black line) polarizations of probe light at angles of incidence of 20° [(a), (c)] and 55° [(b), (d)]. The calculated signals reproduce the key features of the measured signals supporting the validity of the theoretical approach applied to modelling the optical response of the DBR. The dashed vertical lines in (b) and (d) highlight the shifts in the oscillation period that are observed between the p and s components of the reflected light intensity (see text).

Equations (4)

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u z ( z' )= u 0 exp( z ' 2 z 0 2 ) η zz ( z' )= d u z dz = 2 u 0 z' z 0 2 exp( z ' 2 z 0 2 )
T= λ 2 s 0 ε sin 2 θ ,
δ ε xx =δ ε yy = ε 0 2 p 12 η zz δ ε zz = ε 0 p 11 η zz
q z =2 k z + 2πl d 1 + d 2 ,

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