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Thermo-optical dynamics in an optically pumped Photonic Crystal nano-cavity
M. Brunstein, R. Braive, R. Hostein, A. Beveratos, I. Rober-Philip, I. Sagnes, T. J. Karle, A. M. Yacomotti, J. A. Levenson, V. Moreau, G. Tessier, and Y. De Wilde »View Author Affiliations
1Laboratoire de Photonique et de Nanostructures (CNRS UPR20), Route de Nozay, 91460 Marcoussis, France
2Institut Langevin, ESPCI ParisTech, CNRS UMR 7587, Laboratoire d’Optique Physique, 10 rue Vauquelin, 75 231 Paris Cedex 05, France
*Alejandro.Giacomotti@lpn.cnrs.fr
Optics Express, Vol. 17, Issue 19, pp. 17118-17129 (2009)
http://dx.doi.org/10.1364/OE.17.017118
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Abstract
Linear and non-linear thermo-optical dynamical regimes were investigated in a photonic crystal cavity. First, we have measured the thermal relaxation time in an InP-based nano-cavity with quantum dots in the presence of optical pumping. The experimental method presented here allows one to obtain the dynamics of temperature in a nanocavity. It is based on reflectivity measurements of a cw probe beam coupled through an adiabatically tapered fiber. Characteristic times of 1.0±0.2 µs and 0.9±0.2 µs for the heating and the cooling processes were obtained. Finally, thermal dynamics were also investigated in a thermo-optical bistable regime. Switch-on/off times of 2 µs and 4 µs respectively were measured, which could be explained in terms of a simple non-linear dynamical representation.
© 2009 Optical Society of America
OCIS Codes
(060.1810) Fiber optics and optical communications : Buffers, couplers, routers, switches, and multiplexers
(130.3120) Integrated optics : Integrated optics devices
(190.1450) Nonlinear optics : Bistability
(190.4390) Nonlinear optics : Nonlinear optics, integrated optics
ToC Category:
Photonic Crystals
History
Original Manuscript: May 21, 2009
Revised Manuscript: July 10, 2009
Manuscript Accepted: July 10, 2009
Published: September 11, 2009
Citation
M. Brunstein, R. Braive, R. Hostein, A. Beveratos, I. Rober-Philip, I. Sagnes, T. J. Karle, A. M. Yacomotti, J. A. Levenson, V. Moreau, G. Tessier, and Y. De Wilde, "Thermo-optical dynamics in an optically pumped Photonic Crystal nano-cavity," Opt. Express 17, 17118-17129 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-19-17118
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References
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- In Section 5 we study nonlinear thermo-optical effects which are shown to appear for a signal power greater than ~1 mW (see transmission curves as a function of input power in Fig. 4c).
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- Convection within the air gap can be neglected since the Rayleigh number for an air gap of thickness ? between two rigid walls, for a few degrees of temperature increment, is Ra?=g ?T ?3/a?T~10-10, whereas the onset for convection is Ra?~2 103. See for example J. Taine and J. P. Petit, Heat transfert (Prentice-Hall, 1993).
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- A. R. A. Chalcraft, S. Lam, D. O'Brien, T. F. Krauss, M. Sahin, D. Szymanski, D. Sanvitto, R. Oulton, M. S. Skolnick, A. M. Fox, and D. M. Whittaker, "Mode structure of the L3 photonic crystal cavity," Appl. Phys. Lett. 90, 241117 (2007). [CrossRef]
- We use the estimated ?th from the experimental results, ?th~110 ns (see Section 6.1). This is an approximation since ?th depends on the geometry of the hot spot which, in the resonant case, is given by the cavity volume, different from the pumped region given by the surface illumination.
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- Y. Akahane, T. Asano, B.-S. Song and S. Noda, "High-Q photonic nanocavity in a two-dimensional photonic crystal," Nature 425, 944 (2003). [CrossRef] [PubMed]
- H. Altug, D. Englund, and J. Vuckovic, "Ultrafast photonic crystal nanocavity laser," Nat. Phys. 2, 484 (2006). [CrossRef]
- Y. Akahane, T. Asano, B.-S. Song and S. Noda, "High-Q photonic nanocavity in a two-dimensional photonic crystal," Nature 425, 944 (2003). [CrossRef] [PubMed]
- K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu and A. Imamoglu, "Quantum nature of a strongly coupled single quantum dot-cavity system," Nature 445, 896 (2007);S. Laurent, S. Varoutsis, L. Le Gratiet, A. Lemaître, I. Sagnes, F. Raineri, A. Levenson, I. Robert-Philip and I. Abram, "Indistinguishable single photons from a single quantum dot in two-dimensional Photonic Crystal cavity," Appl. Phys. Lett. 87, 163107 (2005). [CrossRef] [PubMed]
- K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu and A. Imamoglu, "Quantum nature of a strongly coupled single quantum dot-cavity system," Nature 445, 896 (2007);S. Laurent, S. Varoutsis, L. Le Gratiet, A. Lemaître, I. Sagnes, F. Raineri, A. Levenson, I. Robert-Philip and I. Abram, "Indistinguishable single photons from a single quantum dot in two-dimensional Photonic Crystal cavity," Appl. Phys. Lett. 87, 163107 (2005). [CrossRef] [PubMed]
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- A. Michon, R. Hostein, G. Patriarche, N. Gogneau, G. Beaudoin, A. Beveratos, I. Robert?Philip, S. Laurent, S. Sauvage, P. Boucaud, I. Sagnes, "Metal organic vapor phase epitaxy of InAsP/InP(001) quantum dots for 1.55 ?m applications: Growth, structural, and optical properties," J. Appl. Phys. 104, 043504 (2008). [CrossRef]
- A. M. Yacomotti, P. Monnier, F. Raineri, B. Ben Bakir, C. Seassal, R. Raj, and J. A. Levenson, "Fast Thermo-Optical Excitability in a Two-Dimensional Photonic Crystal," Phys. Rev. Lett. 97, 143904 (2006). [CrossRef] [PubMed]
- A. M. Yacomotti, F. Raineri, G. Vecchi, P. Monnier, R. Raj, J. A. Levenson, B. Ben Bakir, C. Seassal, X. Letartre, P. Viktorovitch, L. Di Cioccio, J.-M. Fedeli, "All-optical bistable band-edge Bloch modes in a two-dimensional photonic cristal," Appl. Phys. Lett. 88, 231107 (2006). [CrossRef]
- R. Braive, S. Barbay, I. Sagnes, A. Miard, I. Robert-Philip, and A. Beveratos, "Transient chirp in high-speed photonic-crystal quantum-dot lasers with controlled spontaneous emission," Opt. Lett. 34, 554 (2009). [CrossRef] [PubMed]
- A. Michon, R. Hostein, G. Patriarche, N. Gogneau, G. Beaudoin, A. Beveratos, I. Robert?Philip, S. Laurent, S. Sauvage, P. Boucaud, I. Sagnes, "Metal organic vapor phase epitaxy of InAsP/InP(001) quantum dots for 1.55 ?m applications: Growth, structural, and optical properties," J. Appl. Phys. 104, 043504 (2008). [CrossRef]
- T. J. Johnson, M. Borselli, and O. Painter, "Self-induced optical modulation of the transmission through a high-Q silicon microdisk resonator," Opt. Express 14, 817-831 (2006). [CrossRef] [PubMed]
- P. E. Barclay, K. Srinivasan, M. Borselli, and O. Painter, "Probing the dispersive and spatial properties of photonic crystal waveguides via highly efficient coupling from fiber tapers," Appl. Phys. Lett. 85, (2004) [CrossRef]
- A. Michon, R. Hostein, G. Patriarche, N. Gogneau, G. Beaudoin, A. Beveratos, I. Robert?Philip, S. Laurent, S. Sauvage, P. Boucaud, I. Sagnes, "Metal organic vapor phase epitaxy of InAsP/InP(001) quantum dots for 1.55 ?m applications: Growth, structural, and optical properties," J. Appl. Phys. 104, 043504 (2008). [CrossRef]
- A. R. A. Chalcraft, S. Lam, D. O'Brien, T. F. Krauss, M. Sahin, D. Szymanski, D. Sanvitto, R. Oulton, M. S. Skolnick, A. M. Fox, and D. M. Whittaker, "Mode structure of the L3 photonic crystal cavity," Appl. Phys. Lett. 90, 241117 (2007). [CrossRef]
- F. G. Della Corte, G. Cocorullo, M. Iodice, and I. Rendina, "Temperature dependence of the thermo-optic coefficient of InP, GaAs, and SiC from room temperature to 600 K at the wavelength of 1.5 µm," Appl. Phys. Lett. 77, 1614 (2000). [CrossRef]
- F. G. Della Corte, G. Cocorullo, M. Iodice, and I. Rendina, "Temperature dependence of the thermo-optic coefficient of InP, GaAs, and SiC from room temperature to 600 K at the wavelength of 1.5 µm," Appl. Phys. Lett. 77, 1614 (2000). [CrossRef]
- A. M. Yacomotti, F. Raineri, G. Vecchi, P. Monnier, R. Raj, J. A. Levenson, B. Ben Bakir, C. Seassal, X. Letartre, P. Viktorovitch, L. Di Cioccio, J.-M. Fedeli, "All-optical bistable band-edge Bloch modes in a two-dimensional photonic cristal," Appl. Phys. Lett. 88, 231107 (2006). [CrossRef]
- H. Altug, D. Englund, and J. Vuckovic, "Ultrafast photonic crystal nanocavity laser," Nat. Phys. 2, 484 (2006). [CrossRef]
- K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu and A. Imamoglu, "Quantum nature of a strongly coupled single quantum dot-cavity system," Nature 445, 896 (2007);S. Laurent, S. Varoutsis, L. Le Gratiet, A. Lemaître, I. Sagnes, F. Raineri, A. Levenson, I. Robert-Philip and I. Abram, "Indistinguishable single photons from a single quantum dot in two-dimensional Photonic Crystal cavity," Appl. Phys. Lett. 87, 163107 (2005). [CrossRef] [PubMed]
- A. M. Yacomotti, F. Raineri, G. Vecchi, P. Monnier, R. Raj, J. A. Levenson, B. Ben Bakir, C. Seassal, X. Letartre, P. Viktorovitch, L. Di Cioccio, J.-M. Fedeli, "All-optical bistable band-edge Bloch modes in a two-dimensional photonic cristal," Appl. Phys. Lett. 88, 231107 (2006). [CrossRef]
- G. Tessier, G. Jerosolimski, S. Hole, D. Fournier, and C. Filloy, "Measuring and predicting the thermoreflectance sensitivity as a function of wavelength on encapsulated materials," Rev. Sci. Instrum. 74 (1), 495 (2003). [CrossRef]
- G. Tessier, G. Jerosolimski, S. Hole, D. Fournier, and C. Filloy, "Measuring and predicting the thermoreflectance sensitivity as a function of wavelength on encapsulated materials," Rev. Sci. Instrum. 74 (1), 495 (2003). [CrossRef]
- A. R. A. Chalcraft, S. Lam, D. O'Brien, T. F. Krauss, M. Sahin, D. Szymanski, D. Sanvitto, R. Oulton, M. S. Skolnick, A. M. Fox, and D. M. Whittaker, "Mode structure of the L3 photonic crystal cavity," Appl. Phys. Lett. 90, 241117 (2007). [CrossRef]
- K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu and A. Imamoglu, "Quantum nature of a strongly coupled single quantum dot-cavity system," Nature 445, 896 (2007);S. Laurent, S. Varoutsis, L. Le Gratiet, A. Lemaître, I. Sagnes, F. Raineri, A. Levenson, I. Robert-Philip and I. Abram, "Indistinguishable single photons from a single quantum dot in two-dimensional Photonic Crystal cavity," Appl. Phys. Lett. 87, 163107 (2005). [CrossRef] [PubMed]
- A. Michon, R. Hostein, G. Patriarche, N. Gogneau, G. Beaudoin, A. Beveratos, I. Robert?Philip, S. Laurent, S. Sauvage, P. Boucaud, I. Sagnes, "Metal organic vapor phase epitaxy of InAsP/InP(001) quantum dots for 1.55 ?m applications: Growth, structural, and optical properties," J. Appl. Phys. 104, 043504 (2008). [CrossRef]
- K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu and A. Imamoglu, "Quantum nature of a strongly coupled single quantum dot-cavity system," Nature 445, 896 (2007);S. Laurent, S. Varoutsis, L. Le Gratiet, A. Lemaître, I. Sagnes, F. Raineri, A. Levenson, I. Robert-Philip and I. Abram, "Indistinguishable single photons from a single quantum dot in two-dimensional Photonic Crystal cavity," Appl. Phys. Lett. 87, 163107 (2005). [CrossRef] [PubMed]
- Y. A. Vlasov, M. O’Boyle, H. F. Hamann and S. J. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438, 65 (2005). [CrossRef] [PubMed]
- K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu and A. Imamoglu, "Quantum nature of a strongly coupled single quantum dot-cavity system," Nature 445, 896 (2007);S. Laurent, S. Varoutsis, L. Le Gratiet, A. Lemaître, I. Sagnes, F. Raineri, A. Levenson, I. Robert-Philip and I. Abram, "Indistinguishable single photons from a single quantum dot in two-dimensional Photonic Crystal cavity," Appl. Phys. Lett. 87, 163107 (2005). [CrossRef] [PubMed]
- G. Tessier, G. Jerosolimski, S. Hole, D. Fournier, and C. Filloy, "Measuring and predicting the thermoreflectance sensitivity as a function of wavelength on encapsulated materials," Rev. Sci. Instrum. 74 (1), 495 (2003). [CrossRef]
- A. Michon, R. Hostein, G. Patriarche, N. Gogneau, G. Beaudoin, A. Beveratos, I. Robert?Philip, S. Laurent, S. Sauvage, P. Boucaud, I. Sagnes, "Metal organic vapor phase epitaxy of InAsP/InP(001) quantum dots for 1.55 ?m applications: Growth, structural, and optical properties," J. Appl. Phys. 104, 043504 (2008). [CrossRef]
- K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu and A. Imamoglu, "Quantum nature of a strongly coupled single quantum dot-cavity system," Nature 445, 896 (2007);S. Laurent, S. Varoutsis, L. Le Gratiet, A. Lemaître, I. Sagnes, F. Raineri, A. Levenson, I. Robert-Philip and I. Abram, "Indistinguishable single photons from a single quantum dot in two-dimensional Photonic Crystal cavity," Appl. Phys. Lett. 87, 163107 (2005). [CrossRef] [PubMed]
- C. Sauvan, P. Lalanne and J.P. Hugonin, "Slow-wave effect and mode-profile matching in Photonic Crystal microcavities," Phys. Rev. B 71, 165118 (2005). [CrossRef]
- I. Hwang, S. Kim, J. Yang, S. Kim, S. Lee, and Y. Lee, "Curved-microfiber photon coupling for photonic crystal light emitter," Appl. Phys. Lett. 87, 131107 (2005) [CrossRef]
- K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu and A. Imamoglu, "Quantum nature of a strongly coupled single quantum dot-cavity system," Nature 445, 896 (2007);S. Laurent, S. Varoutsis, L. Le Gratiet, A. Lemaître, I. Sagnes, F. Raineri, A. Levenson, I. Robert-Philip and I. Abram, "Indistinguishable single photons from a single quantum dot in two-dimensional Photonic Crystal cavity," Appl. Phys. Lett. 87, 163107 (2005). [CrossRef] [PubMed]
- F. G. Della Corte, G. Cocorullo, M. Iodice, and I. Rendina, "Temperature dependence of the thermo-optic coefficient of InP, GaAs, and SiC from room temperature to 600 K at the wavelength of 1.5 µm," Appl. Phys. Lett. 77, 1614 (2000). [CrossRef]
- G. Tessier, G. Jerosolimski, S. Hole, D. Fournier, and C. Filloy, "Measuring and predicting the thermoreflectance sensitivity as a function of wavelength on encapsulated materials," Rev. Sci. Instrum. 74 (1), 495 (2003). [CrossRef]
- I. Hwang, S. Kim, J. Yang, S. Kim, S. Lee, and Y. Lee, "Curved-microfiber photon coupling for photonic crystal light emitter," Appl. Phys. Lett. 87, 131107 (2005) [CrossRef]
- I. Hwang, S. Kim, J. Yang, S. Kim, S. Lee, and Y. Lee, "Curved-microfiber photon coupling for photonic crystal light emitter," Appl. Phys. Lett. 87, 131107 (2005) [CrossRef]
- A. R. A. Chalcraft, S. Lam, D. O'Brien, T. F. Krauss, M. Sahin, D. Szymanski, D. Sanvitto, R. Oulton, M. S. Skolnick, A. M. Fox, and D. M. Whittaker, "Mode structure of the L3 photonic crystal cavity," Appl. Phys. Lett. 90, 241117 (2007). [CrossRef]
- M. Notomi, T. Tanabe, A. Shinya, E. Kuramochi, H. Taniyama, S. Mitsugi, M. Morita, "Nonlinear and adiabatic control of high-Q photonic crystal nanocavities," Opt. Express 15, 17458 (2007). [CrossRef] [PubMed]
- T. Tanabe, M. Notomi, S. Mitsugi, A. Shinya, and E. Kuramochi, "All-optical switches on a silicon chip realized using photonic crystal nanocavities," Appl. Phys. Lett. 87, 151112 (2005). [CrossRef]
- M. Notomi, A. Shinya, S. Mitsugi, G. Kira, E. Kuramochi, and T. Tanabe, "Optical bistable switching action of Si high-Q photonic-crystal nanocavities," Opt. Express 13, 2678-2687 (2005). [CrossRef] [PubMed]
- C. Sauvan, P. Lalanne and J.P. Hugonin, "Slow-wave effect and mode-profile matching in Photonic Crystal microcavities," Phys. Rev. B 71, 165118 (2005). [CrossRef]
- A. R. A. Chalcraft, S. Lam, D. O'Brien, T. F. Krauss, M. Sahin, D. Szymanski, D. Sanvitto, R. Oulton, M. S. Skolnick, A. M. Fox, and D. M. Whittaker, "Mode structure of the L3 photonic crystal cavity," Appl. Phys. Lett. 90, 241117 (2007). [CrossRef]
- A. Michon, R. Hostein, G. Patriarche, N. Gogneau, G. Beaudoin, A. Beveratos, I. Robert?Philip, S. Laurent, S. Sauvage, P. Boucaud, I. Sagnes, "Metal organic vapor phase epitaxy of InAsP/InP(001) quantum dots for 1.55 ?m applications: Growth, structural, and optical properties," J. Appl. Phys. 104, 043504 (2008). [CrossRef]
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J. Opt. Soc. Am. B
- See for example B. Maes, P. Bienstman, and R. Baets, "Switching in coupled nonlinear photonic-crystal resonators," J. Opt. Soc. Am. B 22, 1778 (2005). [CrossRef]
Nat. Phys.
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Nature
- Y. A. Vlasov, M. O’Boyle, H. F. Hamann and S. J. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438, 65 (2005). [CrossRef] [PubMed]
- K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu and A. Imamoglu, "Quantum nature of a strongly coupled single quantum dot-cavity system," Nature 445, 896 (2007);S. Laurent, S. Varoutsis, L. Le Gratiet, A. Lemaître, I. Sagnes, F. Raineri, A. Levenson, I. Robert-Philip and I. Abram, "Indistinguishable single photons from a single quantum dot in two-dimensional Photonic Crystal cavity," Appl. Phys. Lett. 87, 163107 (2005). [CrossRef] [PubMed]
- Y. Akahane, T. Asano, B.-S. Song and S. Noda, "High-Q photonic nanocavity in a two-dimensional photonic crystal," Nature 425, 944 (2003). [CrossRef] [PubMed]
Opt. Express
- C. Grillet, C. Smith, D. Freeman, S. Madden, B. L-Davies, E. C. Magi, D. J. Moss and B. J. Eggleton, "Efficient coupling to chalcogenide glass photonic crystal waveguides via silica optical fiber nanowires," Opt. Express 14, 1070 (2006). [CrossRef] [PubMed]
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- M. Notomi, A. Shinya, S. Mitsugi, G. Kira, E. Kuramochi, and T. Tanabe, "Optical bistable switching action of Si high-Q photonic-crystal nanocavities," Opt. Express 13, 2678-2687 (2005). [CrossRef] [PubMed]
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Opt. Lett.
- R. Braive, S. Barbay, I. Sagnes, A. Miard, I. Robert-Philip, and A. Beveratos, "Transient chirp in high-speed photonic-crystal quantum-dot lasers with controlled spontaneous emission," Opt. Lett. 34, 554 (2009). [CrossRef] [PubMed]
Optics Express
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Phys. Rev. B
- C. Sauvan, P. Lalanne and J.P. Hugonin, "Slow-wave effect and mode-profile matching in Photonic Crystal microcavities," Phys. Rev. B 71, 165118 (2005). [CrossRef]
Phys. Rev. Lett.
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Rev. Sci. Instrum.
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Other
- In Section 5 we study nonlinear thermo-optical effects which are shown to appear for a signal power greater than ~1 mW (see transmission curves as a function of input power in Fig. 4c).
- We use the estimated ?th from the experimental results, ?th~110 ns (see Section 6.1). This is an approximation since ?th depends on the geometry of the hot spot which, in the resonant case, is given by the cavity volume, different from the pumped region given by the surface illumination.
- Convection within the air gap can be neglected since the Rayleigh number for an air gap of thickness ? between two rigid walls, for a few degrees of temperature increment, is Ra?=g ?T ?3/a?T~10-10, whereas the onset for convection is Ra?~2 103. See for example J. Taine and J. P. Petit, Heat transfert (Prentice-Hall, 1993).
- The thermal relaxation time for a PhC membrane on oxide can be easily calculated under the hypothesis of 1D vertical heat flow through the oxide layer to the substrate. For instance, for a 250 nm-thick Si membrane (?Si=1.5 W/cm K, ?Si=0.9 cm2/s) in contact with a 1 µm-thick SiO2 layer (?SiO2=0.013 W/cm K, ?SiO2=0.006 cm2/s), a numerical simulation of the 1D heat equation gives tth=950 ns.
2009, Braive, Opt. Lett.
- A. Michon, R. Hostein, G. Patriarche, N. Gogneau, G. Beaudoin, A. Beveratos, I. Robert?Philip, S. Laurent, S. Sauvage, P. Boucaud, I. Sagnes, "Metal organic vapor phase epitaxy of InAsP/InP(001) quantum dots for 1.55 ?m applications: Growth, structural, and optical properties," J. Appl. Phys. 104, 043504 (2008). [CrossRef]
- A. R. A. Chalcraft, S. Lam, D. O'Brien, T. F. Krauss, M. Sahin, D. Szymanski, D. Sanvitto, R. Oulton, M. S. Skolnick, A. M. Fox, and D. M. Whittaker, "Mode structure of the L3 photonic crystal cavity," Appl. Phys. Lett. 90, 241117 (2007). [CrossRef]
- K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu and A. Imamoglu, "Quantum nature of a strongly coupled single quantum dot-cavity system," Nature 445, 896 (2007);S. Laurent, S. Varoutsis, L. Le Gratiet, A. Lemaître, I. Sagnes, F. Raineri, A. Levenson, I. Robert-Philip and I. Abram, "Indistinguishable single photons from a single quantum dot in two-dimensional Photonic Crystal cavity," Appl. Phys. Lett. 87, 163107 (2005). [CrossRef] [PubMed]
- K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu and A. Imamoglu, "Quantum nature of a strongly coupled single quantum dot-cavity system," Nature 445, 896 (2007);S. Laurent, S. Varoutsis, L. Le Gratiet, A. Lemaître, I. Sagnes, F. Raineri, A. Levenson, I. Robert-Philip and I. Abram, "Indistinguishable single photons from a single quantum dot in two-dimensional Photonic Crystal cavity," Appl. Phys. Lett. 87, 163107 (2005). [CrossRef] [PubMed]
- A. M. Yacomotti, F. Raineri, G. Vecchi, P. Monnier, R. Raj, J. A. Levenson, B. Ben Bakir, C. Seassal, X. Letartre, P. Viktorovitch, L. Di Cioccio, J.-M. Fedeli, "All-optical bistable band-edge Bloch modes in a two-dimensional photonic cristal," Appl. Phys. Lett. 88, 231107 (2006). [CrossRef]
- H. Altug, D. Englund, and J. Vuckovic, "Ultrafast photonic crystal nanocavity laser," Nat. Phys. 2, 484 (2006). [CrossRef]
- A. M. Yacomotti, P. Monnier, F. Raineri, B. Ben Bakir, C. Seassal, R. Raj, and J. A. Levenson, "Fast Thermo-Optical Excitability in a Two-Dimensional Photonic Crystal," Phys. Rev. Lett. 97, 143904 (2006). [CrossRef] [PubMed]
- M. T. Tinker and J-B. Lee, "Thermal and optical simulation of a photonic crystal light modulator based on the thermo-optic shift of the cut-off frequency," Optics Express 18, 7174-7187 (2005). [CrossRef]
- Y. A. Vlasov, M. O’Boyle, H. F. Hamann and S. J. McNab, "Active control of slow light on a chip with photonic crystal waveguides," Nature 438, 65 (2005). [CrossRef] [PubMed]
- T. Tanabe, M. Notomi, S. Mitsugi, A. Shinya, and E. Kuramochi, "All-optical switches on a silicon chip realized using photonic crystal nanocavities," Appl. Phys. Lett. 87, 151112 (2005). [CrossRef]
- C. Sauvan, P. Lalanne and J.P. Hugonin, "Slow-wave effect and mode-profile matching in Photonic Crystal microcavities," Phys. Rev. B 71, 165118 (2005). [CrossRef]
- I. Hwang, S. Kim, J. Yang, S. Kim, S. Lee, and Y. Lee, "Curved-microfiber photon coupling for photonic crystal light emitter," Appl. Phys. Lett. 87, 131107 (2005) [CrossRef]
- F. Raineri, G. Vecchi, A. M. Yacomotti, C. Seassal, P. Viktorovitch, R. Raj and A. Levenson, "Doubly resonant photonic crystal for efficient laser operation: Pumping and lasing at low group velocity photonic modes," Appl. Phys. Lett. 86, 011116 (2005). [CrossRef]
- P. E. Barclay, K. Srinivasan, M. Borselli, and O. Painter, "Probing the dispersive and spatial properties of photonic crystal waveguides via highly efficient coupling from fiber tapers," Appl. Phys. Lett. 85, (2004) [CrossRef]
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- Y. Akahane, T. Asano, B.-S. Song and S. Noda, "High-Q photonic nanocavity in a two-dimensional photonic crystal," Nature 425, 944 (2003). [CrossRef] [PubMed]
- F. G. Della Corte, G. Cocorullo, M. Iodice, and I. Rendina, "Temperature dependence of the thermo-optic coefficient of InP, GaAs, and SiC from room temperature to 600 K at the wavelength of 1.5 µm," Appl. Phys. Lett. 77, 1614 (2000). [CrossRef]
- L. Pottier, "Micrometer scale visualization of thermal waves by photoreflectance microscopy," Appl. Phys. Lett. 64, 1618-1619 (1994). [CrossRef]
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