Measurement of the linear thermo-optical coefficient of Ga<sub>0.51</sub>In<sub>0.49</sub>P using photonic crystal nanocavities

Sergei Sokolov; Jin Lian; Sylvain Combrié; Alfredo De Rossi; Allard P. Mosk

doi:10.1364/AO.56.003219

Measurement of the linear thermo-optical coefficient of Ga_0.51In_0.49P using photonic crystal nanocavities

Sergei Sokolov, Jin Lian, Sylvain Combrié, Alfredo De Rossi, and Allard P. Mosk

Applied Optics
Vol. 56,
Issue 11,
pp. 3219-3222
(2017)
•https://doi.org/10.1364/AO.56.003219

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Sergei Sokolov, Jin Lian, Sylvain Combrié, Alfredo De Rossi, and Allard P. Mosk, "Measurement of the linear thermo-optical coefficient of Ga_0.51In_0.49P using photonic crystal nanocavities," Appl. Opt. 56, 3219-3222 (2017)

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Related Topics
Table of Contents Category
- Materials
Optics & Photonics Topics
?

The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Microcavities (140.3945)
- Integrated optics materials (160.3130)
- Thermo-optical materials (160.6840)
- Nanophotonics and photonic crystals (350.4238)
- Resonance (260.5740)

About this Article
History
- Original Manuscript: December 19, 2016
- Revised Manuscript: March 6, 2017
- Manuscript Accepted: March 15, 2017
- Published: April 10, 2017

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Open Access

Abstract

${Ga}_{0.51} {In}_{0.49} P$ is a promising candidate for thermally tunable nanophotonic devices due to its low thermal conductivity. In this work we study its thermo-optical response. We obtain the linear thermo-optical coefficient $d n / d T = 2.0 \pm 0.3 \cdot 10^{- 4} K^{- 1}$ by investigating the transmission properties of a single mode-gap photonic crystal nanocavity.

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References

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Year
|
Author
|
Publication

A. Faraon, D. Englund, D. Bulla, B. Luther-Davies, B. J. Eggleton, N. Stoltz, P. Petroff, and J. Vučković, “Local tuning of photonic crystal cavities using chalcogenide glasses,” Appl. Phys. Lett. 92, 043123 (2008).
[Crossref]
K. Rivoire, Z. Lin, F. Hatami, and J. Vučković, “Sum-frequency generation in doubly resonant GaP photonic crystal nanocavities,” Appl. Phys. Lett. 97, 043103 (2010).
[Crossref]
Y. Yu, E. Palushani, M. Heuck, N. Kuznetsova, P. Trøst, S. Ek, D. Vukovic, C. Peucheret, L. Katsuo, S. Combrié, A. D. Rossi, K. Yvind, and J. Mørk, “Switching characteristics of an InP photonic crystal nanocavity: experiment and theory,” Opt. Express 21, 9221–9231 (2013).
M. Notomi and H. Taniyama, “On-demand ultrahigh-Q cavity formation and photon pinning via dynamic waveguide tuning,” Opt. Express 16, 18657–18666 (2008).
[Crossref]
F. Riboli, N. Caselli, S. Vignolini, F. Intonti, K. Vynck, P. Barthelemy, A. Gerardino, L. Balet, L. Li, A. Fiore, M. Gurioli, and D. Wiersma, “Engineering of light confinement in strongly scattering disordered media,” Nat. Mater. 13, 720–725 (2014).
[Crossref]
J. Pan, Y. Huo, K. Yamanaka, S. Sandhu, L. Scaccabarozzi, R. Timp, M. L. Povinelli, S. Fan, M. M. Fejer, and J. S. Harris, “Aligning microcavity resonances in silicon photonic-crystal slabs using laser-pumped thermal tuning,” Appl. Phys. Lett. 92, 103114 (2008).
[Crossref]
S. Sokolov, J. Lian, E. Yüce, S. Combrié, G. Lehoucq, A. De Rossi, and A. P. Mosk, “Local thermal resonance control of GaInP photonic crystal membrane cavities using ambient gas cooling,” Appl. Phys. Lett. 106, 171113 (2015).
[Crossref]
J. Lian, S. Sokolov, E. Yüce, S. Combrié, A. De Rossi, and A. P. Mosk, “Measurement of the profiles of disorder-induced localized resonances by local tuning,” Opt. Express 24, 21939–21947 (2016).
[Crossref]
A. Martin, G. Moille, S. Combrié, G. Lehoucq, T. Debuisschert, J. Lian, S. Sokolov, A. P. Mosk, and A. De Rossi, “Triply-resonant continuous wave parametric source with a microwatt pump,” ArXiv:1602.04833 (2016).
S. Combrié, Q. V. Tran, A. De Rossi, C. Husko, and P. Colman, “High quality GaInP nonlinear photonic crystals with minimized nonlinear absorption,” Appl. Phys. Lett. 95, 221108 (2009).
[Crossref]
A. S. Clark, C. Husko, M. J. Collins, G. Lehoucq, S. Xavier, A. D. De Rossi, S. Combrié, C. Xiong, and B. J. Eggleton, “Heralded single-photon source in a III-V photonic crystal,” Opt. Lett. 38, 649–651 (2013).
[Crossref]
S. Adachi, “Lattice thermal conductivity of group-IV and III-V semiconductor alloys,” J. Appl. Phys. 102, 063502 (2007).
[Crossref]
E. Kuramochi, M. Notomi, S. Mitsugi, A. Shinya, T. Tanabe, and T. Watanabe, “Ultrahigh-Q photonic crystal nanocavities realized by the local width modulation of a line defect,” Appl. Phys. Lett. 88, 041112 (2006).
[Crossref]
S. Combrié, A. De Rossi, Q. V. Tran, and H. Benisty, “GaAs photonic crystal cavity with ultrahigh Q: microwatt nonlinearity at 1.55 μm,” Opt. Lett. 33, 1908–1910 (2008).
[Crossref]
C. J. Chen, J. Zheng, T. Gu, J. F. McMillan, M. Yu, G. Lo, D. Kwong, and C. W. Wong, “Selective tuning of high-Q silicon photonic crystal nanocavities via laser-assisted local oxydation,” Opt. Express 19, 12480–12489 (2011).
[Crossref]
K. Navr, “Thermal oxidation of gallium arsenide,” Czech. J. Phys. B 18, 266–274 (1968).
[Crossref]
S. Sokolov, J. Lian, E. Yüce, S. Combrié, A. De Rossi, and A. P. Mosk, “Tuning out disorder-induced localization in nanophotonic cavity arrays,” Opt. Express 25, 4598–4606 (2017).
[Crossref]
U. Fano, “Effects of configuration interaction on intensities and phase shifts,” Phys. Rev. 124, 1866–1878 (1961).
[Crossref]
W. Zhou, D. Zhao, Y. C. Shuai, H. Yang, S. Chuwongin, A. Chadha, J. H. Seo, K. X. Wang, V. Liu, Z. Ma, and S. Fan, “Progress in 2D photonic crystal Fano resonance photonics,” Prog. Quantum Electron. 38, 1–74 (2014).
[Crossref]
J. Joannopoulos, S. G. Johnson, J. N. Winn, and R. D. Meade, Photonic Crystals: Molding the Flow of Light (Princeton University, 2008).
J. Zhang, P. Huang, Y. Li, and H. Wei, “Design and performance of an absolute gas refractometer based on a synthetic pseudo-wavelength method,” Appl. Opt. 52, 3671–3679 (2013).
[Crossref]
I. Kudman and R. J. Paff, “Thermal expansion of InxGa1−xP alloys,” J. Appl. Phys. 43, 3760–3762 (1972).
[Crossref]

2017 (1)

S. Sokolov, J. Lian, E. Yüce, S. Combrié, A. De Rossi, and A. P. Mosk, “Tuning out disorder-induced localization in nanophotonic cavity arrays,” Opt. Express 25, 4598–4606 (2017).
[Crossref]

2016 (1)

J. Lian, S. Sokolov, E. Yüce, S. Combrié, A. De Rossi, and A. P. Mosk, “Measurement of the profiles of disorder-induced localized resonances by local tuning,” Opt. Express 24, 21939–21947 (2016).
[Crossref]

2015 (1)

S. Sokolov, J. Lian, E. Yüce, S. Combrié, G. Lehoucq, A. De Rossi, and A. P. Mosk, “Local thermal resonance control of GaInP photonic crystal membrane cavities using ambient gas cooling,” Appl. Phys. Lett. 106, 171113 (2015).
[Crossref]

2014 (2)

F. Riboli, N. Caselli, S. Vignolini, F. Intonti, K. Vynck, P. Barthelemy, A. Gerardino, L. Balet, L. Li, A. Fiore, M. Gurioli, and D. Wiersma, “Engineering of light confinement in strongly scattering disordered media,” Nat. Mater. 13, 720–725 (2014).
[Crossref]

W. Zhou, D. Zhao, Y. C. Shuai, H. Yang, S. Chuwongin, A. Chadha, J. H. Seo, K. X. Wang, V. Liu, Z. Ma, and S. Fan, “Progress in 2D photonic crystal Fano resonance photonics,” Prog. Quantum Electron. 38, 1–74 (2014).
[Crossref]

2013 (3)

Y. Yu, E. Palushani, M. Heuck, N. Kuznetsova, P. Trøst, S. Ek, D. Vukovic, C. Peucheret, L. Katsuo, S. Combrié, A. D. Rossi, K. Yvind, and J. Mørk, “Switching characteristics of an InP photonic crystal nanocavity: experiment and theory,” Opt. Express 21, 9221–9231 (2013).

A. S. Clark, C. Husko, M. J. Collins, G. Lehoucq, S. Xavier, A. D. De Rossi, S. Combrié, C. Xiong, and B. J. Eggleton, “Heralded single-photon source in a III-V photonic crystal,” Opt. Lett. 38, 649–651 (2013).
[Crossref]

J. Zhang, P. Huang, Y. Li, and H. Wei, “Design and performance of an absolute gas refractometer based on a synthetic pseudo-wavelength method,” Appl. Opt. 52, 3671–3679 (2013).
[Crossref]

2011 (1)

C. J. Chen, J. Zheng, T. Gu, J. F. McMillan, M. Yu, G. Lo, D. Kwong, and C. W. Wong, “Selective tuning of high-Q silicon photonic crystal nanocavities via laser-assisted local oxydation,” Opt. Express 19, 12480–12489 (2011).
[Crossref]

2010 (1)

K. Rivoire, Z. Lin, F. Hatami, and J. Vučković, “Sum-frequency generation in doubly resonant GaP photonic crystal nanocavities,” Appl. Phys. Lett. 97, 043103 (2010).
[Crossref]

2009 (1)

S. Combrié, Q. V. Tran, A. De Rossi, C. Husko, and P. Colman, “High quality GaInP nonlinear photonic crystals with minimized nonlinear absorption,” Appl. Phys. Lett. 95, 221108 (2009).
[Crossref]

2008 (4)

A. Faraon, D. Englund, D. Bulla, B. Luther-Davies, B. J. Eggleton, N. Stoltz, P. Petroff, and J. Vučković, “Local tuning of photonic crystal cavities using chalcogenide glasses,” Appl. Phys. Lett. 92, 043123 (2008).
[Crossref]

J. Pan, Y. Huo, K. Yamanaka, S. Sandhu, L. Scaccabarozzi, R. Timp, M. L. Povinelli, S. Fan, M. M. Fejer, and J. S. Harris, “Aligning microcavity resonances in silicon photonic-crystal slabs using laser-pumped thermal tuning,” Appl. Phys. Lett. 92, 103114 (2008).
[Crossref]

S. Combrié, A. De Rossi, Q. V. Tran, and H. Benisty, “GaAs photonic crystal cavity with ultrahigh Q: microwatt nonlinearity at 1.55 μm,” Opt. Lett. 33, 1908–1910 (2008).
[Crossref]

M. Notomi and H. Taniyama, “On-demand ultrahigh-Q cavity formation and photon pinning via dynamic waveguide tuning,” Opt. Express 16, 18657–18666 (2008).
[Crossref]

2007 (1)

S. Adachi, “Lattice thermal conductivity of group-IV and III-V semiconductor alloys,” J. Appl. Phys. 102, 063502 (2007).
[Crossref]

2006 (1)

E. Kuramochi, M. Notomi, S. Mitsugi, A. Shinya, T. Tanabe, and T. Watanabe, “Ultrahigh-Q photonic crystal nanocavities realized by the local width modulation of a line defect,” Appl. Phys. Lett. 88, 041112 (2006).
[Crossref]

1972 (1)

I. Kudman and R. J. Paff, “Thermal expansion of InxGa1−xP alloys,” J. Appl. Phys. 43, 3760–3762 (1972).
[Crossref]

1968 (1)

K. Navr, “Thermal oxidation of gallium arsenide,” Czech. J. Phys. B 18, 266–274 (1968).
[Crossref]

1961 (1)

U. Fano, “Effects of configuration interaction on intensities and phase shifts,” Phys. Rev. 124, 1866–1878 (1961).
[Crossref]

Adachi, S.

S. Adachi, “Lattice thermal conductivity of group-IV and III-V semiconductor alloys,” J. Appl. Phys. 102, 063502 (2007).
[Crossref]

Balet, L.

Barthelemy, P.

Benisty, H.

S. Combrié, A. De Rossi, Q. V. Tran, and H. Benisty, “GaAs photonic crystal cavity with ultrahigh Q: microwatt nonlinearity at 1.55 μm,” Opt. Lett. 33, 1908–1910 (2008).
[Crossref]

Bulla, D.

Caselli, N.

Chadha, A.

Chen, C. J.

Chuwongin, S.

Clark, A. S.

Collins, M. J.

Colman, P.

S. Combrié, Q. V. Tran, A. De Rossi, C. Husko, and P. Colman, “High quality GaInP nonlinear photonic crystals with minimized nonlinear absorption,” Appl. Phys. Lett. 95, 221108 (2009).
[Crossref]

Combrié, S.

S. Sokolov, J. Lian, E. Yüce, S. Combrié, A. De Rossi, and A. P. Mosk, “Tuning out disorder-induced localization in nanophotonic cavity arrays,” Opt. Express 25, 4598–4606 (2017).
[Crossref]

S. Combrié, Q. V. Tran, A. De Rossi, C. Husko, and P. Colman, “High quality GaInP nonlinear photonic crystals with minimized nonlinear absorption,” Appl. Phys. Lett. 95, 221108 (2009).
[Crossref]

S. Combrié, A. De Rossi, Q. V. Tran, and H. Benisty, “GaAs photonic crystal cavity with ultrahigh Q: microwatt nonlinearity at 1.55 μm,” Opt. Lett. 33, 1908–1910 (2008).
[Crossref]

A. Martin, G. Moille, S. Combrié, G. Lehoucq, T. Debuisschert, J. Lian, S. Sokolov, A. P. Mosk, and A. De Rossi, “Triply-resonant continuous wave parametric source with a microwatt pump,” ArXiv:1602.04833 (2016).

De Rossi, A.

S. Sokolov, J. Lian, E. Yüce, S. Combrié, A. De Rossi, and A. P. Mosk, “Tuning out disorder-induced localization in nanophotonic cavity arrays,” Opt. Express 25, 4598–4606 (2017).
[Crossref]

S. Combrié, Q. V. Tran, A. De Rossi, C. Husko, and P. Colman, “High quality GaInP nonlinear photonic crystals with minimized nonlinear absorption,” Appl. Phys. Lett. 95, 221108 (2009).
[Crossref]

S. Combrié, A. De Rossi, Q. V. Tran, and H. Benisty, “GaAs photonic crystal cavity with ultrahigh Q: microwatt nonlinearity at 1.55 μm,” Opt. Lett. 33, 1908–1910 (2008).
[Crossref]

De Rossi, A. D.

Debuisschert, T.

Eggleton, B. J.

Ek, S.

Englund, D.

Fan, S.

Fano, U.

U. Fano, “Effects of configuration interaction on intensities and phase shifts,” Phys. Rev. 124, 1866–1878 (1961).
[Crossref]

Faraon, A.

Fejer, M. M.

Fiore, A.

Gerardino, A.

Gu, T.

Gurioli, M.

Harris, J. S.

Hatami, F.

K. Rivoire, Z. Lin, F. Hatami, and J. Vučković, “Sum-frequency generation in doubly resonant GaP photonic crystal nanocavities,” Appl. Phys. Lett. 97, 043103 (2010).
[Crossref]

Heuck, M.

Huang, P.

J. Zhang, P. Huang, Y. Li, and H. Wei, “Design and performance of an absolute gas refractometer based on a synthetic pseudo-wavelength method,” Appl. Opt. 52, 3671–3679 (2013).
[Crossref]

Huo, Y.

Husko, C.

S. Combrié, Q. V. Tran, A. De Rossi, C. Husko, and P. Colman, “High quality GaInP nonlinear photonic crystals with minimized nonlinear absorption,” Appl. Phys. Lett. 95, 221108 (2009).
[Crossref]

Intonti, F.

Joannopoulos, J.

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

Johnson, S. G.

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

Katsuo, L.

Kudman, I.

I. Kudman and R. J. Paff, “Thermal expansion of InxGa1−xP alloys,” J. Appl. Phys. 43, 3760–3762 (1972).
[Crossref]

Kuramochi, E.

Kuznetsova, N.

Kwong, D.

Lehoucq, G.

Li, L.

Li, Y.

J. Zhang, P. Huang, Y. Li, and H. Wei, “Design and performance of an absolute gas refractometer based on a synthetic pseudo-wavelength method,” Appl. Opt. 52, 3671–3679 (2013).
[Crossref]

Lian, J.

S. Sokolov, J. Lian, E. Yüce, S. Combrié, A. De Rossi, and A. P. Mosk, “Tuning out disorder-induced localization in nanophotonic cavity arrays,” Opt. Express 25, 4598–4606 (2017).
[Crossref]

Lin, Z.

K. Rivoire, Z. Lin, F. Hatami, and J. Vučković, “Sum-frequency generation in doubly resonant GaP photonic crystal nanocavities,” Appl. Phys. Lett. 97, 043103 (2010).
[Crossref]

Liu, V.

Lo, G.

Luther-Davies, B.

Ma, Z.

Martin, A.

McMillan, J. F.

Meade, R. D.

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

Mitsugi, S.

Moille, G.

Mørk, J.

Mosk, A. P.

S. Sokolov, J. Lian, E. Yüce, S. Combrié, A. De Rossi, and A. P. Mosk, “Tuning out disorder-induced localization in nanophotonic cavity arrays,” Opt. Express 25, 4598–4606 (2017).
[Crossref]

Navr, K.

K. Navr, “Thermal oxidation of gallium arsenide,” Czech. J. Phys. B 18, 266–274 (1968).
[Crossref]

Notomi, M.

M. Notomi and H. Taniyama, “On-demand ultrahigh-Q cavity formation and photon pinning via dynamic waveguide tuning,” Opt. Express 16, 18657–18666 (2008).
[Crossref]

Paff, R. J.

I. Kudman and R. J. Paff, “Thermal expansion of InxGa1−xP alloys,” J. Appl. Phys. 43, 3760–3762 (1972).
[Crossref]

Palushani, E.

Pan, J.

Petroff, P.

Peucheret, C.

Povinelli, M. L.

Riboli, F.

Rivoire, K.

K. Rivoire, Z. Lin, F. Hatami, and J. Vučković, “Sum-frequency generation in doubly resonant GaP photonic crystal nanocavities,” Appl. Phys. Lett. 97, 043103 (2010).
[Crossref]

Rossi, A. D.

Sandhu, S.

Scaccabarozzi, L.

Seo, J. H.

Shinya, A.

Shuai, Y. C.

Sokolov, S.

S. Sokolov, J. Lian, E. Yüce, S. Combrié, A. De Rossi, and A. P. Mosk, “Tuning out disorder-induced localization in nanophotonic cavity arrays,” Opt. Express 25, 4598–4606 (2017).
[Crossref]

Stoltz, N.

Tanabe, T.

Taniyama, H.

M. Notomi and H. Taniyama, “On-demand ultrahigh-Q cavity formation and photon pinning via dynamic waveguide tuning,” Opt. Express 16, 18657–18666 (2008).
[Crossref]

Timp, R.

Tran, Q. V.

S. Combrié, Q. V. Tran, A. De Rossi, C. Husko, and P. Colman, “High quality GaInP nonlinear photonic crystals with minimized nonlinear absorption,” Appl. Phys. Lett. 95, 221108 (2009).
[Crossref]

S. Combrié, A. De Rossi, Q. V. Tran, and H. Benisty, “GaAs photonic crystal cavity with ultrahigh Q: microwatt nonlinearity at 1.55 μm,” Opt. Lett. 33, 1908–1910 (2008).
[Crossref]

Trøst, P.

Vignolini, S.

Vuckovic, J.

K. Rivoire, Z. Lin, F. Hatami, and J. Vučković, “Sum-frequency generation in doubly resonant GaP photonic crystal nanocavities,” Appl. Phys. Lett. 97, 043103 (2010).
[Crossref]

Vukovic, D.

Vynck, K.

Wang, K. X.

Watanabe, T.

Wei, H.

J. Zhang, P. Huang, Y. Li, and H. Wei, “Design and performance of an absolute gas refractometer based on a synthetic pseudo-wavelength method,” Appl. Opt. 52, 3671–3679 (2013).
[Crossref]

Wiersma, D.

Winn, J. N.

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

Wong, C. W.

Xavier, S.

Xiong, C.

Yamanaka, K.

Yang, H.

Yu, M.

Yu, Y.

Yüce, E.

S. Sokolov, J. Lian, E. Yüce, S. Combrié, A. De Rossi, and A. P. Mosk, “Tuning out disorder-induced localization in nanophotonic cavity arrays,” Opt. Express 25, 4598–4606 (2017).
[Crossref]

Yvind, K.

Zhang, J.

J. Zhang, P. Huang, Y. Li, and H. Wei, “Design and performance of an absolute gas refractometer based on a synthetic pseudo-wavelength method,” Appl. Opt. 52, 3671–3679 (2013).
[Crossref]

Zhao, D.

Zheng, J.

Zhou, W.

Appl. Opt. (1)

J. Zhang, P. Huang, Y. Li, and H. Wei, “Design and performance of an absolute gas refractometer based on a synthetic pseudo-wavelength method,” Appl. Opt. 52, 3671–3679 (2013).
[Crossref]

Appl. Phys. Lett. (6)

K. Rivoire, Z. Lin, F. Hatami, and J. Vučković, “Sum-frequency generation in doubly resonant GaP photonic crystal nanocavities,” Appl. Phys. Lett. 97, 043103 (2010).
[Crossref]

S. Combrié, Q. V. Tran, A. De Rossi, C. Husko, and P. Colman, “High quality GaInP nonlinear photonic crystals with minimized nonlinear absorption,” Appl. Phys. Lett. 95, 221108 (2009).
[Crossref]

Czech. J. Phys. B (1)

K. Navr, “Thermal oxidation of gallium arsenide,” Czech. J. Phys. B 18, 266–274 (1968).
[Crossref]

J. Appl. Phys. (2)

S. Adachi, “Lattice thermal conductivity of group-IV and III-V semiconductor alloys,” J. Appl. Phys. 102, 063502 (2007).
[Crossref]

I. Kudman and R. J. Paff, “Thermal expansion of InxGa1−xP alloys,” J. Appl. Phys. 43, 3760–3762 (1972).
[Crossref]

Nat. Mater. (1)

Opt. Express (5)

S. Sokolov, J. Lian, E. Yüce, S. Combrié, A. De Rossi, and A. P. Mosk, “Tuning out disorder-induced localization in nanophotonic cavity arrays,” Opt. Express 25, 4598–4606 (2017).
[Crossref]

M. Notomi and H. Taniyama, “On-demand ultrahigh-Q cavity formation and photon pinning via dynamic waveguide tuning,” Opt. Express 16, 18657–18666 (2008).
[Crossref]

Opt. Lett. (2)

S. Combrié, A. De Rossi, Q. V. Tran, and H. Benisty, “GaAs photonic crystal cavity with ultrahigh Q: microwatt nonlinearity at 1.55 μm,” Opt. Lett. 33, 1908–1910 (2008).
[Crossref]

Phys. Rev. (1)

U. Fano, “Effects of configuration interaction on intensities and phase shifts,” Phys. Rev. 124, 1866–1878 (1961).
[Crossref]

Prog. Quantum Electron. (1)

Other (2)

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

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Fig. 1. Experimental setup. Transmission through the sample is measured. The sample temperature is locked to

\pm 0.001 ° C

using a temperature controller. Inset shows the cavity structure. Holes are represented with circles. Different colors correspond to different hole shifts.

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Fig. 2. Transmission spectrum. Transmission spectra of the sample at 48.7°C. Dashed line represents Fano lineshape fit.

Download Full Size | PPT Slide | PDF

Fig. 3. Transmission spectra. Patched graph showing all transmission spectra collected in this experiment. The color of the lines changes from black to red to emphasize the temperature difference.

Download Full Size | PPT Slide | PDF

Fig. 4. Resonance wavelength versus temperature of the sample. The red line represents a line fit of the experimental data. The error for temperature is smaller than the datapoint size.

Download Full Size | PPT Slide | PDF

Equations (4)

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\frac{Δ λ}{λ} = \frac{Δ λ_{n}}{λ} + \frac{Δ λ_{a}}{λ} .

\frac{Δ λ_{n}}{λ} = \frac{Δ n}{n} \cdot \frac{\int_{mebrane} ϵ {| E (r) |}^{2} d r}{\int_{all} ϵ {| E (r) |}^{2} d r} = \frac{1}{n} \frac{d n}{d T} Δ T E_{m},

\frac{Δ λ_{a}}{λ} = \frac{Δ a}{a} = α_{T} Δ T .

\frac{d n}{d T} = \frac{n}{λ E_{m}} (\frac{d λ}{d T} - α_{T} λ) .