Abstract

We report the experimental observation and theoretical analysis of thermo-optic effects in high-Q on-chip lithium-niobate (LN) microdisks. We find that the resonance transmission dip of a LN microdisk was broadened or compressed when the wavelength of the input laser was tuned to the shorter or the longer wavelengths at a wavelength sweeping speed of 4.8 pm/s. When the laser wavelength was shifted with a fast rate (4.8 nm/s), the tendencies of the change in the shape of the transmission dip reverse completely. An oscillatory behavior in the transmission spectra was also observed when the laser wavelength was slowly shifted to the shorter wavelengths. The experimental results were successfully explained by using a theoretical mode considering for a fast thermo-optic effect of LN crystal and a slow heat dissipation process from the LN microdisk to the substrate and surroundings that leads to the reduction of the resonance wavelength through the deformation of the LN microdisk.

© 2016 Optical Society of America

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2015 (7)

M. R. Foreman, J. D. Swaim, and F. Vollmer, “Whispering gallery mode sensors,” Adv. Opt. Photonics 7(2), 168–240 (2015).
[Crossref] [PubMed]

W. Liang, D. Eliyahu, V. S. Ilchenko, A. A. Savchenkov, A. B. Matsko, D. Seidel, and L. Maleki, “High spectral purity Kerr frequency comb radio frequency photonic oscillator,” Nat. Commun. 6, 7957 (2015).
[Crossref] [PubMed]

Q. Wang, Y. Wang, Z. Guo, J. Wu, and Y. Wu, “Thermal oscillatory behavior analysis and dynamic modulation of refractive index in microspherical resonator,” Opt. Lett. 40(7), 1607–1610 (2015).
[Crossref] [PubMed]

S. Diallo, G. Lin, and Y. K. Chembo, “Giant thermo-optical relaxation oscillations in millimeter-size whispering gallery mode disk resonators,” Opt. Lett. 40(16), 3834–3837 (2015).
[Crossref] [PubMed]

F. Bo, J. Wang, J. Cui, Ş. K. Özdemir, Y. Kong, G. Zhang, J. Xu, and L. Yang, “Lithium-niobate–silica hybrid whispering-gallery-mode resonators,” Adv. Mater. 27(48), 8075–8081 (2015).
[Crossref] [PubMed]

J. Lin, Y. Xu, Z. Fang, M. Wang, J. Song, N. Wang, L. Qiao, W. Fang, and Y. Cheng, “Fabrication of high-Q lithium niobate microresonators using femtosecond laser micromachining,” Sci. Rep. 5, 8072 (2015).
[Crossref] [PubMed]

J. Wang, F. Bo, S. Wan, W. Li, F. Gao, J. Li, G. Zhang, and J. Xu, “High-Q lithium niobate microdisk resonators on a chip for efficient electro-optic modulation,” Opt. Express 23(18), 23072–23078 (2015).
[Crossref] [PubMed]

2014 (7)

C. Wang, M. J. Burek, Z. Lin, H. A. Atikian, V. Venkataraman, I. C. Huang, P. Stark, and M. Lončar, “Integrated high quality factor lithium niobate microdisk resonators,” Opt. Express 22(25), 30924–30933 (2014).
[Crossref] [PubMed]

J. Li, S. Diddams, and K. J. Vahala, “Pump frequency noise coupling into a microcavity by thermo-optic locking,” Opt. Express 22(12), 14559–14567 (2014).
[Crossref] [PubMed]

B. B. Li, W. R. Clements, X. C. Yu, K. Shi, Q. Gong, and Y. F. Xiao, “Single nanoparticle detection using split-mode microcavity Raman lasers,” Proc. Natl. Acad. Sci. U.S.A. 111(41), 14657–14662 (2014).
[Crossref] [PubMed]

Ş. K. Özdemir, J. Zhu, X. Yang, B. Peng, H. Yilmaz, L. He, F. Monifi, S. H. Huang, G. L. Long, and L. Yang, “Highly sensitive detection of nanoparticles with a self-referenced and self-heterodyned whispering-gallery Raman microlaser,” Proc. Natl. Acad. Sci. U.S.A. 111(37), E3836–E3844 (2014).
[Crossref] [PubMed]

M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, “Cavity optomechanics,” Rev. Mod. Phys. 86(4), 1391–1452 (2014).
[Crossref]

D. Farnesi, A. Barucci, G. C. Righini, S. Berneschi, S. Soria, and G. Nunzi Conti, “Optical frequency conversion in silica-whispering-gallery-mode microspherical resonators,” Phys. Rev. Lett. 112(9), 093901 (2014).
[Crossref] [PubMed]

P. S. Kuo, J. Bravo-Abad, and G. S. Solomon, “Second-harmonic generation using 4-quasi-phasematching in a GaAs whispering-gallery-mode microcavity,” Nat. Commun. 5, 3109 (2014).
[Crossref] [PubMed]

2013 (2)

M. Agarwal and I. Teraoka, “All-photonic, dynamic control of optical path length in a silica sphere resonator,” Opt. Lett. 38(15), 2640–2643 (2013).
[Crossref] [PubMed]

L. He, Ş. K. Özdemir, and L. Yang, “Whispering gallery microcavity lasers,” Laser Photonics Rev. 7(1), 60–82 (2013).
[Crossref]

2012 (1)

2011 (2)

T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, “Microresonator-based optical frequency combs,” Science 332(6029), 555–559 (2011).
[Crossref] [PubMed]

T. Lu, H. Lee, T. Chen, S. Herchak, J. H. Kim, S. E. Fraser, R. C. Flagan, and K. Vahala, “High sensitivity nanoparticle detection using optical microcavities,” Proc. Natl. Acad. Sci. U.S.A. 108(15), 5976–5979 (2011).
[Crossref] [PubMed]

2009 (3)

I. S. Grudinin, A. B. Matsko, and L. Maleki, “Brillouin lasing with a CaF2 whispering gallery mode resonator,” Phys. Rev. Lett. 102(4), 043902 (2009).
[Crossref] [PubMed]

L. He, Y. F. Xiao, J. Zhu, Ş. K. Özdemir, and L. Yang, “Oscillatory thermal dynamics in high-Q PDMS-coated silica toroidal microresonators,” Opt. Express 17(12), 9571–9581 (2009).
[Crossref] [PubMed]

C. H. Dong, L. He, Y. F. Xiao, V. R. Gaddam, Ş. K. Özdemir, Z. F. Han, G. C. Guo, and L. Yang, “Fabrication of high-Q polydimethylsiloxane optical microspheres for thermal sensing,” Appl. Phys. Lett. 94(23), 231119 (2009).
[Crossref]

2008 (2)

2007 (3)

T. Carmon and K. J. Vahala, “Visible continuous emission from a silica microphotonic device by third-harmonic generation,” Nat. Phys. 3(6), 430–435 (2007).
[Crossref]

Y. S. Park and H. Wang, “Regenerative pulsation in silica microspheres,” Opt. Lett. 32(21), 3104–3106 (2007).
[Crossref] [PubMed]

P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, “Optical frequency comb generation from a monolithic microresonator,” Nature 450(7173), 1214–1217 (2007).
[Crossref] [PubMed]

2006 (1)

2005 (2)

A. E. Fomin, M. L. Gorodetsky, I. S. Grudinin, and V. S. Ilchenko, “Nonstationary nonlinear effects in optical microspheres,” J. Opt. Soc. Am. B 22(2), 459–465 (2005).
[Crossref]

L. Moretti, M. Iodice, F. G. Della Corte, and I. Rendina, “Temperature dependence of the thermo-optic coefficient of lithium niobate, from 300 to 515 K in the visible and infrared regions,” J. Appl. Phys. 98(3), 036101 (2005).
[Crossref]

2004 (3)

D. Armani, B. Min, A. Martin, and K. J. Vahala, “Electrical thermo-optic tuning of ultrahigh-Q microtoroid resonators,” Appl. Phys. Lett. 85(22), 5439–5441 (2004).
[Crossref]

T. Carmon, L. Yang, and K. Vahala, “Dynamical thermal behavior and thermal self-stability of microcavities,” Opt. Express 12(20), 4742–4750 (2004).
[Crossref] [PubMed]

A. A. Savchenkov, V. S. Ilchenko, A. B. Matsko, and L. Maleki, “Kilohertz optical resonances in dielectric crystal cavities,” Phys. Rev. A 70(5), 051804 (2004).
[Crossref]

1992 (1)

V. Ilchenko and M. Gorodetskii, “Thermal nonlinear effects in optical whispering gallery microresonators,” Laser Phys. 2(6), 1004–1009 (1992).

Agarwal, M.

Arcizet, O.

P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, “Optical frequency comb generation from a monolithic microresonator,” Nature 450(7173), 1214–1217 (2007).
[Crossref] [PubMed]

Armani, D.

D. Armani, B. Min, A. Martin, and K. J. Vahala, “Electrical thermo-optic tuning of ultrahigh-Q microtoroid resonators,” Appl. Phys. Lett. 85(22), 5439–5441 (2004).
[Crossref]

Aspelmeyer, M.

M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, “Cavity optomechanics,” Rev. Mod. Phys. 86(4), 1391–1452 (2014).
[Crossref]

Atikian, H. A.

Baker, C.

Barucci, A.

D. Farnesi, A. Barucci, G. C. Righini, S. Berneschi, S. Soria, and G. Nunzi Conti, “Optical frequency conversion in silica-whispering-gallery-mode microspherical resonators,” Phys. Rev. Lett. 112(9), 093901 (2014).
[Crossref] [PubMed]

Berneschi, S.

D. Farnesi, A. Barucci, G. C. Righini, S. Berneschi, S. Soria, and G. Nunzi Conti, “Optical frequency conversion in silica-whispering-gallery-mode microspherical resonators,” Phys. Rev. Lett. 112(9), 093901 (2014).
[Crossref] [PubMed]

Bo, F.

F. Bo, J. Wang, J. Cui, Ş. K. Özdemir, Y. Kong, G. Zhang, J. Xu, and L. Yang, “Lithium-niobate–silica hybrid whispering-gallery-mode resonators,” Adv. Mater. 27(48), 8075–8081 (2015).
[Crossref] [PubMed]

J. Wang, F. Bo, S. Wan, W. Li, F. Gao, J. Li, G. Zhang, and J. Xu, “High-Q lithium niobate microdisk resonators on a chip for efficient electro-optic modulation,” Opt. Express 23(18), 23072–23078 (2015).
[Crossref] [PubMed]

Borselli, M.

Bravo-Abad, J.

P. S. Kuo, J. Bravo-Abad, and G. S. Solomon, “Second-harmonic generation using 4-quasi-phasematching in a GaAs whispering-gallery-mode microcavity,” Nat. Commun. 5, 3109 (2014).
[Crossref] [PubMed]

Burek, M. J.

Carmon, T.

T. Carmon and K. J. Vahala, “Visible continuous emission from a silica microphotonic device by third-harmonic generation,” Nat. Phys. 3(6), 430–435 (2007).
[Crossref]

T. Carmon, L. Yang, and K. Vahala, “Dynamical thermal behavior and thermal self-stability of microcavities,” Opt. Express 12(20), 4742–4750 (2004).
[Crossref] [PubMed]

Chembo, Y. K.

Chen, T.

T. Lu, H. Lee, T. Chen, S. Herchak, J. H. Kim, S. E. Fraser, R. C. Flagan, and K. Vahala, “High sensitivity nanoparticle detection using optical microcavities,” Proc. Natl. Acad. Sci. U.S.A. 108(15), 5976–5979 (2011).
[Crossref] [PubMed]

Cheng, Y.

J. Lin, Y. Xu, Z. Fang, M. Wang, J. Song, N. Wang, L. Qiao, W. Fang, and Y. Cheng, “Fabrication of high-Q lithium niobate microresonators using femtosecond laser micromachining,” Sci. Rep. 5, 8072 (2015).
[Crossref] [PubMed]

Chipouline, A.

Clements, W. R.

B. B. Li, W. R. Clements, X. C. Yu, K. Shi, Q. Gong, and Y. F. Xiao, “Single nanoparticle detection using split-mode microcavity Raman lasers,” Proc. Natl. Acad. Sci. U.S.A. 111(41), 14657–14662 (2014).
[Crossref] [PubMed]

Cui, J.

F. Bo, J. Wang, J. Cui, Ş. K. Özdemir, Y. Kong, G. Zhang, J. Xu, and L. Yang, “Lithium-niobate–silica hybrid whispering-gallery-mode resonators,” Adv. Mater. 27(48), 8075–8081 (2015).
[Crossref] [PubMed]

Del’Haye, P.

P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, “Optical frequency comb generation from a monolithic microresonator,” Nature 450(7173), 1214–1217 (2007).
[Crossref] [PubMed]

Della Corte, F. G.

L. Moretti, M. Iodice, F. G. Della Corte, and I. Rendina, “Temperature dependence of the thermo-optic coefficient of lithium niobate, from 300 to 515 K in the visible and infrared regions,” J. Appl. Phys. 98(3), 036101 (2005).
[Crossref]

Deych, L.

Diallo, S.

Diddams, S.

Diddams, S. A.

T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, “Microresonator-based optical frequency combs,” Science 332(6029), 555–559 (2011).
[Crossref] [PubMed]

Dong, C. H.

C. H. Dong, L. He, Y. F. Xiao, V. R. Gaddam, Ş. K. Özdemir, Z. F. Han, G. C. Guo, and L. Yang, “Fabrication of high-Q polydimethylsiloxane optical microspheres for thermal sensing,” Appl. Phys. Lett. 94(23), 231119 (2009).
[Crossref]

Ducci, S.

Egorov, O.

Eliyahu, D.

W. Liang, D. Eliyahu, V. S. Ilchenko, A. A. Savchenkov, A. B. Matsko, D. Seidel, and L. Maleki, “High spectral purity Kerr frequency comb radio frequency photonic oscillator,” Nat. Commun. 6, 7957 (2015).
[Crossref] [PubMed]

Fang, W.

J. Lin, Y. Xu, Z. Fang, M. Wang, J. Song, N. Wang, L. Qiao, W. Fang, and Y. Cheng, “Fabrication of high-Q lithium niobate microresonators using femtosecond laser micromachining,” Sci. Rep. 5, 8072 (2015).
[Crossref] [PubMed]

Fang, Z.

J. Lin, Y. Xu, Z. Fang, M. Wang, J. Song, N. Wang, L. Qiao, W. Fang, and Y. Cheng, “Fabrication of high-Q lithium niobate microresonators using femtosecond laser micromachining,” Sci. Rep. 5, 8072 (2015).
[Crossref] [PubMed]

Farnesi, D.

D. Farnesi, A. Barucci, G. C. Righini, S. Berneschi, S. Soria, and G. Nunzi Conti, “Optical frequency conversion in silica-whispering-gallery-mode microspherical resonators,” Phys. Rev. Lett. 112(9), 093901 (2014).
[Crossref] [PubMed]

Favero, I.

Flagan, R. C.

T. Lu, H. Lee, T. Chen, S. Herchak, J. H. Kim, S. E. Fraser, R. C. Flagan, and K. Vahala, “High sensitivity nanoparticle detection using optical microcavities,” Proc. Natl. Acad. Sci. U.S.A. 108(15), 5976–5979 (2011).
[Crossref] [PubMed]

Fomin, A. E.

Foreman, M. R.

M. R. Foreman, J. D. Swaim, and F. Vollmer, “Whispering gallery mode sensors,” Adv. Opt. Photonics 7(2), 168–240 (2015).
[Crossref] [PubMed]

Fraser, S. E.

T. Lu, H. Lee, T. Chen, S. Herchak, J. H. Kim, S. E. Fraser, R. C. Flagan, and K. Vahala, “High sensitivity nanoparticle detection using optical microcavities,” Proc. Natl. Acad. Sci. U.S.A. 108(15), 5976–5979 (2011).
[Crossref] [PubMed]

Gaddam, V. R.

C. H. Dong, L. He, Y. F. Xiao, V. R. Gaddam, Ş. K. Özdemir, Z. F. Han, G. C. Guo, and L. Yang, “Fabrication of high-Q polydimethylsiloxane optical microspheres for thermal sensing,” Appl. Phys. Lett. 94(23), 231119 (2009).
[Crossref]

Gao, F.

Gong, Q.

B. B. Li, W. R. Clements, X. C. Yu, K. Shi, Q. Gong, and Y. F. Xiao, “Single nanoparticle detection using split-mode microcavity Raman lasers,” Proc. Natl. Acad. Sci. U.S.A. 111(41), 14657–14662 (2014).
[Crossref] [PubMed]

Gorodetskii, M.

V. Ilchenko and M. Gorodetskii, “Thermal nonlinear effects in optical whispering gallery microresonators,” Laser Phys. 2(6), 1004–1009 (1992).

Gorodetsky, M. L.

Grudinin, I. S.

I. S. Grudinin, A. B. Matsko, and L. Maleki, “Brillouin lasing with a CaF2 whispering gallery mode resonator,” Phys. Rev. Lett. 102(4), 043902 (2009).
[Crossref] [PubMed]

A. E. Fomin, M. L. Gorodetsky, I. S. Grudinin, and V. S. Ilchenko, “Nonstationary nonlinear effects in optical microspheres,” J. Opt. Soc. Am. B 22(2), 459–465 (2005).
[Crossref]

Guo, G. C.

C. H. Dong, L. He, Y. F. Xiao, V. R. Gaddam, Ş. K. Özdemir, Z. F. Han, G. C. Guo, and L. Yang, “Fabrication of high-Q polydimethylsiloxane optical microspheres for thermal sensing,” Appl. Phys. Lett. 94(23), 231119 (2009).
[Crossref]

Guo, Z.

Han, Z. F.

C. H. Dong, L. He, Y. F. Xiao, V. R. Gaddam, Ş. K. Özdemir, Z. F. Han, G. C. Guo, and L. Yang, “Fabrication of high-Q polydimethylsiloxane optical microspheres for thermal sensing,” Appl. Phys. Lett. 94(23), 231119 (2009).
[Crossref]

He, L.

Ş. K. Özdemir, J. Zhu, X. Yang, B. Peng, H. Yilmaz, L. He, F. Monifi, S. H. Huang, G. L. Long, and L. Yang, “Highly sensitive detection of nanoparticles with a self-referenced and self-heterodyned whispering-gallery Raman microlaser,” Proc. Natl. Acad. Sci. U.S.A. 111(37), E3836–E3844 (2014).
[Crossref] [PubMed]

L. He, Ş. K. Özdemir, and L. Yang, “Whispering gallery microcavity lasers,” Laser Photonics Rev. 7(1), 60–82 (2013).
[Crossref]

C. H. Dong, L. He, Y. F. Xiao, V. R. Gaddam, Ş. K. Özdemir, Z. F. Han, G. C. Guo, and L. Yang, “Fabrication of high-Q polydimethylsiloxane optical microspheres for thermal sensing,” Appl. Phys. Lett. 94(23), 231119 (2009).
[Crossref]

L. He, Y. F. Xiao, J. Zhu, Ş. K. Özdemir, and L. Yang, “Oscillatory thermal dynamics in high-Q PDMS-coated silica toroidal microresonators,” Opt. Express 17(12), 9571–9581 (2009).
[Crossref] [PubMed]

Herchak, S.

T. Lu, H. Lee, T. Chen, S. Herchak, J. H. Kim, S. E. Fraser, R. C. Flagan, and K. Vahala, “High sensitivity nanoparticle detection using optical microcavities,” Proc. Natl. Acad. Sci. U.S.A. 108(15), 5976–5979 (2011).
[Crossref] [PubMed]

Holzwarth, R.

T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, “Microresonator-based optical frequency combs,” Science 332(6029), 555–559 (2011).
[Crossref] [PubMed]

P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, “Optical frequency comb generation from a monolithic microresonator,” Nature 450(7173), 1214–1217 (2007).
[Crossref] [PubMed]

Huang, I. C.

Huang, S. H.

Ş. K. Özdemir, J. Zhu, X. Yang, B. Peng, H. Yilmaz, L. He, F. Monifi, S. H. Huang, G. L. Long, and L. Yang, “Highly sensitive detection of nanoparticles with a self-referenced and self-heterodyned whispering-gallery Raman microlaser,” Proc. Natl. Acad. Sci. U.S.A. 111(37), E3836–E3844 (2014).
[Crossref] [PubMed]

Ilchenko, V.

V. Ilchenko and M. Gorodetskii, “Thermal nonlinear effects in optical whispering gallery microresonators,” Laser Phys. 2(6), 1004–1009 (1992).

Ilchenko, V. S.

W. Liang, D. Eliyahu, V. S. Ilchenko, A. A. Savchenkov, A. B. Matsko, D. Seidel, and L. Maleki, “High spectral purity Kerr frequency comb radio frequency photonic oscillator,” Nat. Commun. 6, 7957 (2015).
[Crossref] [PubMed]

A. E. Fomin, M. L. Gorodetsky, I. S. Grudinin, and V. S. Ilchenko, “Nonstationary nonlinear effects in optical microspheres,” J. Opt. Soc. Am. B 22(2), 459–465 (2005).
[Crossref]

A. A. Savchenkov, V. S. Ilchenko, A. B. Matsko, and L. Maleki, “Kilohertz optical resonances in dielectric crystal cavities,” Phys. Rev. A 70(5), 051804 (2004).
[Crossref]

Iodice, M.

L. Moretti, M. Iodice, F. G. Della Corte, and I. Rendina, “Temperature dependence of the thermo-optic coefficient of lithium niobate, from 300 to 515 K in the visible and infrared regions,” J. Appl. Phys. 98(3), 036101 (2005).
[Crossref]

Johnson, T. J.

Kim, J. H.

T. Lu, H. Lee, T. Chen, S. Herchak, J. H. Kim, S. E. Fraser, R. C. Flagan, and K. Vahala, “High sensitivity nanoparticle detection using optical microcavities,” Proc. Natl. Acad. Sci. U.S.A. 108(15), 5976–5979 (2011).
[Crossref] [PubMed]

Kippenberg, T. J.

M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, “Cavity optomechanics,” Rev. Mod. Phys. 86(4), 1391–1452 (2014).
[Crossref]

T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, “Microresonator-based optical frequency combs,” Science 332(6029), 555–559 (2011).
[Crossref] [PubMed]

T. J. Kippenberg and K. J. Vahala, “Cavity optomechanics: back-action at the mesoscale,” Science 321(5893), 1172–1176 (2008).
[Crossref] [PubMed]

P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, “Optical frequency comb generation from a monolithic microresonator,” Nature 450(7173), 1214–1217 (2007).
[Crossref] [PubMed]

Kong, Y.

F. Bo, J. Wang, J. Cui, Ş. K. Özdemir, Y. Kong, G. Zhang, J. Xu, and L. Yang, “Lithium-niobate–silica hybrid whispering-gallery-mode resonators,” Adv. Mater. 27(48), 8075–8081 (2015).
[Crossref] [PubMed]

Kuo, P. S.

P. S. Kuo, J. Bravo-Abad, and G. S. Solomon, “Second-harmonic generation using 4-quasi-phasematching in a GaAs whispering-gallery-mode microcavity,” Nat. Commun. 5, 3109 (2014).
[Crossref] [PubMed]

Lederer, F.

Lee, H.

T. Lu, H. Lee, T. Chen, S. Herchak, J. H. Kim, S. E. Fraser, R. C. Flagan, and K. Vahala, “High sensitivity nanoparticle detection using optical microcavities,” Proc. Natl. Acad. Sci. U.S.A. 108(15), 5976–5979 (2011).
[Crossref] [PubMed]

Leo, G.

Li, B. B.

B. B. Li, W. R. Clements, X. C. Yu, K. Shi, Q. Gong, and Y. F. Xiao, “Single nanoparticle detection using split-mode microcavity Raman lasers,” Proc. Natl. Acad. Sci. U.S.A. 111(41), 14657–14662 (2014).
[Crossref] [PubMed]

Li, J.

Li, W.

Liang, W.

W. Liang, D. Eliyahu, V. S. Ilchenko, A. A. Savchenkov, A. B. Matsko, D. Seidel, and L. Maleki, “High spectral purity Kerr frequency comb radio frequency photonic oscillator,” Nat. Commun. 6, 7957 (2015).
[Crossref] [PubMed]

Lin, G.

Lin, J.

J. Lin, Y. Xu, Z. Fang, M. Wang, J. Song, N. Wang, L. Qiao, W. Fang, and Y. Cheng, “Fabrication of high-Q lithium niobate microresonators using femtosecond laser micromachining,” Sci. Rep. 5, 8072 (2015).
[Crossref] [PubMed]

Lin, Z.

Loncar, M.

Long, G. L.

Ş. K. Özdemir, J. Zhu, X. Yang, B. Peng, H. Yilmaz, L. He, F. Monifi, S. H. Huang, G. L. Long, and L. Yang, “Highly sensitive detection of nanoparticles with a self-referenced and self-heterodyned whispering-gallery Raman microlaser,” Proc. Natl. Acad. Sci. U.S.A. 111(37), E3836–E3844 (2014).
[Crossref] [PubMed]

Lu, T.

T. Lu, H. Lee, T. Chen, S. Herchak, J. H. Kim, S. E. Fraser, R. C. Flagan, and K. Vahala, “High sensitivity nanoparticle detection using optical microcavities,” Proc. Natl. Acad. Sci. U.S.A. 108(15), 5976–5979 (2011).
[Crossref] [PubMed]

Maleki, L.

W. Liang, D. Eliyahu, V. S. Ilchenko, A. A. Savchenkov, A. B. Matsko, D. Seidel, and L. Maleki, “High spectral purity Kerr frequency comb radio frequency photonic oscillator,” Nat. Commun. 6, 7957 (2015).
[Crossref] [PubMed]

I. S. Grudinin, A. B. Matsko, and L. Maleki, “Brillouin lasing with a CaF2 whispering gallery mode resonator,” Phys. Rev. Lett. 102(4), 043902 (2009).
[Crossref] [PubMed]

A. A. Savchenkov, V. S. Ilchenko, A. B. Matsko, and L. Maleki, “Kilohertz optical resonances in dielectric crystal cavities,” Phys. Rev. A 70(5), 051804 (2004).
[Crossref]

Marquardt, F.

M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, “Cavity optomechanics,” Rev. Mod. Phys. 86(4), 1391–1452 (2014).
[Crossref]

Martin, A.

D. Armani, B. Min, A. Martin, and K. J. Vahala, “Electrical thermo-optic tuning of ultrahigh-Q microtoroid resonators,” Appl. Phys. Lett. 85(22), 5439–5441 (2004).
[Crossref]

Matsko, A. B.

W. Liang, D. Eliyahu, V. S. Ilchenko, A. A. Savchenkov, A. B. Matsko, D. Seidel, and L. Maleki, “High spectral purity Kerr frequency comb radio frequency photonic oscillator,” Nat. Commun. 6, 7957 (2015).
[Crossref] [PubMed]

I. S. Grudinin, A. B. Matsko, and L. Maleki, “Brillouin lasing with a CaF2 whispering gallery mode resonator,” Phys. Rev. Lett. 102(4), 043902 (2009).
[Crossref] [PubMed]

A. A. Savchenkov, V. S. Ilchenko, A. B. Matsko, and L. Maleki, “Kilohertz optical resonances in dielectric crystal cavities,” Phys. Rev. A 70(5), 051804 (2004).
[Crossref]

Min, B.

D. Armani, B. Min, A. Martin, and K. J. Vahala, “Electrical thermo-optic tuning of ultrahigh-Q microtoroid resonators,” Appl. Phys. Lett. 85(22), 5439–5441 (2004).
[Crossref]

Monifi, F.

Ş. K. Özdemir, J. Zhu, X. Yang, B. Peng, H. Yilmaz, L. He, F. Monifi, S. H. Huang, G. L. Long, and L. Yang, “Highly sensitive detection of nanoparticles with a self-referenced and self-heterodyned whispering-gallery Raman microlaser,” Proc. Natl. Acad. Sci. U.S.A. 111(37), E3836–E3844 (2014).
[Crossref] [PubMed]

Moretti, L.

L. Moretti, M. Iodice, F. G. Della Corte, and I. Rendina, “Temperature dependence of the thermo-optic coefficient of lithium niobate, from 300 to 515 K in the visible and infrared regions,” J. Appl. Phys. 98(3), 036101 (2005).
[Crossref]

Nunzi Conti, G.

D. Farnesi, A. Barucci, G. C. Righini, S. Berneschi, S. Soria, and G. Nunzi Conti, “Optical frequency conversion in silica-whispering-gallery-mode microspherical resonators,” Phys. Rev. Lett. 112(9), 093901 (2014).
[Crossref] [PubMed]

Özdemir, S. K.

F. Bo, J. Wang, J. Cui, Ş. K. Özdemir, Y. Kong, G. Zhang, J. Xu, and L. Yang, “Lithium-niobate–silica hybrid whispering-gallery-mode resonators,” Adv. Mater. 27(48), 8075–8081 (2015).
[Crossref] [PubMed]

Ş. K. Özdemir, J. Zhu, X. Yang, B. Peng, H. Yilmaz, L. He, F. Monifi, S. H. Huang, G. L. Long, and L. Yang, “Highly sensitive detection of nanoparticles with a self-referenced and self-heterodyned whispering-gallery Raman microlaser,” Proc. Natl. Acad. Sci. U.S.A. 111(37), E3836–E3844 (2014).
[Crossref] [PubMed]

L. He, Ş. K. Özdemir, and L. Yang, “Whispering gallery microcavity lasers,” Laser Photonics Rev. 7(1), 60–82 (2013).
[Crossref]

C. H. Dong, L. He, Y. F. Xiao, V. R. Gaddam, Ş. K. Özdemir, Z. F. Han, G. C. Guo, and L. Yang, “Fabrication of high-Q polydimethylsiloxane optical microspheres for thermal sensing,” Appl. Phys. Lett. 94(23), 231119 (2009).
[Crossref]

L. He, Y. F. Xiao, J. Zhu, Ş. K. Özdemir, and L. Yang, “Oscillatory thermal dynamics in high-Q PDMS-coated silica toroidal microresonators,” Opt. Express 17(12), 9571–9581 (2009).
[Crossref] [PubMed]

Painter, O.

Park, Y. S.

Parrain, D.

Peng, B.

Ş. K. Özdemir, J. Zhu, X. Yang, B. Peng, H. Yilmaz, L. He, F. Monifi, S. H. Huang, G. L. Long, and L. Yang, “Highly sensitive detection of nanoparticles with a self-referenced and self-heterodyned whispering-gallery Raman microlaser,” Proc. Natl. Acad. Sci. U.S.A. 111(37), E3836–E3844 (2014).
[Crossref] [PubMed]

Pertsch, T.

Qiao, L.

J. Lin, Y. Xu, Z. Fang, M. Wang, J. Song, N. Wang, L. Qiao, W. Fang, and Y. Cheng, “Fabrication of high-Q lithium niobate microresonators using femtosecond laser micromachining,” Sci. Rep. 5, 8072 (2015).
[Crossref] [PubMed]

Rendina, I.

L. Moretti, M. Iodice, F. G. Della Corte, and I. Rendina, “Temperature dependence of the thermo-optic coefficient of lithium niobate, from 300 to 515 K in the visible and infrared regions,” J. Appl. Phys. 98(3), 036101 (2005).
[Crossref]

Righini, G. C.

D. Farnesi, A. Barucci, G. C. Righini, S. Berneschi, S. Soria, and G. Nunzi Conti, “Optical frequency conversion in silica-whispering-gallery-mode microspherical resonators,” Phys. Rev. Lett. 112(9), 093901 (2014).
[Crossref] [PubMed]

Savchenkov, A. A.

W. Liang, D. Eliyahu, V. S. Ilchenko, A. A. Savchenkov, A. B. Matsko, D. Seidel, and L. Maleki, “High spectral purity Kerr frequency comb radio frequency photonic oscillator,” Nat. Commun. 6, 7957 (2015).
[Crossref] [PubMed]

A. A. Savchenkov, V. S. Ilchenko, A. B. Matsko, and L. Maleki, “Kilohertz optical resonances in dielectric crystal cavities,” Phys. Rev. A 70(5), 051804 (2004).
[Crossref]

Schliesser, A.

P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, “Optical frequency comb generation from a monolithic microresonator,” Nature 450(7173), 1214–1217 (2007).
[Crossref] [PubMed]

Schmidt, C.

Seidel, D.

W. Liang, D. Eliyahu, V. S. Ilchenko, A. A. Savchenkov, A. B. Matsko, D. Seidel, and L. Maleki, “High spectral purity Kerr frequency comb radio frequency photonic oscillator,” Nat. Commun. 6, 7957 (2015).
[Crossref] [PubMed]

Shi, K.

B. B. Li, W. R. Clements, X. C. Yu, K. Shi, Q. Gong, and Y. F. Xiao, “Single nanoparticle detection using split-mode microcavity Raman lasers,” Proc. Natl. Acad. Sci. U.S.A. 111(41), 14657–14662 (2014).
[Crossref] [PubMed]

Solomon, G. S.

P. S. Kuo, J. Bravo-Abad, and G. S. Solomon, “Second-harmonic generation using 4-quasi-phasematching in a GaAs whispering-gallery-mode microcavity,” Nat. Commun. 5, 3109 (2014).
[Crossref] [PubMed]

Song, J.

J. Lin, Y. Xu, Z. Fang, M. Wang, J. Song, N. Wang, L. Qiao, W. Fang, and Y. Cheng, “Fabrication of high-Q lithium niobate microresonators using femtosecond laser micromachining,” Sci. Rep. 5, 8072 (2015).
[Crossref] [PubMed]

Soria, S.

D. Farnesi, A. Barucci, G. C. Righini, S. Berneschi, S. Soria, and G. Nunzi Conti, “Optical frequency conversion in silica-whispering-gallery-mode microspherical resonators,” Phys. Rev. Lett. 112(9), 093901 (2014).
[Crossref] [PubMed]

Stapfner, S.

Stark, P.

Swaim, J. D.

M. R. Foreman, J. D. Swaim, and F. Vollmer, “Whispering gallery mode sensors,” Adv. Opt. Photonics 7(2), 168–240 (2015).
[Crossref] [PubMed]

Teraoka, I.

Tünnermann, A.

Vahala, K.

T. Lu, H. Lee, T. Chen, S. Herchak, J. H. Kim, S. E. Fraser, R. C. Flagan, and K. Vahala, “High sensitivity nanoparticle detection using optical microcavities,” Proc. Natl. Acad. Sci. U.S.A. 108(15), 5976–5979 (2011).
[Crossref] [PubMed]

T. Carmon, L. Yang, and K. Vahala, “Dynamical thermal behavior and thermal self-stability of microcavities,” Opt. Express 12(20), 4742–4750 (2004).
[Crossref] [PubMed]

Vahala, K. J.

J. Li, S. Diddams, and K. J. Vahala, “Pump frequency noise coupling into a microcavity by thermo-optic locking,” Opt. Express 22(12), 14559–14567 (2014).
[Crossref] [PubMed]

T. J. Kippenberg and K. J. Vahala, “Cavity optomechanics: back-action at the mesoscale,” Science 321(5893), 1172–1176 (2008).
[Crossref] [PubMed]

T. Carmon and K. J. Vahala, “Visible continuous emission from a silica microphotonic device by third-harmonic generation,” Nat. Phys. 3(6), 430–435 (2007).
[Crossref]

D. Armani, B. Min, A. Martin, and K. J. Vahala, “Electrical thermo-optic tuning of ultrahigh-Q microtoroid resonators,” Appl. Phys. Lett. 85(22), 5439–5441 (2004).
[Crossref]

Venkataraman, V.

Vollmer, F.

M. R. Foreman, J. D. Swaim, and F. Vollmer, “Whispering gallery mode sensors,” Adv. Opt. Photonics 7(2), 168–240 (2015).
[Crossref] [PubMed]

Wan, S.

Wang, C.

Wang, H.

Wang, J.

F. Bo, J. Wang, J. Cui, Ş. K. Özdemir, Y. Kong, G. Zhang, J. Xu, and L. Yang, “Lithium-niobate–silica hybrid whispering-gallery-mode resonators,” Adv. Mater. 27(48), 8075–8081 (2015).
[Crossref] [PubMed]

J. Wang, F. Bo, S. Wan, W. Li, F. Gao, J. Li, G. Zhang, and J. Xu, “High-Q lithium niobate microdisk resonators on a chip for efficient electro-optic modulation,” Opt. Express 23(18), 23072–23078 (2015).
[Crossref] [PubMed]

Wang, M.

J. Lin, Y. Xu, Z. Fang, M. Wang, J. Song, N. Wang, L. Qiao, W. Fang, and Y. Cheng, “Fabrication of high-Q lithium niobate microresonators using femtosecond laser micromachining,” Sci. Rep. 5, 8072 (2015).
[Crossref] [PubMed]

Wang, N.

J. Lin, Y. Xu, Z. Fang, M. Wang, J. Song, N. Wang, L. Qiao, W. Fang, and Y. Cheng, “Fabrication of high-Q lithium niobate microresonators using femtosecond laser micromachining,” Sci. Rep. 5, 8072 (2015).
[Crossref] [PubMed]

Wang, Q.

Wang, Y.

Weig, E. M.

Wilken, T.

P. Del’Haye, A. Schliesser, O. Arcizet, T. Wilken, R. Holzwarth, and T. J. Kippenberg, “Optical frequency comb generation from a monolithic microresonator,” Nature 450(7173), 1214–1217 (2007).
[Crossref] [PubMed]

Wu, J.

Wu, Y.

Xiao, Y. F.

B. B. Li, W. R. Clements, X. C. Yu, K. Shi, Q. Gong, and Y. F. Xiao, “Single nanoparticle detection using split-mode microcavity Raman lasers,” Proc. Natl. Acad. Sci. U.S.A. 111(41), 14657–14662 (2014).
[Crossref] [PubMed]

L. He, Y. F. Xiao, J. Zhu, Ş. K. Özdemir, and L. Yang, “Oscillatory thermal dynamics in high-Q PDMS-coated silica toroidal microresonators,” Opt. Express 17(12), 9571–9581 (2009).
[Crossref] [PubMed]

C. H. Dong, L. He, Y. F. Xiao, V. R. Gaddam, Ş. K. Özdemir, Z. F. Han, G. C. Guo, and L. Yang, “Fabrication of high-Q polydimethylsiloxane optical microspheres for thermal sensing,” Appl. Phys. Lett. 94(23), 231119 (2009).
[Crossref]

Xu, J.

F. Bo, J. Wang, J. Cui, Ş. K. Özdemir, Y. Kong, G. Zhang, J. Xu, and L. Yang, “Lithium-niobate–silica hybrid whispering-gallery-mode resonators,” Adv. Mater. 27(48), 8075–8081 (2015).
[Crossref] [PubMed]

J. Wang, F. Bo, S. Wan, W. Li, F. Gao, J. Li, G. Zhang, and J. Xu, “High-Q lithium niobate microdisk resonators on a chip for efficient electro-optic modulation,” Opt. Express 23(18), 23072–23078 (2015).
[Crossref] [PubMed]

Xu, Y.

J. Lin, Y. Xu, Z. Fang, M. Wang, J. Song, N. Wang, L. Qiao, W. Fang, and Y. Cheng, “Fabrication of high-Q lithium niobate microresonators using femtosecond laser micromachining,” Sci. Rep. 5, 8072 (2015).
[Crossref] [PubMed]

Yang, L.

F. Bo, J. Wang, J. Cui, Ş. K. Özdemir, Y. Kong, G. Zhang, J. Xu, and L. Yang, “Lithium-niobate–silica hybrid whispering-gallery-mode resonators,” Adv. Mater. 27(48), 8075–8081 (2015).
[Crossref] [PubMed]

Ş. K. Özdemir, J. Zhu, X. Yang, B. Peng, H. Yilmaz, L. He, F. Monifi, S. H. Huang, G. L. Long, and L. Yang, “Highly sensitive detection of nanoparticles with a self-referenced and self-heterodyned whispering-gallery Raman microlaser,” Proc. Natl. Acad. Sci. U.S.A. 111(37), E3836–E3844 (2014).
[Crossref] [PubMed]

L. He, Ş. K. Özdemir, and L. Yang, “Whispering gallery microcavity lasers,” Laser Photonics Rev. 7(1), 60–82 (2013).
[Crossref]

C. H. Dong, L. He, Y. F. Xiao, V. R. Gaddam, Ş. K. Özdemir, Z. F. Han, G. C. Guo, and L. Yang, “Fabrication of high-Q polydimethylsiloxane optical microspheres for thermal sensing,” Appl. Phys. Lett. 94(23), 231119 (2009).
[Crossref]

L. He, Y. F. Xiao, J. Zhu, Ş. K. Özdemir, and L. Yang, “Oscillatory thermal dynamics in high-Q PDMS-coated silica toroidal microresonators,” Opt. Express 17(12), 9571–9581 (2009).
[Crossref] [PubMed]

T. Carmon, L. Yang, and K. Vahala, “Dynamical thermal behavior and thermal self-stability of microcavities,” Opt. Express 12(20), 4742–4750 (2004).
[Crossref] [PubMed]

Yang, X.

Ş. K. Özdemir, J. Zhu, X. Yang, B. Peng, H. Yilmaz, L. He, F. Monifi, S. H. Huang, G. L. Long, and L. Yang, “Highly sensitive detection of nanoparticles with a self-referenced and self-heterodyned whispering-gallery Raman microlaser,” Proc. Natl. Acad. Sci. U.S.A. 111(37), E3836–E3844 (2014).
[Crossref] [PubMed]

Yilmaz, H.

Ş. K. Özdemir, J. Zhu, X. Yang, B. Peng, H. Yilmaz, L. He, F. Monifi, S. H. Huang, G. L. Long, and L. Yang, “Highly sensitive detection of nanoparticles with a self-referenced and self-heterodyned whispering-gallery Raman microlaser,” Proc. Natl. Acad. Sci. U.S.A. 111(37), E3836–E3844 (2014).
[Crossref] [PubMed]

Yu, X. C.

B. B. Li, W. R. Clements, X. C. Yu, K. Shi, Q. Gong, and Y. F. Xiao, “Single nanoparticle detection using split-mode microcavity Raman lasers,” Proc. Natl. Acad. Sci. U.S.A. 111(41), 14657–14662 (2014).
[Crossref] [PubMed]

Zhang, G.

F. Bo, J. Wang, J. Cui, Ş. K. Özdemir, Y. Kong, G. Zhang, J. Xu, and L. Yang, “Lithium-niobate–silica hybrid whispering-gallery-mode resonators,” Adv. Mater. 27(48), 8075–8081 (2015).
[Crossref] [PubMed]

J. Wang, F. Bo, S. Wan, W. Li, F. Gao, J. Li, G. Zhang, and J. Xu, “High-Q lithium niobate microdisk resonators on a chip for efficient electro-optic modulation,” Opt. Express 23(18), 23072–23078 (2015).
[Crossref] [PubMed]

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Figures (6)

Fig. 1
Fig. 1 Typical microscope images of lithium niobate microdisk resonators. (a) Optical microscope image of a resonator with a radius of 40 μm. (b) and (c) The scanning electron microscope (SEM) images show the top views of a whole resonator and its edge, respectively.
Fig. 2
Fig. 2 The schematic diagram of the experimental setup for thermo-optic effect measurement. A tapered fiber is used to couple light into and from the LN microdisk resonator. Fibers are indicated by black lines; Electrical wires are presented by blue lines.
Fig. 3
Fig. 3 The transmission spectra of a LN microdisk for various input power. The wavelength sweeping speed of the tunable laser is 4.8 pm/s. The resonance wavelength of the cold resonator is about 1548.77 nm. (a) Broadening of the transmission spectra when the laser wavelength was shifted to the shorter wavelengths. (c) Compression of the transmission spectra when the laser wavelength was shifted toward the longer wavelengths. (b) and (d) show the simulation results corresponding to (a) and (c)
Fig. 4
Fig. 4 The experimental (left) and simulated (right) results showing the oscillatory phenomena in the transmission spectra of LN microdisk resonators achieved when the wavelength of the laser is shifted to the shorter wavelengths with a sweeping rate of 4.8 pm/s. The resonance wavelength of the cold resonator is about 1548.77 nm. The x axes are converted to the sweeping time of the laser wavelength for convenience. (a) and (b) shows the whole oscillation. (e)-(h) show the details of the oscillation during different time interval.
Fig. 5
Fig. 5 Experimental (a) and simulated transmission spectra (b) of a LN microdisk when the wavelength sweeping speed of the tunable laser was set to be 4.8 nm/s. The resonance wavelength of the cold resonator is about 1548.77 nm. The blue lines show the change in the laser wavelength with time.
Fig. 6
Fig. 6 FEM simulation results showing distribution of radial (a), azimuthal (b) and axial components (c) of electric field energy of the first order quasi-TM mode in cross section of LN microdisk.

Tables (1)

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Table 1 Parameters used in simulations

Equations (5)

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λ T = λ 0 + d n e f f d T 1 λ 0 n e f f ( T 1 T 0 ) + λ 0 T 2 ( T 2 T 0 )
d T 1 d t = P c Γ a b s C p 1 K 1 C p 1 ( T 1 T 2 )
d T 2 d t = K 1 C p 2 ( T 1 T 2 ) K 2 C p 2 ( T 2 T 0 )
d E c d t = ( i Δ ω + κ 0 2 + κ e 2 ) E c + i κ τ r E i n
E o u t = 1 κ 2 E i n + i κ E c

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