Abstract

The measurement of dispersion and its control have become important considerations in nonlinear devices based on microcavities. A sideband technique is applied here to accurately measure dispersion in a microcavity resulting from both geometrical and material contributions. Moreover, by combining the method with finite element simulations, we show that mapping of spectral lines to their corresponding transverse mode families is possible. The method is applicable for high-Q, micro-cavities having microwave rate free spectral range and has a relative precision of 5.5 × 10−6 for a 2 mm disk cavity with FSR of 32.9382 GHz and Q of 150 milllion.

© 2012 OSA

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    [CrossRef] [PubMed]
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    [CrossRef]
  4. T. Aoki, B. Dayan, E. Wilcut, W. P. Bowen, A. S. Parkins, T. J. Kippenberg, K. J. Vahala, and H. J. Kimble, “Observation of strong coupling between one atom and a monolithic microresonator,” Nature443, 671–674 (2006).
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  5. T. J. Kippenberg and K. J. Vahala, “Cavity optomechanics: Back-action at the mesoscale,” Science321, 1172–1176 (2008).
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    [CrossRef] [PubMed]
  10. H. Lee, T. Chen, J. Li, K. Yang, S. Jeon, O. Painter, and K. J. Vahala, “Chemically etched ultrahigh-Q wedge-resonator on a silicon chip,” Nat. Photon.6, 369–373 (2012).
    [CrossRef]
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    [CrossRef]
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    [CrossRef] [PubMed]
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    [CrossRef]
  23. A. A. Savchenkov, E. Rubiola, A. B. Matsko, V. S. Ilchenko, and L. Maleki, “Phase noise of whispering gallery photonic hyper-parametric microwave oscillators,” Opt. Express16, 4130–4144 (2008).
    [CrossRef] [PubMed]
  24. R. G. DeVoe, C. Fabre, K. Jungmann, J. Hoffnagle, and R. G. Brewer, “Precision optical-frequency-difference measurements,” Phys. Rev. A37, 1802–1805 (1988).
    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]
  27. S. M. Spillane, T. J. Kippenberg, O. J. Painter, and K. J. Vahala, “Ideality in a Fiber-Taper-Coupled Microresonator system for application to cavity quantum electrodynamics,” Phys. Rev. Lett.91, 043902 (2003).
    [CrossRef] [PubMed]
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    [CrossRef]
  29. O. Arcizet, A. Schliesser, P. DelHaye, R. Holzwarth, and T. J. Kippenberg, “Optical frequency comb generation in monolithic microresonators,” in Practical Applications of Microresonators in Optics and Photonics, ed. A. B. Matsko, (CRC Press, 2009), Ch. 11.
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2012 (3)

T. Herr, K. Hartinger, J. Riemensberger, C. Y. Wang, E. Gavartin, R. Holzwarth, M. Gorodetsky, and T. J. Kippenberg, “Universal formation dynamics and noise of Kerr-frequency combs in microresonators,” Nat. Photon.6, 480–487 (2012).
[CrossRef]

H. Lee, T. Chen, J. Li, K. Yang, S. Jeon, O. Painter, and K. J. Vahala, “Chemically etched ultrahigh-Q wedge-resonator on a silicon chip,” Nat. Photon.6, 369–373 (2012).
[CrossRef]

J. Li, H. Lee, T. Chen, and K. J. Vahala, “Characterization of a high coherence, Brillouin microcavity laser on silicon,” Opt. Express20, 20170–20180, (2012).
[CrossRef] [PubMed]

2011 (3)

S. B. Papp and S. A. Diddams, “Spectral and temporal characterization of a fused-quartz-microresonator optical frequency comb,” Phys. Rev. A84, 053833 (2011).
[CrossRef]

T. Lu, H. Lee, T. Chen, S. Herchak, J. 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, 5976–5979 (2011).
[CrossRef] [PubMed]

T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, “Microresonator-based optical frequency combs,” Science322, 555–559 (2011).
[CrossRef]

2010 (1)

2009 (3)

P. Del’Haye, O. Arcizet, M. L. Gorodetsky, R. Holzwarth, and T. J. Kippenberg, “Frequency comb assisted diode laser spectroscopy for measurement of microcavity dispersion,” Nat. Photonics3, 529–533 (2009).
[CrossRef]

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

M. Tomes and T. Carmon, “Photonic micro-electromechanical systems vibrating at X-band (11-GHz) rates,” Phys. Rev. Lett.102, 113601 (2009).
[CrossRef] [PubMed]

2008 (3)

T. J. Kippenberg and K. J. Vahala, “Cavity optomechanics: Back-action at the mesoscale,” Science321, 1172–1176 (2008).
[CrossRef] [PubMed]

F. Vollmer and S. Arnold, “Whispering-gallery-mode biosensing: label-free detection down to single molecules,” Nat. Methods5, 591–596 (2008).
[CrossRef] [PubMed]

A. A. Savchenkov, E. Rubiola, A. B. Matsko, V. S. Ilchenko, and L. Maleki, “Phase noise of whispering gallery photonic hyper-parametric microwave oscillators,” Opt. Express16, 4130–4144 (2008).
[CrossRef] [PubMed]

2007 (1)

M. Oxborrow, “Traceable 2-d finite-element simulation of the whispering-gallery modes of axisymmetric electromagnetic resonators,” IEEE Trans. Microw. Theory Tech.55, 1209–1218 (2007).
[CrossRef]

2006 (4)

A. Schliesser, C. Gohle, T. Udem, and T. W. Hansch, “Complete characterization of a broadband high-finesse cavity using an optical frequency comb,” Opt. Express14, 5975–5983 (2006).
[CrossRef] [PubMed]

A. B. Matkso and V. S. Ilchenko, “Optical resonators with whispering-gallery modes-Part I: Basics,” IEEE J. Quantum Electron.12, 3–14 (2006).
[CrossRef]

V. S. Ilchenko and A. B. Matkso, “Optical resonators with whispering-gallery modes-Part II: Applications,” IEEE J. Quantum Electron.12, 15–32 (2006).
[CrossRef]

T. Aoki, B. Dayan, E. Wilcut, W. P. Bowen, A. S. Parkins, T. J. Kippenberg, K. J. Vahala, and H. J. Kimble, “Observation of strong coupling between one atom and a monolithic microresonator,” Nature443, 671–674 (2006).
[CrossRef] [PubMed]

2005 (1)

2004 (1)

A. A. Savchenkov, V. S. Ilchenko, A. B. Matsko, and L. Maleki, “Kilohertz optical resonances in dielectric crystal cavities,” Phys. Rev. A70, 051804(R) (2004).
[CrossRef]

2003 (3)

K. J. Vahala, “Optical microcavities,” Nature424, 839–846 (2003).
[CrossRef] [PubMed]

D. K. Armani, T. J. Kippenberg, S. M. Spillane, and K. J. Vahala, “Ultra-high-Q toroid microcavity on a chip,” Nature421, 925–928 (2003).
[CrossRef] [PubMed]

S. M. Spillane, T. J. Kippenberg, O. J. Painter, and K. J. Vahala, “Ideality in a Fiber-Taper-Coupled Microresonator system for application to cavity quantum electrodynamics,” Phys. Rev. Lett.91, 043902 (2003).
[CrossRef] [PubMed]

2000 (1)

M. Cai, O. Painter, and K. J. Vahala, “Observation of critical coupling in a fiber taper to silica-microsphere whispering gallery mode system,” Phys. Rev. Lett.85, 74–77 (2000).
[CrossRef] [PubMed]

1998 (1)

1989 (1)

V. B. Braginsky, M. L. Gorodetsky, and V. S. Ilchenko, “Quality-factor and nonlinear properties of optical whispering-gallery modes,” Phys. Lett. A137, 393–397 (1989).
[CrossRef]

1988 (1)

R. G. DeVoe, C. Fabre, K. Jungmann, J. Hoffnagle, and R. G. Brewer, “Precision optical-frequency-difference measurements,” Phys. Rev. A37, 1802–1805 (1988).
[CrossRef] [PubMed]

Agrawal, G.

G. Agrawal, Nonlinear Fiber Optics (Academic Press, 2001).

Aoki, T.

T. Aoki, B. Dayan, E. Wilcut, W. P. Bowen, A. S. Parkins, T. J. Kippenberg, K. J. Vahala, and H. J. Kimble, “Observation of strong coupling between one atom and a monolithic microresonator,” Nature443, 671–674 (2006).
[CrossRef] [PubMed]

Arcizet, O.

P. Del’Haye, O. Arcizet, M. L. Gorodetsky, R. Holzwarth, and T. J. Kippenberg, “Frequency comb assisted diode laser spectroscopy for measurement of microcavity dispersion,” Nat. Photonics3, 529–533 (2009).
[CrossRef]

O. Arcizet, A. Schliesser, P. DelHaye, R. Holzwarth, and T. J. Kippenberg, “Optical frequency comb generation in monolithic microresonators,” in Practical Applications of Microresonators in Optics and Photonics, ed. A. B. Matsko, (CRC Press, 2009), Ch. 11.

Armani, D. K.

D. K. Armani, T. J. Kippenberg, S. M. Spillane, and K. J. Vahala, “Ultra-high-Q toroid microcavity on a chip,” Nature421, 925–928 (2003).
[CrossRef] [PubMed]

Arnold, S.

F. Vollmer and S. Arnold, “Whispering-gallery-mode biosensing: label-free detection down to single molecules,” Nat. Methods5, 591–596 (2008).
[CrossRef] [PubMed]

Bowen, W. P.

T. Aoki, B. Dayan, E. Wilcut, W. P. Bowen, A. S. Parkins, T. J. Kippenberg, K. J. Vahala, and H. J. Kimble, “Observation of strong coupling between one atom and a monolithic microresonator,” Nature443, 671–674 (2006).
[CrossRef] [PubMed]

Braginsky, V. B.

V. B. Braginsky, M. L. Gorodetsky, and V. S. Ilchenko, “Quality-factor and nonlinear properties of optical whispering-gallery modes,” Phys. Lett. A137, 393–397 (1989).
[CrossRef]

Brewer, R. G.

R. G. DeVoe, C. Fabre, K. Jungmann, J. Hoffnagle, and R. G. Brewer, “Precision optical-frequency-difference measurements,” Phys. Rev. A37, 1802–1805 (1988).
[CrossRef] [PubMed]

Cai, M.

M. Cai, O. Painter, and K. J. Vahala, “Observation of critical coupling in a fiber taper to silica-microsphere whispering gallery mode system,” Phys. Rev. Lett.85, 74–77 (2000).
[CrossRef] [PubMed]

Carmon, T.

M. Tomes and T. Carmon, “Photonic micro-electromechanical systems vibrating at X-band (11-GHz) rates,” Phys. Rev. Lett.102, 113601 (2009).
[CrossRef] [PubMed]

Chen, T.

H. Lee, T. Chen, J. Li, K. Yang, S. Jeon, O. Painter, and K. J. Vahala, “Chemically etched ultrahigh-Q wedge-resonator on a silicon chip,” Nat. Photon.6, 369–373 (2012).
[CrossRef]

J. Li, H. Lee, T. Chen, and K. J. Vahala, “Characterization of a high coherence, Brillouin microcavity laser on silicon,” Opt. Express20, 20170–20180, (2012).
[CrossRef] [PubMed]

T. Lu, H. Lee, T. Chen, S. Herchak, J. 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, 5976–5979 (2011).
[CrossRef] [PubMed]

J. Li, H. Lee, T. Chen, O. Painter, and K. Vahala, “Chip-based Brillouin lasers as spectral purifiers for photonic systems,” arXiv:1201.4212 (2011).

Dayan, B.

T. Aoki, B. Dayan, E. Wilcut, W. P. Bowen, A. S. Parkins, T. J. Kippenberg, K. J. Vahala, and H. J. Kimble, “Observation of strong coupling between one atom and a monolithic microresonator,” Nature443, 671–674 (2006).
[CrossRef] [PubMed]

Del’Haye, P.

P. Del’Haye, O. Arcizet, M. L. Gorodetsky, R. Holzwarth, and T. J. Kippenberg, “Frequency comb assisted diode laser spectroscopy for measurement of microcavity dispersion,” Nat. Photonics3, 529–533 (2009).
[CrossRef]

DelHaye, P.

O. Arcizet, A. Schliesser, P. DelHaye, R. Holzwarth, and T. J. Kippenberg, “Optical frequency comb generation in monolithic microresonators,” in Practical Applications of Microresonators in Optics and Photonics, ed. A. B. Matsko, (CRC Press, 2009), Ch. 11.

DeVoe, R. G.

R. G. DeVoe, C. Fabre, K. Jungmann, J. Hoffnagle, and R. G. Brewer, “Precision optical-frequency-difference measurements,” Phys. Rev. A37, 1802–1805 (1988).
[CrossRef] [PubMed]

Diddams, S. A.

S. B. Papp and S. A. Diddams, “Spectral and temporal characterization of a fused-quartz-microresonator optical frequency comb,” Phys. Rev. A84, 053833 (2011).
[CrossRef]

T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, “Microresonator-based optical frequency combs,” Science322, 555–559 (2011).
[CrossRef]

Fabre, C.

R. G. DeVoe, C. Fabre, K. Jungmann, J. Hoffnagle, and R. G. Brewer, “Precision optical-frequency-difference measurements,” Phys. Rev. A37, 1802–1805 (1988).
[CrossRef] [PubMed]

Flagan, R. C.

T. Lu, H. Lee, T. Chen, S. Herchak, J. 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, 5976–5979 (2011).
[CrossRef] [PubMed]

Fraser, S. E.

T. Lu, H. Lee, T. Chen, S. Herchak, J. 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, 5976–5979 (2011).
[CrossRef] [PubMed]

Gavartin, E.

T. Herr, K. Hartinger, J. Riemensberger, C. Y. Wang, E. Gavartin, R. Holzwarth, M. Gorodetsky, and T. J. Kippenberg, “Universal formation dynamics and noise of Kerr-frequency combs in microresonators,” Nat. Photon.6, 480–487 (2012).
[CrossRef]

Gohle, C.

Gorodetsky, M.

T. Herr, K. Hartinger, J. Riemensberger, C. Y. Wang, E. Gavartin, R. Holzwarth, M. Gorodetsky, and T. J. Kippenberg, “Universal formation dynamics and noise of Kerr-frequency combs in microresonators,” Nat. Photon.6, 480–487 (2012).
[CrossRef]

Gorodetsky, M. L.

P. Del’Haye, O. Arcizet, M. L. Gorodetsky, R. Holzwarth, and T. J. Kippenberg, “Frequency comb assisted diode laser spectroscopy for measurement of microcavity dispersion,” Nat. Photonics3, 529–533 (2009).
[CrossRef]

V. B. Braginsky, M. L. Gorodetsky, and V. S. Ilchenko, “Quality-factor and nonlinear properties of optical whispering-gallery modes,” Phys. Lett. A137, 393–397 (1989).
[CrossRef]

Grudinin, I.

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

Hansch, T. W.

Hartinger, K.

T. Herr, K. Hartinger, J. Riemensberger, C. Y. Wang, E. Gavartin, R. Holzwarth, M. Gorodetsky, and T. J. Kippenberg, “Universal formation dynamics and noise of Kerr-frequency combs in microresonators,” Nat. Photon.6, 480–487 (2012).
[CrossRef]

Herchak, S.

T. Lu, H. Lee, T. Chen, S. Herchak, J. 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, 5976–5979 (2011).
[CrossRef] [PubMed]

Herr, T.

T. Herr, K. Hartinger, J. Riemensberger, C. Y. Wang, E. Gavartin, R. Holzwarth, M. Gorodetsky, and T. J. Kippenberg, “Universal formation dynamics and noise of Kerr-frequency combs in microresonators,” Nat. Photon.6, 480–487 (2012).
[CrossRef]

Hoffnagle, J.

R. G. DeVoe, C. Fabre, K. Jungmann, J. Hoffnagle, and R. G. Brewer, “Precision optical-frequency-difference measurements,” Phys. Rev. A37, 1802–1805 (1988).
[CrossRef] [PubMed]

Holzwarth, R.

T. Herr, K. Hartinger, J. Riemensberger, C. Y. Wang, E. Gavartin, R. Holzwarth, M. Gorodetsky, and T. J. Kippenberg, “Universal formation dynamics and noise of Kerr-frequency combs in microresonators,” Nat. Photon.6, 480–487 (2012).
[CrossRef]

T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, “Microresonator-based optical frequency combs,” Science322, 555–559 (2011).
[CrossRef]

P. Del’Haye, O. Arcizet, M. L. Gorodetsky, R. Holzwarth, and T. J. Kippenberg, “Frequency comb assisted diode laser spectroscopy for measurement of microcavity dispersion,” Nat. Photonics3, 529–533 (2009).
[CrossRef]

O. Arcizet, A. Schliesser, P. DelHaye, R. Holzwarth, and T. J. Kippenberg, “Optical frequency comb generation in monolithic microresonators,” in Practical Applications of Microresonators in Optics and Photonics, ed. A. B. Matsko, (CRC Press, 2009), Ch. 11.

Ilchenko, V. S.

W. Liang, V. S. Ilchenko, A. A. Savchenkov, A. B. Matsko, D. Seidel, and L. Maleki, “Whispering-gallery-mode-resonator-based ultranarrow linewidth external-cavity semiconductor laser,” Opt. Lett.35, 2822–2824 (2010).
[CrossRef] [PubMed]

A. A. Savchenkov, E. Rubiola, A. B. Matsko, V. S. Ilchenko, and L. Maleki, “Phase noise of whispering gallery photonic hyper-parametric microwave oscillators,” Opt. Express16, 4130–4144 (2008).
[CrossRef] [PubMed]

A. B. Matkso and V. S. Ilchenko, “Optical resonators with whispering-gallery modes-Part I: Basics,” IEEE J. Quantum Electron.12, 3–14 (2006).
[CrossRef]

V. S. Ilchenko and A. B. Matkso, “Optical resonators with whispering-gallery modes-Part II: Applications,” IEEE J. Quantum Electron.12, 15–32 (2006).
[CrossRef]

A. A. Savchenkov, V. S. Ilchenko, A. B. Matsko, and L. Maleki, “Kilohertz optical resonances in dielectric crystal cavities,” Phys. Rev. A70, 051804(R) (2004).
[CrossRef]

D. W. Vernooy, V. S. Ilchenko, H. Mabuchi, E. W. Streed, and H. J. Kimble, “High-Q measurements of fused-silica microspheres in the near infrared,” Opt. Lett.23247–249 (1998).
[CrossRef]

V. B. Braginsky, M. L. Gorodetsky, and V. S. Ilchenko, “Quality-factor and nonlinear properties of optical whispering-gallery modes,” Phys. Lett. A137, 393–397 (1989).
[CrossRef]

Jeon, S.

H. Lee, T. Chen, J. Li, K. Yang, S. Jeon, O. Painter, and K. J. Vahala, “Chemically etched ultrahigh-Q wedge-resonator on a silicon chip,” Nat. Photon.6, 369–373 (2012).
[CrossRef]

Jones, R. J.

Jungmann, K.

R. G. DeVoe, C. Fabre, K. Jungmann, J. Hoffnagle, and R. G. Brewer, “Precision optical-frequency-difference measurements,” Phys. Rev. A37, 1802–1805 (1988).
[CrossRef] [PubMed]

Kim, J.

T. Lu, H. Lee, T. Chen, S. Herchak, J. 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, 5976–5979 (2011).
[CrossRef] [PubMed]

Kimble, H. J.

T. Aoki, B. Dayan, E. Wilcut, W. P. Bowen, A. S. Parkins, T. J. Kippenberg, K. J. Vahala, and H. J. Kimble, “Observation of strong coupling between one atom and a monolithic microresonator,” Nature443, 671–674 (2006).
[CrossRef] [PubMed]

D. W. Vernooy, V. S. Ilchenko, H. Mabuchi, E. W. Streed, and H. J. Kimble, “High-Q measurements of fused-silica microspheres in the near infrared,” Opt. Lett.23247–249 (1998).
[CrossRef]

Kippenberg, T. J.

T. Herr, K. Hartinger, J. Riemensberger, C. Y. Wang, E. Gavartin, R. Holzwarth, M. Gorodetsky, and T. J. Kippenberg, “Universal formation dynamics and noise of Kerr-frequency combs in microresonators,” Nat. Photon.6, 480–487 (2012).
[CrossRef]

T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, “Microresonator-based optical frequency combs,” Science322, 555–559 (2011).
[CrossRef]

P. Del’Haye, O. Arcizet, M. L. Gorodetsky, R. Holzwarth, and T. J. Kippenberg, “Frequency comb assisted diode laser spectroscopy for measurement of microcavity dispersion,” Nat. Photonics3, 529–533 (2009).
[CrossRef]

T. J. Kippenberg and K. J. Vahala, “Cavity optomechanics: Back-action at the mesoscale,” Science321, 1172–1176 (2008).
[CrossRef] [PubMed]

T. Aoki, B. Dayan, E. Wilcut, W. P. Bowen, A. S. Parkins, T. J. Kippenberg, K. J. Vahala, and H. J. Kimble, “Observation of strong coupling between one atom and a monolithic microresonator,” Nature443, 671–674 (2006).
[CrossRef] [PubMed]

S. M. Spillane, T. J. Kippenberg, O. J. Painter, and K. J. Vahala, “Ideality in a Fiber-Taper-Coupled Microresonator system for application to cavity quantum electrodynamics,” Phys. Rev. Lett.91, 043902 (2003).
[CrossRef] [PubMed]

D. K. Armani, T. J. Kippenberg, S. M. Spillane, and K. J. Vahala, “Ultra-high-Q toroid microcavity on a chip,” Nature421, 925–928 (2003).
[CrossRef] [PubMed]

O. Arcizet, A. Schliesser, P. DelHaye, R. Holzwarth, and T. J. Kippenberg, “Optical frequency comb generation in monolithic microresonators,” in Practical Applications of Microresonators in Optics and Photonics, ed. A. B. Matsko, (CRC Press, 2009), Ch. 11.

Lalezari, R.

Lee, H.

J. Li, H. Lee, T. Chen, and K. J. Vahala, “Characterization of a high coherence, Brillouin microcavity laser on silicon,” Opt. Express20, 20170–20180, (2012).
[CrossRef] [PubMed]

H. Lee, T. Chen, J. Li, K. Yang, S. Jeon, O. Painter, and K. J. Vahala, “Chemically etched ultrahigh-Q wedge-resonator on a silicon chip,” Nat. Photon.6, 369–373 (2012).
[CrossRef]

T. Lu, H. Lee, T. Chen, S. Herchak, J. 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, 5976–5979 (2011).
[CrossRef] [PubMed]

J. Li, H. Lee, T. Chen, O. Painter, and K. Vahala, “Chip-based Brillouin lasers as spectral purifiers for photonic systems,” arXiv:1201.4212 (2011).

Li, J.

J. Li, H. Lee, T. Chen, and K. J. Vahala, “Characterization of a high coherence, Brillouin microcavity laser on silicon,” Opt. Express20, 20170–20180, (2012).
[CrossRef] [PubMed]

H. Lee, T. Chen, J. Li, K. Yang, S. Jeon, O. Painter, and K. J. Vahala, “Chemically etched ultrahigh-Q wedge-resonator on a silicon chip,” Nat. Photon.6, 369–373 (2012).
[CrossRef]

J. Li, H. Lee, T. Chen, O. Painter, and K. Vahala, “Chip-based Brillouin lasers as spectral purifiers for photonic systems,” arXiv:1201.4212 (2011).

Liang, W.

Lu, T.

T. Lu, H. Lee, T. Chen, S. Herchak, J. 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, 5976–5979 (2011).
[CrossRef] [PubMed]

Mabuchi, H.

Maleki, L.

Matkso, A. B.

V. S. Ilchenko and A. B. Matkso, “Optical resonators with whispering-gallery modes-Part II: Applications,” IEEE J. Quantum Electron.12, 15–32 (2006).
[CrossRef]

A. B. Matkso and V. S. Ilchenko, “Optical resonators with whispering-gallery modes-Part I: Basics,” IEEE J. Quantum Electron.12, 3–14 (2006).
[CrossRef]

Matsko, A.

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

Matsko, A. B.

Moll, K. D.

Oxborrow, M.

M. Oxborrow, “Traceable 2-d finite-element simulation of the whispering-gallery modes of axisymmetric electromagnetic resonators,” IEEE Trans. Microw. Theory Tech.55, 1209–1218 (2007).
[CrossRef]

Painter, O.

H. Lee, T. Chen, J. Li, K. Yang, S. Jeon, O. Painter, and K. J. Vahala, “Chemically etched ultrahigh-Q wedge-resonator on a silicon chip,” Nat. Photon.6, 369–373 (2012).
[CrossRef]

M. Cai, O. Painter, and K. J. Vahala, “Observation of critical coupling in a fiber taper to silica-microsphere whispering gallery mode system,” Phys. Rev. Lett.85, 74–77 (2000).
[CrossRef] [PubMed]

J. Li, H. Lee, T. Chen, O. Painter, and K. Vahala, “Chip-based Brillouin lasers as spectral purifiers for photonic systems,” arXiv:1201.4212 (2011).

Painter, O. J.

S. M. Spillane, T. J. Kippenberg, O. J. Painter, and K. J. Vahala, “Ideality in a Fiber-Taper-Coupled Microresonator system for application to cavity quantum electrodynamics,” Phys. Rev. Lett.91, 043902 (2003).
[CrossRef] [PubMed]

Papp, S. B.

S. B. Papp and S. A. Diddams, “Spectral and temporal characterization of a fused-quartz-microresonator optical frequency comb,” Phys. Rev. A84, 053833 (2011).
[CrossRef]

Parkins, A. S.

T. Aoki, B. Dayan, E. Wilcut, W. P. Bowen, A. S. Parkins, T. J. Kippenberg, K. J. Vahala, and H. J. Kimble, “Observation of strong coupling between one atom and a monolithic microresonator,” Nature443, 671–674 (2006).
[CrossRef] [PubMed]

Riemensberger, J.

T. Herr, K. Hartinger, J. Riemensberger, C. Y. Wang, E. Gavartin, R. Holzwarth, M. Gorodetsky, and T. J. Kippenberg, “Universal formation dynamics and noise of Kerr-frequency combs in microresonators,” Nat. Photon.6, 480–487 (2012).
[CrossRef]

Rubiola, E.

Savchenkov, A. A.

Schliesser, A.

A. Schliesser, C. Gohle, T. Udem, and T. W. Hansch, “Complete characterization of a broadband high-finesse cavity using an optical frequency comb,” Opt. Express14, 5975–5983 (2006).
[CrossRef] [PubMed]

O. Arcizet, A. Schliesser, P. DelHaye, R. Holzwarth, and T. J. Kippenberg, “Optical frequency comb generation in monolithic microresonators,” in Practical Applications of Microresonators in Optics and Photonics, ed. A. B. Matsko, (CRC Press, 2009), Ch. 11.

Seidel, D.

Spillane, S. M.

S. M. Spillane, T. J. Kippenberg, O. J. Painter, and K. J. Vahala, “Ideality in a Fiber-Taper-Coupled Microresonator system for application to cavity quantum electrodynamics,” Phys. Rev. Lett.91, 043902 (2003).
[CrossRef] [PubMed]

D. K. Armani, T. J. Kippenberg, S. M. Spillane, and K. J. Vahala, “Ultra-high-Q toroid microcavity on a chip,” Nature421, 925–928 (2003).
[CrossRef] [PubMed]

Streed, E. W.

Thorpe, M. J.

Tomes, M.

M. Tomes and T. Carmon, “Photonic micro-electromechanical systems vibrating at X-band (11-GHz) rates,” Phys. Rev. Lett.102, 113601 (2009).
[CrossRef] [PubMed]

Udem, T.

Vahala, K.

T. Lu, H. Lee, T. Chen, S. Herchak, J. 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, 5976–5979 (2011).
[CrossRef] [PubMed]

J. Li, H. Lee, T. Chen, O. Painter, and K. Vahala, “Chip-based Brillouin lasers as spectral purifiers for photonic systems,” arXiv:1201.4212 (2011).

Vahala, K. J.

J. Li, H. Lee, T. Chen, and K. J. Vahala, “Characterization of a high coherence, Brillouin microcavity laser on silicon,” Opt. Express20, 20170–20180, (2012).
[CrossRef] [PubMed]

H. Lee, T. Chen, J. Li, K. Yang, S. Jeon, O. Painter, and K. J. Vahala, “Chemically etched ultrahigh-Q wedge-resonator on a silicon chip,” Nat. Photon.6, 369–373 (2012).
[CrossRef]

T. J. Kippenberg and K. J. Vahala, “Cavity optomechanics: Back-action at the mesoscale,” Science321, 1172–1176 (2008).
[CrossRef] [PubMed]

T. Aoki, B. Dayan, E. Wilcut, W. P. Bowen, A. S. Parkins, T. J. Kippenberg, K. J. Vahala, and H. J. Kimble, “Observation of strong coupling between one atom and a monolithic microresonator,” Nature443, 671–674 (2006).
[CrossRef] [PubMed]

K. J. Vahala, “Optical microcavities,” Nature424, 839–846 (2003).
[CrossRef] [PubMed]

S. M. Spillane, T. J. Kippenberg, O. J. Painter, and K. J. Vahala, “Ideality in a Fiber-Taper-Coupled Microresonator system for application to cavity quantum electrodynamics,” Phys. Rev. Lett.91, 043902 (2003).
[CrossRef] [PubMed]

D. K. Armani, T. J. Kippenberg, S. M. Spillane, and K. J. Vahala, “Ultra-high-Q toroid microcavity on a chip,” Nature421, 925–928 (2003).
[CrossRef] [PubMed]

M. Cai, O. Painter, and K. J. Vahala, “Observation of critical coupling in a fiber taper to silica-microsphere whispering gallery mode system,” Phys. Rev. Lett.85, 74–77 (2000).
[CrossRef] [PubMed]

Vernooy, D. W.

Vollmer, F.

F. Vollmer and S. Arnold, “Whispering-gallery-mode biosensing: label-free detection down to single molecules,” Nat. Methods5, 591–596 (2008).
[CrossRef] [PubMed]

Wang, C. Y.

T. Herr, K. Hartinger, J. Riemensberger, C. Y. Wang, E. Gavartin, R. Holzwarth, M. Gorodetsky, and T. J. Kippenberg, “Universal formation dynamics and noise of Kerr-frequency combs in microresonators,” Nat. Photon.6, 480–487 (2012).
[CrossRef]

Wilcut, E.

T. Aoki, B. Dayan, E. Wilcut, W. P. Bowen, A. S. Parkins, T. J. Kippenberg, K. J. Vahala, and H. J. Kimble, “Observation of strong coupling between one atom and a monolithic microresonator,” Nature443, 671–674 (2006).
[CrossRef] [PubMed]

Yang, K.

H. Lee, T. Chen, J. Li, K. Yang, S. Jeon, O. Painter, and K. J. Vahala, “Chemically etched ultrahigh-Q wedge-resonator on a silicon chip,” Nat. Photon.6, 369–373 (2012).
[CrossRef]

Ye, J.

IEEE J. Quantum Electron. (2)

A. B. Matkso and V. S. Ilchenko, “Optical resonators with whispering-gallery modes-Part I: Basics,” IEEE J. Quantum Electron.12, 3–14 (2006).
[CrossRef]

V. S. Ilchenko and A. B. Matkso, “Optical resonators with whispering-gallery modes-Part II: Applications,” IEEE J. Quantum Electron.12, 15–32 (2006).
[CrossRef]

IEEE Trans. Microw. Theory Tech. (1)

M. Oxborrow, “Traceable 2-d finite-element simulation of the whispering-gallery modes of axisymmetric electromagnetic resonators,” IEEE Trans. Microw. Theory Tech.55, 1209–1218 (2007).
[CrossRef]

Nat. Methods (1)

F. Vollmer and S. Arnold, “Whispering-gallery-mode biosensing: label-free detection down to single molecules,” Nat. Methods5, 591–596 (2008).
[CrossRef] [PubMed]

Nat. Photon. (2)

T. Herr, K. Hartinger, J. Riemensberger, C. Y. Wang, E. Gavartin, R. Holzwarth, M. Gorodetsky, and T. J. Kippenberg, “Universal formation dynamics and noise of Kerr-frequency combs in microresonators,” Nat. Photon.6, 480–487 (2012).
[CrossRef]

H. Lee, T. Chen, J. Li, K. Yang, S. Jeon, O. Painter, and K. J. Vahala, “Chemically etched ultrahigh-Q wedge-resonator on a silicon chip,” Nat. Photon.6, 369–373 (2012).
[CrossRef]

Nat. Photonics (1)

P. Del’Haye, O. Arcizet, M. L. Gorodetsky, R. Holzwarth, and T. J. Kippenberg, “Frequency comb assisted diode laser spectroscopy for measurement of microcavity dispersion,” Nat. Photonics3, 529–533 (2009).
[CrossRef]

Nature (3)

K. J. Vahala, “Optical microcavities,” Nature424, 839–846 (2003).
[CrossRef] [PubMed]

D. K. Armani, T. J. Kippenberg, S. M. Spillane, and K. J. Vahala, “Ultra-high-Q toroid microcavity on a chip,” Nature421, 925–928 (2003).
[CrossRef] [PubMed]

T. Aoki, B. Dayan, E. Wilcut, W. P. Bowen, A. S. Parkins, T. J. Kippenberg, K. J. Vahala, and H. J. Kimble, “Observation of strong coupling between one atom and a monolithic microresonator,” Nature443, 671–674 (2006).
[CrossRef] [PubMed]

Opt. Express (4)

Opt. Lett. (2)

Phys. Lett. A (1)

V. B. Braginsky, M. L. Gorodetsky, and V. S. Ilchenko, “Quality-factor and nonlinear properties of optical whispering-gallery modes,” Phys. Lett. A137, 393–397 (1989).
[CrossRef]

Phys. Rev. A (3)

A. A. Savchenkov, V. S. Ilchenko, A. B. Matsko, and L. Maleki, “Kilohertz optical resonances in dielectric crystal cavities,” Phys. Rev. A70, 051804(R) (2004).
[CrossRef]

S. B. Papp and S. A. Diddams, “Spectral and temporal characterization of a fused-quartz-microresonator optical frequency comb,” Phys. Rev. A84, 053833 (2011).
[CrossRef]

R. G. DeVoe, C. Fabre, K. Jungmann, J. Hoffnagle, and R. G. Brewer, “Precision optical-frequency-difference measurements,” Phys. Rev. A37, 1802–1805 (1988).
[CrossRef] [PubMed]

Phys. Rev. Lett. (4)

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

M. Tomes and T. Carmon, “Photonic micro-electromechanical systems vibrating at X-band (11-GHz) rates,” Phys. Rev. Lett.102, 113601 (2009).
[CrossRef] [PubMed]

M. Cai, O. Painter, and K. J. Vahala, “Observation of critical coupling in a fiber taper to silica-microsphere whispering gallery mode system,” Phys. Rev. Lett.85, 74–77 (2000).
[CrossRef] [PubMed]

S. M. Spillane, T. J. Kippenberg, O. J. Painter, and K. J. Vahala, “Ideality in a Fiber-Taper-Coupled Microresonator system for application to cavity quantum electrodynamics,” Phys. Rev. Lett.91, 043902 (2003).
[CrossRef] [PubMed]

Proc. Natl. Acad. Sci. U.S.A. (1)

T. Lu, H. Lee, T. Chen, S. Herchak, J. 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, 5976–5979 (2011).
[CrossRef] [PubMed]

Science (2)

T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, “Microresonator-based optical frequency combs,” Science322, 555–559 (2011).
[CrossRef]

T. J. Kippenberg and K. J. Vahala, “Cavity optomechanics: Back-action at the mesoscale,” Science321, 1172–1176 (2008).
[CrossRef] [PubMed]

Other (3)

J. Li, H. Lee, T. Chen, O. Painter, and K. Vahala, “Chip-based Brillouin lasers as spectral purifiers for photonic systems,” arXiv:1201.4212 (2011).

O. Arcizet, A. Schliesser, P. DelHaye, R. Holzwarth, and T. J. Kippenberg, “Optical frequency comb generation in monolithic microresonators,” in Practical Applications of Microresonators in Optics and Photonics, ed. A. B. Matsko, (CRC Press, 2009), Ch. 11.

G. Agrawal, Nonlinear Fiber Optics (Academic Press, 2001).

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