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Journal of the Optical Society of America B

Journal of the Optical Society of America B


  • Editor: Henry M. Van Driel
  • Vol. 24, Iss. 6 — Jun. 1, 2007
  • pp: 1324–1335

Whispering-gallery-mode resonators as frequency references. I. Fundamental limitations

Andrey B. Matsko, Anatoliy A. Savchenkov, Nan Yu, and Lute Maleki  »View Author Affiliations

JOSA B, Vol. 24, Issue 6, pp. 1324-1335 (2007)

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We discuss thermodynamic as well as quantum limitations of the stability of resonance frequencies of solid-state whispering-gallery-mode resonators. We show that the relative frequency stability of a millimeter scale resonator can reach one part per 10 12 per 1 s integration time.

© 2007 Optical Society of America

OCIS Codes
(120.6810) Instrumentation, measurement, and metrology : Thermal effects
(230.5750) Optical devices : Resonators
(350.5340) Other areas of optics : Photothermal effects

ToC Category:
Optical Devices

Original Manuscript: January 22, 2007
Manuscript Accepted: February 11, 2007
Published: May 17, 2007

Andrey B. Matsko, Anatoliy A. Savchenkov, Nan Yu, and Lute Maleki, "Whispering-gallery-mode resonators as frequency references. I. Fundamental limitations," J. Opt. Soc. Am. B 24, 1324-1335 (2007)

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  1. R. W. P. Drever, J. L. Hall, F. V. Kowalski, J. Hough, G. M. Ford, A. J. Munley, and H. Ward, "Laser phase and frequency stabilization using an optical resonator," Appl. Phys. B 31, 97-105 (1983). [CrossRef]
  2. Ch. Salomon, D. Hils, and J. L. Hall, "Laser stabilization at the millihertz level," J. Opt. Soc. Am. B 5, 1576-1587 (1988). [CrossRef]
  3. T. Day, E. K. Gustafson, and R. L. Byer, "Sub-hertz relative frequency stabilization of 2-diode laser-pumped Nd:YAG lasers locked to a Fabry-Perot interferometer," IEEE J. Quantum Electron. 28, 1106-1117 (1992). [CrossRef]
  4. J. Dirscherl, B. Neizert, T. Wegener, and H. Walther, "A dye laser spectrometer for high resolution spectroscopy," Opt. Commun. 91, 131-139 (1992). [CrossRef]
  5. S. Seel, R. Storz, G. Ruoso, J. Mlynek, and S. Schiller, "Cryogenic optical resonators: a new tool for laser frequency stabilization at the 1Hz level," Phys. Rev. Lett. 78, 4741-4744 (1997). [CrossRef]
  6. B. C. Young, F. C. Cruz, W. M. Itano, and J. C. Bergquist, "Visible lasers with subhertz linewidths," Phys. Rev. Lett. 82, 3799-3802 (1999). [CrossRef]
  7. M. Notcutt, L.-S. Ma, J. Ye, and J. L. Hall, "Simple and compact 1-Hz laser system via an improved mounting configuration of a reference cavity," Opt. Lett. 30, 1815-1817 (2005). [CrossRef] [PubMed]
  8. T. Nazarova, F. Riehle, and U. Sterr, "Vibration-insensitive reference cavity for an ultra-narrow-linewidth laser," Appl. Phys. B 83, 531-536 (2006). [CrossRef]
  9. K. Numata, A. Kemery, and J. Camp, "Thermal-noise limit in the frequency stabilization of lasers with rigid cavities," Phys. Rev. Lett. 93, 250602 (2004). [CrossRef]
  10. V. V. Vassiliev, V. L. Velichansky, V. S. Ilchenko, M. L. Gorodetsky, L. Hollberg, and A. V. Yarovitsky, "Narrow-line-width diode laser with a high-Q microsphere resonator," Opt. Commun. 158, 305-312 (1998). [CrossRef]
  11. X. S. Yao and L. Maleki, "Optoelectronic microwave oscillator," J. Opt. Soc. Am. B 13, 1725-1735 (1996). [CrossRef]
  12. X. S. Yao and L. Maleki, "Dual microwave and optical oscillator," Opt. Lett. 22, 1867-1869 (1997). [CrossRef]
  13. T. J. Kippenberg, S. M. Spillane, and K. J. Vahala, "Kerr-nonlinearity optical parametric oscillation in an ultrahigh-Q toroid microcavity," Phys. Rev. Lett. 93, 083904 (2004). [CrossRef] [PubMed]
  14. A. A. Savchenkov, A. B. Matsko, D. Strekalov, M. Mohageg, V. S. Ilchenko, and L. Maleki, "Low threshold optical oscillations in a whispering gallery mode CaF2 resonator," Phys. Rev. Lett. 93, 243905 (2004). [CrossRef]
  15. T. Carmon, H. Rokhsari, L. Yang, T. J. Kippenberg, and K. J. Vahala, "Temporal behavior of radiation-pressure-induced vibrations of an optical microcavity phonon mode," Phys. Rev. Lett. 94, 223902 (2005). [CrossRef] [PubMed]
  16. T. J. Kippenberg, H. Rokhsari, T. Carmon, A. Scherer, and K. J. Vahala, "Analysis of radiation-pressure induced mechanical oscillation of an optical microcavity," Phys. Rev. Lett. 95, 033901 (2005). [CrossRef] [PubMed]
  17. H. Rokhsari, T. J. Kippenberg, T. Carmon, and K. J. Vahala, "Theoretical and experimental study of radiation pressure-induced mechanical oscillations (parametric instability) in optical microcavities," IEEE J. Sel. Top. Quantum Electron. 12, 96-107 (2006). [CrossRef]
  18. A. A. Savchenkov, V. S. Ilchenko, A. B. Matsko, and L. Maleki, "Kilohertz optical resonances in dielectric crystal cavities," Phys. Rev. A 70, 051804(R) (2004). [CrossRef]
  19. S. Logunov and S. Kuchinsky, "Experimental and theoretical study of bulk light scattering in CaF2 monocrystals," J. Appl. Phys. 98, 053501 (2005). [CrossRef]
  20. M. L. Gorodetsky and I. S. Grudinin, "Fundamental thermal fluctuations in microspheres," J. Opt. Soc. Am. B 21, 697-705 (2004). [CrossRef]
  21. A. A. Savchenkov, I. S. Grudinin, A. B. Matsko, D. Strekalov, M. Mohageg, V. S. Ilchenko, and L. Maleki, "Morphology-dependent photonic circuit elements," Opt. Lett. 31, 1313-1315 (2006). [CrossRef] [PubMed]
  22. L. D. Landau and E. M. Lifshitz, Course Of Theoretical Physics Vol. 5: Statistical Physics (Part 1) (Elsevier, 1980).
  23. V. B. Braginsky, M. L. Gorodetsky, and V. S. Ilchenko, "Quality-factor and nonlinear properties of optical whispering-gallery modes," Phys. Lett. A 137, 393-397 (1989). [CrossRef]
  24. V. B. Braginsky, M. L. Gorodetsky, and S. P. Vyatchanin, "Thermodynamical fluctuations and photo-thermal shot noise in gravitational wave antennae," Phys. Lett. A 264, 1-10 (1999). [CrossRef]
  25. V. B. Braginsky, V. P. Mitrofanov, and V. I. Panov, Systems with Small Dissipation (U. Chicago Press, 1985).
  26. K. Goda, K. McKenzie, E. E. Mikhailov, P. K. Lam, D. E. McClelland, and N. Mavalvala, "Photothermal fluctuations as a fundamental limit to low-frequency squeezing in a degenerate optical parametric oscillator," Phys. Rev. A 72, 043819 (2005). [CrossRef]
  27. V. B. Braginsky and S. P. Vyatchanin, "Frequency fluctuations of nonlinear origin in self-sustained optical oscillators," Phys. Lett. A 279, 154-162 (2001). [CrossRef]
  28. S. Chang, A. G. Mann, A. N. Luiten, and D. G. Blair, "Measurements of radiation pressure effect in cryogenic sapphire dielectric resonators," Phys. Rev. Lett. 79, 2141-2144 (1997). [CrossRef]
  29. C. Audoin, "Enrico Fermi," Course LXVIII, in Proceedings of the International School of Physics, A.F.Milone and P.Giacomo, eds. (International School of Physics, 1980), p. 169.

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