Abstract

We report on realization of an efficient triply resonant coupling between two long lived optical modes and a high frequency surface acoustic wave (SAW) mode of the same monolithic crystalline whispering gallery mode resonator. The coupling results in an opto-mechanical oscillation and generation of a monochromatic SAW. A strong nonlinear interaction of this mechanical mode with other equidistant SAW modes leads to mechanical hyperparametric oscillation and generation of a SAW pulse train and associated frequency comb in the resonator. We visualized the comb by observing the modulation of the light escaping the resonator.

© 2011 Optical Society of America

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  1. T. J. Kippenberg and K. J. Vahala, Science 321, 1172 (2008).
    [CrossRef] [PubMed]
  2. A. B. Matsko, A. A. Savchenkov, V. S. Ilchenko, D. Seidel, and L. Maleki, Phys. Rev. Lett. 103, 257403 (2009).
    [CrossRef]
  3. Y. Shui, D. Royer, E. Dieulesaint, and Z. Sun, IEEE Proc. Ultrasonic Symposium 1, 343 (1988).
  4. J. D. Zehnpfennig, G. Bahl, M. Tomes, and T. Carmon, in Frontiers in Optics, OSA Technical Digest CD (Optical Society of America, 2010), paper PDPB10.
  5. T. J. Kippenberg, H. Rokhsari, T. Carmon, A. Scherer, and K. J. Vahala, Phys. Rev. Lett. 95, 033901 (2005).
    [CrossRef] [PubMed]
  6. T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, Science 332, 555 (2011).
    [CrossRef] [PubMed]
  7. I. S. Grudinin, H. Lee, O. Painter, and K. J. Vahala, Phys. Rev. Lett. 104, 083901 (2010).
    [CrossRef] [PubMed]
  8. W. Liang, V. S. Ilchenko, A. A. Savchenkov, A. B. Matsko, D. Seidel, and L. Maleki, Opt. Lett. 35, 2822 (2010).
    [CrossRef] [PubMed]
  9. W. D. Sacher and J. K. S. Poon, Opt. Express 16, 15741(2008).
    [CrossRef] [PubMed]
  10. A. P. Mayer, Phys. Rep. 256, 237 (1995).
    [CrossRef]

2011 (1)

T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, Science 332, 555 (2011).
[CrossRef] [PubMed]

2010 (2)

2009 (1)

A. B. Matsko, A. A. Savchenkov, V. S. Ilchenko, D. Seidel, and L. Maleki, Phys. Rev. Lett. 103, 257403 (2009).
[CrossRef]

2008 (2)

2005 (1)

T. J. Kippenberg, H. Rokhsari, T. Carmon, A. Scherer, and K. J. Vahala, Phys. Rev. Lett. 95, 033901 (2005).
[CrossRef] [PubMed]

1995 (1)

A. P. Mayer, Phys. Rep. 256, 237 (1995).
[CrossRef]

1988 (1)

Y. Shui, D. Royer, E. Dieulesaint, and Z. Sun, IEEE Proc. Ultrasonic Symposium 1, 343 (1988).

Bahl, G.

J. D. Zehnpfennig, G. Bahl, M. Tomes, and T. Carmon, in Frontiers in Optics, OSA Technical Digest CD (Optical Society of America, 2010), paper PDPB10.

Carmon, T.

T. J. Kippenberg, H. Rokhsari, T. Carmon, A. Scherer, and K. J. Vahala, Phys. Rev. Lett. 95, 033901 (2005).
[CrossRef] [PubMed]

J. D. Zehnpfennig, G. Bahl, M. Tomes, and T. Carmon, in Frontiers in Optics, OSA Technical Digest CD (Optical Society of America, 2010), paper PDPB10.

Diddams, S. A.

T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, Science 332, 555 (2011).
[CrossRef] [PubMed]

Dieulesaint, E.

Y. Shui, D. Royer, E. Dieulesaint, and Z. Sun, IEEE Proc. Ultrasonic Symposium 1, 343 (1988).

Grudinin, I. S.

I. S. Grudinin, H. Lee, O. Painter, and K. J. Vahala, Phys. Rev. Lett. 104, 083901 (2010).
[CrossRef] [PubMed]

Holzwarth, R.

T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, Science 332, 555 (2011).
[CrossRef] [PubMed]

Ilchenko, V. S.

W. Liang, V. S. Ilchenko, A. A. Savchenkov, A. B. Matsko, D. Seidel, and L. Maleki, Opt. Lett. 35, 2822 (2010).
[CrossRef] [PubMed]

A. B. Matsko, A. A. Savchenkov, V. S. Ilchenko, D. Seidel, and L. Maleki, Phys. Rev. Lett. 103, 257403 (2009).
[CrossRef]

Kippenberg, T. J.

T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, Science 332, 555 (2011).
[CrossRef] [PubMed]

T. J. Kippenberg and K. J. Vahala, Science 321, 1172 (2008).
[CrossRef] [PubMed]

T. J. Kippenberg, H. Rokhsari, T. Carmon, A. Scherer, and K. J. Vahala, Phys. Rev. Lett. 95, 033901 (2005).
[CrossRef] [PubMed]

Lee, H.

I. S. Grudinin, H. Lee, O. Painter, and K. J. Vahala, Phys. Rev. Lett. 104, 083901 (2010).
[CrossRef] [PubMed]

Liang, W.

Maleki, L.

W. Liang, V. S. Ilchenko, A. A. Savchenkov, A. B. Matsko, D. Seidel, and L. Maleki, Opt. Lett. 35, 2822 (2010).
[CrossRef] [PubMed]

A. B. Matsko, A. A. Savchenkov, V. S. Ilchenko, D. Seidel, and L. Maleki, Phys. Rev. Lett. 103, 257403 (2009).
[CrossRef]

Matsko, A. B.

W. Liang, V. S. Ilchenko, A. A. Savchenkov, A. B. Matsko, D. Seidel, and L. Maleki, Opt. Lett. 35, 2822 (2010).
[CrossRef] [PubMed]

A. B. Matsko, A. A. Savchenkov, V. S. Ilchenko, D. Seidel, and L. Maleki, Phys. Rev. Lett. 103, 257403 (2009).
[CrossRef]

Mayer, A. P.

A. P. Mayer, Phys. Rep. 256, 237 (1995).
[CrossRef]

Painter, O.

I. S. Grudinin, H. Lee, O. Painter, and K. J. Vahala, Phys. Rev. Lett. 104, 083901 (2010).
[CrossRef] [PubMed]

Poon, J. K. S.

Rokhsari, H.

T. J. Kippenberg, H. Rokhsari, T. Carmon, A. Scherer, and K. J. Vahala, Phys. Rev. Lett. 95, 033901 (2005).
[CrossRef] [PubMed]

Royer, D.

Y. Shui, D. Royer, E. Dieulesaint, and Z. Sun, IEEE Proc. Ultrasonic Symposium 1, 343 (1988).

Sacher, W. D.

Savchenkov, A. A.

W. Liang, V. S. Ilchenko, A. A. Savchenkov, A. B. Matsko, D. Seidel, and L. Maleki, Opt. Lett. 35, 2822 (2010).
[CrossRef] [PubMed]

A. B. Matsko, A. A. Savchenkov, V. S. Ilchenko, D. Seidel, and L. Maleki, Phys. Rev. Lett. 103, 257403 (2009).
[CrossRef]

Scherer, A.

T. J. Kippenberg, H. Rokhsari, T. Carmon, A. Scherer, and K. J. Vahala, Phys. Rev. Lett. 95, 033901 (2005).
[CrossRef] [PubMed]

Seidel, D.

W. Liang, V. S. Ilchenko, A. A. Savchenkov, A. B. Matsko, D. Seidel, and L. Maleki, Opt. Lett. 35, 2822 (2010).
[CrossRef] [PubMed]

A. B. Matsko, A. A. Savchenkov, V. S. Ilchenko, D. Seidel, and L. Maleki, Phys. Rev. Lett. 103, 257403 (2009).
[CrossRef]

Shui, Y.

Y. Shui, D. Royer, E. Dieulesaint, and Z. Sun, IEEE Proc. Ultrasonic Symposium 1, 343 (1988).

Sun, Z.

Y. Shui, D. Royer, E. Dieulesaint, and Z. Sun, IEEE Proc. Ultrasonic Symposium 1, 343 (1988).

Tomes, M.

J. D. Zehnpfennig, G. Bahl, M. Tomes, and T. Carmon, in Frontiers in Optics, OSA Technical Digest CD (Optical Society of America, 2010), paper PDPB10.

Vahala, K. J.

I. S. Grudinin, H. Lee, O. Painter, and K. J. Vahala, Phys. Rev. Lett. 104, 083901 (2010).
[CrossRef] [PubMed]

T. J. Kippenberg and K. J. Vahala, Science 321, 1172 (2008).
[CrossRef] [PubMed]

T. J. Kippenberg, H. Rokhsari, T. Carmon, A. Scherer, and K. J. Vahala, Phys. Rev. Lett. 95, 033901 (2005).
[CrossRef] [PubMed]

Zehnpfennig, J. D.

J. D. Zehnpfennig, G. Bahl, M. Tomes, and T. Carmon, in Frontiers in Optics, OSA Technical Digest CD (Optical Society of America, 2010), paper PDPB10.

IEEE Proc. Ultrasonic Symposium (1)

Y. Shui, D. Royer, E. Dieulesaint, and Z. Sun, IEEE Proc. Ultrasonic Symposium 1, 343 (1988).

Opt. Express (1)

Opt. Lett. (1)

Phys. Rep. (1)

A. P. Mayer, Phys. Rep. 256, 237 (1995).
[CrossRef]

Phys. Rev. Lett. (3)

I. S. Grudinin, H. Lee, O. Painter, and K. J. Vahala, Phys. Rev. Lett. 104, 083901 (2010).
[CrossRef] [PubMed]

T. J. Kippenberg, H. Rokhsari, T. Carmon, A. Scherer, and K. J. Vahala, Phys. Rev. Lett. 95, 033901 (2005).
[CrossRef] [PubMed]

A. B. Matsko, A. A. Savchenkov, V. S. Ilchenko, D. Seidel, and L. Maleki, Phys. Rev. Lett. 103, 257403 (2009).
[CrossRef]

Science (2)

T. J. Kippenberg and K. J. Vahala, Science 321, 1172 (2008).
[CrossRef] [PubMed]

T. J. Kippenberg, R. Holzwarth, and S. A. Diddams, Science 332, 555 (2011).
[CrossRef] [PubMed]

Other (1)

J. D. Zehnpfennig, G. Bahl, M. Tomes, and T. Carmon, in Frontiers in Optics, OSA Technical Digest CD (Optical Society of America, 2010), paper PDPB10.

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Figures (5)

Fig. 1
Fig. 1

Schematic of the experiment.

Fig. 2
Fig. 2

Measurement of the FSR of the SAW WGMs using Stokes light emitted by the resonator. The emission is observed when the frequency difference of the TE and TM modes coincide with corresponding harmonic of SAW, and the pump power is strong enough to initialize the OMO. The harmonics (a) are measured using the RF beat note between the pump and Stokes light demodulated with a photodiode and recorded with an RF spectrum analyzer. The spectrum of harmonics is equidistant (b). Three families of lines, belonging to three different SAW WGM families, are observed.

Fig. 3
Fig. 3

Dependence of the RF signal produced by the modulated light escaping the resonator on a fast photodiode, on the position of the fused silica plate touching the resonator. The signal disappears when the angle is less than 20 degrees. This confirms that the SAW WGM is localized between α = ± 20 ° at the resonator surface.

Fig. 4
Fig. 4

Waveform of the optical pulses escaping the Mg F 2 resonator recorded with the fast oscilloscope.

Fig. 5
Fig. 5

An example of RF spectrum generated at the fast photodiode by the light leaving the WGM resonator. The power of the light at the photodiode was less than 1 mW which is far from the saturation power of the photodiode. We selected 1 MHz resolution bandwidth in this measurement.

Equations (1)

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Q c π ( n r 2 1 ) l 3 / 2 2 n r n c 2 n r 2 exp [ 4 π d λ n r 2 1 ] ,

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