Abstract

Threshold and efficiency of optical parametric oscillation in whispering gallery resonators have been predicted to depend strongly on the coupling strength. Our experiments, varying the coupling strength continuously over 3 orders of magnitude, confirm these predictions. The pump threshold changes by a factor of 20, allowing the adaptation of the system to a wide range of input powers. The minimum threshold of 0.20 mW occurs for significant pump undercoupling. The efficiency increases monotonically with coupling, spanning 4 orders of magnitude with a maximum efficiency of 30% in contact yielding output powers exceeding 1 mW.

© 2012 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. A. B. Matsko, A. A. Savchenkov, D. Strekalov, V. S. Ilchenko, and L. Maleki, IPN Progress Report 42–162, 1 (2005).
  2. T. Beckmann, H. Linnenbank, H. Steigerwald, B. Sturman, D. Haertle, K. Buse, and I. Breunig, Phys. Rev. Lett. 106, 143903 (2011).
    [CrossRef]
  3. M. Förtsch, J. Fürst, C. Wittmann, D. Strekalov, A. Aiello, M. Chekhova, C. Silberhorn, G. Leuchs, and C. Marquardt, “A versatile source of single photons for quantum information processing,” arXiv:1204.3056 (2012).
  4. C. S. Werner, T. Beckmann, K. Buse, and I. Breunig, Opt. Lett. 37, 4224 (2012).
    [CrossRef]
  5. L. E. Myers, R. C. Eckardt, M. M. Fejer, R. L. Byer, W. R. Bosenberg, and J. W. Pierce, J. Opt. Soc. Am. B 12, 2102 (1995).
    [CrossRef]
  6. J. Fürst, D. Strekalov, D. Elser, A. Aiello, U. Andersen, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 105, 263904 (2010).
    [CrossRef]
  7. J. U. Fürst, D. V. Strekalov, D. Elser, A. Aiello, U. L. Andersen, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 106, 113901 (2011).
    [CrossRef]
  8. B. Sturman and I. Breunig, J. Opt. Soc. Am. B 28, 2465 (2011).
    [CrossRef]
  9. Y. Furukawa, K. Kitamura, S. Takekawa, K. Niwa, and H. Hatano, Opt. Lett. 23, 1892 (1998).
    [CrossRef]
  10. A. Grisard, E. Lallier, K. Polgar, and A. Peter, Electron. Lett. 36, 1043 (2000).
    [CrossRef]
  11. M. L. Gorodetsky and V. S. Ilchenko, Opt. Commun. 113, 133 (1994).
    [CrossRef]
  12. A. Savchenkov, V. Ilchenko, A. Matsko, and L. Maleki, Phys. Rev. A 70, 051804 (2004).
    [CrossRef]

2012 (1)

2011 (3)

B. Sturman and I. Breunig, J. Opt. Soc. Am. B 28, 2465 (2011).
[CrossRef]

T. Beckmann, H. Linnenbank, H. Steigerwald, B. Sturman, D. Haertle, K. Buse, and I. Breunig, Phys. Rev. Lett. 106, 143903 (2011).
[CrossRef]

J. U. Fürst, D. V. Strekalov, D. Elser, A. Aiello, U. L. Andersen, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 106, 113901 (2011).
[CrossRef]

2010 (1)

J. Fürst, D. Strekalov, D. Elser, A. Aiello, U. Andersen, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 105, 263904 (2010).
[CrossRef]

2005 (1)

A. B. Matsko, A. A. Savchenkov, D. Strekalov, V. S. Ilchenko, and L. Maleki, IPN Progress Report 42–162, 1 (2005).

2004 (1)

A. Savchenkov, V. Ilchenko, A. Matsko, and L. Maleki, Phys. Rev. A 70, 051804 (2004).
[CrossRef]

2000 (1)

A. Grisard, E. Lallier, K. Polgar, and A. Peter, Electron. Lett. 36, 1043 (2000).
[CrossRef]

1998 (1)

1995 (1)

1994 (1)

M. L. Gorodetsky and V. S. Ilchenko, Opt. Commun. 113, 133 (1994).
[CrossRef]

Aiello, A.

J. U. Fürst, D. V. Strekalov, D. Elser, A. Aiello, U. L. Andersen, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 106, 113901 (2011).
[CrossRef]

J. Fürst, D. Strekalov, D. Elser, A. Aiello, U. Andersen, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 105, 263904 (2010).
[CrossRef]

M. Förtsch, J. Fürst, C. Wittmann, D. Strekalov, A. Aiello, M. Chekhova, C. Silberhorn, G. Leuchs, and C. Marquardt, “A versatile source of single photons for quantum information processing,” arXiv:1204.3056 (2012).

Andersen, U.

J. Fürst, D. Strekalov, D. Elser, A. Aiello, U. Andersen, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 105, 263904 (2010).
[CrossRef]

Andersen, U. L.

J. U. Fürst, D. V. Strekalov, D. Elser, A. Aiello, U. L. Andersen, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 106, 113901 (2011).
[CrossRef]

Beckmann, T.

C. S. Werner, T. Beckmann, K. Buse, and I. Breunig, Opt. Lett. 37, 4224 (2012).
[CrossRef]

T. Beckmann, H. Linnenbank, H. Steigerwald, B. Sturman, D. Haertle, K. Buse, and I. Breunig, Phys. Rev. Lett. 106, 143903 (2011).
[CrossRef]

Bosenberg, W. R.

Breunig, I.

C. S. Werner, T. Beckmann, K. Buse, and I. Breunig, Opt. Lett. 37, 4224 (2012).
[CrossRef]

B. Sturman and I. Breunig, J. Opt. Soc. Am. B 28, 2465 (2011).
[CrossRef]

T. Beckmann, H. Linnenbank, H. Steigerwald, B. Sturman, D. Haertle, K. Buse, and I. Breunig, Phys. Rev. Lett. 106, 143903 (2011).
[CrossRef]

Buse, K.

C. S. Werner, T. Beckmann, K. Buse, and I. Breunig, Opt. Lett. 37, 4224 (2012).
[CrossRef]

T. Beckmann, H. Linnenbank, H. Steigerwald, B. Sturman, D. Haertle, K. Buse, and I. Breunig, Phys. Rev. Lett. 106, 143903 (2011).
[CrossRef]

Byer, R. L.

Chekhova, M.

M. Förtsch, J. Fürst, C. Wittmann, D. Strekalov, A. Aiello, M. Chekhova, C. Silberhorn, G. Leuchs, and C. Marquardt, “A versatile source of single photons for quantum information processing,” arXiv:1204.3056 (2012).

Eckardt, R. C.

Elser, D.

J. U. Fürst, D. V. Strekalov, D. Elser, A. Aiello, U. L. Andersen, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 106, 113901 (2011).
[CrossRef]

J. Fürst, D. Strekalov, D. Elser, A. Aiello, U. Andersen, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 105, 263904 (2010).
[CrossRef]

Fejer, M. M.

Förtsch, M.

M. Förtsch, J. Fürst, C. Wittmann, D. Strekalov, A. Aiello, M. Chekhova, C. Silberhorn, G. Leuchs, and C. Marquardt, “A versatile source of single photons for quantum information processing,” arXiv:1204.3056 (2012).

Fürst, J.

J. Fürst, D. Strekalov, D. Elser, A. Aiello, U. Andersen, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 105, 263904 (2010).
[CrossRef]

M. Förtsch, J. Fürst, C. Wittmann, D. Strekalov, A. Aiello, M. Chekhova, C. Silberhorn, G. Leuchs, and C. Marquardt, “A versatile source of single photons for quantum information processing,” arXiv:1204.3056 (2012).

Fürst, J. U.

J. U. Fürst, D. V. Strekalov, D. Elser, A. Aiello, U. L. Andersen, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 106, 113901 (2011).
[CrossRef]

Furukawa, Y.

Gorodetsky, M. L.

M. L. Gorodetsky and V. S. Ilchenko, Opt. Commun. 113, 133 (1994).
[CrossRef]

Grisard, A.

A. Grisard, E. Lallier, K. Polgar, and A. Peter, Electron. Lett. 36, 1043 (2000).
[CrossRef]

Haertle, D.

T. Beckmann, H. Linnenbank, H. Steigerwald, B. Sturman, D. Haertle, K. Buse, and I. Breunig, Phys. Rev. Lett. 106, 143903 (2011).
[CrossRef]

Hatano, H.

Ilchenko, V. S.

A. B. Matsko, A. A. Savchenkov, D. Strekalov, V. S. Ilchenko, and L. Maleki, IPN Progress Report 42–162, 1 (2005).

M. L. Gorodetsky and V. S. Ilchenko, Opt. Commun. 113, 133 (1994).
[CrossRef]

Kitamura, K.

Lallier, E.

A. Grisard, E. Lallier, K. Polgar, and A. Peter, Electron. Lett. 36, 1043 (2000).
[CrossRef]

Leuchs, G.

J. U. Fürst, D. V. Strekalov, D. Elser, A. Aiello, U. L. Andersen, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 106, 113901 (2011).
[CrossRef]

J. Fürst, D. Strekalov, D. Elser, A. Aiello, U. Andersen, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 105, 263904 (2010).
[CrossRef]

M. Förtsch, J. Fürst, C. Wittmann, D. Strekalov, A. Aiello, M. Chekhova, C. Silberhorn, G. Leuchs, and C. Marquardt, “A versatile source of single photons for quantum information processing,” arXiv:1204.3056 (2012).

Linnenbank, H.

T. Beckmann, H. Linnenbank, H. Steigerwald, B. Sturman, D. Haertle, K. Buse, and I. Breunig, Phys. Rev. Lett. 106, 143903 (2011).
[CrossRef]

Maleki, L.

A. B. Matsko, A. A. Savchenkov, D. Strekalov, V. S. Ilchenko, and L. Maleki, IPN Progress Report 42–162, 1 (2005).

Marquardt, C.

J. U. Fürst, D. V. Strekalov, D. Elser, A. Aiello, U. L. Andersen, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 106, 113901 (2011).
[CrossRef]

J. Fürst, D. Strekalov, D. Elser, A. Aiello, U. Andersen, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 105, 263904 (2010).
[CrossRef]

M. Förtsch, J. Fürst, C. Wittmann, D. Strekalov, A. Aiello, M. Chekhova, C. Silberhorn, G. Leuchs, and C. Marquardt, “A versatile source of single photons for quantum information processing,” arXiv:1204.3056 (2012).

Matsko, A. B.

A. B. Matsko, A. A. Savchenkov, D. Strekalov, V. S. Ilchenko, and L. Maleki, IPN Progress Report 42–162, 1 (2005).

Myers, L. E.

Niwa, K.

Peter, A.

A. Grisard, E. Lallier, K. Polgar, and A. Peter, Electron. Lett. 36, 1043 (2000).
[CrossRef]

Pierce, J. W.

Polgar, K.

A. Grisard, E. Lallier, K. Polgar, and A. Peter, Electron. Lett. 36, 1043 (2000).
[CrossRef]

Savchenkov, A. A.

A. B. Matsko, A. A. Savchenkov, D. Strekalov, V. S. Ilchenko, and L. Maleki, IPN Progress Report 42–162, 1 (2005).

Silberhorn, C.

M. Förtsch, J. Fürst, C. Wittmann, D. Strekalov, A. Aiello, M. Chekhova, C. Silberhorn, G. Leuchs, and C. Marquardt, “A versatile source of single photons for quantum information processing,” arXiv:1204.3056 (2012).

Steigerwald, H.

T. Beckmann, H. Linnenbank, H. Steigerwald, B. Sturman, D. Haertle, K. Buse, and I. Breunig, Phys. Rev. Lett. 106, 143903 (2011).
[CrossRef]

Strekalov, D.

J. Fürst, D. Strekalov, D. Elser, A. Aiello, U. Andersen, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 105, 263904 (2010).
[CrossRef]

A. B. Matsko, A. A. Savchenkov, D. Strekalov, V. S. Ilchenko, and L. Maleki, IPN Progress Report 42–162, 1 (2005).

M. Förtsch, J. Fürst, C. Wittmann, D. Strekalov, A. Aiello, M. Chekhova, C. Silberhorn, G. Leuchs, and C. Marquardt, “A versatile source of single photons for quantum information processing,” arXiv:1204.3056 (2012).

Strekalov, D. V.

J. U. Fürst, D. V. Strekalov, D. Elser, A. Aiello, U. L. Andersen, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 106, 113901 (2011).
[CrossRef]

Sturman, B.

T. Beckmann, H. Linnenbank, H. Steigerwald, B. Sturman, D. Haertle, K. Buse, and I. Breunig, Phys. Rev. Lett. 106, 143903 (2011).
[CrossRef]

B. Sturman and I. Breunig, J. Opt. Soc. Am. B 28, 2465 (2011).
[CrossRef]

Takekawa, S.

Werner, C. S.

Wittmann, C.

M. Förtsch, J. Fürst, C. Wittmann, D. Strekalov, A. Aiello, M. Chekhova, C. Silberhorn, G. Leuchs, and C. Marquardt, “A versatile source of single photons for quantum information processing,” arXiv:1204.3056 (2012).

Electron. Lett. (1)

A. Grisard, E. Lallier, K. Polgar, and A. Peter, Electron. Lett. 36, 1043 (2000).
[CrossRef]

IPN Progress Report (1)

A. B. Matsko, A. A. Savchenkov, D. Strekalov, V. S. Ilchenko, and L. Maleki, IPN Progress Report 42–162, 1 (2005).

J. Opt. Soc. Am. B (2)

Opt. Commun. (1)

M. L. Gorodetsky and V. S. Ilchenko, Opt. Commun. 113, 133 (1994).
[CrossRef]

Opt. Lett. (2)

Phys. Rev. A (1)

A. Savchenkov, V. Ilchenko, A. Matsko, and L. Maleki, Phys. Rev. A 70, 051804 (2004).
[CrossRef]

Phys. Rev. Lett. (3)

T. Beckmann, H. Linnenbank, H. Steigerwald, B. Sturman, D. Haertle, K. Buse, and I. Breunig, Phys. Rev. Lett. 106, 143903 (2011).
[CrossRef]

J. Fürst, D. Strekalov, D. Elser, A. Aiello, U. Andersen, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 105, 263904 (2010).
[CrossRef]

J. U. Fürst, D. V. Strekalov, D. Elser, A. Aiello, U. L. Andersen, C. Marquardt, and G. Leuchs, Phys. Rev. Lett. 106, 113901 (2011).
[CrossRef]

Other (1)

M. Förtsch, J. Fürst, C. Wittmann, D. Strekalov, A. Aiello, M. Chekhova, C. Silberhorn, G. Leuchs, and C. Marquardt, “A versatile source of single photons for quantum information processing,” arXiv:1204.3056 (2012).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1.
Fig. 1.

Experimental setup: part of the incident pump power P˜0 is coupled into the resonator using a prism. Transmitted pump power P1 as well as the signal and idler power Ps+i are measured on the output side. The coupling strength is changed by applying a voltage Upiezo to the piezo stack P. Inset: as the piezoelectric actuator increases the gap, a maximum in the contrast K occurs as the setup passes critical coupling.

Fig. 2.
Fig. 2.

Above a threshold of Pthres=0.72mW, the observed output power Ps+i increases with the incident pump power. The slope efficiency at threshold is η0=0.66.

Fig. 3.
Fig. 3.

Coupling gap grows with increasing piezovoltage Upiezo, changing linear and nonlinear properties: (a) The coupling contrast K has an optimum when internal and coupling losses are equal. (b) The pump threshold Pthres for OPO has a minimum, which occurs at a larger gap size than that for maximum coupling. (c) The slope efficiency η0 decreases over 4 orders of magnitude, with a maximum of 0.65 in contact.

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

rx=|κ|2αxL=exp2γx(UpiezoU0,x).
K=P˜0P1P˜0Kmax=4rp(rp+1)2Kmax.
Ps+i=2η0(P0Pthres1)Pthres,
η0=dPs+idP0(P0=Pthres)=2(rp1+1)(rsi1+1)
Pthres=D(rp+1)2(rsi+1)2rp,

Metrics