Advertisement

Applied Physics B

, 104:503 | Cite as

Temperature induced nonlinearity in coupled microresonators

  • C. SchmidtEmail author
  • A. Chipouline
  • T. Käsebier
  • E.-B. Kley
  • A. Tünnermann
  • T. Pertsch
Article

Abstract

We present here, our most recent results from theoretical and experimental investigations of optical properties of coupled microresonators. While fused silica spherical microresonators with Q-factors of about 107 to 108 can be quite easily fabricated, the production of a number of equally sized spheres, which appears to be a necessary condition for effective light coupling, has proved challenging. In order to bypass this problem we focus our attention on the investigation of coupled disk microresonators made of fused silica. These may be fabricated in almost arbitrary two-dimensional configuration with nanometer precision. A Q-factor of 105 can be routinely achieved, which relaxes the requirements on uniformity of the microdisks to within the range of fabrication accuracy. The achieved Q-factors are high enough to observe thermal nonlinear effects in the fabricated coupled disks. A detailed experimental analysis of the thermal nonlinear resonance behavior in a system of two coupled microdisks now follows. The results were found to be in good agreement with the respective calculations based on coupled mode theory including temperature induced nonlinear response.

Keywords

Pump Power Optical Bistability Couple Mode Theory Coupling Rate Thermal Nonlinearity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

References

  1. 1.
    V.B. Braginsky, M.L. Gorodetsky, V.S. Ilchenko, Phys. Lett. A 137, 393 (1989) ADSCrossRefGoogle Scholar
  2. 2.
    S.L. McCall, A.F.J. Levi, R.E. Slusher, S.J. Pearton, R.A. Logan, Appl. Phys. Lett. 60, 289 (1992) ADSCrossRefGoogle Scholar
  3. 3.
    V.S. Ilchenko, M.L. Gorodetsky, X.S. Yao, L. Maleki, Opt. Lett. 26, 256 (2001) ADSCrossRefGoogle Scholar
  4. 4.
    V.S. Ilchenko, A.B. Matsko, IEEE J. Sel. Top. Quantum Electron. 12, 15 (2006) CrossRefGoogle Scholar
  5. 5.
    H.B. Lin, A.L. Huston, J.D. Eversole, A.J. Campillo, J. Opt. Soc. Am. B 7, 2079 (1990) ADSCrossRefGoogle Scholar
  6. 6.
    S.M. Spillane, T.J. Kippenberg, K.J. Vahala, Nature 415, 621 (2002) ADSCrossRefGoogle Scholar
  7. 7.
    T.J. Kippenberg, S.M. Spillane, K.J. Vahala, Phys. Rev. Lett. 93, 83904 (2004) ADSCrossRefGoogle Scholar
  8. 8.
    V.B. Braginsky, Y.I. Vorontsov, K.S. Thorne, Science 209, 547 (1980) ADSCrossRefGoogle Scholar
  9. 9.
    S.M. Spillane, T.J. Kippenberg, K.J. Vahala, K.W. Goh, E. Wilcut, H.J. Kimble, Phys. Rev. A 71, 013817 (2005) ADSCrossRefGoogle Scholar
  10. 10.
    T.J. Kippenberg, K.J. Vahala, Science 321, 1172 (2008) ADSCrossRefGoogle Scholar
  11. 11.
    L.I. Deych, C. Schmidt, A. Chipouline, T. Pertsch, A. Tunnermann, Phys. Rev. A 77, 051801(R) (2008) ADSCrossRefGoogle Scholar
  12. 12.
    Z. Chen, A. Taflove, V. Backman, Opt. Lett. 31, 389 (2006) ADSCrossRefGoogle Scholar
  13. 13.
    L.I. Deych, O. Roslyak, Phys. Rev. E 73, 036606 (2006) ADSCrossRefGoogle Scholar
  14. 14.
    L.I. Deych, C. Schmidt, A. Chipouline, T. Pertsch, A. Tünnermann, Appl. Phys. B 93, 21 (2008) ADSCrossRefGoogle Scholar
  15. 15.
    Y. Hara, T. Mukaiyama, K. Takeda, M. Kuwata-Gonokami, Phys. Rev. Lett. 94, 203905 (2005) ADSCrossRefGoogle Scholar
  16. 16.
    A. Naweed, G. Farca, S.I. Shopova, A.T. Rosenberger, Phys. Rev. A 71, 43804 (2005) ADSCrossRefGoogle Scholar
  17. 17.
    S.P. Ashili, V.N. Astratov, E.C.H. Sykes, Opt. Express 14, 9460 (2006) ADSCrossRefGoogle Scholar
  18. 18.
    K. Totsuka, N. Kobayashi, M. Tomita, Phys. Rev. Lett. 98, 213904 (2007) ADSCrossRefGoogle Scholar
  19. 19.
    V.N. Astratov, J.P. Franchak, S.P. Ashili, Appl. Phys. Lett. 85, 5508 (2004) ADSCrossRefGoogle Scholar
  20. 20.
    B.M. Möller, U. Woggon, M.V. Artemyev, Phys. Rev. B 75, 245327 (2007) ADSCrossRefGoogle Scholar
  21. 21.
    S. Boriskina, J. Opt. Soc. Am. B 23, 1565 (2006) ADSCrossRefGoogle Scholar
  22. 22.
    E.I. Smotrova, A.I. Nosich, T.M. Benson, P. Sewell, IEEE J. Sel. Top. Quantum Electron. 12, 78 (2006) CrossRefGoogle Scholar
  23. 23.
    A. Yariv, Y. Xu, R.K. Lee, A. Scherer, Opt. Lett. 24, 711 (1999) ADSCrossRefGoogle Scholar
  24. 24.
    J.K.S. Poon, J. Scheuer, Y. Xu, A. Yariv, J. Opt. Soc. Am. B 21, 1665 (2004) ADSCrossRefGoogle Scholar
  25. 25.
    A.A. Savchenkov, V.S. Ilchenko, A.B. Matsko, L. Maleki, IEEE Photonics Technol. Lett. 17, 136(2005) ADSCrossRefGoogle Scholar
  26. 26.
    C. Schmidt, A. Chipouline, T. Käsebier, E.-B. Kley, A. Tünnermann, V. Shuvayev, L.I. Deych, T. Pertsch, Phys. Rev. B 80, 043841 (2009) ADSCrossRefGoogle Scholar
  27. 27.
    I.S. Grudinin, K.J. Vahala, Opt. Express 17, 14088 (2009) ADSCrossRefGoogle Scholar
  28. 28.
    N. Ahkmediev, A. Ankiewicz, Dissipative Solitons (Springer, Berlin, 2005) CrossRefGoogle Scholar
  29. 29.
    V.S. Ilchenko, M.L. Gorodetsky, Laser Phys. 2, 1004 (1992) Google Scholar
  30. 30.
    C. Schmidt, A. Chipouline, T. Pertsch, A. Tünnermann, O. Egorov, F. Lederer, L.I. Deych, Opt. Express 16, 6285 (2008) ADSCrossRefGoogle Scholar
  31. 31.
    A.I. Nosich, E.I. Smotrova, S.V. Boriskina, T.M. Benson, P. Sewell, Opt. Quantum Electron. 39, 1253 (2007) CrossRefGoogle Scholar
  32. 32.
    J.C. Knight, G. Cheung, F. Jacques, T.A. Birks, Opt. Lett. 22, 1129 (1997) ADSCrossRefGoogle Scholar
  33. 33.
    S.M. Spillane, T.J. Kippenberg, O.J. Painter, K.J. Vahala, Phys. Rev. Lett. 91, 43902 (2003) ADSCrossRefGoogle Scholar
  34. 34.
    H.A. Haus, Waves and Fields in Optoelectronics (Prentice Hall, New York, 1984) Google Scholar
  35. 35.
    A.E. Fomin, M.L. Gorodetsky, I.S. Grudinin, V.S. Ilchenko, J. Opt. Soc. Am. B 22, 459 (2005) ADSCrossRefGoogle Scholar
  36. 36.
    C. Schmidt, A. Chipouline, T. Käsebier, E.-B. Kley, A. Tünnermann, T. Pertsch, Opt. Lett. 35, 3351 (2010) ADSCrossRefGoogle Scholar
  37. 37.
    M. Borselli, T.J. Johnson, O. Painter, Opt. Express 13, 1515 (2005) ADSCrossRefGoogle Scholar
  38. 38.
    R.W. Boyd, Nonlinear Optics (Academic Press, London, 2003) Google Scholar
  39. 39.
    T. Carmon, L. Yang, K.J. Vahala, Opt. Express 12, 4742 (2004) ADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag 2011

Authors and Affiliations

  • C. Schmidt
    • 1
    Email author
  • A. Chipouline
    • 1
  • T. Käsebier
    • 1
  • E.-B. Kley
    • 1
  • A. Tünnermann
    • 1
    • 2
  • T. Pertsch
    • 1
  1. 1.Institute of Applied PhysicsFriedrich-Schiller-Universität JenaJenaGermany
  2. 2.Fraunhofer Institute of Applied Optics and Precision EngineeringJenaGermany

Personalised recommendations