Nonlinear propagation of incoherent white light in a photopolymerizable medium: evidence of the co-existence and competition between spontaneous pattern formation and self-trapping

Article

Abstract

Evidence is presented for the coexistence and competition between two different forms of the nonlinear propagation of incoherent white light—self-trapping and spontaneous pattern formation due to modulation instability—in a photopolymerizable organosiloxane. Equidistant weak spots surrounding the dominant self-trapped beam were observed in a fraction of experiments (47%). The weak spots observed during self-trapping were similar to those that form across a uniform broad beam of white light due to modulation instability. In the majority of cases, the single self-trapped beam dominated and propagated through the medium without diffraction. In a small percentage of experiments (9%), intensity was redistributed between at least four different spots by sequential transfer of intensity between nearest-neighbour spots.

References

  1. 1.
    J. Zhang, K. Kasala, A. Rewari, K. Saravanamuttu, J. Am. Chem. Soc. 128, 406–407 (2006)PubMedCrossRefGoogle Scholar
  2. 2.
    J. Zhang, K. Saravanamuttu, J. Am. Chem. Soc. 128, 14913–14923 (2006)PubMedCrossRefGoogle Scholar
  3. 3.
    I.B. Burgess, W.E. Shimmell, K. Saravanamuttu, J. Am. Chem. Soc. 129, 4738–4746 (2007)PubMedCrossRefGoogle Scholar
  4. 4.
    M.D. Iturbe-Castillo, M. Torres-Cisneros, J.J. Sánchez-Mondragón, S. Chávez-Cerda, S.I. Stepanov, V.A. Vysloukh, G.E. Torres-Cisneros, Opt. Lett. 20, 1853–1855 (1995)CrossRefADSGoogle Scholar
  5. 5.
    M. Peccianti, C. Conti, G. Assanto, A. De Luca, C. Umeton, Nature (London) 432, 733–737 (2004)CrossRefADSGoogle Scholar
  6. 6.
    A.V. Mamaev, M. Saffman, D.Z. Anderson, A.A. Zozulya, Phys. Rev. A. 54, 870–879 (1996)PubMedCrossRefADSGoogle Scholar
  7. 7.
    M. Centurion, Y. Pu, D. Psaltis, Opt. Exp. 13, 6202–6211 (2005)CrossRefADSGoogle Scholar
  8. 8.
    M. Saffman, G. McCarthy, W. Królikowski, J. Opt. B: Quantum Semiclass. Opt. 6, S397–S403 (2004)CrossRefADSGoogle Scholar
  9. 9.
    M.-F. Shih, C.-C. Jeng, F.-W. Sheu, C.-Y. Lin, Phys. Rev. Lett. 88, 133902-1–133902-4 (2002)Google Scholar
  10. 10.
    J. Meier, G.I. Stegeman, D.N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, J.S. Aitchison, Phys. Rev. Lett. 92, 163902-1–163902-4 (2004)Google Scholar
  11. 11.
    U. Streppel, D. Michaelis, R. Kowarschik, A. Bräuer, Phys. Rev. Lett. 95, 073901-1–073901-4 (2005)Google Scholar
  12. 12.
    D. Kip, M. Soljacic, M. Segev, E. Eugenieva, D.N. Christodoulides, Science. 290, 495–498 (2000)PubMedCrossRefADSGoogle Scholar
  13. 13.
    J. Klinger, H. Martin, C. Zhigang, Opt. Lett. 26, 271–273 (2001)PubMedCrossRefADSGoogle Scholar
  14. 14.
    D. Kip, M. Soljačic, M. Segev, S.M. Sears, D.N. Christodoulides, J. Opt. Soc. Am. B. 19, 502–512 (2002)CrossRefADSGoogle Scholar
  15. 15.
    Z. Chen, J. Klinger, D.D. Christodoulides, Phys. Rev. E 66, 066601-1–066601-5 (2002)Google Scholar
  16. 16.
    Z. Chen, K. McCarthy, Opt. Lett. 27, 2019–2021 (2002)PubMedCrossRefADSGoogle Scholar
  17. 17.
    M. Soljacic, M. Segev, T. Coskun, D.N. Christodoulides, A. Vishwanath, Phys. Rev. Lett. 84, 467–470 (2000)PubMedCrossRefADSGoogle Scholar
  18. 18.
    S.M. Sears, M. Soljačić, D.N. Christodoulides, S. Mordechai, Phys. Rev. E 65, 036620-1–036620-9 (2002)Google Scholar
  19. 19.
    M. Mitchell, M. Segev, Nature (London) 387, 880–883 (1997)CrossRefADSGoogle Scholar
  20. 20.
    T. Schwartz, T. Carmon, H. Buljan, M. Segev, Phys. Rev. Lett. 93, 223901-1–223901-4 (2004)Google Scholar
  21. 21.
    S. Trillo, W. Torruellas (eds.), Spatial solitons (Springer, New York, 2001) pp. 87–125Google Scholar
  22. 22.
    H. Buljan, A. Šiber, M. Soljačić, T. Schwartz, M. Segev, D.N. Christodoulides, Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 68(3 pt 2), 036607–036612 (2003)PubMedADSGoogle Scholar
  23. 23.
    H. Buljan, M. Segev, M. Soljačič, N.K. Efremidis, D.N. Christodoulides, Opt. Lett. 28(14), 1239–1241 (2003)PubMedCrossRefADSGoogle Scholar
  24. 24.
    A.W. Snyder, D. Mitchell, J. Phys. Rev. Lett. 80(7), 1422–1424 (1998)CrossRefADSGoogle Scholar
  25. 25.
    M. Shen, Q. Wang, J. Shi, Y. Chen, X. Wang, Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 72(2 pt 2), 026604–026613 (2005)PubMedADSGoogle Scholar
  26. 26.
    S.A. Ponomarenko, N.M. Litchinitser, G.P. Agrawal, Phys. Rev. E Stat. Nonlin. Soft Matter Phys. 70(1 pt 2), 015603–015606 (2004)PubMedADSGoogle Scholar
  27. 27.
    R. Pezer, H. Buljan, G. Bartal, M. Segev, J.W. Fleischer, Phys. Rev. E Stat Stat. Nonlin. Soft Matter Phys. 73(5–2), 056608–056616 (2006)ADSGoogle Scholar
  28. 28.
    H. Buljan, A. Šiber, M. Soljačić, M. Segev, Phys. Rev. E 66, 035601-1–035601-4 (2002)Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Department of ChemistryMcMaster UniversityHamiltonCanada

Personalised recommendations