Bistable solitons in colloidal media


  • Michał Matuszewski Australian National University
  • Wiesiek Krolikowski Australian National University
  • Yuri S. S. Kivshar Australian National University



We study nonlinear light propagation in colloidal suspensions of dielectric nanoparticles within the hard-sphere interaction approximation. We analyze the existence and properties of self-trapped beams (spatial optical solitons) in such media and demonstrate the existence of a bistability regime in the one-dimensional case. We find however that the lower stable branch disappears in the two-dimensional model.

Full Text: PDF

  1. Y. S. Kivshar and G. P. Agrawal, Optical Solitons: From Fibers to Photonic Crystals (Academic Press, San Diego, 2003)
  2. A. Ashkin, J. M. Dziedzic, and P. W. Smith,"Continuous-wave self-focusing and self-trapping of light in artificial Kerr media", Opt. Lett. 7, 276 (1982) [CrossRef]
  3. R. Gordon, J. T. Blakely, and D. Sinton,"Particle-optical self-trapping", Phys. Rev. A 75, 055801 (2007) [CrossRef]
  4. R. El-Ganainy, D. N. Christodoulides, C. Rotschild, and M. Segev,"Soliton dynamics and self-induced transparency in nonlinear nanosuspensions", Opt. Express 15, 10207 (2007) [CrossRef]
  5. M. Matuszewski, W. Krolikowski, and Y. S. Kivshar,"Spatial solitons and light-induced instabilities in colloidal media", Opt. Express 16, 1371 (2008) [CrossRef]
  6. A. E. Kaplan,"Bistable Solitons", Phys. Rev. Lett. 55, 1291 (1985) [CrossRef]
  7. S. L. Eix and R. H. Enns,"Optical switching between bistable soliton states of the second kind", Phys. Rev. A 47, 5009 (1993) [CrossRef]
  8. M. Matuszewski, W. Krolikowski, and Y. S. Kivshar,"Soliton interactions and transformations in colloidal media", Phys. Rev. A 79, 023814 (2009) [CrossRef]
  9. J.-P. Hansen and I. R. McDonald, Theory of Simple Liquids, 3rd ed. (Elsevier, Amsterdam, 2006)
  10. R. H. Enns, S. S. Rangnekar, and A. E. Kaplan,"Bistable-soliton pulse propagation: Stability aspects", Phys. Rev. A 36, 1270 (1987) [CrossRef]
  11. G. I. Stegeman and M. Segev,"Optical Spatial Solitons and Their Interactions: Universality and Diversity", Science 286, 1518 (1999) [CrossRef]
  12. Yu. S. Kivshar, Zhang Fei, and L. Vázquez,"Resonant soliton-impurity interactions", Phys. Rev. Lett. 67, 1177 (1991) [CrossRef]
  13. R. H. Goodman, P. J. Holmes, and M. I. Weinstein,"Strong NLS soliton?defect interactions", Physica D192, 215 (2004) [CrossRef]
  14. C. Lee and J. Brand,"Enhanced quantum reflection of matter-wave solitons", Europhys. Lett. 73, 321(2006) [CrossRef]
  15. L. Berge,"Wave collapse in physics: principles and applications to light and plasma waves", Phys. Rep. 303, 259 (1998) [CrossRef]

Author Biography

Wiesiek Krolikowski, Australian National University

PhD, DSc, professor at Warsaw University of Technology. Field of interest: nonlinear optics and photonics. Member of the SPIE, OSA, Polish Physical Society, Photonics Society of Poland.




How to Cite

Matuszewski, M., Krolikowski, W., & S. Kivshar, Y. S. (2009). Bistable solitons in colloidal media. Photonics Letters of Poland, 1(1), pp. 4–6. lett. pl.v1i1.21