Control of nonlinear collapse in magnetooptical Kerr media


  • Katarzyna Agnieszka Rutkowska Warsaw University of Technology
  • Yoav Linzon INRS-EMT, University of Quebec
  • Boris A. Malomed Faculty of Engineering, Tel Aviv University
  • Roberto Morandotti INRS-EMT, University of Quebec



We demonstrate a novel approach to the control of the collapse of optical beams in Kerr media. To this end, we consider a combination of two magnetooptical (MO) phenomena, the Cotton-Mouton and Faraday effects, in order to introduce a suitable and tunable interplay between the induced linear and circular birefringences. Our numerical analysis confirms that a properly applied external magnetic field may alter the dynamics of the beam propagation in magnetic self-focusing bulk Kerr media. For a chosen value of the optical power, the acceleration, the delay or even the arrest of the collapse can be achieved. We demonstrate experimentally the magnetically-induced acceleration of the collapse in a ferrimagnetic yttrium iron garnet crystal (YIG).

Full Text: PDF

  1. R.W. Boyd, Nonlinear optics (San Diego, Academic Press 2008). C. Sulem, P.L. Sulem, The nonlinear Schrodinger equation: self-focusing and wave collapse (New York, Springer 1999).
  2. L. Berge, "Wave collapse in physics: principles and applications to light and plasma waves", Phys. Rep. 303, 259 (1998).[CrossRef]
  3. Y.S. Kivshar, D.E. Pelinovsky, "Self-focusing and transverse instabilities of solitary waves", Phys. Rep. 331, 117 (2000).[CrossRef]
  4. B.A. Malomed, D. Mihalache, F. Wise, and L. Torner, "Spatiotemporal optical solitons", J. Optics B: Quant. Semicl. Opt. 7, R53 (2005).[CrossRef]
  5. M. Peccianti, K.A. Brzdakiewicz, G. Assanto, "Nonlocal spatial soliton interactions in nematic liquid crystals", Opt. Lett. 27, 1460 (2002);[CrossRef]
  6. O. Bang, W. Krolikowski, J. Wyller, J.J. Rasmussen, "Collapse arrest and soliton stabilization in nonlocal nonlinear media", Phys. Rev. E 66, 046619 (2002).[CrossRef]
  7. R. Kurzynowski, W.A. Woźniak, "Superposition rule for the magneto-optic effects in isotropic media", Optik 115, 473 (2004).[CrossRef]
  8. A.K. Zvezdin, V.A. Kotov, Modern Magnetooptics and Magneto-optical Materials (New York, Taylor and Francis 1997).
  9. Y. Linzon, K.A. Rutkowska, B.A. Malomed, R. Morandotti, "Magneto-optical Control of Light Collapse in Bulk Kerr Media", Phys. Rev. Lett. 103, 053902 (2009).[CrossRef]
  10. B.A. Malomed, in Progress in Optics 43, 71 (E. Wolf, North Holland, Amsterdam, 2002).
  11. R.Y. Chiao, E. Garmire, C.H. Townes, "Self-Trapping of Optical Beams", Phys. Rev. Lett. 13, 479 (1964).[CrossRef]

Author Biography

Katarzyna Agnieszka Rutkowska, Warsaw University of Technology

Faculty of Physics




How to Cite

Rutkowska, K. A., Linzon, Y., Malomed, B. A., & Morandotti, R. (2009). Control of nonlinear collapse in magnetooptical Kerr media. Photonics Letters of Poland, 1(4), pp. 166–168. lett. pl.v1i4.66