Two- And three-dimensional light bullets in a Kerr medium with dispersion management

Michał Matuszewski*, Eryk Infeld, Boris A. Malomed, A. A. Skorupski, Marek Trippenbach

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review


In this paper we treat two and three dimensional light bullets by somewhat different methods. In both cases stability is achieved for some parameters. In the first case we propose a scheme for stabilizing spatiotemporal solitons (STS) in media with cubic self-focusing nonlinearity and "dispersion management", i.e., a layered structure inducing periodically alternating normal and anomalous group-velocity dispersion. We develop a variational approximation for the STS, and verify results by direct simulations. A stability region for the 2D (two-dimensional) STS is identified. A new stable object, in the form of a periodically oscillating bound state of two subpulses, is also found. We go on to also demonstrate a possibility to stabilize fully three-dimensional spatiotemporal solitons ("light bullets") in the same self-focusing Kerr media by means of a combination of dispersion management in the longitudinal direction and periodic modulation of the refractive index in one of the transverse directions. Assuming the usual model based on the paraxial nonlinear Schrödinger equation for the local amplitude of the electromagnetic field, the analysis relies upon the variational approximation. A predicted stability area is identified in the model's parameter space.

Original languageEnglish
Article number594905
Pages (from-to)1-11
Number of pages11
JournalProceedings of SPIE - The International Society for Optical Engineering
StatePublished - 2005
EventNonlinear Optics Applications - Warsaw, Poland
Duration: 31 Aug 20052 Sep 2005


  • Dispersion management
  • Kerr media
  • Light bullets
  • Solitons


Dive into the research topics of 'Two- And three-dimensional light bullets in a Kerr medium with dispersion management'. Together they form a unique fingerprint.

Cite this