Hyperbolic shock waves of the optical self-focusing with normal group-velocity dispersion.

Academic Article


  • The theory of focusing light pulses in Kerr media with normal group-velocity dispersion in (2+1) and (3+1) dimensions is revisited. It is shown that pulse splitting introduced by this dispersion follows from shock fronts that develop along hyperbolas separating the region of transverse self-focusing from the domain of temporal dispersion. Justified by a self-similar approach, this property is confirmed by numerical simulations using an adaptive-mesh refinement code.
  • Authors

  • Bergé, L
  • Germaschewski, Kai
  • Grauer, R
  • Rasmussen, J Juul
  • Status

    Publication Date

  • October 7, 2002
  • Has Subject Area

    Published In

    Digital Object Identifier (doi)

    Pubmed Id

  • 12365988
  • Start Page

  • 153902
  • Volume

  • 89
  • Issue

  • 15