Two-dimensional dispersion-managed light bullets in Kerr media

M. Matuszewski, M. Trippenbach, B. A. Malomed, E. Infeld, and A. A. Skorupski
Phys. Rev. E 70, 016603 – Published 7 July 2004

Abstract

We propose a scheme for stabilizing spatiotemporal solitons (STSs) 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 two-dimensional (2D) STS (corresponding to a planar waveguide) is identified. At the borders between this region and that of decay of the solitons, a more sophisticated stable object, in the form of a periodically oscillating bound state of two subpulses, is also found. In the 3D case (bulk medium), all the spatiotemporal pulses spread out or collapse.

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  • Received 5 February 2004

DOI:https://doi.org/10.1103/PhysRevE.70.016603

©2004 American Physical Society

Authors & Affiliations

M. Matuszewski1, M. Trippenbach1, B. A. Malomed2, E. Infeld3, and A. A. Skorupski3

  • 1Physics Department, Warsaw University, Hoża 69, PL-00-681 Warsaw, Poland and Soltan Institute for Nuclear Studies, Hoża 69, PL-00-681 Warsaw, Poland
  • 2Department of Interdisciplinary Sciences, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel
  • 3Physics Department, Warsaw University, Hoża 69, PL-00-681 Warsaw, Poland

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Vol. 70, Iss. 1 — July 2004

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