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Proceedings Paper

Two- and three-dimensional light bullets in a Kerr medium with dispersion management
Author(s): Michał Matuszewski; Eryk Infeld; Boris A. Malomed; A. A. Skorupski; Marek Trippenbach
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Paper Abstract

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 Schrodinger 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.

Paper Details

Date Published: 5 October 2005
PDF: 11 pages
Proc. SPIE 5949, Nonlinear Optics Applications, 594905 (5 October 2005); doi: 10.1117/12.634071
Show Author Affiliations
Michał Matuszewski, Warsaw Univ. (Poland)
Eryk Infeld, Soltan Institute for Nuclear Studies (Poland)
Boris A. Malomed, Tel Aviv Univ. (Israel)
A. A. Skorupski, Soltan Institute for Nuclear Studies (Poland)
Marek Trippenbach, Warsaw Univ. (Poland)
Soltan Institute for Nuclear Studies (Poland)


Published in SPIE Proceedings Vol. 5949:
Nonlinear Optics Applications
Miroslaw A. Karpierz; Allan Dawson Boardman; George I. Stegeman, Editor(s)

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