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Nonlinear Sciences > Pattern Formation and Solitons

arXiv:nlin/0302035 (nlin)
[Submitted on 14 Feb 2003]

Title:Light bullets in quadratic media with normal dispersion at the second harmonic

Authors:I. N. Towers, B. A. Malomed, F. W. Wise
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Abstract: Stable two- and three-dimensional spatiotemporal solitons (STSs) in second-harmonic-generating media are found in the case of normal dispersion at the second harmonic (SH). This result, surprising from the theoretical viewpoint, opens a way for experimental realization of STSs. An analytical estimate for the existence of STSs is derived, and full results, including a complete stability diagram, are obtained in a numerical form. STSs withstand not only the normal SH dispersion, but also finite walk-off between the harmonics, and readily self-trap from a Gaussian pulse launched at the fundamental frequency.
Comments: 4 pages, 5 figures, accepted to Phys. Rev. Lett
Subjects: Pattern Formation and Solitons (nlin.PS)
Cite as: arXiv:nlin/0302035 [nlin.PS]
  (or arXiv:nlin/0302035v1 [nlin.PS] for this version)
  https://doi.org/10.48550/arXiv.nlin/0302035
Related DOI: https://doi.org/10.1103/PhysRevLett.90.123902

Submission history

From: I. N. Towers [view email]
[v1] Fri, 14 Feb 2003 04:06:04 UTC (348 KB)
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