Pulse splitting in nonlinear media with anisotropic dispersion properties

L. Bergé, J. Juul Rasmussen, M.R. Schmidt

    Research output: Contribution to journalJournal article

    Abstract

    The nonlinear self-focusing of beams in media with anisotropic (mix-signed) dispersion is investigated. Theoretical predictions employing virial-type arguments and self-similar techniques suggest that a pulse propagating in a nonlinear medium with anisotropic dispersion will not collapse to a singularity in the transverse plane. Instead, the pulse spreads out along the direction of negative dispersion and splits up into small-scale cells, which may undergo further splitting events. The analytical results are supported by direct numerical solutions of the three dimensional cubic Schrodinger equation. The interaction of two wave beams is also investigated.
    Original languageEnglish
    JournalPhysica Scripta
    VolumeT75
    Pages (from-to)18-22
    ISSN0281-1847
    DOIs
    Publication statusPublished - 1998

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