Self-focusing and solitonlike structures in materials with competing quadratic and cubic nonlinearities

L. Bergé, O. Bang, J. Juul Rasmussen, V.K. Mezentsev

    Research output: Contribution to journalJournal articleResearch

    Abstract

    We study the mutual influence of quadratic and cubic nonlinearities on the propagation of the coupled fundamental and second harmonic waves in asymmetric optical media. For attractive potentials with positive coupling parameters, it is shown that, in systems with two and three transverse dimensions, mutually trapped waves can self-focus until collapse whenever their respective powers exceed some thresholds. On the contrary, coupled waves diffracting in a one-dimensional plane never collapse and may evolve towards stable solitonlike structures. For higher transverse dimension numbers, we investigate the question of forming two-component solitons and determine criteria for their stability.
    Original languageEnglish
    JournalPhysical Review E
    Volume55
    Issue number3
    Pages (from-to)3555-3570
    ISSN1063-651X
    DOIs
    Publication statusPublished - 1997

    Fingerprint Dive into the research topics of 'Self-focusing and solitonlike structures in materials with competing quadratic and cubic nonlinearities'. Together they form a unique fingerprint.

    Cite this