Quadratic solitons for negative effective second-harmonic diffraction as nonlocal solitons with periodic nonlocal response function

B. K. Esbensen*, M. Bache, W. Krolikowski, O. Bang

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    33 Citations (Scopus)

    Abstract

    We employ the formal analogy between quadratic and nonlocal solitons to investigate analytically the properties of solitons and soliton bound states in second-harmonic generation in the regime of negative diffraction or dispersion of the second harmonic. We show that in the nonlocal description this regime corresponds to a periodic nonlocal response function. We then use the strongly nonlocal approximation to find analytical solutions of the families of single bright solitons and their bound states in terms of Mathieu functions.

    Original languageEnglish
    Article number023849
    JournalPhysical Review A - Atomic, Molecular, and Optical Physics
    Volume86
    Issue number2
    DOIs
    Publication statusPublished - 28 Aug 2012

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