Parametric localized modes in quadratic nonlinear photonic structures

Andrey A. Sukhorukov, Yuri S. Kivshar, Ole Bang, Costas M. Soukoulis

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    Abstract

    We analyze two-color spatially localized nonlinear modes formed by parametrically coupled fundamental and second-harmonic fields excited at quadratic (or chi2) nonlinear interfaces embedded in a linear layered structure-a quadratic nonlinear photonic crystal. For a periodic lattice of nonlinear interfaces, we derive an effective discrete model for the amplitudes of the fundamental and second-harmonic waves at the interfaces (the so-called discrete chi2 equations) and find, numerically and analytically, the spatially localized solutions-discrete gap solitons. For a single nonlinear interface in a linear superlattice, we study the properties of two-color localized modes, and describe both similarities to and differences from quadratic solitons in homogeneous media.
    Original languageEnglish
    JournalPhysical Review E. Statistical, Nonlinear, and Soft Matter Physics
    Volume63
    Issue number1
    Pages (from-to)9
    ISSN1063-651X
    DOIs
    Publication statusPublished - 2001

    Bibliographical note

    Copyright (2001) American Physical Society

    Keywords

    • SYSTEMS
    • CRYSTAL
    • WAVE-PROPAGATION
    • LATTICES
    • LIGHT
    • 2ND-HARMONIC GENERATION
    • BAND-GAP MATERIALS
    • SOLITONS
    • TRANSMISSION

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