Geometry and transport in a model of two coupled quadratic nonlinear waveguides

James R. Stirling, Ole Bang, Peter Leth Christiansen, Maria S. Zakynthianaki, Steffen Kjær Johansen

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    Abstract

    This paper applies geometric methods developed to understand chaos and transport in Hamiltonian systems to the study of power distribution in nonlinear waveguide arrays. The specific case of two linearly coupled X(2) waveguides is modeled and analyzed in terms of transport and geometry in the phase space. This gives us a transport problem in the phase space resulting from the coupling of the two Hamiltonian systems for each waveguide. In particular, the effect of the presence of partial and complete barriers in the phase space on the transfer of intensity between the waveguides is studied, given a specific input and range of material properties. We show how these barriers break down as the coupling between the waveguides is increased and what the role of resonances in the phase space has in this. We also show how an increase in the coupling can lead to chaos and global transport and what effect this has on the intensity. ©2008 American Institute of Physics
    Original languageEnglish
    JournalChaos
    Volume18
    Issue number1
    Pages (from-to)013116
    Number of pages13,116
    ISSN1054-1500
    DOIs
    Publication statusPublished - 2008

    Bibliographical note

    Copyright (2008) American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and the American Institute of Physics.

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