Stationary scattering from a nonlinear network

Sven Gnutzmann, Uzy Smilansky, Stanislav Derevyanko

    Research output: Contribution to journalArticlepeer-review


    Transmission through a complex network of nonlinear one-dimensional leads is discussed by extending the stationary scattering theory on quantum graphs to the nonlinear regime. We show that the existence of cycles inside the graph leads to a large number of sharp resonances that dominate scattering. The latter resonances are then shown to be extremely sensitive to the nonlinearity and display multistability and hysteresis. This work provides a framework for the study of light propagation in complex optical networks.
    Original languageEnglish
    Article number033831
    Number of pages6
    JournalPhysical Review A
    Issue number3
    Publication statusPublished - 28 Mar 2011

    Bibliographical note

    ©2011 American Physical Society


    • transmission
    • complex network
    • nonlinear one-dimensional leads
    • quantum graphs


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