Transmission of nonlinear localized modes through waveguide bends

Maria Agrotis, Panayotis G. Kevrekidis, Boris A. Malomed*

*Corresponding author for this work

Research output: Contribution to journalConference articlepeer-review

1 Scopus citations


In a recent work, a model for a bend of a nonlinear waveguide in planar geometry was introduced [Yu.S. Kivshar, P.G. Kevrekidis, S. Takeno, Phys. Lett. 307 (2003) 287]. Motivated by photonic-crystal waveguides, we examine transmission of localized pulses through the bend, and identify outcomes of the interaction of a moving pulse with the bend, as a function of the bend's strength and the initial velocity of the pulse. Comparisons with the linear counterpart of the model are also discussed. Some features, such as transition from capture to reflection, may be explained by an analytical perturbation theory based on the quasi-continuum approximation.

Original languageEnglish
Pages (from-to)223-234
Number of pages12
JournalMathematics and Computers in Simulation
Issue number3-4
StatePublished - 24 Jun 2005
EventNonlinear Waves: Computation and Theory III -
Duration: 7 Apr 200310 Apr 2003


FundersFunder number
National Science FoundationDMS-0204585
University of Massachusetts
Eppley Foundation for Research


    • Discrete nonlinear Schroedinger equation
    • Dynamical lattice
    • Photonic crystal
    • Soliton


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