Nonreciprocal Wave Propagation Through Open, Discrete Nonlinear Schrödinger Dimers View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2014

AUTHORS

Stefano Lepri , Giulio Casati

ABSTRACT

We consider asymmetric (nonreciprocal) wave transmission through a layered nonlinear, non mirror-symmetric system described by the one-dimensional Discrete Nonlinear Schrödinger equation with spatially varying coefficients embedded in an otherwise linear lattice. Focusing on the simplest case of two nonlinear sites (the dimer), we compute exact scattering solutions such that waves with the same frequency and incident amplitude impinging from left and right directions have different transmission coefficients. The stability of some particular solutions is addressed. We show that oscillatory instability may lead to the formation of stable extended states coexisting with a nonlinear defect mode oscillating at a different frequency. Numerical simulations of wave packet scattering are presented. Gaussian wave packets with the same amplitude arriving from opposite directions on the dimer are indeed trasmitted very differently. Moreover, asymmetric transmission is sensitively dependent on the input parameters, akin to the case of chaotic scattering. More... »

PAGES

63-75

References to SciGraph publications

  • 2011-07-24. Bifurcation-based acoustic switching and rectification in NATURE MATERIALS
  • 2010-12. An acoustic rectifier in NATURE MATERIALS
  • Book

    TITLE

    Localized Excitations in Nonlinear Complex Systems

    ISBN

    978-3-319-02056-3
    978-3-319-02057-0

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-3-319-02057-0_3

    DOI

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    DIMENSIONS

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