Nonreciprocal Wave Propagation Through Open, Discrete Nonlinear Schrödinger Dimers (Contributo in volume (capitolo o saggio))

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Label
  • Nonreciprocal Wave Propagation Through Open, Discrete Nonlinear Schrödinger Dimers (Contributo in volume (capitolo o saggio)) (literal)
Anno
  • 2014-01-01T00:00:00+01:00 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#doi
  • 10.1007/978-3-319-02057-0_3 (literal)
Alternative label
  • Stefano Lepri (1); Giulio Casati (2,3) (2014)
    Nonreciprocal Wave Propagation Through Open, Discrete Nonlinear Schrödinger Dimers
    Springer International Publishing, CH-6330 Cham (ZG) (Svizzera) in Localized Excitations in Nonlinear Complex Systems: Current State of the Art and Future Perspectives, 2014
    (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#autori
  • Stefano Lepri (1); Giulio Casati (2,3) (literal)
Pagina inizio
  • 63 (literal)
Pagina fine
  • 75 (literal)
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  • Part I: Nonlinear Schrödinger Models: Continuum and Discrete. (literal)
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  • http://link.springer.com/book/10.1007%2F978-3-319-02057-0 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#titoloVolume
  • Localized Excitations in Nonlinear Complex Systems: Current State of the Art and Future Perspectives (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#volumeInCollana
  • 7_Chapter_3 (literal)
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  • 13 (literal)
Note
  • Google Scholar (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#affiliazioni
  • (1) Consiglio Nazionale delle Ricerche, Istituto dei Sistemi Complessi, via Madonna del piano 10, I-50019 Sesto Fiorentino, Italy (2) Center for Nonlinear and Complex Systems, Università degli Studi dell'Insubria, Como, Italy (3) Istituto Nazionale di Fisica Nucleare, Sezione di Milano, Milan, Italy (literal)
Titolo
  • Nonreciprocal Wave Propagation Through Open, Discrete Nonlinear Schrödinger Dimers (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#isbn
  • 978-3-319-02056-3 (literal)
Http://www.cnr.it/ontology/cnr/pubblicazioni.owl#curatoriVolume
  • Eds. Ricardo Carretero-González, ... [et al.] (literal)
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. (literal)
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