Please use this identifier to cite or link to this item: https://doi.org/10.1103/PhysRevLett.106.164101
Title: Asymmetric wave propagation in nonlinear systems
Authors: Lepri, S.
Casati, G. 
Issue Date: 18-Apr-2011
Citation: Lepri, S., Casati, G. (2011-04-18). Asymmetric wave propagation in nonlinear systems. Physical Review Letters 106 (16) : -. ScholarBank@NUS Repository. https://doi.org/10.1103/PhysRevLett.106.164101
Abstract: A mechanism for asymmetric (nonreciprocal) wave transmission is presented. As a reference system, we consider a layered nonlinear, nonmirror-symmetric model described by the one-dimensional discrete nonlinear Schrödinger equation with spatially varying coefficients embedded in an otherwise linear lattice. We construct a class of exact extended solutions such that waves with the same frequency and incident amplitude impinging from left and right directions have very different transmission coefficients. This effect arises already for the simplest case of two nonlinear layers and is associated with the shift of nonlinear resonances. Increasing the number of layers considerably increases the complexity of the family of solutions. Finally, numerical simulations of asymmetric wave packet transmission are presented which beautifully display the rectifying effect. © 2011 American Physical Society.
Source Title: Physical Review Letters
URI: http://scholarbank.nus.edu.sg/handle/10635/112383
ISSN: 00319007
DOI: 10.1103/PhysRevLett.106.164101
Appears in Collections:Staff Publications

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