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Asymmetric Wave Propagation in Nonlinear Systems

2011/03/24 by Stefano Lepri, Giulio Casati · 6 citations
Physics and Astronomy · #Advanced Fiber Laser Technologies #Mechanical and Optical Resonators #Nonlinear Photonic Systems #nlin.PS

paper · pdf · doi:10.1103/physrevlett.106.164101

published as Phys. Rev. Lett. 106, 164101 (2011)

arxiv created 2011/03/24 · openalex publication_date 2011/04/18 · arxiv updated 2012/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A mechanism for asymmetric (nonreciprocal) wave transmission is presented. As a reference system, we consider a layered nonlinear, non mirror-symmetric model described by the one-dimensional Discrete Nonlinear Schreodinger 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 wavepacket transmission are presented which beautifully display the rectifying effect.

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