Asymmetric Wave Propagation in Nonlinear Systems

Details Asymmetric Wave Propagation in Nonlinear Systems Asymmetric Wave Propagation in Nonlinear Systems

2011-03-24

arxiv.org/abs/1103.4802v1

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

Nonlinear Sciences

Pattern Formation and Solitons

Scientific paper

10.1103/PhysRevLett.106.164101

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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