Title

Backward-Wave Propagation and Discrete Solitons in a Left-Handed Electrical Lattice

Roles

Student author: Sam Wheeler

Document Type

Article

Publication Date

2-28-2011

Department

Physics

Language

English

Publication Title

Physics Letters A

Abstract

We study experimentally, analytically and numerically the backward-wave propagation, and formation of discrete bright and dark solitons in a nonlinear electrical lattice. We observe experimentally that a focusing (defocusing) effect occurs above (below) a certain carrier frequency threshold, and backward-propagating bright (dark) discrete solitons are formed. We develop a discrete model emulating the relevant circuit and benchmark its linear properties against the experimental dispersion relation. Using a perturbation method, we derive a nonlinear Schrödinger equation, that predicts accurately the carrier frequency threshold. Finally, we use numerical simulations to corroborate our findings and monitor the space–time evolution of the discrete solitons.

Comments

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DOI

10.1016/j.physleta.2011.01.042

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