Backward-wave propagation and discrete solitons in a left-handed electrical lattice

被引：59

作者：

English, L. Q. ^{[2
]}

Wheeler, S. G. ^{[2
]}

Shen, Y. ^{[1
]}

Veldes, G. P. ^{[3
]}

Whitaker, N. ^{[1
]}

Kevrekidis, P. G. ^{[1
]}

Frantzeskakis, D. J. ^{[3
]}

机构：

[1] Univ Massachusetts, Dept Math & Stat, Amherst, MA 01003 USA

[2] Dickinson Coll, Dept Phys & Astron, Carlisle, PA 17013 USA

[3] Univ Athens, Dept Phys, Athens 15784, Greece

来源：

PHYSICS LETTERS A | 2011年 / 375卷 / 09期

基金：

美国国家科学基金会;

关键词：

NEGATIVE REFRACTIVE-INDEX; TRANSMISSION-LINE; NONLINEAR PROPERTIES; GENERATION; MEDIA;

D O I：

10.1016/j.physleta.2011.01.042

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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 Schrodinger 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. (C) 2011 Elsevier B.V. All rights reserved.

引用

页码：1242 / 1248

页数：7

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