Higher-order effects and ultrashort solitons in left-handed metamaterials

N. L. Tsitsas, N. Rompotis, I. Kourakis, P. G. Kevrekidis, and D. J. Frantzeskakis
Phys. Rev. E 79, 037601 – Published 19 March 2009

Abstract

Starting from Maxwell’s equations, we use the reductive perturbation method to derive a second-order and a third-order nonlinear Schrödinger equation, describing ultrashort solitons in nonlinear left-handed metamaterials. We find necessary conditions and derive exact bright and dark soliton solutions of these equations for the electric and magnetic field envelopes.

    • Received 26 August 2008

    DOI:https://doi.org/10.1103/PhysRevE.79.037601

    ©2009 American Physical Society

    Authors & Affiliations

    N. L. Tsitsas1, N. Rompotis2, I. Kourakis3, P. G. Kevrekidis4, and D. J. Frantzeskakis5

    • 1School of Applied Mathematical and Physical Sciences, National Technical University of Athens, Zografos, Athens 15773, Greece
    • 2Department of High Energy Physics, The Blackett Laboratory, Imperial College, London SW7 2BW, United Kingdom
    • 3Centre for Plasma Physics, Queen’s University Belfast, Belfast BT7 1 NN, Northern Ireland, United Kingdom
    • 4Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515, USA
    • 5Department of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 15784, Greece

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    Issue

    Vol. 79, Iss. 3 — March 2009

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