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Proceedings Paper

Weakly and strongly nonlinear waves in negative phase metamaterials
Author(s): A. D. Boardman; P. Egan; R. C. Mitchell-Thomas; Y. G. Rapoport; N. J. King
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Paper Abstract

A fundamental approach to a slowly varying amplitude formulation for nonlinear waves in metamaterials will be established. The weakly nonlinear slowly varying amplitude approach will be critically examined and some misunderstandings in the literature will be fully addressed. The extent to which negative phase behaviour has a fundamental influence upon soliton behaviour will be exposed. The method will deploy nonlinear diffraction and a special kind of diffraction-management. This is additional to a detailed modulation instability analysis. The examples given involve waveguide coupling and a nonlinear interferometer. In addition, a strongly nonlinear approach will be taken that seeks exact solutions to the nonlinear equations for a metamaterial. A boundary field amplitude approach will be developed that leads to useful eigenvalue equations that expose, in a very clear manner, the possibility that new kinds of waves can be generated.

Paper Details

Date Published: 28 August 2008
PDF: 14 pages
Proc. SPIE 7029, Metamaterials: Fundamentals and Applications, 70291F (28 August 2008); doi: 10.1117/12.797437
Show Author Affiliations
A. D. Boardman, Univ. of Salford (United Kingdom)
P. Egan, Univ. of Salford (United Kingdom)
R. C. Mitchell-Thomas, Univ. of Salford (United Kingdom)
Y. G. Rapoport, Univ. of Salford (United Kingdom)
N. J. King, Univ. of Salford (United Kingdom)


Published in SPIE Proceedings Vol. 7029:
Metamaterials: Fundamentals and Applications
Mikhail A. Noginov; Nikolay I. Zheludev; Allan D. Boardman; Nader Engheta, Editor(s)

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