Weakly and strongly nonlinear waves in negative phase metamaterials

A. D. Boardman; P. Egan; R. C. Mitchell-Thomas; Y. G. Rapoport; N. J. King

doi:10.1117/12.797437

28 August 2008 Weakly and strongly nonlinear waves in negative phase metamaterials

A. D. Boardman, P. Egan, R. C. Mitchell-Thomas, Y. G. Rapoport, N. J. King

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Proceedings Volume 7029, Metamaterials: Fundamentals and Applications; 70291F (2008) https://doi.org/10.1117/12.797437
Event: NanoScience + Engineering, 2008, San Diego, California, United States

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.

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A. D. Boardman, P. Egan, R. C. Mitchell-Thomas, Y. G. Rapoport, and N. J. King "Weakly and strongly nonlinear waves in negative phase metamaterials", Proc. SPIE 7029, Metamaterials: Fundamentals and Applications, 70291F (28 August 2008); https://doi.org/10.1117/12.797437

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