Solitons in negative phase metamaterials

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

doi:10.1117/12.785596

6 May 2008 Solitons in negative phase metamaterials

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

Proceedings Volume 6987, Metamaterials III; 69871D (2008) https://doi.org/10.1117/12.785596
Event: SPIE Photonics Europe, 2008, Strasbourg, France

Abstract

The 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 addressed and will include non-paraxiality, self-steepening and nonlinear diffraction. A Lagrangian approach will be presented as a way of developing a clear picture of dynamical behaviour. Exciting examples, involving waveguide and polarization coupling and interferometer systems will illustrate the extent to which non-paraxiality, self-steepening and nonlinear diffraction will be required as part of the soliton behaviour patterns, including coupler systems. In addition, a strongly nonlinear approach will be taken that seeks exact solutions to the nonlinear equations for a metamaterial. The investigations will embrace "optical needles", or autosolitons. A boundary field amplitude approach will be developed that leads to useful and elegant eigenvalue equations that expose in a very clear manner the dependence of wave number upon the optical power density. All the work will be beautifully illustrated with dramatic color-coded outcomes that will also embrace the soliton lens.

Citation Download Citation

A. D. Boardman, R. C. Mitchell-Thomas, Y. G. Rapoport, P. Egan, and N. King "Solitons in negative phase metamaterials", Proc. SPIE 6987, Metamaterials III, 69871D (6 May 2008); https://doi.org/10.1117/12.785596

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