Nonlinear waves in hyperbolic metamaterials: focus on solitons and rogues

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dc.contributor.authorBoardman, A.D.
dc.contributor.authorGrimalsky, V.V.
dc.contributor.authorGuo, T.
dc.contributor.authorKibler, B.
dc.contributor.authorMcNiff, J.
dc.contributor.authorNefedov, I.
dc.contributor.authorRapoport, Y.
dc.contributor.authorArgyropoulos, C.
dc.contributor.authorValagiannopoulos, Constantinos
dc.date.accessioned2018-05-28T04:57:51Z
dc.date.available2018-05-28T04:57:51Z
dc.date.issued2018-05-07
dc.description.abstractThe investigation of hyperbolic metamaterials, shows that metal layers that are part of graphene structures, and also types I and II layered systems, are readily controlled. Since graphene is a nicely conducting sheet it can be easily managed. The literature only eveals a, limited, systematic, approach to the onset of nonlinearity, especially for the methodology based around the famous nonlinear Schrödinger equation [NLSE]. This presentation reveals nonlinear outcomes involving solitons sustained by the popular, and more straightforward to fabricate, type II hyperbolic metamaterials. The NLSE for type II metatamaterials is developed and nonlinear, non-stationary diffraction and dispersion in such important, and active, planar hyperbolic metamaterials is developed. For rogue waves in metamaterials only a few recent numerical studies exist. The basic model assumes a uniform background to which is added a time-evolving perturbation in order to witness the growth of nonlinear waves out of nowhere. This is discussed here using a new NLSE appropriate to hyperbolic metamaterials that would normally produce temporal solitons. The main conclusion is that new pathways for rogue waves can emerge in the form of Peregrine solitons (and near-Peregrines) within a nonlinear hyperbolic metamaterial, based upon double negative guidelines, and where, potentially, magnetooptic control could be practically exerted.en_US
dc.identifier.citationBoardman, A.D., Grimalsky, V.V., Guo, T., Kibler, B., McNiff, J., Nefedov, I., Rapoport, Y., Argyropoulos, C., Valagiannopoulos, C. (2018) Nonlinear waves in hyperbolic metamaterials: focus on solitons and rogues. Proc. SPIE 10671, Metamaterials XI, 106710L (7 May 2018).en_US
dc.identifier.urihttp://nur.nu.edu.kz/handle/123456789/3185
dc.language.isoenen_US
dc.publisherNazarbayev University School of Science and Technologyen_US
dc.rightsAttribution-NonCommercial-ShareAlike 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/us/*
dc.subjectnonlinear wavesen_US
dc.subjecthyperbolicen_US
dc.subjectsolitonsen_US
dc.subjectroguesen_US
dc.subjectResearch Subject Categories::NATURAL SCIENCES::Physicsen_US
dc.titleNonlinear waves in hyperbolic metamaterials: focus on solitons and roguesen_US
dc.typeArticleen_US
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