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Nonlinear waves in hyperbolic metamaterials: focus on solitons and rogues
Author(s): A. D. Boardman; V. V. Grimalsky; T. Guo; B. Kibler; J. McNiff; I. Nefedov; Y. Rapoport; C. Argyropoulos; C. Valagiannopoulos
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Paper Abstract

The 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 reveals 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.

Paper Details

Date Published: 7 May 2018
PDF: 19 pages
Proc. SPIE 10671, Metamaterials XI, 106710L (7 May 2018); doi: 10.1117/12.2306937
Show Author Affiliations
A. D. Boardman, Univ. of Salford (United Kingdom)
V. V. Grimalsky, Univ. Autónoma del Estado de Morelos (Mexico)
T. Guo, Univ. of Nebraska-Lincoln (United States)
B. Kibler, Lab. Interdisciplinaire Carnot de Bourgogne, Univ. de Bourgogne, CNRS (France)
J. McNiff, Original Perspectives Ltd. (United Kingdom)
I. Nefedov, Aalto Univ. (Finland)
Y. Rapoport, Taras Shevchenko National Univ. of Kyiv (Ukraine)
C. Argyropoulos, Univ. of Nebraska-Lincoln (United States)
C. Valagiannopoulos, Nazarbayev Univ. (Kazakhstan)


Published in SPIE Proceedings Vol. 10671:
Metamaterials XI
Allan D. Boardman; Anatoly V. Zayats; Kevin F. MacDonald, Editor(s)

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