Nonlinear waves in hyperbolic metamaterials: Focus on solitons and rogues

A. D. Boardman, V. V. Grimalsky, T. Guo, B. Kibler, J. McNiff, I. Nefedov, Y. Rapoport, C. Argyropoulos, C. Valagiannopoulos

Research output: Chapter in Book/Report/Conference proceedingConference contribution


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.

Original languageEnglish (US)
Title of host publicationMetamaterials XI
EditorsAnatoly V. Zayats, Allan D. Boardman, Kevin F. MacDonald
ISBN (Electronic)9781510618688
StatePublished - 2018
EventMetamaterials XI 2018 - Strasbourg, France
Duration: Apr 23 2018Apr 26 2018

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
ISSN (Print)0277-786X
ISSN (Electronic)1996-756X


ConferenceMetamaterials XI 2018

All Science Journal Classification (ASJC) codes

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering


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