Waves in hyperbolic and double negative metamaterials including rogues and solitons

Abstract

The topics here deal with some current progress in electromagnetic wave propagation in a family of substances known as metamaterials. To begin with, it is discussed how a pulse can develop a leading edge that steepens and it is emphasised that such self-steepening is an important inclusion within a metamaterial environment together with Raman scattering and third-order dispersion whenever very short pulses are being investigated. It is emphasised that the self-steepening parameter is highly metamaterial-driven compared to Raman scattering, which is associated with a coefficient of the same form whether a normal positive phase, or a metamaterial waveguide is the vehicle for any soliton propagation. It is also shown that the influence of magnetooptics provides a beautiful and important control mechanism for metamaterial devices and that, in the future, this feature will have a significant impact upon the design of data control systems for optical computing. A major objective is fulfiled by the investigations of the fascinating properties of hyperbolic media that exhibit asymmetry of supported modes due to the tilt of optical axes. This is a topic that really merits elaboration because structural and optical asymmetry in optical components that end up manipulating electromagnetic waves is now the foundation of how to operate some of the most successful devices in photonics and electronics. It is pointed out, in this context, that graphene is one of the most famous plasmonic media with very low losses. It is a two-dimensional material that makes the implementation of an effectivemedium approximation more feasible. Nonlinear non-stationary diffraction in active planar anisotropic hyperbolic metamaterials is discussed in detail and two approaches are compared. One of them is based on the averaging over a unit cell, while the other one does not include sort of averaging. The formation and propagation of optical spatial solitons in hyperbolic metamaterials is also considered with a model of the response of hyperbolic metamaterials in terms of the homogenisation ('effective medium') approach. The model has a macroscopic dielectric tensor encompassing at least one negative eigenvalue. It is shown that light propagating in the presence of hyperbolic dispersion undergoes negative (anomalous) diffraction. The theory is ten broadened out to include the influence of the orientation of the optical axis with respect to the propagation wave vector. Optical rogue waves Nanotechnology Nanotechnology 28 (2017) 444001 (41pp) https://doi.org/10.1088/1361-6528/aa679211 Author to whom any correspondence should be addressed.0957-4484/17/444001+41$33.00 © 2017 IOP Publishing Ltd Printed in the UK 1 are discussed in terms of how they are influenced, but not suppressed, by a metamaterial background. It is strongly discussed that metamaterials and optical rogue waves have both been making headlines in recent years and that they are, separately, large areas of research to study. A brief background of the inevitable linkage of them i...

Nonlinear waves in hyperbolic metamaterials: focus on solitons and rogues

“…They can be stimulated in straightforward manner by opening up the NLSE using a constant background perturbed by a tiny periodic disturbance. This evolves to what is widely known as a Peregrine soliton 6 . The latter is named after Howell Peregrine, who, back in 1983, at the University of Bristol, looked brilliantly at these waves and found that they appear to come out of nowhere and then disappear quite suddenly again.…”

“…The study of rogue waves in metamaterials is currently at an early stage 6 , however. Only a few recent numerical studies, based on a transmission line model (with NLSE reduction) or a cubic-quintic NLSE can be found.…”

“…Electromagnetic wave propagation in metamaterials is an important area [1][2][3][4][5][6] . Indeed, it is a vital feature of a global revolution in science.…”

Strong coupling of collection of emitters on hyperbolic meta-material

“…Reviews dealing with wave propagation in hyperbolic metamaterials and applications are given in Refs. [58][59][60]. In this work we investigate if HMM could provide a good platform for realizing the strong coupling regime using the collective excitations of emitters.…”

Polaritons and diffraction on the layer of asymmetric hyperbolic metamaterial

“…For p-polarization in vacuum movement for E-PP requires the solution of DE and the calculation of the integral from z over infinite cross section, which is a more complicated procedure. In addition, the formula(20) is written for an infinite sample, and then it is possible to substitute any of the two values  x k of(6). For the final sample, two waves in the transverse direction should be taken into account and their determined amplitudes (see below), which further complicates the task.…”