Nonlinear transmission and spatiotemporal solitons in metamaterials with negative refraction

Abstract

We study one- and two-dimensional transmission of electromagnetic waves through a finite slab of a dielectric material with negative refraction. In the case when the dielectric slab possesses an intensitydependent nonlinear response, we observe the nonlinearity-induced wave transmission through an opaque slab accompanied by the generation of spatiotemporal solitons. We solve this problem numerically, by employing the finite-difference time-domain simulations, for the parameters of microstructured materials with the negative refractive index in the microwave region, but our results can be useful for a design of nonlinear metamaterials with the left-handed properties in other frequency range.

Spatiotemporal electromagnetic soliton and spatial ring formation in nonlinear metamaterials

“…In addition, both linear and nonlinear electromagnetic properties of MMs are engineerable, thus the manipulation of electromagnetic or light waves in MMs will be more desirable. Since 2005, some dynamical models for describing ultrashort pulse propagation in MMs with a cubic nonlinear polarization and/or a nonlinear magnetization have been established [18][19][20][21][22], several intriguing and counterintuitive nonlinear phenomena associated with pulse propagation and modulation instability have been disclosed [18][19][20][21][22][23][24][25], and various soliton phenomena and physics have been demonstrated [18][19][20][21][22][26][27][28][29][30][31][32][33][34].…”

Tunable split-ring resonators for nonlinear negative-index metamaterials

“…[12,13] and developed extensively in Refs. [14,15,16,17,18,19,20,21] where many interesting nonlinear metamaterials effects have been predicted theoretically. The main reason for the expectation of strong nonlinear effects in metamaterials is that the microscopic electric field in the vicinity of the metallic particles forming the left-handed structure can be much higher than the macroscopic electric field carried by the propagating wave.…”

Temporal soliton excitation in an ε-near-zero plasmonic metamaterial

“…The relatively recent advent of metamaterials has triggered a great deal of new research activity aimed at the study of the properties of temporal and/or spatial soliton propagation in such exotic materials [3][4][5][6][7][8][9]. For example, negative-index materials have been utilized to tailor the propagation of bright and dark gap solitons [10], and new nonlinear Schrödinger equations (NLSEs) were derived [11][12][13] adapted to material possessing Drude-like dispersion for both the electric permittivity and the magnetic permeability.…”