Analytical Study of Combo-Solitons in Optical Metamaterials with Cubic-Quintic Nonlinearity

Abstract

In this paper bright-dark combined optical solitons are reported in nonlinear metamaterials for the first time. The nonlinear dynamical model that is given by the nonlinear Schrödinger equation is studied analytically by employing the complex envelope function ansatz. The perturbations that are spatio-temporal dispersion, parabolic law nonlinearity, detuning, nonlinear dispersion, inter-modal dispersion and third order dispersion are taken into account. As a consequence, the exact combined optical solitons are obtained along with several constraint conditions for the existence of those exact solitons. The influences of some controllable coefficients of nonlinear metamaterials, on the properties of combined solitons, are analyzed.

High-order optical nonlinearities in plasmonic nanocomposites—a review

“…In addition, because NL metamaterials may present very large optical response, it is reasonable to predict that light propagation may be affected by high-order NL contributions. Based on this reasoning several theoretical proposals and numerical simulations were performed to analyze the evolution of the light fields being affected by complex high-order susceptibilities (quintic and cubic-quintic nonlinearities) [231] and high-order dispersion [148], which give rise to effects such as modulation instability [148,231], optical solitons [232,233], and rogue waves [234]. The modulation instability effect in NL metamaterials exhibiting dispersive magnetic permeability, μω, and electric permittivity, εω, can be controlled through the materials structure design.…”