Self-focusing and envelope pulse generation in nonlinear magnetic metamaterials

TL;DR

This paper investigates how nonlinear magnetic metamaterials can spontaneously generate localized envelope solitons through wave self-modulation, supported by theoretical analysis and numerical simulations.

Contribution

It demonstrates the formation of envelope solitons in nonlinear magnetic metamaterials due to self-modulation, a novel insight into wave localization in such media.

Findings

Self-modulation leads to energy localization.

Envelope solitons are generated spontaneously.

Numerical results support theoretical predictions.

Abstract

The self-modulation of waves propagating in nonlinear magnetic metamaterials is investigated. Considering the propagation of a modulated amplitude magnetic field in such a medium, we show that the self-modulation of the carrier wave leads to a spontaneous energy localization via the generation of localized envelope structures (envelope solitons), whose form and properties are discussed. These results are also supported by numerical calculations.