Nonlinear magnetoinductive waves and domain walls in composite metamaterials

TL;DR

This paper explores the behavior of nonlinear magnetoinductive waves in composite metamaterials, revealing bistability, modulational instability, and the ability to support domain walls, advancing understanding of their complex nonlinear physics.

Contribution

It introduces a new theoretical framework for nonlinear magnetoinductive waves and demonstrates the existence of domain walls in nonlinear metamaterials.

Findings

Magnetic response can become bistable in nonlinear regime

Nonlinear metamaterials support domain walls connecting different magnetization regions

Analysis of modulational instability of nonlinear states

Abstract

We describe novel physics of nonlinear magnetoinductive waves in left-handed composite metamaterials. We derive the coupled equations for describing the propagation of magnetoinductive waves, and show that in the nonlinear regime the magnetic response of a metamaterial may become bistable. We analyze modulational instability of different nonlinear states, and also demonstrate that nonlinear metamaterials may support the propagation of domain walls (kinks) connecting the regions with the positive and negative magnetization.