Modulation theory in PT-Symmetric Magnetic Metamaterial Arrays in the continuum limit

TL;DR

This paper investigates the dynamics of PT-symmetric magnetic metamaterials, deriving analytical results on gap solitons and symmetry breaking in the continuum limit with weak nonlinearity.

Contribution

It introduces a continuum model for PT-symmetric magnetic metamaterials and analytically studies gap solitons and symmetry breaking phenomena.

Findings

Existence of gap soliton solutions in the continuum limit.

Identification of a critical gain/loss value for symmetry breaking.

Analytical characterization of nonlinear dynamics in PT-symmetric metamaterials.

Abstract

We present results on the dynamics of split-ring dimers having both gain and loss in one dimensional nonlinear parity-time- (PT-)symmetric magnetic metamaterials. For the longwave (continuum) limit approximation and in the weakly nonlinear limit, we show analytic results on the existence of gap soliton solutions and on symmetry breaking phenomenon at a critical value of the gain/loss term.