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

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.

References in corpus (4)

• Unidirectional Nonlinear PT-symmetric Optical Structures
• Solitons in PT-symmetric nonlinear lattices
• Gain-Driven Discrete Breathers in PT-Symmetric Nonlinear Metamaterials
• Discrete solitons in PT-symmetric lattices

Cited by in corpus (5)

• Nonlinear waves in $\mathcal{P}\mathcal{T}$-symmetric systems
• Experimental realization of Floquet PT-symmetric systems
• $\mathcal{P}\mathcal{T}$ symmetry of the Su-Schrieffer-Heeger model with imaginary boundary potentials and next-nearest-neighboring coupling
• Nonlinear parity-time-symmetric transition in finite-size optical couplers
• Gap solitons and symmetry breaking in parity-time symmetric microring CROWs