Self-organization of dissipationless solitons in negative refractive index materials

TL;DR

This paper derives coupled Helmholtz equations for electromagnetic fields in negative refractive index materials, reducing them to a Ginzburg-Landau form, revealing self-organized, dissipationless solitons that make NIMs effectively lossless.

Contribution

It introduces a new theoretical framework for dissipationless solitons in NIMs by deriving coupled equations from Maxwell's laws and reducing them to a Ginzburg-Landau equation.

Findings

Self-organized dissipationless solitons exist in NIMs.

Cross-compensation stabilizes solitons against losses.

NIMs can be effectively made dissipationless.

Abstract

General nonlinear and nonparaxial dissipative complex Helmholtz equations for magnetic and electric fields propagating in negative refractive index materials (NIMs) are derived ab initio from Maxwell equations. In order to describe nonconservative soliton dynamics in NIMs, such coupled equations are reduced into generalized Ginzburg-Landau equation. Cross-compensation between the excess of saturating nonlinearity, losses, and gain renders these self-organized solitons dissipationless and exceptionally robust. The presence of such solitons makes NIMs effectively dissipationless.