Modulational instability of coupled nonlinear field equations for pulse propagation in a negative index material embedded into a Kerr medium

TL;DR

This paper presents a new generalized model for pulse propagation in negative index materials embedded in Kerr media, demonstrating control over modulational instability gain by tuning initial fields and recovering previous models.

Contribution

The study introduces a comprehensive model that includes electric and magnetic field interactions, enabling better control and understanding of modulational instability in negative index materials.

Findings

Gain of MI can be controlled via initial electric or magnetic field amplitudes

Model recovers previous models for pulse propagation in NIMs with Kerr nonlinearity

Additional terms connect electric and magnetic field envelopes, enhancing model accuracy

Abstract

We have investigated the modulational instability (MI) in a negative index media (NIM) using a new generalized model describing the pulse propagation in a negative index material embedded into a Kerr medium. We have found that one could control the gain of MI in a NIM by tuning the initial electric or magnetic field amplitudes . Our model successfully recovers previously proposed models to describe pulse propagation in NIMs exhibiting Kerr nonlinearity. Moreover it contains a few additional terms connecting both the electric and magnetic field envelopes in a NIM.