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

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.

11 pages

References in corpus (5)

• Higher-order effects and ultra-short solitons in left-handed metamaterials
• A uni-directional optical pulse propagation equation for materials with both electric and magnetic responses
• Parametrically Shielding Electromagnetic Fields by Nonlinear Metamaterials
• Gap solitons in a nonlinear quadratic negative index cavity
• Modulational instability of few cycle pulses in optical fibers

Cited by in corpus (5)

• Modulation instability in nonlinear metamaterials induced by cubic-quintic nonlinearities and higher order dispersive effects
• Modulation instability in nonlinear complex parity-time (PT) symmetric periodic structures
• Peregrine Rogue Wave dynamics in the continuous nonlinear Schrödinger system with parity-time symmetric Kerr nonlinearity
• Modulation Instability of Ultrashort Pulses in Quadratic Nonlinear Media beyond the Slowly Varying Envelope Approximation
• General complex envelope solutions of coupled-mode optics with quadratic or cubic nonlinearity