Diffraction Managed Soliton in Metamaterial

Abstract

This paper presents the Propagation and generation of the electromagnetic breather like diffraction managed soliton for a large range of parametric space through a periodic array of metamaterials with positive and negative diffraction. The governing nonlinear Schrödinger equation is solved analytically and numerically by using Lagrangian variational method and Split Step Fourier method, respectively. Initial beam energy for diffraction managed soliton formation is determined for various sets of diffraction managed metamaterial. A high energy beam can be produced using diffraction managed metamaterial array. Different classes of stability zones for the diffraction managed soliton has been identified.