Generalized Short Pulse Equation for Propagation of Few-Cycle Pulses in Metamaterials

TL;DR

This paper derives coupled generalized Short Pulse Equations to model the propagation of ultrashort, few-cycle pulses in nonlinear Drude metamaterials with electric and magnetic Kerr nonlinearities, extending existing models beyond traditional approximations.

Contribution

It introduces a new coupled system of equations that generalize the Short Pulse Equation for complex metamaterials, capturing vector and nonlinear effects.

Findings

Derivation of coupled generalized Short Pulse Equations for metamaterials

Extension of the Short Pulse Equation beyond dielectric fibers

Framework for modeling ultrashort pulse propagation in complex media

Abstract

We show that propagation of ultrashort (few-cycle) pulses in nonlinear Drude metamaterials with both electric and magnetic Kerr nonlinearities is described by coupled generalized Short Pulse Equations. The resulting system of equations generalizes to the case of metamaterials both the Short Pulse Equation and its vector generalizations which describe the few-cycle pulses in dielectric optical fibers beyond the slowly varying envelope approximation leading to the nonlinear Schroedinger equation.