Sinusoidal excitations in reduced Maxwell-Duffing model

TL;DR

This paper derives sinusoidal, mono-frequency, and cnoidal wave solutions for the reduced Maxwell-Duffing equations, revealing wave behaviors in a polarized atomic medium under sinusoidal excitation.

Contribution

It introduces explicit sinusoidal and cnoidal wave solutions to the reduced Maxwell-Duffing model, expanding understanding of wave propagation in nonlinear media.

Findings

Existence of sinusoidal wave solutions under initial polarization.

Derivation of mono-frequency and cnoidal wave solutions.

Insights into wave behavior in nonlinear atomic media.

Abstract

Sinusoidal wave solutions are obtained for reduced Maxwell-Duffing equations describing the wave propagation in a non-resonant atomic medium. These continuous wave excitations exist when the medium is initially polarized by an electric field. Other obtained solutions include both mono-frequency and cnoidal waves.