Wave Energy Amplification in a Metamaterial based Traveling Wave Structure

TL;DR

This paper demonstrates that metamaterials can induce a unique wave-particle interaction leading to electromagnetic wave amplification in a traveling wave structure, revealing new dispersion properties and energy transfer mechanisms.

Contribution

It introduces a novel dispersion curve for metamaterials that enables wave amplification through a modified Madey's theorem, advancing understanding of wave-metamaterial interactions.

Findings

Metamaterials exhibit simultaneous negative permittivity and permeability.

The dispersion curve enables wave amplification via particle-beam interaction.

Wave power is amplified due to the metamaterial's unique properties.

Abstract

We consider the interaction between a particle beam and a propagating electromagnetic wave in the presence of a metamaterial. We show that the introduction of a metamaterial gives rise to a novel dispersion curve which determines a unique wave particle relationship, via the frequency dependence of the metamaterial and the novel ability of metamaterials to exhibit simultaneous negative permittivity and permeability. Using a modified form of Madey's theorem we find that the novel dispersion of the metamaterial leads to a amplification of the EM wave power.