Tan, Y. S. and Seviour, Rebecca (2009) Wave energy amplification in a metamaterial-based traveling-wave structure. EPL (Europhysics Letters), 87 (3). p. 34005. ISSN 0295-5075

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 an amplification of the EM wave power.