Metamaterial Mediated Inverse Cherenkov Acceleration

In this paper we ex­am­ine the ef­fect of in­tro­duc­ing an Elec­tro­mag­net­ic meta­ma­te­ri­al into a Trav­el­ling Wave struc­ture to me­di­ate in­verse Cherenkov ac­cel­er­a­tion. Elec­tro­mag­net­ic meta­ma­te­ri­als are ar­ti­fi­cial ma­te­ri­als that con­sist of macro­scop­ic struc­tures that yield an ef­fec­tive per­mit­tiv­i­ty and per­me­abil­i­ty less than zero. The prop­er­ties of meta­ma­te­ri­als are high­ly fre­quen­cy de­pen­dent and give rise to very novel dis­per­sion re­la­tion­ships. We show that the in­tro­duc­tion of a specif­i­cal­ly de­signed meta­ma­te­ri­al into the in­ter­ac­tion re­gion gives rise to a novel dis­per­sion curve yield­ing a unique wave-par­ti­cle in­ter­ac­tion. We demon­strate that this novel wave-par­ti­cle in­ter­ac­tion gives rise en­er­gy ex­change from wave to beam over an ex­tend­ed in­ter­ac­tion regime. We also dis­cuss the ben­e­fits and is­sues that arise from hav­ing a meta­ma­te­ri­al in a high vac­u­um high power en­vi­ron­ment with a spe­cif­ic focus on the issue of loss in meta­ma­te­ri­al struc­tures.