Active negative-index metamaterial powered by an electron beam

Abstract

An active negative index metamaterial that derives its gain from an electron beam is introduced. The metamaterial consists of a stack of equidistant parallel metal plates perforated by a periodic array of holes shaped as complementary split-ring resonators. It is shown that this structure supports a negative-index transverse magnetic electromagnetic mode that can resonantly interact with a relativistic electron beam. Such metamaterial can be used as a coherent radiation source or a particle accelerator.

Sub-wavelength waveguide loaded by a complementary electric metamaterial for vacuum electron devices

“…Using the effective medium permittivity tensor components ε zz and ε xx we determine the gain of the Cerenkov instability of the electron beam in the MTM waveguide [13]. The new longitudinal permittivity ε zzn including the electron beam is given by [30]:…”

“…MTMs and photonic crystals built of metallic parts can be considered as modified coupled-cavity or ladder structures and are promising for application in TWTs or BWOs. The wave-electron beam interaction in MTMs has been theoretically studied in [8][9][10][11][12][13][14][15]. Here we focus on the MTM-loaded waveguide and its application as an interaction circuit for a vacuum electron device.…”

“…This waveguide may have an application as an interaction circuit for a vacuum electron device in which a rectilinear electron beam excites a TM-dominated mode with the longitudinal electric field in the direction of the electron velocity [13]. The CSRR is needed because it provides electric response for the longitudinal electric field [13].…”

“…This waveguide may have an application as an interaction circuit for a vacuum electron device in which a rectilinear electron beam excites a TM-dominated mode with the longitudinal electric field in the direction of the electron velocity [13]. The CSRR is needed because it provides electric response for the longitudinal electric field [13]. In contrast to [13], in this paper we consider a different type of CSRR -planar complementary electric split ring resonators (CeSRRs) introduced in [22] and we present a simple model for a waveguide loaded by CeSRRs.…”

“…The CSRR is needed because it provides electric response for the longitudinal electric field [13]. In contrast to [13], in this paper we consider a different type of CSRR -planar complementary electric split ring resonators (CeSRRs) introduced in [22] and we present a simple model for a waveguide loaded by CeSRRs.…”