Interaction between a tubular beam of charged particles and a dispersive metamaterial of cylindrical configuration

Yu. O. Averkov, Yu. V. Prokopenko, and V. M. Yakovenko
Phys. Rev. E 96, 013205 – Published 10 July 2017

Abstract

The interaction between a tubular beam of charged particles and a dispersive metamaterial of cylindrical configuration has been investigated theoretically. This metamaterial may have negative permittivity and negative permeability simultaneously over a certain frequency range where it behaves like a left-handed metamaterial. The dispersion equation for the eigenmodes spectra of a metamaterial and the coupled modes spectra of the system have been derived and numerically analyzed. It has been found that the absolute beam instability of bulk-surface waves occurs because of peculiarities of the eigenmodes spectra of a left-handed metamaterial. Specifically, the resonant frequency behavior of the permeability causes the emergence of the sections of dispersion curves with anomalous dispersion. It has been demonstrated that the symmetric bulk-surface mode with two field variations along the cylinder radius possesses the maximum value of instability increment. The obtained results allow us to propose the left-handed metamaterial as the delaying medium in oscillators of electromagnetic radiation without a need to provide an additional feedback in the system just as in a backward-wave tube.

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  • Received 18 April 2017

DOI:https://doi.org/10.1103/PhysRevE.96.013205

©2017 American Physical Society

Physics Subject Headings (PhySH)

Plasma Physics

Authors & Affiliations

Yu. O. Averkov*, Yu. V. Prokopenko, and V. M. Yakovenko

  • A. Ya. Usikov Institute for Radiophysics and Electronics, National Academy of Sciences of Ukraine, 12 Academician Proskura Street, 61085 Kharkov, Ukraine

  • *yuriyaverkov@gmail.com
  • prokopen@ire.kharkov.ua
  • yavm@ire.kharkov.ua

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Issue

Vol. 96, Iss. 1 — July 2017

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