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Degrees-of-freedom reduction for wave-particle systems : Comparison of Pierce equivalent circuit and recent discrete model for traveling-wave tubes

Authors
  • Minenna, Damien
  • Terentyuk, Artem
  • André, Frédéric
  • Elskens, Yves
  • Ryskin, Nikita
Publication Date
Apr 03, 2018
Source
Kaleidoscope Open Archive
Keywords
Language
English
License
Unknown
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Abstract

To perform accurate numerical simulations of the wave-particle interaction as it occurs in particular in traveling wave tubes, a new approach using field decomposition with large reduction of degrees of freedom has been proposed: the discrete model. To assess its validity, we compare it with the well-established Pierce equivalent circuit model in small signal regime. Before the comparison, the beam-wave interaction in both models is reformulated using a new pedagogical approach, dealing with associated beam, circuit-beam, and circuit impedances. We show analytically and with a numerical example that the newly developed reduced model is very close to the Pierce model. Interestingly, small deviations do exist at the edges of the amplification band, for which the reduced model offers a physical interpretation.

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