Theory of induced scattering of electromagnetic waves in a waveguide by a relativistic electron beam

Belov, S. N.; Karbushev, N. I.; Rukhadze, A. A.

doi:10.1007/bf01038775

Cited by 2 publications

(1 citation statement)

References 3 publications

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“…In contrast to the analysis by Kurilkov, et al [3] and Belov, et al [4] which has resulted in an approximate dispersion relation for small corrugation depth, the present dispersion relation is applicable for arbitrary corrugation depth. As a generalization of the analysis by Swegle [5] which has led to a Pierce-type dispersion relation in the Compton regime, the present dispersion relation describes in both the Compton regime and the Raman regime.…”

Section: Introductioncontrasting

confidence: 45%

<title>Pierce-type dispersion relation for an intense relativistic electron beam interacting with a slow-wave structure</title>

Chen

1994

SPIE Proceedings

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A Pierce-type dispersion relation is derived from field theory which describes the interaction of an intense relativistic electron beam with a cylindrical slow-wave structure of arbitrary corrugation depth. It is shown that near a resonance the Pierce parameter can be expressed in terms of the vacuum dispersion function and the space-charge parameter is proportional to a fill factor. The dispersion relation is valid in both the low-current (Compton) regime and the high-current (Raman) regime. The dispersion characteristics of the interaction, such as the linear instability growth rate and bandwidth, are analyzed in both regimes.

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Section: Introductioncontrasting

confidence: 45%

<title>Pierce-type dispersion relation for an intense relativistic electron beam interacting with a slow-wave structure</title>

Chen

1994

SPIE Proceedings

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Backward wave oscillators with rippled wall resonators: Analytic theory and numerical simulation

Swegle

Poukey

Leifeste

1985

The Physics of Fluids

256

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In this paper, a comprehensive theoretical treatment is developed for backward wave oscillators composed of a relativistic electron beam guided by a strong magnetic field through a slow wave structure consisting of a cylindrical waveguide with a sinusoidally varying wall radius. This analysis, equally applicable to traveling wave tube operation, includes both a linearized theory of small-amplitude perturbations and numerical simulations of the saturated, large-amplitude operating regime. The variation of device operating characteristics with system parameters is examined in detail. Comparisons of the analytic and numerical results with experiments and additional calculations show excellent agreement and justify a high degree of confidence in the validity of the theory.

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Theory of induced scattering of electromagnetic waves in a waveguide by a relativistic electron beam

Cited by 2 publications

References 3 publications

<title>Pierce-type dispersion relation for an intense relativistic electron beam interacting with a slow-wave structure</title>

<title>Pierce-type dispersion relation for an intense relativistic electron beam interacting with a slow-wave structure</title>

Backward wave oscillators with rippled wall resonators: Analytic theory and numerical simulation

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