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Telecommunications and Radio Engineering
SJR: 0.202 SNIP: 0.2 CiteScore™: 0.23

ISSN Imprimir: 0040-2508
ISSN On-line: 1943-6009

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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v65.i11.50
pages 1015-1027

Renormalized Resonant Conditions for a Hybrid Weakly-Relativistic Waveguide Free-Electron Laser

V. A. Goryashko
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine, 12, Academician Proskura Str., Kharkiv, 61085, Ukraine
K. V. Ilyenko
A. Usikov Institute of Radio Physics and Electronics, National Academy of Sciences of Ukraine, 12, Academician Proskura St., Kharkov 61085, Ukraine
A. N. Opanasenko
"Accelerator" National Research Laboratory, "Kharkiv Institute of Physical Technology", National Research Center 1, Аkademichna St., 61108 Kharkiv, Ukraine

RESUMO

We propose an analytical technique of twofold perturbation expansion to solve the nonlinear equations of motion of weakly-relativistic electrons moving in the magnetostatic pump field of a hybrid planar free-electron laser and apply it to obtain linear corrections to the electron trajectories caused by interaction with given propagating modes of a circular waveguide. In the nonlinear part of the problem, existing trajectory resonances are studied and their accessibility is numerically investigated. In a single-particle approximation the conditions of the most efficient interaction between an electron beam and propagating modes of a circular waveguide (resonant conditions) are derived analytically using small-signal theory in the microwave field. These conditions contain 'renormalization' multipliers, which are responsible for enforcement of energy conservation conditions if the microwave field is neglected.


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