Telecommunications and Radio Engineering

ISSN for PRINT: 0040-2508

For Online Access

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2006, Volume65

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
National Science Center “Kharkiv Institute of Physics and Technology” National Academy of Sciences of Ukraine 1, Akademichna Str., Kharkiv, 61108, Ukraine

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.

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

Article price - $35.00

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