Application of the Modernized Method of Averaged Characteristics in Theory Problems of Plasma-beam Superheterodyne Free Electron Lasers

Authors A.V. Lysenko , G.A. Oleksiienko , M.O. Fedenko
Affiliations

Sumy State University, 2, Rimsky Korsakov Str., 40007 Sumy, Ukraine

Е-mail [email protected]
Issue Volume 7, Year 2015, Number 4
Dates Received 18 September 2015; published online 24 December 2015
Citation A.V. Lysenko, G.A. Oleksiienko, M.O. Fedenko, J. Nano- Electron. Phys. 7 No 4, 04083 (2015)
DOI
PACS Number(s) 02.60.Cb, 41.60. – m, 52.35. – g
Keywords Keywords: Method of averaged characteristics, Superheterodyne free electron lasers, Plasma-beam instability, Multiharmonic parametric resonances.
Annotation We demonstrate the technique use of the modernized method of averaged characteristics in the cubic-nonlinear theory of plasma-beam superheterodyne free electron lasers (SFEL) of the H-ubitron type with helical electron beams. We obtain the truncated differential equations set for wave amplitudes that take into account plural parametric interactions of harmonics of space charge wave (SCW) using this technique. The saturation levels have been found. We show that the multiharmonic interactions of SCW harmonics result in decreases of the signal saturation two or more times. It was demonstrated that plasma-beam SFEL of the H-ubitron type with helical electron beams can be used as powerful sources of coherent electromagnetic radiation in the millimeter wavelength range.

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