MULTIPLE THREE-WAWE RESONANCES IN TWO-STREAM FREE-ELECTRON LASER WITH A HELICAL ELECTRON BEAM

Authors

  • Alexander Lysenko Head of the Department of Applied Mathematics and Complex Systems Modeling, Sumy State University,
  • Iurii Volk PhD student, junior researcher, Department of Applied Mathematics and Complex Systems Modeling, Sumy State University, https://orcid.org/0000-0002-0262-762X
  • Anastasia Serozhko Student, Department of Applied Mathematics and Complex Systems Modeling, Sumy State University,
  • Oleksandr Rybalko Postdoc, Department of Electrical Engineering, Technical University of Denmark, https://orcid.org/0000-0002-6905-6868

DOI:

https://doi.org/10.20535/2411-2976.12018.58-64

Keywords:

two-stream superheterodyne free-electron laser, two-stream instability, helical electron beams, three-wave resonances.

Abstract

Background. A powerful terahertz radiation sources creation is one of the perspective tendencies in relativistic plasma electronics. Nowadays there are few devices able to create powerful radiation in millimeter-infrared waveband (even in the part of this band). Therefore, theoretical research of novel powerful terahertz radiation sources, that are also characterized by broad frequency spectrum, is an actual problem.
Objective. The aim of the paper is a study of the influence of multiple three-wave resonant interactions in the klystron type two-stream superheterodyne free-electron laser (TSFEL) with helical electron beam on the forming effectiveness of the powerful waves with broad frequency spectrum.
Methods. In order to theoretically analyze multiple resonances of wave harmonics, as initial, we use quasihydrodynamic equation, the continuity equation and Maxwell’s equations. We apply the hierarchic approach to the theory of oscillations and waves to the equations of motion and continuity, Maxwell’s equations are solved by means of the slowly varying amplitude
method. As a result, we derive a system of differential equations for complex amplitudes of SCW electric field strength harmonics which we analyze by standard methods.
Results. It was shown that in the two-stream superheterodyne FELs, utilizing the two-stream instability in helical electron beams as an additional electromagnetic wave amplification mechanism, the powerful multiharmonic space charge wave
with broad frequency spectrum forms due to multiple resonant interactions. The spectrum width of such wave is larger compared to the spectrum width in TSFELs utilizing straight electron beams. It is also found out that amplification rates in such TSFELs are higher.
Conclusions. An application of helical electron beams in multiharmonic TSFELs using multiple resonant interactions leads to the improvement of their amplification characteristics, frequency spectrum widening in multiharmonic signal generation mode, and to overall geometric dimensions decreasing compared to TSFELs utilizing straight beams.
Keywords: two-stream superheterodyne free-electron laser; two-stream instability; helical electron beams; three-wave resonances.

References

Kulish V. V. Hierarchic electrodynamics and free electron lasers: concepts, calculations, and practical applications. — CRC Press, 2011. — 700 p.

Kulish V. V. On the theory of superheterodyne lasers on the klystron type free electrons // Ukr. phys. journal 1991.- 36. - No. 1. - P. 28-33.

Hierarchical asymptotic methods in the theory of cluster free electron lasers / V. V. Kulish, A. V. Lysenko, A. J. Brusnik // Journal of Infrared, Millimeter, and Terahertz Waves. — 2012. — Vol. 33, No. 2. — P. 149–173.

Effect of parametric resonance on the formation of waves with a broad multiharmonic spectrum during the development of two-stream instability / V. V. Kulish, A. V. Lysenko, M. Y. Rombovsky // Plasma Physics Reports. — 2010. — Vol. 36, No. 7. — P. 594–600.

Plural interactions of space charge wave harmonics during the development of two-stream instability / V. V. Kulish, A. V. Lysenko, M. Y. Rombovsky, V. V. Koval, I. I. Volk // Chinese Physics B. — 2015. — Vol. 24, No. 9. — P. 095201.

Mahdizadeh N. Saturation mechanism in a two-stream free-electron laser // Journal of Plasma Physics. — 2015. — Vol. 81, No. 06.

Instability of wave modes in a two-stream free-electron laser with a helical wiggler and an axial magnetic field / T. Mohsenpour, N. Mehrabi // Physics of Plasmas (1994- present). — 2013. — Vol. 20, No. 8. — P. 082133.

Superheterodyne plasma-beam lasers with helical electron beams / V.V. Kulish, A.V. Lysenko, G.A. Alekseenko, V.V. Koval, M. Yu. Rombovskii // Applied Physics. - 2014. - No. 5. - P. 24-28.

Ng K.-Y. Physics of intensity dependent beam instabilities. — World Scientific, 2006.

Downloads

Published

2018-07-03

How to Cite

Lysenko, A., Volk, I., Serozhko, A., & Rybalko, O. (2018). MULTIPLE THREE-WAWE RESONANCES IN TWO-STREAM FREE-ELECTRON LASER WITH A HELICAL ELECTRON BEAM. Information and Telecommunication Sciences, (1), 58–64. https://doi.org/10.20535/2411-2976.12018.58-64

Issue

No. 1 (2018)

Section

Статті

License

The ownership of copyright remains with the Authors.

Authors may use their own material in other publications provided that the Journal is acknowledged as the original place of publication and National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute” as the Publisher.

ITS articles are published under Creative Commons licence:

  •  Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under CC BY 4.0that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work.