Plural interactions of space charge wave harmonics during the development of two-stream instability

doi:10.1088/1674-1056/24/9/095201

中国物理B ›› 2015, Vol. 24 ›› Issue (9): 95201-095201.doi: 10.1088/1674-1056/24/9/095201

• PHYSICS OF GASES, PLASMAS, AND ELECTRIC DISCHARGES • 上一篇下一篇

Plural interactions of space charge wave harmonics during the development of two-stream instability

Victor Kulish^a, Alexander Lysenko^b, Michael Rombovsky^b, Vitaliy Koval^b, Iurii Volk^b

a National Aviation University, Department of Theoretical Physics, Kiev, 03058, Ukraine;
b Sumy State University, Department of General and Theoretical Physics, 40007 Sumy, Ukraine

收稿日期:2015-03-11 修回日期:2015-08-03 出版日期:2015-09-05 发布日期:2015-09-05

Plural interactions of space charge wave harmonics during the development of two-stream instability

Victor Kulish^a, Alexander Lysenko^b, Michael Rombovsky^b, Vitaliy Koval^b, Iurii Volk^b

a National Aviation University, Department of Theoretical Physics, Kiev, 03058, Ukraine;
b Sumy State University, Department of General and Theoretical Physics, 40007 Sumy, Ukraine

Received:2015-03-11 Revised:2015-08-03 Online:2015-09-05 Published:2015-09-05
Contact: Alexander Lysenko E-mail:lysenko_@ukr.net

摘要/Abstract

摘要：

We construct a cubically nonlinear theory of plural interactions between harmonics of the growing space charge wave (SCW) during the development of the two-stream instability. It is shown that the SCW with a wide frequency spectrum is formed when the frequency of the first SCW harmonic is much lower than the critical frequency of the two-stream instability. Such SCW has part of the spectrum in which higher harmonics have higher amplitudes. We analyze the dynamics of the plural harmonic interactions of the growing SCW and define the saturation harmonic levels. We find the mechanisms of forming the multiharmonic SCW for the waves with frequencies lower than the critical frequency and for the waves with frequencies that exceed the critical frequency.

关键词: two-stream instability, three-wave parametric resonances, space charge wave, free-electron laser

Abstract:

Key words: two-stream instability, three-wave parametric resonances, space charge wave, free-electron laser

中图分类号: (Waves, oscillations, and instabilities in plasmas and intense beams)

52.35.-g

52.35.Mw (Nonlinear phenomena: waves, wave propagation, and other interactions (including parametric effects, mode coupling, ponderomotive effects, etc.)) 41.60.Cr (Free-electron lasers)

Victor Kulish, Alexander Lysenko, Michael Rombovsky, Vitaliy Koval, Iurii Volk. Plural interactions of space charge wave harmonics during the development of two-stream instability[J]. 中国物理B, 2015, 24(9): 95201-095201.

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Plural interactions of space charge wave harmonics during the development of two-stream instability

Plural interactions of space charge wave harmonics during the development of two-stream instability

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