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

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

Abstract

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.

Keywords: two-stream instability three-wave parametric resonances space charge wave free-electron laser

Received: 11 March 2015
Revised: 03 August 2015
Accepted manuscript online:

PACS:	52.35.-g	(Waves, oscillations, and instabilities in plasmas and intense beams)
	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)

Corresponding Authors: Alexander Lysenko
E-mail: lysenko_@ukr.net

Cite this article:

Victor Kulish, Alexander Lysenko, Michael Rombovsky, Vitaliy Koval, Iurii Volk Plural interactions of space charge wave harmonics during the development of two-stream instability 2015 Chin. Phys. B 24 095201

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

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