Evolution of overlimiting electron beam instability

Rostomyan, E.V.

doi:10.1051/epjap:2001156

Cited by 12 publications

(10 citation statements)

References 3 publications

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“…The picture described above is valid for e-beams, instability of which is due to induced radiation of the system proper waves by the beam electrons. However, it is known that with increase in beam current the physical nature of e-beam instabilities changes [6,7,[12][13][14]. This is a result of influence of the beam space charge.…”

Section: The Behavior Of Overlimiting Electron Beam Instabilitymentioning

confidence: 99%

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The Behavior of Streaming Instabilities in Dissipative Plasma

Rostomyan¹

2019

Plasma Science and Technology - Basic Fundamentals and Modern Applications

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An approach is presented that allows getting detailed information on the behavior of streaming instabilities (SI) from the dispersion relation (DR). The approach is based on general assumptions and does not refer to any particular model and/or type of the stream interaction with background system (Cherenkov, cyclotron, etc.). The basis of the approach is transformation of the DR to an equation for slowly varying amplitude of the developing waveform. The solution of the equation actually presents results of the important problem of time evolution of initial perturbation and gives detailed information on the instability behavior. Most of the information is unavailable by other methods. For particular SI, only two parameters should be specified. The expression for the fields' structure shows that with increase in level of dissipation, SI gradually turns to dissipative streaming instability (DSI). Two new, previously unknown types of DSI are presented: DSI of overlimiting electron beam and DSI under weak beam-plasma coupling. Growth rates of these DSI depend on dissipation more critically than usual. Presented approach is valid for a large class of SI: beam-plasma instabilities of various types (Cherenkov, cyclotron, etc.) including over-limiting e-beam instabilities, the instability in spatially separated beam-plasma systems, Buneman instability, etc.

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Section: The Behavior Of Overlimiting Electron Beam Instabilitymentioning

confidence: 99%

“…Our steps coincide to those for the case of underlimiting e-beams: expand the DR (27) in series near ω 0 and k 0 (see (29) and derive an equation for SVA. Making use the condition of OB 2β 2 γ 2 δ=k 0 u ≥ 1 [13], one can obtain [6,12].…”

Section: Equation For Sva and Its Solution: Transition To The New Typmentioning

confidence: 99%

The Behavior of Streaming Instabilities in Dissipative Plasma

Rostomyan¹

2019

Plasma Science and Technology - Basic Fundamentals and Modern Applications

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“…Detail analysis of the waveform, induced by overlimiting electron beam owing to instability development in the absence of dissipation has been done in [6]. Briefly this analysis may be reduced to following.…”

Section: Analysis Of Induced Waveformmentioning

confidence: 99%

“…to the maximal growth rate for overlimiting beam [6]. In other words the maximal growth rate of instability usually describing instability in given system in fact is nothing else that the growth rate in the peak of wave packet As the beam current increases the peak of induced waveform shifts (from 1/3of its length) backward to the middle of wave packet and the growth rate essentially changes its value and dependence on beam density [6] In a fixed point z the field E 0 (z,t) attains it's maximal value ∼ exp δ ovl z/(uv 0 ) 1/2 at the instant t = z/w a , where…”

Section: Analysis Of Induced Waveformmentioning

confidence: 99%

“…Traditional statement about physical nature of electron beam instability related to induced radiation of the system proper waves by beam electrons might not be applied to overlimiting beams. Physical character of their instability is due either to aperiodical modulation [1,3,5] of the beam density in medium with negative dielectric constant or to excitation of beam wave with negative energy [1,6]. Apart from increasing of beam current dissipation of high level also changes the physical nature of beam instability.…”

Section: Introductionmentioning

confidence: 99%

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<title>Influence of dissipation on overlimiting electron beam instability in microwave sources</title>

Rostomyan

2002

SPIE Proceedings

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Influence of dissipation on development of overlimiting electron beam instability caused by aperiodical modulation of beam density in medium with negative dielectric constant is investigated. Fully magnetized beam-plasma waveguide is considered. It is shown that growth rates of dissipative instability of overlimiting electron beam depend on parameter characterizing dissipation more critically as compared with conventional electron beams. The influence of dissipation on space-time evolution of overlimiting beam instability and its gradual transition to that of dissipative type with increase in level of dissipation is investigated in detail.

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Features of relativistic electron beam–plasma interaction under high beam current

Karbushev

Rostomyan

2008

Physics Letters A

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Evolution of overlimiting electron beam instability

Cited by 12 publications

References 3 publications

The Behavior of Streaming Instabilities in Dissipative Plasma

The Behavior of Streaming Instabilities in Dissipative Plasma

<title>Influence of dissipation on overlimiting electron beam instability in microwave sources</title>

Features of relativistic electron beam–plasma interaction under high beam current

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