1980
DOI: 10.1017/s0022377800010424
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Effect of collisions on the relativistic electromagnetic instability

Abstract: The electromagnetic instability of a relativistic electron beam penetrating an infinite plasma is analyzed. The purpose of this paper is to determine the effect of collisions within the plasma upon the growth rate of the Weibel-type electromagnetic instability. The dispersion relation including the effect of collisions is solved analytically and numerically. It is found that collisions can enhance the growth rate of the electromagnetic instability in the case of low plasma temperature.

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Cited by 40 publications
(23 citation statements)
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“…The laser pulse drives relativistic currents, compensating return currents, and creates a pattern of counterpropagating currents which are subject to current filamentation instabilities (CFI) including the Weibel mode [3]. In the theoretical arena, numerous versions of analytical and numerical methods have been developed in the past, to explore this type of instabilities [4,5,6,7,8,9,10,11,12,13,14,15,16,17]. In general, the physical mechanism of the electromagnetic CFI is explained as follows: When the compensation of the counterpropagating electron currents is disturbed in the transverse direction, magnetic repulsion between the two currents reinforces the initial disturbance.…”
Section: Introductionmentioning
confidence: 99%
“…The laser pulse drives relativistic currents, compensating return currents, and creates a pattern of counterpropagating currents which are subject to current filamentation instabilities (CFI) including the Weibel mode [3]. In the theoretical arena, numerous versions of analytical and numerical methods have been developed in the past, to explore this type of instabilities [4,5,6,7,8,9,10,11,12,13,14,15,16,17]. In general, the physical mechanism of the electromagnetic CFI is explained as follows: When the compensation of the counterpropagating electron currents is disturbed in the transverse direction, magnetic repulsion between the two currents reinforces the initial disturbance.…”
Section: Introductionmentioning
confidence: 99%
“…In the linear stage, filamentation is generally studied under some simplifying ab-initio transverse approximation of the dielectric tensor, so that filamentation instability is attributed to the exponential growth of unstable electromagnetic purely transverse modes (k · E = 0) with wave vector k normal to the beam [4,8,9,10,11,12]. It is also common to refer to this instability as Weibel instability [4,7,8], though the original mode studied by Weibel [13] would require some plasma temperature anisotropy to be driven.…”
mentioning
confidence: 99%
“…This means the two stream instability is not so dengerous. The maximum growth rate of the filamentation instability between the beam electrons and the separator electrons is given by (24) …”
Section: Electron Bunch Acceleration By the Tem 10 + Tem 01 Mode Lasementioning
confidence: 99%