Investigation of the diocotron instability of an infinitely wide sheet electron beam by using the macroscopic cold-fluid model theory

doi:10.1088/1674-1056/20/10/104101

Abstract This paper investigates the diocotron instability of an infinitely wide relativistic sheet electron beam in conducting walls propagating through a uniform magnetic field by using the macroscopic cold-fluid model theory. Assuming low-frequency perturbations with long axial wavelengths, the eigenvalue equation and the dispersion relation are acquired for a sheet electron beam with sharp boundary profile and uniform density. The results presented in this paper has developed the use of the macroscopic cold-fluid model theory by extending the parameter of the electron cyclotron frequency $\omega _{\rm c} $ to a wider usage range, which is restricted to be much larger than the plasma frequency $\omega _{\rm p} $ in the previous research work. Theoretical analyses and numerical calculations indicate that the transport of the sheet electron beam will be completely stabilized by augmenting the normalized beam thickness to a conductor gap larger than a threshold $\lambda _{\rm b} $, which is greatly dependent on the parameter ${\omega _{\rm c} }/{\omega _{\rm p}}$. The larger ${\omega_{\rm c} }/ {\omega _{\rm p} }$ is, the smaller $\lambda _{\rm b} $ will be needed. Moreover, the system parameters, including the wave number $k_x $ of the perturbations and the relativistic mass factor $\gamma _{\rm b} $, will also influence the growth rate of diocotron instability obviously.

Keywords: diocotron instability macroscopic cold-fluid model sheet electron beam

Received: 22 November 2010
Revised: 28 April 2011
Accepted manuscript online:

PACS:	41.75.-i	(Charged-particle beams)
	41.85.-p	(Beam optics)
	41.85.Ja	(Particle beam transport)
	41.90.+e	(Other topics in electromagnetism; electron and ion optics)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 60501019, 10775139, and 60971073).

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Han Ying(韩莹) and Ruan Cun-Jun(阮存军) Investigation of the diocotron instability of an infinitely wide sheet electron beam by using the macroscopic cold-fluid model theory 2011 Chin. Phys. B 20 104101

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[1]	Investigation of intense sheet electron beam transport using the macroscopic cold-fluid model and the single-particle orbit theory Han Ying(韩莹) and Ruan Cun-Jun(阮存军) . Chin. Phys. B, 2012, 21(5): 054103.

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Investigation of the diocotron instability of an infinitely wide sheet electron beam by using the macroscopic cold-fluid model theory

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