直线感应加速器间隙中的径向聚焦
RADIAL FOCUSING IN A LINEAR INDUCTION ACCELERATOR GAP
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摘要: 在直线感应加速器间隙中的电场的聚焦特性与在双圆筒静电透镜中的电场的聚焦特性相同。在非相对论情况下,对双圆筒静电透镜的聚焦性质已有系统的研究。本文提出相对论情况下双圆筒静电透镜的聚焦性质,得出在薄透镜近似下的解析公式,并给出计算实例及与数值积分计算相比较。结果表明,在实际应用的范围内,解析公式具有足够的精确度。Abstract: The focusing properties of the electric field distribution in a linear inductionaccelerator gap are identical to those of a bipotential electrostatic lens if theparticle gap-transit time is small compared with the time variation of the inducedelectric field. Bipotential lenses are studied systematically only in the nonreletivis-tic case. In this paper we present the results of a theoretical study of the focusingproperties of a symmetrical two-cylinder lens with identical radii and negligibleseparation for relativistic electron beams. Analytical formulas derived by usingthe thin-lens approximation are compared with the results of numerical integrationof the relativistic paraxial ray equation and found to be sufficiently accurate for-practical applications.
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Keywords:
- Linear induction accelerators ,
- Radial focusing
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[1] El-Kareh A. B. and El--Kareh, J. C. J., Electron beams, lenses, and optics, Vol. 1, Academic press, New York and London, 1970. [2] Orzechowski, T. J. et al., Phys. Rev. Lett., 54, 889 (1985). [3] Sessler, A. M. and Yu, S. S., Phys. Rev. Lett., 58, 2439 (1987). [4] Lawson, J. D., The physics of charged--particle beams, Oxford university press, 1977. [5] Keefe, D., AIP Conf. Proc. Heavy Ion Fusion (Editors: M. Reiser, T. Godlove, and R. Bangerter). 152, 63 (1986).
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