Scaling Law of Emittance Growth for Bunched Beam with Gaussian Density Distribution in Both Longitudinal and Transverse Directions in Linac

Chen Yinbao; Huang Zhibin; FuShinian

Chinese Physics C> 1997, Vol. 21> Issue(7) : 657-663

Scaling Law of Emittance Growth for Bunched Beam with Gaussian Density Distribution in Both Longitudinal and Transverse Directions in Linac

China Institute of Atomic Energy,Beijing 102413

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Abstract：
In this paper,using a cylinder model of space charge,the formulae of self-energy and emittance growth for a bunched beam with Gaussian type density distribution in both longitudinal and transverse directions in linac are derived.And the scaling law relating the beam parameters with the machine parameters are discussed by means of the numerical simulation results.

References

[1]

Lawson, J. D., The Physics of Charged-Particle Beams, Second Edition. Clarendon Press, Oxford,1988.[2]Reiser M，J. .Appl. Phys.,70(1991)1919.[3]Reiser, M., Theory and Design of Charged Particle Beams. John Weley Sons, Inc., New York, 1994.[4]陈银宝、谢羲，原子核物理，1(1979)107.[5]李庆扬、王超能、易大义，数值分析，第三版，华中工学院出版社，武汉，1987, p. 148-151.[6]Lapostolle, 'P., IEEE Trans. on Nucl. Sci., NS18(1971)1101.[7]Chen Yinbao, Zhang Zhehai, Chin. J. Nucl. Phys., 16(1994)71.[8]Huang Zhibin, Chen Yinbao, Fu Shinian, Chin. J. Nucl. Phys., 17(1995)345.

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Chen Yinbao, Huang Zhibin and FuShinian. Scaling Law of Emittance Growth for Bunched Beam with Gaussian Density Distribution in Both Longitudinal and Transverse Directions in Linac[J]. Chinese Physics C, 1997, 21(7): 657-663.

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Received: 1900-01-01
Revised: 1900-01-01

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沈阳化工大学材料科学与工程学院沈阳 110142

Scaling Law of Emittance Growth for Bunched Beam with Gaussian Density Distribution in Both Longitudinal and Transverse Directions in Linac

Corresponding author: Chen Yinbao,

China Institute of Atomic Energy,Beijing 102413

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1997-07-05

Abstract: In this paper,using a cylinder model of space charge,the formulae of self-energy and emittance growth for a bunched beam with Gaussian type density distribution in both longitudinal and transverse directions in linac are derived.And the scaling law relating the beam parameters with the machine parameters are discussed by means of the numerical simulation results.