Contour Function Theory For Transport of Charged Particle Beams

Yu Qingchang

Chinese Physics C> 1995, Vol. 19> Issue(5) : 468-472

Contour Function Theory For Transport of Charged Particle Beams

Yu Qingchang ^,

Institute of High Energy Physics, Academia Sinica, Beijing 100039

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Abstract：
The shape of the emittance contour of a charged particle beam can be described by the contour function. In this paper the variance of the beam contour in the nonlinear transport system is studied by means of the contour function theory and Lie algebra. Its inverse problem, the selection of parameters of the transport system according to the beam properties, can be studied also. As examples, the improvement of the beam quality by means of the nonlinear element and the beam matching in the nonlinear periodic field system are discussed.

References

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E.D.Courant,H.S.Snyder,Ann.Phys.,3（1958）1.[2]K.L.Brown,SLAC laboratory report SLAC-75,1967.[3]A.J.Dragt,in Physics of high energy particle accelerators,AIPConf.Proc.No.87;ed.R.A.Carriganetal,NewYork,1982.[4]A.J.Dragtetal,Ann.Rev.Nucl.Part.Sci,38（1988）455.[5]YuQingchang,Rev.Sci.Instr,65（1994）1444[6]郁庆长，高能物理与核物理，17（1993）878.[7]郁庆长，高能物理与核物理，17（1993）305.

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Yu Qingchang. Contour Function Theory For Transport of Charged Particle Beams[J]. Chinese Physics C, 1995, 19(5): 468-472.

Yu Qingchang. Contour Function Theory For Transport of Charged Particle Beams[J]. Chinese Physics C, 1995, 19(5): 468-472. shu

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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

Contour Function Theory For Transport of Charged Particle Beams

Yu Qingchang ^,

Corresponding author: Yu Qingchang,

Institute of High Energy Physics, Academia Sinica, Beijing 100039

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1995-05-05

Abstract: The shape of the emittance contour of a charged particle beam can be described by the contour function. In this paper the variance of the beam contour in the nonlinear transport system is studied by means of the contour function theory and Lie algebra. Its inverse problem, the selection of parameters of the transport system according to the beam properties, can be studied also. As examples, the improvement of the beam quality by means of the nonlinear element and the beam matching in the nonlinear periodic field system are discussed.