Contour Function Theory for Transport of Charged Particle Beams

Yu Qingchang

Chinese Physics C> 1995, Vol. 19> Issue(S3) : 319-323

Contour Function Theory for Transport of Charged Particle Beams

Yu Qingchang

Institute of High Energy Physics, Chinese Academy of Sciences, Beijing, China

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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 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.
- charged particle beam ,
- beam transport ,
- contour function
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Yu Qingchang. Contour Function Theory for Transport of Charged Particle Beams[J]. Chinese Physics C, 1995, 19(S3): 319-323.

Yu Qingchang. Contour Function Theory for Transport of Charged Particle Beams[J]. Chinese Physics C, 1995, 19(S3): 319-323. shu

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Received: 1994-04-07

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Supported in part by the National Natural Science Foundation of China.

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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

Institute of High Energy Physics, Chinese Academy of Sciences, Beijing, China

Received Date: 1994-04-07

Fund Project: Supported in part by the National Natural Science Foundation of China.

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 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.