Transformation Groups in Beam Optics (I): General Theory

Yu Qingchang

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2024年10月30日

Chinese Physics C> 1993, Vol. 17> Issue(S3) : 231-237

Transformation Groups in Beam Optics (I): General Theory

Yu Qingchang

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

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Abstract：
The motion of charged particle beams in a beam optical system can be described by means of the transformations of the phase space contours and particle distribution functions. These transformations comprise several groups:the beam transport (BT) group, contour preserving (CP) group, distribution preserving (DP) group, etc. The principal problems of beam optics can be reduced to the following:the determination of the eigen phase space contour of a transformation and the determination of the transformation in which the shape of a phase space contour can be preserved.

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Yu Qingchang. Transformation Groups in Beam Optics (I): General Theory[J]. Chinese Physics C, 1993, 17(S3): 231-237.

Yu Qingchang. Transformation Groups in Beam Optics (I): General Theory[J]. Chinese Physics C, 1993, 17(S3): 231-237. shu

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Received: 1992-07-29

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Transformation Groups in Beam Optics (I): General Theory

Yu Qingchang

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

Received Date: 1992-07-29

Abstract: The motion of charged particle beams in a beam optical system can be described by means of the transformations of the phase space contours and particle distribution functions. These transformations comprise several groups:the beam transport (BT) group, contour preserving (CP) group, distribution preserving (DP) group, etc. The principal problems of beam optics can be reduced to the following:the determination of the eigen phase space contour of a transformation and the determination of the transformation in which the shape of a phase space contour can be preserved.