Transformation Groups in Beam Optics (Ⅰ) General Theory

YU Qing-Chang

Chinese Physics C> 1993, Vol. 17> Issue(10) : 878-884

Transformation Groups in Beam Optics (Ⅰ) General Theory

YU Qing-Chang ^,

Institute of High Energy Physics,Academia Sinica,Beijing 100039

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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 compose several groups—the beam transport group (BT group),contour preserving group (CP group),distribution preserving group (DP group) and so on.The principal problems of beam optics can be reduced to two:the determination of the eigen phase space contour of a transformation and the determination of the transformation can preserve the shape of a phase space contour.

References

[1]

J. M. Jowett,M. Month, S. Turner(eds.)，Nonlinear Dynamics Aspects of Particle Accelerators, Springer-Ver-lag , Berlin ,1986.[2]A. J. Dragt,Lectures on Nonlinear Orbit Dynamics,AIP Conf. Proc. 87, New York, 1982,p. 147.[3]A. J. Dragt,Nucl.lnstr. Meth. ,A258(1987),339.[4]M.Berz. Nucl.lnstr. Meth. ,A298(1990),426.[5]M.Berz. Particle Accelerators 24(1989),109.[6]A. J. Lichtenberg M. A. Lieberman, Regular and Stochastic Motion,孙ringer-Verlag, New York,1983.

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YU Qing-Chang. Transformation Groups in Beam Optics (Ⅰ) General Theory[J]. Chinese Physics C, 1993, 17(10): 878-884.

YU Qing-Chang. Transformation Groups in Beam Optics (Ⅰ) General Theory[J]. Chinese Physics C, 1993, 17(10): 878-884. 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

Transformation Groups in Beam Optics (Ⅰ) General Theory

YU Qing-Chang ^,

Corresponding author: YU Qing-Chang,

Institute of High Energy Physics,Academia Sinica,Beijing 100039

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1993-10-05

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 compose several groups—the beam transport group (BT group),contour preserving group (CP group),distribution preserving group (DP group) and so on.The principal problems of beam optics can be reduced to two:the determination of the eigen phase space contour of a transformation and the determination of the transformation can preserve the shape of a phase space contour.