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

Abstract
HTML
Reference
Related

PDF

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.

[1]	ZHENG Kai,WANG Jun-Hua,LIU Zu-Ping,LI Wei-Min,SUN Bao-Gen,LIU Jian-Hong,YANG Yong-Liang,ZHOU Ze-Ran,CHEN Yuan-Bo,HUANG Long-Jun. Application of Hilbert-Transform-Phase-Space-Reconstruction in HLS Bunch-by-Bunch System. Chinese Physics C, 2007, 31(3): 307-310.
[2]	LU Jian-Qin,LI Jin-Hai. Computer Codes for the Beam Optics Calculations —Third Order Approximation. Chinese Physics C, 2006, 30(S1): 25-27.
[3]	WANG Shu-Hong,GU Peng-Da,WANG Jiu-Qing,LIU Yu-Cheng,PEI Guo-Xi,PEI Shi-Lun,ZHOU Zu-Sheng,LIU Wei-Bin. Studies on Optimizing Beam Optics and Orbit Correction for BEPCⅡ-Linac. Chinese Physics C, 2003, 27(2): 173-177.
[4]	GUO Zhi-Yuan,QIN Qing,ZHANG Chuang,MA Li. Study on Beam Photoelectron Instability in BEPC. Chinese Physics C, 2001, 25(3): 251-257.
[5]	Lin Hai,Liu Lianshou. Application of Wavelet Transformation in Analysis of Multiplicity Phase Space. Chinese Physics C, 1998, 22(6): 529-537.
[6]	Yu Qingchang. Transformation Groups in Beam Optics ──(Ⅱ) Beam Optical Elements and Systems. Chinese Physics C, 1994, 18(2): 114-118.
[7]	FENG Da-Chun,LIU Wen-Qin,MA Zhong-Yu. Analyses of Relativistic Optical Potential for Medium Energy Proton. Chinese Physics C, 1993, 17(4): 372-378.
[8]	YAN Xun-Ling. Corrected MK Transformation of Z_NGauge Theory. Chinese Physics C, 1992, 16(6): 499-504.
[9]	QIU Rong. Constraint on the Parameter of Group By Two Order Transformation of Field Variable Being Equal to Zero in Non-Abelian. Chinese Physics C, 1991, 15(2): 111-116.
[10]	HUANG Ye-Cheng. Beam Optics Principle of the ISOLAN Facility. Chinese Physics C, 1991, 15(3): 234-239.
[11]	HU Nai-Xiong,XIMEN Ji-Ye. The Beam Optics of Electric Multipole Lens. Chinese Physics C, 1991, 15(3): 193-199.
[12]	MAO Nai-Feng,LI Zeng-Hai. SPLINE FUNCTION REPRESENTATION FOR TRANSFORMATION OF PHASE SPACE WITH ARBITRARY CONTOURS. Chinese Physics C, 1989, 13(5): 445-450.
[13]	LUO Xiang-Qian,CHEN Qi-Zhou,GUO Shuo-Hong. VACUUM OF 2+1 DIMENSIONAL SU(2) LGT WITH FERMIONS AND SPONTANEOUS CHIRAL SYMMETRY BREAKING. Chinese Physics C, 1989, 13(4): 328-333.
[14]	LU Jian-Xin,RUAN Tu-Nan. GAUGE TRANSFORMATION IN STRING THEORY. Chinese Physics C, 1989, 13(4): 309-315.
[15]	XU Zai-Xin. IMPROVED MIGDAL-KADANOFF TRANSFORMATION FOR Z_NLATTICE GAUGE THEORIES. Chinese Physics C, 1988, 12(2): 169-177.
[16]	MAO Nai-Feng,XIAO Yi-Xuan,CAI Zhi-Guo,XU Jian-Ming. ION OPTICAL CHARACTERISTICS OF MAGNETIC QUADRUPOLE MULTIPLET MICROBEAM-FORMING SYSTEMS. Chinese Physics C, 1986, 10(4): 474-485.
[17]	YU Zu-Rong. TRANSFORMATION COEFFICIENTS BETWEENSO(6) ANDSU(4) GELFAND-ZETLIN STATES. Chinese Physics C, 1983, 7(1): 121-125.
[18]	LI Guang-Lie. PUALI-BLOCKING EFFECT IN THE OPTICAL POTENTIAL DERIVED FROM MULTIPLE-SCATTERING THEORY. Chinese Physics C, 1983, 7(4): 526-528.
[19]	ZENG GAO-JIAN. THE IRREDUCIBLE REPRESENTATIONS AND THEIR OCCUPATION NUMBER IN DIRECT MULTIPLICATION OF IRREDUCIBLE REPRESENTATIONS OFSU₃GROUP. Chinese Physics C, 1981, 5(1): 82-91.
[20]	WU YONG-SHI,CHEN SHIH,TU TUNG-SHENG,GUO HAN-YING. DUAL CHARGES OF A SUBGROUP IN GAUGE THEORIES——MAGNETIC MONOPOLES OFSU₂&SO₃GAUGE FIELD. Chinese Physics C, 1977, 1(1): 52-64.

Access

Get Citation

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

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3605)
PDF Downloads(416)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者:陈斌, bchen63@163.com

1.
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.