SPLINE FUNCTION REPRESENTATION FOR TRANSFORMATION OF PHASE SPACE WITH ARBITRARY CONTOURS

MAO Nai-Feng; LI Zeng-Hai

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1989, Vol. 13> Issue(5) : 445-450

SPLINE FUNCTION REPRESENTATION FOR TRANSFORMATION OF PHASE SPACE WITH ARBITRARY CONTOURS

MAO Nai-Feng ^, ,
LI Zeng-Hai

Institute of Atomic Energy,P.O.Box 275,Beijing

Abstract
HTML
Reference
Related

PDF

Abstract：
In order to study the transport of beams with arbitary phase space contours,the spline function representation of phase space contours is proposed in this paper.Having fitted the phase space contours with spline functions,phase space transformations are reduced to spline function transformations,and the envelopes of beams can bt expressed by spline functions.Some typical examples are presented to illustrate the usefulness of this method.

References

[1]

A. P. Banford, Tlie Transport of Charged Particle Beams. London, E. F N. Spon Limited, 1966.[2] C. Lejeune, in "Applied Charged Particle Opticsn (A. Seprier ed.), Part C, Academic Press. New York,1963, 267.[3] E. V. Shpak, Nucl. Instr. and Meth., 213(1963), 171.[4] Chen Yirbao and Xie Xi, Nucl. Instr. and .Meth., 224(1984), 27.[5] 孙家和，样条函数与计算几何，科学出版社，北京，1982，240-260.[6] K. L. Brown, SLAC-91, 1977.

[1]	G.D.Alton , H.Bilheux . Elementary Theory for Optimum Extraction of Space-Charge-Dominated Ion Beams from Plasma Boundaries. Chinese Physics C, 2007, 31(S1): 201-205.
[2]	HUANG Tao . Form Factors for B(B_c)→Dlν in Light-Cone Sum Rules with Chiral Current Correlator. Chinese Physics C, 2007, 31(9): 849-856.
[3]	QIU Jing , TANG Jing-Yu , WANG Sheng , WEI Jie . Studies of Transverse Phase Space Painting for the CSNS RCS Injection. Chinese Physics C, 2007, 31(10): 942-946.
[4]	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.
[5]	WANG Jian-Hua , LI Kang . Split Angular Momentum in Noncommutative Phase Space. Chinese Physics C, 2006, 30(11): 1053-1057.
[6]	DU Ying-Chao , XIANG Dao , HUANG Wen-Hui , HE Xiao-Zhong , CHENG Cheng , DU Tai-Bin , TANG Chuan-Xiang , LIN Yu-Zheng . Transverse Phase Space Measurement Based on Computerized Tomography. Chinese Physics C, 2006, 30(9): 888-891.
[7]	LI Hao-Hu , WANG Bing , ZHANG Jin-Quan , TANG Jing-Yu . Effect of Flat-Top Acceleration on Longitudinal Phase Space. Chinese Physics C, 2004, 28(8): 889-892.
[8]	GU An-Jia , ZHAO Kui , DING Yuan-Tao , ZHANG Bao-Cheng , QUAN Sheng-Wen , CHEN Jia-Er . Beam 2-D Phase-Space Measurement with CT and Cerenkov Radiation “Double Imaging Method”. Chinese Physics C, 2003, 27(5): 455-459.
[9]	OUYANG Hua-Fu . Effects of the Space Charge Forces and the Beam Halo in an AVF Cyclotron with Intense Beam Currents. Chinese Physics C, 2001, 25(6): 561-570.
[10]	Guo Zhongyan , Zhan Wenlong , Sun Zhiyu , Xiao Guoqing , Jiang Shanhong , Li Jiaxing , Meng Xiangwei , Wang Jinchuan , Zhang Wansheng , Qin Lijun , Wang Quanjin . RIBLL Beam Diagnostics. Chinese Physics C, 1999, 23(3): 237-243.
[11]	Lin Hai , Liu Lianshou . Application of Wavelet Transformation in Analysis of Multiplicity Phase Space. Chinese Physics C, 1998, 22(6): 529-537.
[12]	Li Ziping . Global Symmetry in Phase-Space Path Integral for a System With a Singular Lagrangian. Chinese Physics C, 1997, 21(1): 34-43.
[13]	Lin Hai , Zhang Yang , Liu Lianshou . An Analytic Study of Self-affine Fractal in Two-Dimensional Phase Space of High Energy Collisions. Chinese Physics C, 1996, 20(1): 65-75.
[14]	Wang Shaoshun , Zhang Jie , Ye Yunxiu , Xiao Chenguo . The Ratio of Factorial Cumulant to Factorial Moment Versus the Size of Phase Space. Chinese Physics C, 1996, 20(9): 783-788.
[15]	Li Ziping . Feynman Rules and Generalized Ward Identities in Phase Space Functional Integral. Chinese Physics C, 1996, 20(8): 698-702.
[16]	SONG Zhong-Heng , WANG Xiao-Min . Calculation of Space Charge Field for Annulus and Disc Bunch of Charged Particles. Chinese Physics C, 1991, 15(1): 7-12.
[17]	HE Wei-Ning . SYNTACTIC ANALYSIS OF DEFORMED EMITTANCE SHAPE MEASUREMENTS. Chinese Physics C, 1990, 14(5): 393-398.
[18]	WEI Kai-Yu , LIN Zhen-Hua . THE DESIGN AND STUDY OF SPACE CHARGE EFFECT FOR THE BPL 750keV BEAM TRANSPORT SYSTEM. Chinese Physics C, 1984, 8(5): 588-595.
[19]	WEI KAI-YU . EQUATION OF BEAM ENVELOP FUNCTIONS AND THEIR APPROXIMATE SOLUTIONS. Chinese Physics C, 1981, 5(6): 687-693.
[20]	Yu Qing-chang . THEORY OF NONLINEAR SPACE-CHARGE EFFECTS OF LOW ENERGY INTENSE CHARGED PARTICLE BEAMS. Chinese Physics C, 1980, 4(5): 579-587.

Access

Get Citation

MAO Nai-Feng and LI Zeng-Hai. SPLINE FUNCTION REPRESENTATION FOR TRANSFORMATION OF PHASE SPACE WITH ARBITRARY CONTOURS[J]. Chinese Physics C, 1989, 13(5): 445-450.

MAO Nai-Feng and LI Zeng-Hai. SPLINE FUNCTION REPRESENTATION FOR TRANSFORMATION OF PHASE SPACE WITH ARBITRARY CONTOURS[J]. Chinese Physics C, 1989, 13(5): 445-450. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(2157)
PDF Downloads(430)
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

SPLINE FUNCTION REPRESENTATION FOR TRANSFORMATION OF PHASE SPACE WITH ARBITRARY CONTOURS

MAO Nai-Feng ^,
LI Zeng-Hai

Corresponding author: MAO Nai-Feng,

Institute of Atomic Energy,P.O.Box 275,Beijing

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1989-05-05

Abstract: In order to study the transport of beams with arbitary phase space contours,the spline function representation of phase space contours is proposed in this paper.Having fitted the phase space contours with spline functions,phase space transformations are reduced to spline function transformations,and the envelopes of beams can bt expressed by spline functions.Some typical examples are presented to illustrate the usefulness of this method.