Chinese Physics C > 1988, Vol. 12 > Issue(5): 652-657

A GENERAL FORMULA OF TUNE SPREAD CAUSED BY MIDDLE PLANE ASYMMETRICAL MAGNETIC FIELD ERRORS

ZHANG Chuang^,,
CHEN Si-Yu

Institute of High Energy Physics,Academia Sinica,Beijing

Abstract
HTML
Reference
Related

PDF

Abstract：
The betatron tune spread caused by magnetic field errors in accelerators is a very important parameter.In this paper a expression of middle plane asymmetrical magnetic field errors is obtained on the Maxwell equations,and a general formula formula of tune spread is derived starting from the transverse equations o motion.

References

[1]	A. W. Chao, M. J. Lee, and P. L. Morton: "Higher Order Multipole Magnet Tolerapces", IEEE Trans.NS-22, Vol. 3(1975), 6.[2] R. Servranchz: "Magnetic Field Quality Requirments for PEP", IEEE Trans. NS-24, Vol. 3(1977), 6

[1]	JIN Hua,ZHENG Ren-Rong,ZHU Shun-Quan,LI Jun-Qing. Chaotic Motion of Single Particle in the Potential of Nonaxial Octupole Deformation. Chinese Physics C, 2006, 30(2): 134-139.
[2]	WAN Ling-De,LU Gong-Ru,GAO Guang-Ping. gb→tH^－One Loop SUSY-QCD Corrections and Nondecoupling Effects. Chinese Physics C, 2003, 27(3): 189-195.
[3]	WANG Xiu-Lian,ZHANG Xin-Min. Dark Energy and Baryon Isocurvature Perturbation. Chinese Physics C, 2003, 27(10): 874-878.
[4]	HE Han-Xin. Symmetry Relations and the Consistent Nonperturbative Approach of Studying Hadronic Physics. Chinese Physics C, 2002, 26(S1): 73-76.
[5]	LI JunQing,LIU Fang,LI XiGuo,LUO YiXiao. Chaotic Motion of a Nucleon in Mean Field Potential with Octupole Deformation (Ⅲ) Study of Probability Density Distribution in Space-Temporal Variation of Initial Coherent States and the Strength of Disturbance. Chinese Physics C, 2000, 24(4): 337-341.
[6]	Luo Wendong,Li Xunjun. Descriptions for Nuclear System with Only One Geometrical Symmetry Plane. Chinese Physics C, 1998, 22(10): 915-919.
[7]	Wu Lianao,Liu Gang. A New Formula for the Spectra of Axial Symmetric and Transition Nuclei and a Quantity to Identify the Nuclear γ Deformation. Chinese Physics C, 1996, 20(4): 339-344.
[8]	Zhou Hongbo,Li Zhuxia,Zhuo Yizhong. Studying the influences of Mean Field and NN Cross Section on the Collective Flow at High and Intermediate Energy in the Relativistic VUU Approach. Chinese Physics C, 1995, 19(2): 156-164.
[9]	HAO San-Ru. The Hidden Symmetries and Their Algebraic Structure of the Static Axially Symmetric SDYM Fields. Chinese Physics C, 1993, 17(6): 538-543.
[10]	HAO San-Ru. A New Symmetric Transformation of the Static Axizlly Symmetric SDYM Fields. Chinese Physics C, 1993, 17(5): 412-416.
[11]	LOU Sen-Yue. Deconfinement Phase Transition for the Nontopological Soliton Bag Model and Symmetry Restore Phase Transition for φ⁴Model. Chinese Physics C, 1991, 15(9): 797-803.
[12]	QIU Rong. THE EQUIVALENCE OF TWO TRANSFORMATIONS OF THE INVARIANCE OF LAGRANGIAN FUNCTION IN NON-ABELIAN GAUGE FIELD. Chinese Physics C, 1989, 13(4): 302-308.
[13]	XU Gong-Ou. DYNAMIC DESCRIPTION OF THE NON-HERMITIAN MEAN PIELD ILLUSTRATED WITH A SCHEMATIC MODEL. Chinese Physics C, 1988, 12(2): 252-256.
[14]	WANG Shu-Hong. RESEARCH ON THE TRANSVERSE STABILITY OF THE CENTRAL BEAM IN A WAKE FIELD ACCELERATOR. Chinese Physics C, 1986, 10(6): 697-703.
[15]	LIU Ji-Ming,MAO Zhen-Lin. EXACT OPTICS FORMULA SET FOR THE UNIFORM-FIELD WEDGE MAGNET. Chinese Physics C, 1985, 9(5): 526-530.
[16]	RUAN Tu-Nan,LIU Zu-Wei,JING Si-Cong. CONFINEMENT PROPERTIES OF THE PURE GAUGE FIELDS ON COSET SPACE OF A NON-ABELIAN CHIRAL GROUP. Chinese Physics C, 1984, 8(2): 158-166.
[17]	ZHAO Guang-Ta,HUANG Chao-Shang. THE NEGATIVE METRIC THEORY FOR THE MASSIVE VECTOR MESON FIELD. Chinese Physics C, 1984, 8(1): 17-24.
[18]	HOU Bo-Yu,SHI Kang-Jie,WANG Yu-Bin,HOU Bo-Yuan,WANG Pei. THE NON-SELFDUAL SOLUTIONS OF CP(n) CHIRAL THEORY AND CORRESPONDING GAUGE FIELDS. Chinese Physics C, 1983, 7(2): 150-159.
[19]	Zhang Yuan-zhong,Zhao Zhi-yong. SUPERSYMMETRIC. Chinese Physics C, 1980, 4(3): 390-393.
[20]	HOU BO-YU,HOU BO-YUAN. ZERO ENERGY FERMION IN TOPOLOGICAL NONTRIVIAL SPHERICAL SYMMETRICAL FIELD ON MINKOWSKI SPACE. Chinese Physics C, 1979, 3(6): 697-707.

Access

Get Citation

ZHANG Chuang and CHEN Si-Yu. A GENERAL FORMULA OF TUNE SPREAD CAUSED BY MIDDLE PLANE ASYMMETRICAL MAGNETIC FIELD ERRORS[J]. Chinese Physics C, 1988, 12(5): 652-657.

ZHANG Chuang and CHEN Si-Yu. A GENERAL FORMULA OF TUNE SPREAD CAUSED BY MIDDLE PLANE ASYMMETRICAL MAGNETIC FIELD ERRORS[J]. Chinese Physics C, 1988, 12(5): 652-657. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

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

Article Metric

Article Views(3061)
PDF Downloads(450)
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

A GENERAL FORMULA OF TUNE SPREAD CAUSED BY MIDDLE PLANE ASYMMETRICAL MAGNETIC FIELD ERRORS

ZHANG Chuang^,
CHEN Si-Yu

Corresponding author:ZHANG Chuang,

Institute of High Energy Physics,Academia Sinica,Beijing

Received Date:1900-01-01
Accepted Date:1900-01-01
Available Online:1988-10-05

Abstract:The betatron tune spread caused by magnetic field errors in accelerators is a very important parameter.In this paper a expression of middle plane asymmetrical magnetic field errors is obtained on the Maxwell equations,and a general formula formula of tune spread is derived starting from the transverse equations o motion.