Analysis of Third Order Quadrupole Aberrations

SONG Ming-Tao; YANG Xiao-Dong; YUAN You-Jin; YUAN Ping; ZHANG Wen-Zhi

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> 2004, Vol. 28> Issue(7) : 758-761

Analysis of Third Order Quadrupole Aberrations

Institute of Modern Physics,Chinese Academy of Sciences,Lanzhou 730000,China

Abstract
HTML
Reference
Related

PDF

Abstract：
The formulae of 3^rd order quadrupole aberrations are derived with Lie-algebraic map. It is the field extension along the axis that dominates the aberrations. For fixed focal length, the aberrations are small if the quadrupole length is long enough or its aperture is large enough. When the length is comparable to the aperture, the quadrupole with soft edge carries relatively small aberrations.

References

[1]

. Courant E D, Snyder H S. Annals of Physi cs, 1958, 3: 1-482. Ruth R. Lecture Notes in Physics, 1985, 247: 37-633. Dragt A, Finn J. J. Math. Phys. , 1976, 17: 2215-22274. Dragt A. American Inst itut e of Physics Proceedings, 1982, 87: 147-3135. Baartman R. Intrinsic Third Order Aberrat ions in Electrostatic and Mag..netic Quadrupoles. PAC97, 1997, 1415-1417

[1]	XING Zhi-Zhong , ZHOU Shun . Why is the 3×3 Neutrino Mixing Matrix Almost Unitary in Realistic Seesaw Models?. Chinese Physics C, 2006, 30(9): 828-832.
[2]	JIANG Jun-Qin . Third Order Result of the 0++ Glueball Wave Function for U(1) Improved Lattice Gauge Theory in Three-Dimensions. Chinese Physics C, 2005, 29(5): 447-450.
[3]	CAO Liang , HUANG Wen-Hui . Accurate Computation on High Order Modes of Axial-symmetric Cavity with The Third Order Vector Finite-Element Method. Chinese Physics C, 2005, 29(8): 793-796.
[4]	LU Jian-Qin , LI Jin-Hai , LI Chao-Long . Nonlinear Transport of the Intense Pulsed Gaussian Beams in Magnetic Quadrupoles. Chinese Physics C, 2003, 27(10): 926-931.
[5]	LI Jin-Hai , LI Chao-Long , LU Jian-Qin . Lie Algebraic Analysis for the Nonlinear Transport in Electrostatic Quadrupoles. Chinese Physics C, 2003, 27(7): 645-648.
[6]	SUN Bao-Gen , HE Duo-Hui , XU Hong-Liang , LI Jing-Yi , JIN Zheng-Fang , LU Ping , WANG Jun-Hua , WANG Lin . Preliminary Study on Measurement of Magnetic Center of Quadrupoles Using Quadrupole Shunt for Hefei Storage Ring. Chinese Physics C, 2002, 26(4): 416-422.
[7]	LV Jian-Qin . Third Order Lie Map for the Solenoidal Lenses. Chinese Physics C, 2002, 26(2): 186-191.
[8]	LV Jian-Qin . Third Order Lie Map for the Sextupole Magnets. Chinese Physics C, 2001, 25(4): 354-358.
[9]	Yu Qingchang , Guo Weiming . Focusing Properties of Radio-Frequency Quadrupole Lenses. Chinese Physics C, 1999, 23(3): 302-307.
[10]	Wang Shaoshun , Zhang Jie , Ye Yunxiu , Xiao Chenguo . Factorial Moments Continuous Order and Multifractal Analysisin 400GeV/c pp Collisions. Chinese Physics C, 1997, 21(9): 769-776.
[11]	YIN Zhao-Sheng , XU Jian-Ming . SOME METHODS OF PRODUCING LOCAL SKEW QUADRUPOLE FIELD IN ACCELERATOR RING. Chinese Physics C, 1988, 12(3): 361-364.
[12]	FU De-Ji , PAN Wei-Ping . THE APPLICATION OF GCM TO NUCLEAR QUADRUPOLE EXCITATION AND ITS RELATION TO IBM. Chinese Physics C, 1987, 11(4): 522-532.
[13]	YUAN Qin-Liang , WANG You-Zhi , SHI Cai-Tu , CHEN Guan-Xiong , ZHANG Shu-Xiang , CHEN Ren-Huai , LIU Mao-San . APPLICATION OF PERMANENT MAGNET LENSES IN ACCELERATORS BEAM TRANSPORT AND FOCUSING. Chinese Physics C, 1987, 11(1): 11-15.
[14]	WU Hua-Chuan . THE QUADRUPOLE OPERATOR IN s-d-g MODEL AND THE SPECTRUM OF DEFORMED NUCLEI. Chinese Physics C, 1986, 10(6): 715-719.
[15]	HOU Ren-Chang , ZHAO Xuan . QUADRUPOLE-OCTUPOLE TWO-PHONON EXCITATIONS IN INELASTIC SCATTERING. Chinese Physics C, 1983, 7(2): 236-244.
[16]	LIU Xian-Hui , LI Yang-Guo . QUADRUPOLE TRANSITION WITH π-NUCLEUS DOUBLE CHARGE EXCHANGE. Chinese Physics C, 1983, 7(2): 197-202.
[17]	YANG TSE-SEN , LIU YONG , TIAN XIAO-CEN . A DYSON REPRESENTATION OF THE INTERACTING BOSON MODEL WITH PAIRING PLUS QUADRUPOLE PAIRING PLUS QUADRUPOLE-QUADRUPOLE FORCES. Chinese Physics C, 1982, 6(4): 472-479.
[18]	LIU YU-CHENG , SHI CAI-TU , CHAO WEI . EFFECTIVE LENGTH MEASUREMENT OF PULSED QUADRUPOLE LENSE. Chinese Physics C, 1982, 6(4): 499-502.
[19]	LIU MAO-SAN , WU WEN-TA , I LI SHU-ZHEN , CHEN REN-HUAI . DISTRIBUTION OF 2-DIMENSIONAL FIELD OF PERMANENT MAGNETIC PLANE HEAD QUADRUPOLE AND ITS GEOMETRIC PARAMETER SELECTION. Chinese Physics C, 1981, 5(3): 381-385.
[20]	Sun Hong-zhou . ON THE WAVE FUNCTIONS OF THE NUCLEAR QUADRUPLE OSCILLATIONS. Chinese Physics C, 1980, 4(4): 478-492.

Access

Get Citation

SONG Ming-Tao, YANG Xiao-Dong, YUAN You-Jin, YUAN Ping and ZHANG Wen-Zhi. Analysis of Third Order Quadrupole Aberrations[J]. Chinese Physics C, 2004, 28(7): 758-761.

SONG Ming-Tao, YANG Xiao-Dong, YUAN You-Jin, YUAN Ping and ZHANG Wen-Zhi. Analysis of Third Order Quadrupole Aberrations[J]. Chinese Physics C, 2004, 28(7): 758-761. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2003-10-22
Revised: 1900-01-01

Article Metric

Article Views(2999)
PDF Downloads(603)
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

Analysis of Third Order Quadrupole Aberrations

Corresponding author: SONG Ming-Tao,

Institute of Modern Physics,Chinese Academy of Sciences,Lanzhou 730000,China

Received Date: 2003-10-22
Accepted Date: 1900-01-01
Available Online: 2004-07-05

Abstract: The formulae of 3^rd order quadrupole aberrations are derived with Lie-algebraic map. It is the field extension along the axis that dominates the aberrations. For fixed focal length, the aberrations are small if the quadrupole length is long enough or its aperture is large enough. When the length is comparable to the aperture, the quadrupole with soft edge carries relatively small aberrations.