THE BEAM ENVELOP ANALYSIS FOR NONPERIODIC SYSTEMS

WEI KAI-YU

Chinese Physics C> 1981, Vol. 5> Issue(3) : 328-333

THE BEAM ENVELOP ANALYSIS FOR NONPERIODIC SYSTEMS

WEI KAI-YU

Institute of High Energy Physics, Academia Sinica

Abstract
HTML
Reference
Related

PDF

Abstract：
The beam envelops for non-periodic alternating gradient focusing system is analysed. The accurate analytic expressions of the beam envelop function β is obtained by solving the following non-linear differential equation:(√β)^н+Q(Z)√β-1/(√β)³=0,
The conditions of existing the maximum and the minimum of beam envelop are discussed. And we have derived the accurate formulae with which one can calculate the maximum and the minimum values of envelop and their position. The method developed in this paper is different from the convintional matrix computational method. Both methods can be checked by each other.

References

[1]	魏开煌、陈伯飞、粱灿如、王林林,束流输运系统计算程序《TR(1)》汇编,中国科学院高能物理研究所内部报告(1979).

[1]	HUANG Guo-Qing , YE Kai-Rong . Beam Measurement Using Digital Technology. Chinese Physics C, 2008, 32(S1): 142-144.
[2]	XUAN Ke , WANG Lin , WANG Ji-Gang , LI Wei-Min , LIU Gong-Fa , LI Chuan , XU Hong-Liang , BAO Xun . Control System of Slow Beam Orbit Feedback on MATLAB for HLS. Chinese Physics C, 2008, 32(S1): 99-101.
[3]	ZHAO Xiao-Yan , CAO Jian-She , WANG Lin , YUE Jun-Hui , YE Qiang , SUI Yan-Feng , ZHAO Ying , MA Hui-Zhou , ZHAO Jing-Xia , ZHANG Guo-Qing , ZHAO Zheng , Zhang Lei . Beam Loss Monitoring System of BEPCⅡ and Its First Application. Chinese Physics C, 2008, 32(S1): 80-82.
[4]	G.S.Taki¹ , P.R.Sarma¹ , A.G.Drentje² , T.Nakagawa³ , P.K.Ray⁴ , R.K.Bhandari¹ . Observation of Burst Frequency in Extracted ECR Ion Current. Chinese Physics C, 2007, 31(S1): 170-173.
[5]	SONG Yuan-Jun , WANG Shun-Jin , ZHANG Guang-Biao . Nonadiabatic Geometric Phase and Hannay's Angle of the Nonautonomous Landau System in a Rotating Magnetic Field. Chinese Physics C, 2005, 29(7): 639-643.
[6]	ZHAO Xiao-Yan , ZHENG Jian-Hua , WANG Yi-Fang , ZHAO Zhi-Zheng , ZU Kai-Ling . A New Detecting System of the Beam Profile. Chinese Physics C, 2004, 28(11): 1184-1187.
[7]	HU Chun-Liang . Beam-Based Calibration System of BPM Offset on BEPC. Chinese Physics C, 2004, 28(2): 200-204.
[8]	XU Jian-Ming , JI Guo-Kun . Relations between the Beam Characteristics on the Target and the Parameters of the Beam Transport System. Chinese Physics C, 2004, 28(5): 537-540.
[9]	ZHU Kun , ZHANG Jin-Quan , TANG Jing-Yu , YIN Quan-Min , ZHAN Wen-Long . New Beam Distribution System. Chinese Physics C, 2003, 27(8): 731-734.
[10]	WANG Jun-Hua , SHEN Lian-Guan , WANG Gui-Cheng , LIU Jian-Hong . Calibration and Error Calculation for the Newly BPM System in HLS. Chinese Physics C, 2001, 25(11): 1120-1127.
[11]	Ouyang Huafu , Yu Qingchang . Studies on the Behavior of High Intense Beam in the Periodic Filed. Chinese Physics C, 1999, 23(1): 65-71.
[12]	Ma Li , Shi Ping , Ye Kairong . Upgrade of BPM System for the BEPC Storage Ring. Chinese Physics C, 1998, 22(5): 475-480.
[13]	Huang Zhibin , Chen Yinbao . Simulation of Halo Formation in Breathing Round Beams in a Uniform or Periodic Focusing Channel. Chinese Physics C, 1998, 22(10): 943-950.
[14]	Xu Jianming . Matching Problem of Lattice with Transverse Coupling. Chinese Physics C, 1995, 19(1): 73-81.
[15]	HE Wei-Ning . SYNTACTIC ANALYSIS OF DEFORMED EMITTANCE SHAPE MEASUREMENTS. Chinese Physics C, 1990, 14(5): 393-398.
[16]	XU Jian-Ming , XU Qing . ANALYSIS OF THE PERFORMANCE OF A NEW TYPE OF LINEAR PERIODIC MAGNETS. Chinese Physics C, 1988, 12(4): 513-520.
[17]	WEI Kai-Yu . INCREASE OF BEAM PROJECTIVE EMITTANCE IN SYSTEM WITH DISPERSION. Chinese Physics C, 1983, 7(5): 589-597.
[18]	WEI KAI-YU . EQUATION OF BEAM ENVELOP FUNCTIONS AND THEIR APPROXIMATE SOLUTIONS. Chinese Physics C, 1981, 5(6): 687-693.
[19]	Wei Kai-yu , Lin Zhen-hua . A COMPUTATIONAL METHOD FOR THE DESIGN ENERGY HIGH INTENSITY BEAM TRANSPORT SYSTEMS. Chinese Physics C, 1980, 4(5): 555-562.
[20]	WU DAN-DI , WU JING-YUAN , LI XIAO-YUAN . AN ANALYSIS OF FOUR-ELEMENT MODELS OF LEPTONS AND NON-DIAGONAL NEUTRAL CURRENTS. Chinese Physics C, 1978, 2(1): 42-48.

Access

Get Citation

WEI KAI-YU. THE BEAM ENVELOP ANALYSIS FOR NONPERIODIC SYSTEMS[J]. Chinese Physics C, 1981, 5(3): 328-333.

WEI KAI-YU. THE BEAM ENVELOP ANALYSIS FOR NONPERIODIC SYSTEMS[J]. Chinese Physics C, 1981, 5(3): 328-333. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 1980-02-11
Revised: 1900-01-01

Article Metric

Article Views(2083)
PDF Downloads(263)
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

THE BEAM ENVELOP ANALYSIS FOR NONPERIODIC SYSTEMS

WEI KAI-YU

Institute of High Energy Physics, Academia Sinica

Received Date: 1980-02-11
Accepted Date: 1900-01-01
Available Online: 1981-06-05

Abstract: The beam envelops for non-periodic alternating gradient focusing system is analysed. The accurate analytic expressions of the beam envelop function β is obtained by solving the following non-linear differential equation:(√β)^н+Q(Z)√β-1/(√β)³=0,
The conditions of existing the maximum and the minimum of beam envelop are discussed. And we have derived the accurate formulae with which one can calculate the maximum and the minimum values of envelop and their position. The method developed in this paper is different from the convintional matrix computational method. Both methods can be checked by each other.