INCREASE OF BEAM PROJECTIVE EMITTANCE IN SYSTEM WITH DISPERSION

WEI Kai-Yu

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2024年10月30日

Chinese Physics C> 1983, Vol. 7> Issue(5) : 589-597

INCREASE OF BEAM PROJECTIVE EMITTANCE IN SYSTEM WITH DISPERSION

WEI Kai-Yu ^,

Institute of High Energy Physics, Academia sinica

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Abstract：
In this paper, the increase of beam projective emittance caused by the momentum dispersion in the transport systems is discussed, and the incrementary ratio is derived. If the bending plane is (XOZ), the incrementary ratio of the transversal emittance is

and the longitudinal one is

Here ε_x0 and ε_z0 are original emittances in the x-direction and z-direction respectively, (Δp/p)_maxis beam momentum spread β_xf, α_xf, γ_xf being acceptance parameters of the system in x-direction for betatron oscillations, η and η' are dispersion function and its derivative.

References

[1]	K. L. Brown, SL.AC-TS (1972),[2] K. L. Brown, et. al. CERN-73-16 (1973).[3] 魏开煌、陈伯飞等, 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(1979).[4] 魏开爆, 带电束流传输理论, 北京电机工程学会(1980).

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[2]	. CCD Camera System designing for the Beam Diagnose using OTR. Chinese Physics C, 2008, 32(1): 67-71. doi: 10.1088/1674-1137/32/1/015
[3]	HUANG Guo-Qing , YE Kai-Rong . Beam Measurement Using Digital Technology. Chinese Physics C, 2008, 32(S1): 142-144.
[4]	AN Shi-Zhong , TANG Jing-Yu , . Emittance Dominated Long Bunches in Dual Harmonic RF Systems. Chinese Physics C, 2008, 32(1): 60-66. doi: 10.1088/1674-1137/32/1/014
[5]	M.P.Stockli . Measuring and Analyzing Transverse Low-Energy Ion Beam Emittances. Chinese Physics C, 2007, 31(S1): 182-186.
[6]	ZHENG Jian-Hua , LIU Wei , WANG Yi-Fang , WANG Yan-Mou , MA Wei-Nian , YIN Yan , SONG Hai-Hong . High Sensitivity Beam Phase Measurement System for Isochronous Cyclotron. Chinese Physics C, 2007, 31(3): 303-306.
[7]	LIU Yu-Dong , GUO Zhi-Yuan , Qin Qing , WANG Jiu-Qing , ZHAO Zheng . Transverse Blowup along Bunch Train Caused by Electron Cloud in BEPC. Chinese Physics C, 2006, 30(3): 260-263.
[8]	SUN Bao-Gen , ZHENG Pu , LU Ping , XU Hong-Liang , WANG Jun-Hua , WANG Ji-Gang , WANG Bao-Yun . Development of New Beam Profile and Emittance Measurement System for HLS. Chinese Physics C, 2006, 30(8): 792-796.
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[11]	DAI Zhi-Yong , GUO Zhi-Yuan , ZHANG Lin-Wen . Mechanism and Control Methods of Emittance Growth for LIA Injector. Chinese Physics C, 2004, 28(9): 1002-1006.
[12]	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.
[13]	XING Qing-Zi , FU Shi-Nian , LIN Yu-Zheng , FANG Shou-Xian . Calculation of Beam Acceptance for RFQ Accelerators. Chinese Physics C, 2003, 27(7): 628-632.
[14]	WANG Shu-Hong , YE Qiang , CAO Jian-She , MA Li , LIU Yu-Cheng , LE Qi , PEI Guo-Xi , ZHANG Jia-Fei . Emittance Measurement by Multi-Changing Focusing Strength. Chinese Physics C, 2002, 26(11): 1184-1188.
[15]	Chen Yinbao , Huang Zhibin . Nonlinear Space Charge Effects and Emittance Growth in Linac. Chinese Physics C, 1999, 23(12): 1231-1242.
[16]	Chen Yinbao , Huang Zhibin , FuShinian . Scaling Law of Emittance Growth for Bunched Beam with Gaussian Density Distribution in Both Longitudinal and Transverse Directions in Linac. Chinese Physics C, 1997, 21(7): 657-663.
[17]	Xu Jianming . Matching Problem of Lattice with Transverse Coupling. Chinese Physics C, 1995, 19(1): 73-81.
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[20]	WEI KAI-YU . THE BEAM ENVELOP ANALYSIS FOR NONPERIODIC SYSTEMS. Chinese Physics C, 1981, 5(3): 328-333.

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WEI Kai-Yu. INCREASE OF BEAM PROJECTIVE EMITTANCE IN SYSTEM WITH DISPERSION[J]. Chinese Physics C, 1983, 7(5): 589-597.

WEI Kai-Yu. INCREASE OF BEAM PROJECTIVE EMITTANCE IN SYSTEM WITH DISPERSION[J]. Chinese Physics C, 1983, 7(5): 589-597. shu

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

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沈阳化工大学材料科学与工程学院沈阳 110142

INCREASE OF BEAM PROJECTIVE EMITTANCE IN SYSTEM WITH DISPERSION

WEI Kai-Yu ^,

Corresponding author: WEI Kai-Yu,

Institute of High Energy Physics, Academia sinica

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1983-10-05

Abstract: In this paper, the increase of beam projective emittance caused by the momentum dispersion in the transport systems is discussed, and the incrementary ratio is derived. If the bending plane is (XOZ), the incrementary ratio of the transversal emittance is

and the longitudinal one is

Here ε_x0 and ε_z0 are original emittances in the x-direction and z-direction respectively, (Δp/p)_maxis beam momentum spread β_xf, α_xf, γ_xf being acceptance parameters of the system in x-direction for betatron oscillations, η and η' are dispersion function and its derivative.