Chinese Physics C > 2002, Vol. 26 > Issue(2): 180-185

Analysis of Single-Passband Dispersion Curves in Periodical Accelerating Structures

Department of Engineering Physics,Tsinghua University, Beijing 100084, China

Abstract
HTML
Reference
Related

PDF

Abstract：
The cavity mode method presented in this paper is used for analysis of the dispersion curves in periodical accelerating structures. At first,we computed the electromagnetic fields in a single cavity with the finite element method and construct the normalized orthogonalized short and open modes. Then it is assumed that the fields in the whole structure can be expanded linearly with these modes. Considering the Maxwell equations and the periodical boundary conditions,we get the relationship between the frequencies and the phase shifts. The parameters in the equation can be computed with the short and open modes. For the example of the disk loaded waveguide shown in this paper,it is very easy to obtain the single passband dispersion curves. The accuracy can reach 10 ^－6. The method can also be used to compute the high order modes that meet the requirement of the single passband.

References

[1]	. Bevensee R M. Electromagnetic Slow Wave Systems. New York: John Wiley Sone, Inc., 1964. 24—25, 92—101 2. WANG Lan-Fa, LIN Yu-Zheng. HEP NP, 2000, 24(6): 567—572(in Chinese)(王兰法, 林郁正. 高能物理与核物理, 2000, 24(6): 567—572)

[1]	SONG Rui-Ying,WU Cong-Feng,HE Xiao-Dong,DONG Sai. Simulation and Design of the Photonic Crystal Microwave Accelerating Structure. Chinese Physics C, 2007, 31(5): 501-505.
[2]	XU Peng,CHEN Huai-Bi,ZHENG Shu-Xin,GAO Feng,GAI Wei,SHI Jia-Ru,GUAN Xin. Simulation and Fabrication Research on X-Band Photonic Band Gap Accelerating Structure. Chinese Physics C, 2007, 31(7): 678-682.
[3]	ZHU Li-Hua. In-Beam γ-Ray Nuclear Structure Study in HI-13 Tandem Accelerator: Present and Future. Chinese Physics C, 2006, 30(S2): 127-130.
[4]	WU Cong-Feng,DONG Sai,LIN Hui,PEI Yuan-Ji. Calculations　of propagation characteristics and the model cavity investigations for a X-band hybrid dielectric-iris-loaded traveling accelerating structure. Chinese Physics C, 2006, 30(S1): 57-59.
[5]	LI Zhi-Hong,LIU Wei-Ping,BAI Xi-Xiang,LIAN Gang,WANG You-Bao,GUO Bing,ZENG Sheng,YAN Sheng-Quan,WANG Bao-Xiang,SU Jun. Nuclear Structure Studies on the Secondary Beam Facility of Beijing Tandem Accelerator. Chinese Physics C, 2006, 30(S2): 258-260.
[6]	FANG Shou-Xian,QIN Qing. Mechanism and Application of the Super-Periodic Structural Resonance in Storage Rings. Chinese Physics C, 2006, 30(9): 880-887.
[7]	PEI Shi-Lun,WANG Shu-Hong. Wake Field Calculation Studies in Constant Gradient Accelerating Structures. Chinese Physics C, 2006, 30(3): 251-259.
[8]	Juwen Wang. R&D of Accelerator Structures at SLAC. Chinese Physics C, 2006, 30(S1): 11-15.
[9]	HU Yuan,TANG Chuan-Xiang,CHEN Huai-Bi,TONG De-Chun,LIN Yu-Zheng. The Research of Multi-cell Thermionic RF Gun Injector Based on X-band DAW Accelerating Structure. Chinese Physics C, 2005, 29(7): 700-704.
[10]	LUO Cong-Ju,LIU Jing,XU Ji-An,XIAO Wan-Sheng,LI Hui,LI Xiao-Dong. Energy Dispersive X-Ray Diffraction Investigation of Beryllium Oxide under High Pressure. Chinese Physics C, 2005, 29(S1): 106-108.
[11]	BIAN Xiao-Hao,CHEN Huai-Bi,ZHENG Shu-Xin. Calculating of Coupling Factor for Double-Period Accelerating Structure. Chinese Physics C, 2005, 29(9): 900-902.
[12]	DONG Dong-Qiao,CHEN Wei,WEN De-Hua,LIU Liang-Gang. Study of the Relation Between a Mass and Nuclear Binding Energy in Chiral σ Model. Chinese Physics C, 2003, 27(10): 892-896.
[13]	WANG Lan-Fa. Comments on Variational Method Used in Accelerating Structure. Chinese Physics C, 2002, 26(1): 74-78.
[14]	FU Shi-Nian,GUAN Xia-Ling,FANG Shou-Xian. Equipartitioning Design Method of a Quasi-Periodic Focusing-Accelerating Coupled System. Chinese Physics C, 2002, 26(1): 79-86.
[15]	Ouyang Huafu,Yu Qingchang. Studies on the Behavior of High Intense Beam in the Periodic Filed. Chinese Physics C, 1999, 23(1): 65-71.
[16]	Chen Huaibi,Zheng Shuxin,bang Xiaodong,Lin Yuzheng. Research on Backward Traveling Wave Electron Linac. Chinese Physics C, 1999, 23(5): 496-503.
[17]	BES Collaborations. Experimental Study of Hadron Inclusive Production in J/ψ Region. Chinese Physics C, 1997, 21(11): 961-969.
[18]	Yao Lishan. Dispersion Optical Model Analysis of the Neutron Cross Section Anomalv for¹⁶O. Chinese Physics C, 1997, 21(8): 740-744.
[19]	Wang Jun,Cui Mingqi,Xu Wenxuan,Huang Yuying,Wang Dewu,Liu Jianfei,Xian Dingchang. Study on Structure of Multilayers by Synchrotron Radiation Small Angle Diffraction Method. Chinese Physics C, 1994, 18(1): 13-19.
[20]	ZHOU LI-NONG,XIE JIA-LIN. A BI-PERIODIC ACCELERATOR STRUCTURE. Chinese Physics C, 1979, 3(2): 165-175.

Access

Get Citation

WEI Shi, XING Qing-Zi and LIN Yu-Zheng. Analysis of Single-Passband Dispersion Curves in Periodical Accelerating Structures[J]. Chinese Physics C, 2002, 26(2): 180-185.

WEI Shi, XING Qing-Zi and LIN Yu-Zheng. Analysis of Single-Passband Dispersion Curves in Periodical Accelerating Structures[J]. Chinese Physics C, 2002, 26(2): 180-185. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2001-03-21
Revised: 1900-01-01

Article Metric

Article Views(4149)
PDF Downloads(651)
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 Single-Passband Dispersion Curves in Periodical Accelerating Structures

Corresponding author:WEI Shi,

Department of Engineering Physics,Tsinghua University, Beijing 100084, China

Received Date:2001-03-21
Accepted Date:1900-01-01
Available Online:2002-02-05

Abstract:The cavity mode method presented in this paper is used for analysis of the dispersion curves in periodical accelerating structures. At first,we computed the electromagnetic fields in a single cavity with the finite element method and construct the normalized orthogonalized short and open modes. Then it is assumed that the fields in the whole structure can be expanded linearly with these modes. Considering the Maxwell equations and the periodical boundary conditions,we get the relationship between the frequencies and the phase shifts. The parameters in the equation can be computed with the short and open modes. For the example of the disk loaded waveguide shown in this paper,it is very easy to obtain the single passband dispersion curves. The accuracy can reach 10^－6. The method can also be used to compute the high order modes that meet the requirement of the single passband.