Analysis of Single-Passband Dispersion Curves in Periodical Accelerating Structures

WEI Shi; XING Qing-Zi; LIN Yu-Zheng

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《中国物理C》（英文）编辑部

2024年10月30日

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

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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

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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

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

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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.