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《中国物理C》(英文)编辑部
2024年10月30日

Analysis of Single-Passband Dispersion Curves in Periodical Accelerating Structures

  • 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.
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  • [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)
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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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Analysis of Single-Passband Dispersion Curves in Periodical Accelerating Structures

    Corresponding author: WEI Shi,
  • Department of Engineering Physics,Tsinghua University, Beijing 100084, China

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.

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