Accurate Computation on High Order Modes of Axial-symmetric Cavity with Vector Finite Element Method

  • Eigenfrequencies of high order modes in the axial-symmetric cavities are computed with a vector finite element method. Mathematics models and physics theories are combined in a rational way, which avoids the spurious modes caused by ordinary finite element methods. Using quadratic scalar and vector basis functions, high accuracy of results are available with few meshes. A code named Cafe is presented. It provides a good base for further research of wakefields of the detuned structures in next generation linear collider.
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  • [1] LI Zheng–Hai, Ko K, Vinay S T et al. Modeling Largr Heterogeneous RF Structures. In: National Accelerato Facility ed. Com–putational Accelerator Physics. Virginia: Williamsburg Press. 1997. 39–44 2 ZHAN Xiao–Wei. Transverse Wakefield Analysis For the NLC JLC Detuned Structures on a Parallel Computer. In: National Ac–celerator Facility ed. Computational Accelerator Physics. Virginia: Williamsburg Press. 1997. 389–393 3 Yamamoto M, KEK Preprint, Sept 1994. 94–954 JIN Jian–Ming. Finite Element Methed for Electromagnetic Fields. Xi' an: Press of Xidian University, 1998. 164–167(in Chinese)(金建铭.电磁场有限元方法.西安:西安电子科技大学出版社,1998 164—167)5 Zoltan J C. IEEE Transactions on Magnetics. 1991, 27(5)6 Eric M N. SLAC–PUB–5881, Aug. 1992 7 Weiland T. Malla Version 4. In: National Accelerator Facility ed. Computational Acceletaor Physics. Virginia: Williamsburg Press. 1997. 65–70
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WEI Shi and LIN Yu-Zheng. Accurate Computation on High Order Modes of Axial-symmetric Cavity with Vector Finite Element Method[J]. Chinese Physics C, 2001, 25(10): 1017-1021.
WEI Shi and LIN Yu-Zheng. Accurate Computation on High Order Modes of Axial-symmetric Cavity with Vector Finite Element Method[J]. Chinese Physics C, 2001, 25(10): 1017-1021. shu
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Received: 2000-11-20
Revised: 1900-01-01
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Accurate Computation on High Order Modes of Axial-symmetric Cavity with Vector Finite Element Method

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

Abstract: Eigenfrequencies of high order modes in the axial-symmetric cavities are computed with a vector finite element method. Mathematics models and physics theories are combined in a rational way, which avoids the spurious modes caused by ordinary finite element methods. Using quadratic scalar and vector basis functions, high accuracy of results are available with few meshes. A code named Cafe is presented. It provides a good base for further research of wakefields of the detuned structures in next generation linear collider.

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