# Calculating Field Distribution of a Linear Accelerator Using Equivalent Circuit Model

• Equivalent circuit model is used to calculate field distribution of a coupled cavity chain. An RF cavity can be represented as a resonant LC circuit and the coupler as an idealized transformer. By solving the equations of the circuit model and simulating each cavity shape, the field distribution of the entire cavity chain is calculated. This method is very useful in particle dynamics simulation and accelerator geometry design. Calculation result and experimental measurement of a 16MeV BTW(backward traveling wave) linac is presented.
•  [1] . LIN Yu-Zheng. Principle of Low Energy Electron Linear Accelerators. Teaching Materials, Tsinghua University,1990(in Chinese)(林郁正.低能电子直线加速器原理.清华大学讲义，1990)2. Nagel D E, Knapp E A, Knapp B C. Review of Scientic Instruments, 1967, 38(11): 15833. Sekutowicz J. IEEE Transactions on Nuclear Science, 1985,NS32: 28544. CHEN Huai-Bi et al. HEP NP, 1999, 23(5): 496-503(in Chinese)(陈怀璧等.高能物理与核物理，1999, 23(5):496-503)5. ZHENG Shu-Xin. Ph.D Thesis, Tsinghua University, 2000(in Chinese)(郑曙昕.清华大学博士论文，2000)6. BIAN Xiao-Hao et al. HEP NP, 2005, 29(9): 900-902(in Chinese)(边晓浩等.高能物理与核物理，2005, 29(9): 900-902)

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SHI Jia-Ru, ZHENG Shu-Xin and CHEN Huai-Bi. Calculating Field Distribution of a Linear Accelerator Using Equivalent Circuit Model[J]. Chinese Physics C, 2006, 30(7): 699-703.
SHI Jia-Ru, ZHENG Shu-Xin and CHEN Huai-Bi. Calculating Field Distribution of a Linear Accelerator Using Equivalent Circuit Model[J]. Chinese Physics C, 2006, 30(7): 699-703.
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Received: 2005-09-27
Revised: 2005-12-05
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沈阳化工大学材料科学与工程学院 沈阳 110142

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## Calculating Field Distribution of a Linear Accelerator Using Equivalent Circuit Model

###### Corresponding author: SHI Jia-Ru,
• Department of Engineering Physics, Tsinghua University, Beijing 100084, China

Abstract: Equivalent circuit model is used to calculate field distribution of a coupled cavity chain. An RF cavity can be represented as a resonant LC circuit and the coupler as an idealized transformer. By solving the equations of the circuit model and simulating each cavity shape, the field distribution of the entire cavity chain is calculated. This method is very useful in particle dynamics simulation and accelerator geometry design. Calculation result and experimental measurement of a 16MeV BTW(backward traveling wave) linac is presented.

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