Analytical solution to the transient beam loading effects of a superconducting cavity
文献类型：期刊论文
| 作者 | Tao, Yue2,3; Zhang, Cong2; Zhao, Hong-Wei2 ; Li, Zhi-Hui1; Huang, Ran1,2,3; He, Yuan2,3; Wang, Zhi-Jun2; Yue, Wei-Ming2; Wu, An-Dong2,3; Yang, Qiong2
|
| 刊名 | CHINESE PHYSICS C
 |
| 出版日期 | 2017-10-01 |
| 卷号 | 41页码:8 |
| 关键词 | transient beam loading analytical solution reflected power |
| ISSN号 | 1674-1137 |
| DOI | 10.1088/1674-1137/41/10/107001 |
| 英文摘要 | Transient beam loading is one of the key issues in any high beam current intensity superconducting accelerators, and needs to be carefully investigated. The core problem in the analysis is to obtain the time evolution of effective cavity voltage under transient beam loading. To simplify the problem, the second order ordinary differential equation describing the behavior of the effective cavity voltage is intuitively simplified to a first order one, with the aid of two critical approximations which lack proof of their validity. In this paper, the validity is examined mathematically in some specific cases, resulting in a criterion for the simplification. It is popular to solve the approximate equation for the effective cavity voltage numerically, while this paper shows that it can also be solved analytically under the step function approximation for the driven term. With the analytical solution to the effective cavity voltage, the transient reflected power from the cavity and the energy gain of the central particle in the bunch can also be calculated analytically. The validity of the step function approximation for the driven term is examined by direct evaluations. After that, the analytical results are compared with the numerical ones. |
| 资助项目 | National Natural Science Foundation of China[11525523] ; National Natural Science Foundation of China[91426303] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000412409900015 |
| 出版者 | CHINESE PHYSICAL SOC |
| 资助机构 | National Natural Science Foundation of China |
| 源URL | [http://119.78.100.186/handle/113462/45666]  |
| 专题 | 近代物理研究所_兰州重离子研究装置 |
| 通讯作者 | Huang, Ran |
| 作者单位 | 1.Sichuan Univ, Chengdu 610064, Sichuan, Peoples R China 2.Chinese Acad Sci, Inst Modern Phys, Lanzhou 730000, Gansu, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Tao, Yue,Zhang, Cong,Zhao, Hong-Wei,et al. Analytical solution to the transient beam loading effects of a superconducting cavity[J]. CHINESE PHYSICS C,2017,41:8. |
| APA | Tao, Yue.,Zhang, Cong.,Zhao, Hong-Wei.,Li, Zhi-Hui.,Huang, Ran.,...&Yang, Qiong.(2017).Analytical solution to the transient beam loading effects of a superconducting cavity.CHINESE PHYSICS C,41,8. |
| MLA | Tao, Yue,et al."Analytical solution to the transient beam loading effects of a superconducting cavity".CHINESE PHYSICS C 41(2017):8. |
入库方式： OAI收割
来源：近代物理研究所
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