Longitudinal and transverse impedance of an iris in a beam pipe
Physical Review E 50 巻 2 号
1501-1515 頁
1994-08 発行
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| ファイル情報(添付) | |
| タイトル ( eng ) |
Longitudinal and transverse impedance of an iris in a beam pipe
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| 作成者 |
Jiang Shicheng
Gluckstern Robert L.
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| 収録物名 |
Physical Review E
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| 巻 | 50 |
| 号 | 2 |
| 開始ページ | 1501 |
| 終了ページ | 1515 |
| 抄録 |
The use of iris loaded cavities to accelerate high current bunched beams makes it important to understand the impedance and wake fields caused by an iris in a beam pipe. In this paper we present a method to calculate both the longitudinal and transverse impedance of a circular iris of radius b and thickness g in a circular beam pipe of radius a for ultrarelativistic particles. An integral equation is derived for the transverse electric field at the junction between the iris and the beam pipe and a variational expression is obtained for the impedance, using the transverse field as a trial function. Accurate numerical results are obtained for the longitudinal and transverse impedances using a trial function with only a few adjustable parameters. By invoking causality we confirm the analytic behavior of the impedances in the complex frequency plane and obtain the corresponding wake functions. We particularly explore the limit b→∞ to compare with previous studies of the impedance of a circular hole in a transverse metallic plane.
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| NDC分類 |
物理学 [ 420 ]
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| 言語 |
英語
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| 資源タイプ | 学術雑誌論文 |
| 出版者 |
The American Physical Society
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| 発行日 | 1994-08 |
| 権利情報 |
Copyright (c) 1994 The American Physical Society
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| 出版タイプ | Version of Record（出版社版。早期公開を含む） |
| アクセス権 | オープンアクセス |
| 収録物識別子 |
[ISSN] 1063-651X
[DOI] 10.1103/PhysRevE.50.1501
[NCID] AA10848730
[DOI] http://dx.doi.org/10.1103/PhysRevE.50.1501
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