Longitudinal and transverse impedance of an iris in a beam pipe
Physical Review E Volume 50 Issue 2
Page 1501-1515
published_at 1994-08
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| File | |
| Title ( eng ) |
Longitudinal and transverse impedance of an iris in a beam pipe
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| Creator |
Jiang Shicheng
Gluckstern Robert L.
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| Source Title |
Physical Review E
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| Volume | 50 |
| Issue | 2 |
| Start Page | 1501 |
| End Page | 1515 |
| Abstract |
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 |
Physics [ 420 ]
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| Language |
eng
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| Resource Type | journal article |
| Publisher |
The American Physical Society
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| Date of Issued | 1994-08 |
| Rights |
Copyright (c) 1994 The American Physical Society
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| Publish Type | Version of Record |
| Access Rights | open access |
| Source Identifier |
[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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