Longitudinal and transverse impedance of an iris in a beam pipe
Use this link to cite this item : https://ir.lib.hiroshima-u.ac.jp/00020755
ID | 20755 |
file | |
creator |
Jiang, Shicheng
Gluckstern, Robert L.
|
NDC |
Physics
|
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.
|
journal title |
Physical Review E
|
volume | Volume 50
|
issue | Issue 2
|
start page | 1501
|
end page | 1515
|
date of issued | 1994-08
|
publisher | The American Physical Society
|
issn | 1063-651X
|
ncid | |
publisher doi | |
language |
eng
|
nii type |
Journal Article
|
HU type |
Journal Articles
|
DCMI type | text
|
format | application/pdf
|
text version | publisher
|
rights | Copyright (c) 1994 The American Physical Society
|
relation url | |
department |
Graduate School of Advanced Sciences of Matter
|