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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