Wake potentials and impedances of charged beams in gradually tapering structures

Burton, David A. and Christie, David C. and Smith, Jonathan D. A. and Tucker, Robin W. (2011) Wake potentials and impedances of charged beams in gradually tapering structures. Journal of Mathematical Physics, 52 (3). 032902. ISSN 0022-2488

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Abstract

We develop an analytical method for calculating the geometric wakefield and impedances of an ultrarelativistic beam propagating on- and off-axis through an axially symmetric geometry with slowly varying circular cross-section, such as a transition. Unlike previous analytical methods, our approach permits detailed perturbative investigation of geometric wakefields, and detailed perturbative investigation of impedance as a function of frequency. We compare the accuracy of the results of our approach with numerical simulations performed using the code ECHO and determine parameters in which there is good agreement with our asymptotic analysis.

Item Type:
Journal Article
Journal or Publication Title:
Journal of Mathematical Physics
Additional Information:
arXiv: 0906.0948 [physics.acc-ph]
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/asjc/2600/2610
Subjects:
?? mathematical physicsstatistical and nonlinear physicsqc physics ??
ID Code:
34087
Deposited By:
Deposited On:
26 Aug 2010 13:33
Refereed?:
Yes
Published?:
Published
Last Modified:
15 Jul 2024 11:04