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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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/researchoutput/libraryofcongress/qc
Departments: Faculty of Science and Technology > Physics
ID Code: 34087
Deposited By: Dr David Burton
Deposited On: 26 Aug 2010 13:33
Refereed?: Yes
Published?: Published
Last Modified: 01 Jan 2020 07:00
URI: https://eprints.lancs.ac.uk/id/eprint/34087

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