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Wake potentials and impedances of charged beams in gradually tapering structures

Research output: Contribution to Journal/MagazineJournal articlepeer-review

<mark>Journal publication date</mark>4/03/2011
<mark>Journal</mark>Journal of Mathematical Physics
Issue number3
Number of pages30
Pages (from-to)032902
Publication StatusPublished
<mark>Original language</mark>English


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.

Bibliographic note

arXiv: 0906.0948 [physics.acc-ph]