TIME-DOMAIN ANALYSIS OF A CHARGED-PARTICLE TRAVELING ALONG THE AXIS OF A CIRCULAR WAVE-GUIDE

Citation
G. Miano et al., TIME-DOMAIN ANALYSIS OF A CHARGED-PARTICLE TRAVELING ALONG THE AXIS OF A CIRCULAR WAVE-GUIDE, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 111(5), 1996, pp. 659-664
Citations number
5
Categorie Soggetti
Physics
ISSN journal
11241888
Volume
111
Issue
5
Year of publication
1996
Pages
659 - 664
Database
ISI
SICI code
1124-1888(1996)111:5<659:TAOACT>2.0.ZU;2-1
Abstract
The aim of this note is to demonstrate that the electromagnetic field, in the time domain, sustained by a point charge moving at a constant velocity along the axis of a circular waveguide can be expanded by mea ns of a Fourier-Bessel series. This expansion is rapidly convergent in the complementary range of the classical integral representations, na mely for large values of \z' - vt'\. Quickly convergent expansions are necessary for tracking codes to simulate beam dynamics in accelerator s.