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Phys. Rev. E 64, 046504 (2001) [6 pages]

Small-angle approximation in the description of radiative collective effects within an ultrarelativistic electron bunch

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Gianluca Geloni*, Vladimir Goloviznin, Jan Botman, and Marnix van der Wiel
Department of Applied Physics, Technische Universiteit Eindhoven, P. O. Box 513, 5600 MB Eindhoven, The Netherlands

Received 11 April 2001; published 25 September 2001

The problem of the evaluation of radiative collective effects accompanying accelerated motion of a short ultrarelativistic electron bunch in vacuum is considered within the framework of the small-angle approximation; second order expansion in the transverse velocity of electrons is performed in order to obtain an analytical expression for energy spread within the bunch. Comparison with earlier results by other authors shows good agreement.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.64.046504
DOI:
10.1103/PhysRevE.64.046504
PACS:
29.27.Bd, 41.60.-m, 41.75.Ht

*Email address: g.a.geloni@tue.nl