Phys. Rev. ST Accel. Beams 7, 044201 (2004) [15 pages]Resistive-wall wake and impedance for nonultrarelativistic beams |
Frank Zimmermann *
CERN, AB Department, 1211 Geneva 23, Switzerland
Katsunobu Oide †
KEK, 1-1 Oho, Tsukuba-shi, Ibaraki-ken 305, Japan
Received 15 February 2004; published 9 April 2004
The usual formulas for the resistive-wall wake field are derived considering ultrarelativistic beams, traveling at the speed of light. This simplifies the calculation, and it leads to a cancellation between electric and magnetic fields. However, for proton beams below 10 GeV and for many heavy-ion beams, the velocities may significantly differ from the speed of light. In this paper, we compute the longitudinal and transverse wake fields for velocities smaller than c and examine under which conditions nonrelativistic effects become important. We illustrate our results by a few examples.
©2004 The American Physical Society
URL: http://link.aps.org/abstract/PRSTAB/v7/e044201
DOI: 10.1103/PhysRevSTAB.7.044201
PACS: 29.27.Bd, 29.20.Dh, 41.75.–i
* Electronic address: frank.zimmermann@cern.ch
† Electronic address: katsunobu.oide@kek.jp
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