Phys. Rev. ST Accel. Beams 7, 044201 (2004) [15 pages]Resistive-wall wake and impedance for nonultrarelativistic beams
Frank Zimmermann *
Katsunobu Oide † 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/doi/10.1103/PhysRevSTAB.7.044201
* Electronic address: frank.zimmermann@cern.ch
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