Phys. Rev. ST Accel. Beams 7, 044201 (2004) [15 pages]Resistive-wall wake and impedance for nonultrarelativistic beams
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. This article is available under the terms of the Creative Commons Attribution 3.0 License. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevSTAB.7.044201
DOI:
10.1103/PhysRevSTAB.7.044201
PACS:
29.27.Bd, 29.20.Dh, 41.75.–i
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