Resistive-wall wake and impedance for nonultrarelativistic beams
Frank Zimmermann, Katsunobu Oide
Physical Review Special Topics. Accelerators and Beams · 2004
doi:10.1103/physrevstab.7.044201 (opens in a new tab)
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Abstract
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.
Abstract licence: CC BY
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