Phys. Rev. ST Accel. Beams 2, 124402 (1999) [6 pages]Longitudinal coupling impedance of a plane conducting ring
In this paper, we propose a new method to evaluate the longitudinal coupling impedance of a charged particle passing perpendicularly through the center of a plane conducting ring. It is shown that the solution of the problem can be expressed as a double Neumann series, whose expansion coefficients can be easily computed. Moreover, we show the causality of the wake potential for a particle traveling at the speed of light. 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. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevSTAB.2.124402
DOI:
10.1103/PhysRevSTAB.2.124402
PACS:
41.75.-i, 41.20.-q, 29.27.-a
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