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URL | https://doi.org/10.18429/JACoW-LINAC2024-MOPB043 |
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Title | Analysis of the Panofsky-Wenzel Theorem in pillbox cavities with a beam pipe |
Authors |
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Abstract | In this paper, we derive the multipolar form of the change in transverse and longitudinal momenta of an ultra-relativistic charged particle that traverses a harmonic TM$_{mn0}$ mode in a pillbox cavity with a beam pipe. The relevant equations are first formalised before presenting results from the numerical integration of RF cavity field maps. In particular, we show that the radial dependence of the change in transverse and longitudinal momenta through a TM$_{mn0}$ mode has polynomial, and not Bessel, dependence. |
Paper | download: MOPB043.pdf |
Cite | BibTeX, LaTeX, Text/Word, RIS, EndNote |
Conference | 32nd Linear Accelerator Conference (LINAC2024) |
Series | |
Location | Chicago, IL, USA |
Date | 25-30 Aug 2024 |
Publisher | JACoW Publishing, Geneva, Switzerland |
Editorial Board | Kelly Jaje (ANL), Kip Bishofberger (LANL), Ryan Brody (ANL), Gustavo Bruno (ANL), Jan Chrin (PSI), Cathy Eyberger (ANL), Maggie Montes (SLAC), Denise Skiadopoulos (ANL), Ling Wang (MSU/FRIB), Kent Wootton (ANL) |
Online ISBN | 978-3-95450-219-6 |
Online ISSN | 2226-0366 |
Received | 18 August 2024 |
Revised | 26 August 2024 |
Accepted | 26 August 2024 |
Issued | 23 October 2024 |
DOI | 10.18429/JACoW-LINAC2024-MOPB043 |
Pages | 143-146 |
Copyright | Published by JACoW Publishing under the terms of the Creative Commons Attribution 4.0 license. Any further distribution of this work must maintain attribution to the author(s), the published article's title, publisher, and DOI. |