Work

Analysis of the Panofsky-Wenzel Theorem in pillbox cavities with a beam pipe

Year: 2024

Type: article

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.

Source: CERN Document Server (European Organization for Nuclear Research)

DOI: 10.18429/jacow-linac2024-mopb043

Authors: Wroe,Laurence, Latina,Andrea, Southerby,Matthew, Apsimon,Robert, Stapnes,Steinar, Wuensch,Walter

Institutions: European Organization for Nuclear Research, Cockcroft Institute

Language: English

Topic: Particle accelerators and beam dynamics

Subfield: Aerospace Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W6906915200

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