Speaker
Andrea Latina
(European Organization for Nuclear Research)
Description
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.
Primary author
Laurence Wroe
(European Organization for Nuclear Research)
Co-authors
Andrea Latina
(European Organization for Nuclear Research)
Matthew Southerby
(Cockcroft Institute)
Robert Apsimon
(Cockcroft Institute)
Steinar Stapnes
(European Organization for Nuclear Research)
Walter Wuensch
(European Organization for Nuclear Research)
