IMPEDANCES OF AN INFINITELY LONG AND AXISYMMETRIC MULTILAYER BEAM PIPE: MATRIX FORMALISM AND MULTIMODE ANALYSIS

Using B. Zotter’s formalism, we present here a novel, efficient and exact matrix method for the field matching determination of the electromagnetic field components created by an offset point charge travelling at any speed in an infinitely long circular multilayer beam pipe. This method improves by a factor of more than one hundred the computational time with three layers and allows the computation for more layers than three. We also generalize our analysis to any azimuthal mode and finally perform the summation on all such modes in the impedance formulae. In particular the exact multimode direct space-charge impedances (both longitudinal and transverse) are given, as well as the wall impedances to any order of precision.


Published in:
Proceedings of IPAC10
Presented at:
IPAC10, Kyoto, Japan, May 23 - 28, 2010
Year:
2010
Keywords:
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 Record created 2011-05-13, last modified 2018-03-17

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