2000
DOI: 10.1103/physrevstab.3.122001
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Validity of coupling impedance bench measurements

Abstract: In this paper the validity of coupling impedance bench measurements is theoretically demonstrated for the standard model of a uniformly distributed wall impedance. Integral equations expressing the magnetic field at the wall are found for the two cases where the device is excited either by a beam or a central wire. The integral equations are solved by a perturbation method with the coupling impedance as the expansion parameter, leading to expressions for the coupling impedance of the beam and the forward scatt… Show more

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Cited by 19 publications
(12 citation statements)
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“…The question to what degree the bench impedance is a valid representation of the beam impedance requires a separate analysis and is beyond the scope of this paper. Theoretical 7,8 and experimental 9 work indicates that a remarkable agreement between actual and measured impedance is achieved with sufficiently thin wires.…”
Section: Introductionmentioning
confidence: 87%
“…The question to what degree the bench impedance is a valid representation of the beam impedance requires a separate analysis and is beyond the scope of this paper. Theoretical 7,8 and experimental 9 work indicates that a remarkable agreement between actual and measured impedance is achieved with sufficiently thin wires.…”
Section: Introductionmentioning
confidence: 87%
“…The question of to what degree the bench impedance is a valid representation of the beam impedance requires a separate analysis [7] and is beyond the scope of this paper, although certain results of the field analysis [8] are used here for error estimates. Theoretical and experimental [9] work suggest that agreement between actual and measured impedance can be achieved which is sufficient for the design requirements of accelerator/storage rings if several caveats are respected.…”
Section: Introductionmentioning
confidence: 99%
“…obtained in a reference tube of at least equal length and is interpreted according to the Hahn-Pedersen (HP) formula for lumped units [10],…”
mentioning
confidence: 99%