Some Considerations Concerning the Transverse Deflection of Charged Particles in Radio-Frequency Fields

Panofsky, Wolfgang K. H.; Wenzel, W.A.

doi:10.1063/1.1715427

Cited by 326 publications

(174 citation statements)

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“…Since the longitudinal electric field also differs by the sign only, the equality of the transverse single-beam and two-beam wake fields, except for the sign, can be attributed to the Panofsky-Wenzel theorem [7], which relates the transverse and longitudinal wake fields as ∂W ⊥ /(∂z) = ∂W || /(∂r), and which should hold for any force that can be derived from a Hamiltonian [8].…”

Section: Discussionmentioning

confidence: 99%

Two-beam resistive-wall wake field

Zimmermann

2007

2007 IEEE Particle Accelerator Conference (PAC)

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In storage-ring colliders, two beams propagating in opposite direction share a common beam pipe over parts or all of the ring circumference. The resistive-wall wake field coupling bunches of these two beams is different from the conventional single-beam wake field. The magnetic force and the longitudinal electric force experienced by a probe bunch invert their sign, while the transverse electric force does not. In addition, the distance between driving and probing bunches is not constant, but the net wake field must be obtained via an integration of the force experienced over the drive-probe distance. We here derive the two-beam resistive-wall wake field for a round beam pipe. Large Hadron Collider Project TWO-BEAM RESISTIVE-WALL WAKE FIELDF. Zimmermann, CERN, Geneva, Switzerland AbstractIn storage-ring colliders, two beams propagating in opposite direction share a common beam pipe over parts or all of the ring circumference. The resistive-wall wake field coupling bunches of these two beams is different from the conventional single-beam wake field. The magnetic force and the longitudinal electric force experienced by a probe bunch invert their sign, while the transverse electric force does not. In addition, the distance between driving and probing bunches is not constant, but the net wake field must be obtained via an integration of the force experienced over the drive-probe distance. We here derive the two-beam resistive-wall wake field for a round beam pipe.

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Section: Discussionmentioning

confidence: 99%

Two-beam resistive-wall wake field

Zimmermann

2007

2007 IEEE Particle Accelerator Conference (PAC)

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“…Here we give the Panofsky-Wenzel [96] re a 1 t ion of the transverse and longitudinal point wake functions, and consequently the relation of the transverse and longitudinal impedances. We then present the radial dependence of impedance modes due to Weiland [120].…”

Section: --(In Thmentioning

confidence: 99%

“…The Panofsky-Wenzel theorem [96] gives the relation between the longitudinal and transverse point wake functions: dwds, r> = 8.5 i 7~ w(v) . .w.…”

Section: A the Panofsky-wenzel Theoremmentioning

confidence: 99%

Coupling impedance for modern accelerators

Heifets¹,

Kheifets²

1992

AIP Conference Proceedings

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“…4.22 shows an arrangement for both inside and outside etching. The cavity fits into a tank so that to etch the cavity inside, acid is poured inside, and water is put around the outside to control temperature.…”

Section: An Etching Systemmentioning

confidence: 99%

An rf separated kaon beam from the Main Injector: Superconducting aspects

Edwards¹

1998

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Some Considerations Concerning the Transverse Deflection of Charged Particles in Radio-Frequency Fields

Cited by 326 publications

References 0 publications

Two-beam resistive-wall wake field

Two-beam resistive-wall wake field

Coupling impedance for modern accelerators

An rf separated kaon beam from the Main Injector: Superconducting aspects

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