Influence of the fringe field on moving of the charged particles in flat and cylindrical capacitors

Doskeyev, G.A.; Edenova, O.A.; Spivak-Lavrov, I.F.

doi:10.1016/j.nima.2011.01.132

Cited by 8 publications

(2 citation statements)

References 2 publications

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“…Doskeyev et al [2] in 2011 gave similar implicit analytic mappings for finite cylindrical plates that terminate at ψ ¼ 0, neglecting the other end. Given in cylindrical coordinates ðρ; ψÞ concentric with the plates, the expressions are…”

Section: Cylindrical Platesmentioning

confidence: 99%

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Fringe electric fields of flat and cylindrical deflectors in electrostatic charged particle storage rings

Metodiev

Huang

Semertzidis

et al. 2014

Phys. Rev. ST Accel. Beams

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Analytic expressions for the potentials and fields of flat and cylindrical plates, including the fringe fields, are given. The present analysis extends and simplifies the current expression for the fields of flat plates and develops expressions for the fringe fields of cylindrical plates in terms of polar coordinates. The development of a FORTRAN program to output the field strength at a given location within the Proton Electric Dipole Moment (Proton EDM) ring is then described. Fourth-order Runge-Kutta integration is used to investigate the effect of fringe fields on particle and spin dynamics with precision tracking in the proposed Proton EDM experiment.

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Section: Cylindrical Platesmentioning

confidence: 99%

“…3. Equipotential lines, equally spaced in voltage, of concentric semicircles found using the methods mentioned [2] for cylindrical plates by reflecting about the vertical axis. Figure shown is for semicircular plates where R 2 =R 1 ¼ 2.…”

Section: Cylindrical Platesmentioning

confidence: 99%