dorsal/arxiv
View SchemaNonlinearities and Effects of Transverse Beam Size in Beam Position Monitors (revised)
| Authors | Sergey S. Kurennoy |
|---|---|
| Categories | |
| ArXiv ID | physics/0108015 |
| URL | https://arxiv.org/abs/physics/0108015 |
| DOI | 10.1103/PhysRevSTAB.4.092801 |
| Journal | Phys.Rev.ST Accel.Beams 4:092801,2001; Erratum-ibid.6:039902,2003 |
Abstract
The fields produced by a long beam with a given transverse charge distribution in a homogeneous vacuum chamber are studied. Signals induced by a displaced finite-size beam on electrodes of a beam position monitor (BPM) are calculated and compared to those produced by a pencil beam. The non-linearities and corrections to BPM signals due to a finite transverse beam size are calculated for an arbitrary chamber cross section. Simple analytical expressions are given for a few particular transverse distributions of the beam current in a circular or rectangular chamber. Of particular interest is a general proof that in an arbitrary homogeneous chamber the beam-size corrections vanish for any axisymmetric beam current distribution.
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"abstract": "The fields produced by a long beam with a given transverse charge\ndistribution in a homogeneous vacuum chamber are studied. Signals induced by a\ndisplaced finite-size beam on electrodes of a beam position monitor (BPM) are\ncalculated and compared to those produced by a pencil beam. The non-linearities\nand corrections to BPM signals due to a finite transverse beam size are\ncalculated for an arbitrary chamber cross section. Simple analytical\nexpressions are given for a few particular transverse distributions of the beam\ncurrent in a circular or rectangular chamber. Of particular interest is a\ngeneral proof that in an arbitrary homogeneous chamber the beam-size\ncorrections vanish for any axisymmetric beam current distribution.",
"arxiv_id": "physics/0108015",
"authors": [
"Sergey S. Kurennoy"
],
"categories": [
"physics.acc-ph"
],
"doi": "10.1103/PhysRevSTAB.4.092801",
"journal_ref": "Phys.Rev.ST Accel.Beams 4:092801,2001; Erratum-ibid.6:039902,2003",
"title": "Nonlinearities and Effects of Transverse Beam Size in Beam Position Monitors (revised)",
"url": "https://arxiv.org/abs/physics/0108015"
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