dorsal/arxiv
View SchemaDeflections in Magnet Fringe Fields
| Authors | Yannis Papaphilippou, Jie Wei, Richard Talman |
|---|---|
| Categories | |
| ArXiv ID | physics/0302069 |
| URL | https://arxiv.org/abs/physics/0302069 |
| DOI | 10.1103/PhysRevE.67.046502 |
| Journal | Physical Review E 67, 046502 (2003) |
Abstract
A transverse multipole expansion is derived, including the longitudinal components necessarily present in regions of varying magnetic field profile. It can be used for exact numerical orbit following through the fringe field regions of magnets whose end designs introduce no extraneous components, {\it i.e.} fields not required to be present by Maxwell's equations. Analytic evaluations of the deflections are obtained in various approximations. Mainly emphasized is a ``straight-line approximation'', in which particle orbits are treated as straight lines through the fringe field regions. This approximation leads to a readily-evaluated figure of merit, the ratio of r.m.s. end deflection to nominal body deflection, that can be used to determine whether or not a fringe field can be neglected. Deflections in ``critical'' cases (e.g. near intersection regions) are analysed in the same approximation.
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"abstract": "A transverse multipole expansion is derived, including the longitudinal\ncomponents necessarily present in regions of varying magnetic field profile. It\ncan be used for exact numerical orbit following through the fringe field\nregions of magnets whose end designs introduce no extraneous components, {\\it\ni.e.} fields not required to be present by Maxwell\u0027s equations. Analytic\nevaluations of the deflections are obtained in various approximations. Mainly\nemphasized is a ``straight-line approximation\u0027\u0027, in which particle orbits are\ntreated as straight lines through the fringe field regions. This approximation\nleads to a readily-evaluated figure of merit, the ratio of r.m.s. end\ndeflection to nominal body deflection, that can be used to determine whether or\nnot a fringe field can be neglected. Deflections in ``critical\u0027\u0027 cases (e.g.\nnear intersection regions) are analysed in the same approximation.",
"arxiv_id": "physics/0302069",
"authors": [
"Yannis Papaphilippou",
"Jie Wei",
"Richard Talman"
],
"categories": [
"physics.acc-ph"
],
"doi": "10.1103/PhysRevE.67.046502",
"journal_ref": "Physical Review E 67, 046502 (2003)",
"title": "Deflections in Magnet Fringe Fields",
"url": "https://arxiv.org/abs/physics/0302069"
},
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