Quadrupole shapes
The usual practice of constructing quadrupoles from truncated cylindrical hyperbolae is put into question. A new shape is proposed. This shape has an analytic potential function. The exact shape of the analytic quadrupole may be impractical, but in the short case where aspect ratio length/aperture ≈...
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| Format: | Article |
| Language: | English |
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American Physical Society
2012-07-01
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| Series: | Physical Review Special Topics. Accelerators and Beams |
| Online Access: | http://doi.org/10.1103/PhysRevSTAB.15.074002 |
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doaj-93e42def1f1e49d7a3a224cdc2ce34672020-11-24T21:26:05ZengAmerican Physical SocietyPhysical Review Special Topics. Accelerators and Beams1098-44022012-07-0115707400210.1103/PhysRevSTAB.15.074002Quadrupole shapesR. BaartmanThe usual practice of constructing quadrupoles from truncated cylindrical hyperbolae is put into question. A new shape is proposed. This shape has an analytic potential function. The exact shape of the analytic quadrupole may be impractical, but in the short case where aspect ratio length/aperture ≈1, pole shapes can be spherical. The optimal spherical radius is found to be 1.65 times the aperture radius. An example is also given demonstrating that for aspect ratio >1, the aberrations of order 5 and higher are lower for the optimized shape.http://doi.org/10.1103/PhysRevSTAB.15.074002 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
R. Baartman |
| spellingShingle |
R. Baartman Quadrupole shapes Physical Review Special Topics. Accelerators and Beams |
| author_facet |
R. Baartman |
| author_sort |
R. Baartman |
| title |
Quadrupole shapes |
| title_short |
Quadrupole shapes |
| title_full |
Quadrupole shapes |
| title_fullStr |
Quadrupole shapes |
| title_full_unstemmed |
Quadrupole shapes |
| title_sort |
quadrupole shapes |
| publisher |
American Physical Society |
| series |
Physical Review Special Topics. Accelerators and Beams |
| issn |
1098-4402 |
| publishDate |
2012-07-01 |
| description |
The usual practice of constructing quadrupoles from truncated cylindrical hyperbolae is put into question. A new shape is proposed. This shape has an analytic potential function. The exact shape of the analytic quadrupole may be impractical, but in the short case where aspect ratio length/aperture ≈1, pole shapes can be spherical. The optimal spherical radius is found to be 1.65 times the aperture radius. An example is also given demonstrating that for aspect ratio >1, the aberrations of order 5 and higher are lower for the optimized shape. |
| url |
http://doi.org/10.1103/PhysRevSTAB.15.074002 |
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