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3D magnetic optimization of dipole ends with rectangular cross-sections*

Published online by Cambridge University Press:  08 November 2013

Etienne Rochepault ,
Guy Aubert ,
Pierre Vedrine  and
Frédéric Bouillault
Etienne Rochepault*
Affiliation:
CEA Saclay, 91191 Gif-sur-Yvette, France University of Paris-Sud XI, 91405 Orsay, France
Guy Aubert
Affiliation:
CEA Saclay, 91191 Gif-sur-Yvette, France
Pierre Vedrine
Affiliation:
CEA Saclay, 91191 Gif-sur-Yvette, France
Frédéric Bouillault
Affiliation:
University of Paris-Sud XI, 91405 Orsay, France LGEP, 91192 Gif-sur-Yvette, France
*
ae-mail: [email protected]
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Abstract

In particle accelerators, the bending magnets have to be wound with flared ends. This particular shape induces an inhomogeneity in the magnetic field in the ends, which degrades the particle beam stability. This paper proposes a 3D modeling for conductors with rectangular cross-sections. The coil is first divided into blocks (parallelepipeds and arcs). Then the magnetic field is evaluated in every point of space by means of analytical formulas which allow an accurate computation. This method is also faster than numerical integrations of Biot and Savart law. Some optimization examples are finally presented and show that it is possible to minimize, with a few degrees of freedom only, the first field harmonics, integrated along the beam tube.

Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 64 , Issue 2 , November 2013 , 24507
Copyright
© EDP Sciences, 2013

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Footnotes

*

Contribution to the Topical Issue “Numelec 2012”, Edited by Adel Razek.

References

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