Field flattening in superconducting beam transport magnets

Author

Morgan, G.H.

Author_Institution

Brookhaven Nat. Lab., Upton, NY, USA

Volume

5

Issue

2

fYear

1995

fDate

6/1/1995 12:00:00 AM

Firstpage

857

Lastpage

860

Abstract

Dipoles in which the beam traverses the midplane well away from the magnet axis may benefit from flattening of the vertical field on the midplane. A procedure is described for doing so, making use of Chebyshev polynomials. In the case of the large aperture "DX" magnets located immediately on each side of the six intersection regions of the Relativistic Heavy Ion Collider (RHIC), a comparison is made of the field of coils optimized in this way and of coils optimized in the more common way by minimizing the leading coefficients of the Fourier expansion about the magnet axis. The comparison is of the integrated Fourier coefficients of the field expanded locally along the beam trajectory.<>

Keywords

Fourier series; accelerator magnets; colliding beam accelerators; ion accelerators; polynomials; superconducting magnets; Chebyshev polynomials; Fourier expansion; Relativistic Heavy Ion Collider; beam trajectory; dipoles; field flattening; integrated Fourier coefficients; large aperture DX magnets; superconducting beam transport magnets; Apertures; Chebyshev approximation; Conductors; Iron; Laboratories; Particle beams; Polynomials; Superconducting coils; Superconducting magnets;

fLanguage

English

Journal_Title

Applied Superconductivity, IEEE Transactions on

Publisher

ieee

ISSN

1051-8223

Type

jour

DOI

10.1109/77.402683

Filename

402683