Rd. Schlueter et K. Halbach, SKEW HARMONICS SUPPRESSION IN ELECTROMAGNETS WITH APPLICATION TO THE ADVANCED LIGHT-SOURCE (ALS) STORAGE-RING CORRECTOR MAGNET DESIGN, IEEE transactions on magnetics, 30(4), 1994, pp. 2126-2129
An analytical expression for prediction of skew harmonics in an iron c
ore combined function regular/skew dipole magnet due to arbitrarily po
sitioned electromagnet coils is developed. A structured approach is pr
esented for the suppression of an arbitrary number of harmonic compone
nts to arbitrarily low values. Application of the analytical harmonic
strength calculations coupled to the structured harmonic suppression a
pproach is presented in the context of the design of the ALS storage r
ing corrector magnets, where quadrupole, sextupole, and octupole skew
harmonics were reduced to less than 1.0% of the skew dipole at the bea
m aperture radius r = 3.0 cm.