Two-dimensional magnetic sensitivity to asymmetric and symmetric deviations for SSC quadrupole magnets

The magnetic multipole sensitivity to asymmetric and symmetric deviations is analyzed in the two-dimensional cross-section of SSC quadrupole magnets. Deviations in the 2D cross-section caused by variations in the superconducting cable locations due to changes in the thickness of the pole sheet, mid plane insulation, inter-layer spacer, backing sheet, and copper wedges have direct impact on the magnetic field gradient and multipoles in the straight section of the magnets. Asymmetric deviations due to different coil sizes in a cross-section are also analyzed. The analyses are performed mainly with the software package AHARM. SSCMAG and finite element software PE2D were also used to obtain baselines and to verify the results. The results provide information essential to an understanding of the deviations of the multipoles resulting from manufacturing processes, and suggest possibilities for tuning the multipoles to meet the magnetic requirements